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mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} </style> <![endif]--> <script language="JavaScript" type="text/javascript"> <!-- function IMG1_onclick() { } // --> </script> <!--[if gte mso 9]><xml> <o:shapedefaults v:ext="edit" spidmax="9218"/> </xml><![endif]--><!--[if gte mso 9]><xml> <o:shapelayout v:ext="edit"> <o:idmap v:ext="edit" data="1"/> </o:shapelayout></xml><![endif]--> </head> <body bgcolor=white background="http://two.xthost.info/ikr/slike/pozadina.jpg" lang=SR link="#000010" vlink=blue style='tab-interval:35.4pt'> <div class=Section1> <p class=MsoNormal><u><span style='font-size:36.0pt'>Kretanje<o:p></o:p></span></u></p> <p class=MsoNormal><o:p>&nbsp;</o:p></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Mehanika - deo fizike koji prou ava kretanje</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Kinematika - opisuje kretanje, ne bavi se i uzrocima kretanja</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Dinamika - bavi se na inom i uzrocima kretanja</span></p> <p class=MsoNormal style='text-align:justify'><u><o:p><span style='text-decoration: none'>&nbsp;</span></o:p></u></p> <p class=MsoNormal style='text-align:justify;line-height:150%'><u><span style='font-size:20.0pt;line-height:150%'>Mehani ko kretanje :<o:p></o:p></span></u></p> <p class=MsoNormal style='text-align:justify'>- Neprestano u estvujemo u kretanju</p> <p class=MsoNormal style='text-align:justify'>- Mehani ko kretanje tela je kretanje tela u odnosu na neko drugo telo</p> <p class=MsoNormal style='text-align:justify'>- Karakteristike kretanja (da li se telo kree ili miruje, kolika je brzina njegovog kretanja, koliki put prelazi, kako izgleda putanja...) zavise od izbora tela u odnosu na koje se kretanje posmatra.<span style='mso-spacerun:yes'>  </span>- <b>Mehani ko kretanje je relativno</b></p> <p class=MsoNormal style='text-align:justify'>- Telo u odnosu na koje se posmatra kretanje drugih tela naziva se <b>referentno telo<o:p></o:p></b></p> <p class=MsoNormal style='text-align:justify'><b>- </b>Najbolje je izabrati referentno telo u odnosu na koje je posmatrano kretanje najprostije</p> <p class=MsoNormal style='text-align:justify'>- Dok posmatramo kretanje nekog tela, mo~emo zanemariti njegov oblik i dimenzije i to telo se mo~e predstaviti kao ta ka, ali se ne mo~e zanemariti njegova masa i onda smatramo da je u toj ta ki koncentrisana celokupna masa tela</p> <p class=MsoNormal style='text-align:justify'>- <b>Materijalna ta ka </b>je telo ije se dimenzije u posmatranom kretanju mogu zanemariti i mo~e se smatrati da se u toj ta ki nalazi celokupna masa tela.</p> <p class=MsoNormal style='text-align:justify'>- Jedno isto telo u nekom kretanju mo~e se smatrati materijalnom ta kom, a u nekom drugom ne mo~e (npr. satelit u orbiti oko Zemlje, dimenzije satelita mogu se zanemariti, a kada se prou ava kretanje satelita pri ulasku u Zemljinu atmosferu, mora se uzeti u obzir otpor vazduha, a on zavisi od oblika i dimenzija satelita)</p> <p class=MsoNormal style='text-align:justify'><o:p>&nbsp;</o:p></p> <p class=MsoNormal style='text-align:justify;line-height:150%'><span style='font-size:18.0pt;line-height:150%'>Polo~aj i promena polo~aja<o:p></o:p></span></p> <p class=MsoNormal style='text-align:justify'><u>Referentni sistem<o:p></o:p></u></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Referentni sistemi se koriste da bi se polo~aj nekog tela mogao jednozna no odrediti</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Najjednostavniji referentni sistem, koji se u fizici najviae koristi - Dekartov pravougli koordinatni sistem</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Sa injen je od tri meusobno normalne ose, a koordinatni po etak vezan je za referentno telo</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Polo~aj materijalne ta ke u Dekartovom sistemu odreen je sa tri koordinate</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Pri kretanju se menja polo~aj tela, menjaju se njegove koordinate</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Kada je kretanje pravolinijsko, za odreivanje polo~aja dovoljna je samo jedna koordinatna osa - pravac kretanja mo~emo  proglasiti recimo x-osom; tada se tokom kretanja menja samo x-koordinata, a drue dve koordinate sve vreme ostaju jednake nuli</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Sli no tome, za opisivanje kretanja u ravni dovoljne su dve koordinatne ose</span></p> <p class=MsoNormal style='text-align:justify'><o:p>&nbsp;</o:p></p> <p class=MsoNormal style='text-align:justify'><u>Vektor polo~aja<o:p></o:p></u></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Svakoj ta ki u Dekartovom koordinatnom sistemu mo~e se produ~iti vektor (r), iji se po etak poklapa sa koordinatnim po etkom, a kraj sa datom ta kom </span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Taj vektor se zove <b>vektor polo~aja</b></span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Njegov smer je od koordinatnog po etka ka toj ta ki</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Vektor polo~aja mo~e biti usmerena dijagonala kvadra ije su stranice npr. x , y, z pa je intenzitet vektora polo~aja :</span></p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify'><br> <span style='font-size:15.0pt;font-family:"Lucida Console"'>r<sup>2</sup> </span><span lang=EN-US style='font-size:15.0pt;font-family:"Lucida Console";mso-ansi-language: EN-US'>= x<sup>2</sup> + y<sup>2 + </sup>z<sup>2</sup></span></p> <p class=MsoNormal style='text-align:justify'><span lang=EN-US style='mso-ansi-language:EN-US'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='text-align:justify'><u>Pomeraj<o:p></o:p></u></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Pri kretanju materijalne ta ke menja se njen polo~aj, a veli ina kojom se ta promena opisuje zove se <b>pomeraj</b>, ili <b>vektor pomeraja</b></span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR><b>Pomeraj </b>je vektor koji spaja po etni i krajnji polo~aj ta ke, usmeren od po etnog ka krajnjem</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Pomeraj se mo~e izraziti preko vektora po etnog i vektora krajnjeg polo~aja ta ke :</span></p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify'><span style='font-size:20.0pt;font-family:"Lucida Console"'>’!<span style='mso-spacerun:yes'>   </span>’!<span style='mso-spacerun:yes'>  </span>’! </span><span style='font-size:20.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify'><span class=SpellE><span lang=EN-US style='font-size:15.0pt;font-family:"Lucida Console"; mso-ansi-language:EN-US'>”r</span></span><span lang=EN-US style='font-size: 15.0pt;font-family:"Lucida Console";mso-ansi-language:EN-US'> = r<sub>2 - </sub>r<sub>1<o:p></o:p></sub></span></p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify'><sub><o:p>&nbsp;</o:p></sub></p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify'><sub><o:p>&nbsp;</o:p></sub></p> <p class=MsoNormal style='text-align:justify'><u>Putanja i put<o:p></o:p></u></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Prilikom kretanja materijalne ta ke njen polo~aj se menja, ona ispisuje neku zamialjenu liniju, <b>putanju</b>.</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Linija koju materijalna ta ka opisuje tokom kretanja, odnosno skup uzastopnih polo~aja kroz koje ta ka proe pri kretanju, zove se <b>putanja</b>.</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Po obliku putanje, kretanja se dele na <b>pravolinijska</b> i <b>krivolinijska</b></span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Oblik putanje zavisi od referentnog sistema iz kojeg se posmatra kretanje</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-bidi-font-weight:bold'><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span dir=LTR><b>Put </b>je du~ina putanje (ili dela putanje) koju materijalna ta ka (odnosno telo) <b>pree pri kretanju<o:p></o:p></b></span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Merna jedinica za put je <b>metar</b> ( <b>1m</b> )</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Brojne vrednosti puta mogu biti samo pozitivne :</span></p> <p class=MsoNormal style='margin-left:18.0pt;text-align:justify'>Bez obzira na eventualnu promenu smera kretanja, ukupan preeni put jednak je zbiru svih du~ina preenih u jednom i u drugom smeru.</p> <p class=MsoNormal style='margin-left:18.0pt;text-align:justify'><o:p>&nbsp;</o:p></p> <p class=MsoNormal style='text-align:justify'><u>Ravnomerno i promenjljivo kretanje<o:p></o:p></u></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Kretanja se dela na <b>ravnomerna</b> i <b>neravnomerna</b> (<b>promenjljiva</b>) kretanja</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR><b>Ravnomerno</b> je ono kretanje pri kojem telo prelazi u jednakim vremenskim intervalima jednake puteve</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo1;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR><b>Neravnomerno </b>je ono kretanje pri kojem telo prelazi u jednakim vremenskim intervalima razli ite puteve</span></p> <p class=MsoNormal style='text-align:justify'><span style='font-size:18.0pt'>Translatorno i rotaciono kretanje<o:p></o:p></span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Kada se neko telo kree, njegovi delii mogu se kretati na isti na in ili na razli ite na ine</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;line-height:150%;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Postoje dva osnovna oblika kretanja : </span></p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify;line-height: 150%'><b>+ Translatorno<o:p></o:p></b></p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify;line-height: 150%'><b>+ Rotaciono<o:p></o:p></b></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR><b>Translatorno kretanje</b> je oblik kretanja pri kojem se sve ta ke tela kreu na isti na in; du~ koja spaja bilo koje dve ta ke tela pomera se paralelno samoj sebi.</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Kod translatornog kretanja svi delii tela se kreu po jednakim paralelnim putanjama.</span></p> <p class=MsoNormal style='margin-left:18.0pt;text-align:justify'><o:p>&nbsp;</o:p></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR><b>Rotaciono kretanje</b> je oblik kretanja pri kojem sve ta ke tela opisuju kru~ne putanje razli itih polupre nika u paralelnim ravnima, a centri tih kru~nica le~e na jednoj pravoj koja se zove osa rotacije.</span></p> <p class=MsoNormal style='text-align:justify'><o:p>&nbsp;</o:p></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Svako slo~eno kretanje mo~e se razlo~iti na translatorna i rotaciona kretanja.</span></p> <p class=MsoNormal style='text-align:justify'><o:p>&nbsp;</o:p></p> <p class=MsoNormal style='text-align:justify'><u>Brzina<o:p></o:p></u></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Jedna od veli ina kojom se opisuje kretanje</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Njome se karakteriae preeni put u jedinici vremena - br~e je ono telo koje za isto vreme pree vei put</span></p> <p class=MsoNormal style='text-align:justify;line-height:150%'><u>Srednja brzina<o:p></o:p></u></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Dva oblika srednje brzne u fizici</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Naj eae se pod  srednja brzina podrazumeva prose na brzina na nekom putu i ta veli ina se zove <b>srednja putna brzina</b></span></p> <p class=MsoNormal style='margin-left:18.0pt;text-align:justify'><b><o:p>&nbsp;</o:p></b></p> <p class=MsoNormal style='margin-left:18.0pt;text-align:justify'><span style='font-size:10.0pt;font-family:"Comic Sans MS"'><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> <v:stroke joinstyle="miter"/> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"/> <v:f eqn="sum @0 1 0"/> <v:f eqn="sum 0 0 @1"/> <v:f eqn="prod @2 1 2"/> <v:f eqn="prod @3 21600 pixelWidth"/> <v:f eqn="prod @3 21600 pixelHeight"/> <v:f eqn="sum @0 0 1"/> <v:f eqn="prod @6 1 2"/> <v:f eqn="prod @7 21600 pixelWidth"/> <v:f eqn="sum @8 21600 0"/> <v:f eqn="prod @7 21600 pixelHeight"/> <v:f eqn="sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> <o:lock v:ext="edit" aspectratio="t"/> </v:shapetype><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:2in; height:57pt'> <v:imagedata src="Kretanje_files/image002.jpg" o:title="srednja%20brzina1"/> </v:shape><![endif]--><![if !vml]> <img src="http://two.xthost.info/ikr/slike/srednja%20brzina1.jpg"> <![endif]><o:p></o:p></span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Tu je s preeni put tela u toku vremenskog intervala od trenutka t<sub>1 </sub>do trenutka t<sub>2</sub> </span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Taj vremenski interval nazivamo vreme kretanja i mo~emo ga ozna iti samo sa t (gde je t = t<sub>2</sub> - t<sub>1</sub>) , onda formula glasi :</span></p> <p class=MsoNormal style='margin-left:18.0pt;text-align:justify'><o:p>&nbsp;</o:p></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify'><!--[if gte vml 1]><v:shape id="_x0000_i1026" type="#_x0000_t75" style='width:90pt;height:69.75pt'> <v:imagedata src="Kretanje_files/image001.jpg" o:title="v%20jednako%20s%20kroz%20t%20sl.1"/> </v:shape><![endif]--><![if !vml]> <img src="http://two.xthost.info/ikr/slike/v%20jednako%20s%20kroz%20t%20sl.1.jpg"> <![endif]></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Srednja brzina puta je koli nik preenog puta i vremenskog intervala utroaenog za prela~enje tog puta</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Odavde izgleda kao da je srednja brzina skalarna veli ina, a nije, nego je vektorska.</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR><b>Srednja vektorska brzina</b> je koli nik vektora pomeraja i vremenskog intervala u toku kojeg je taj pomeraj napravljen.</span></p> <p class=MsoNormal style='text-align:justify;mso-pagination:none;mso-layout-grid-align: none;text-autospace:none'><span style='font-size:10.0pt;font-family:Tahoma'><span style='mso-spacerun:yes'>    </span><o:p></o:p></span></p> <p class=MsoNormal style='text-align:justify;text-indent:35.4pt'><span style='font-size:20.0pt;font-family:"Lucida Console";mso-bidi-font-family:Tahoma'>’!<span style='mso-spacerun:yes'>  </span>’!</span><span style='font-size:20.0pt; font-family:Tahoma'><o:p></o:p></span></p> <p class=MsoNormal style='text-align:justify;text-indent:35.4pt'><i><span style='font-size:15.0pt'>v</span></i><sub><span style='font-size:15.0pt'>s</span></sub><span style='font-size:15.0pt'> =<span style='mso-spacerun:yes'>   </span>”r<span style='mso-spacerun:yes'>  </span>/<span style='mso-spacerun:yes'>  </span>t<o:p></o:p></span></p> <p class=MsoNormal style='text-align:justify'><span style='font-size:15.0pt; font-family:"Lucida Console";mso-bidi-font-family:Tahoma'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Odatle sledi :</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify'>+ pravac i smer vektorske brzine su isti kao pravac i smer vektora pomeraja</p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify'>+ intenzitet vektorske srednje brzine jednak je koli niku du~ine pomeraja i proteklog vremena </p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Jedinica za brzinu je <b>metar u sekundi<span style='mso-spacerun:yes'>  </span></b>(<b> m / s</b>)</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Intenzitet vektora srednje brzine jednak je srednjoj putnoj brzini samo u slu aju pravolinijskog kretanja u jednom smeru.</span></p> <p class=MsoNormal style='text-align:justify;line-height:150%'><u>Trenutna brzina<o:p></o:p></u></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Ako se zna srednja brzina kretanja tela, onda se zna samo koliki je put telo prealo tokom datog vremenskog intervala, ali se ne mo~e znati da li se telo sve vreme kretalo tom brzinom, ili je kretanje bilo promenljivo i<span style='mso-spacerun:yes'>  </span>kako se menjalo.</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Kretanje tela je potpuno poznato ako se znaju polo~aj i brzina tela u svakom trenutku.</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-bidi-font-weight:bold'><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span dir=LTR><b>Trenutna brzina</b> je brzina tela u nekom trenutku<b><o:p></o:p></b></span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Kada se ka~e samo brzina misli se na trenutnu brzinu</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-bidi-font-weight:bold'><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span dir=LTR>Za odreivanje trenutne brzine treba posmatrati pomeraj tela u beskona no malom vremenskom intervalu jer je samo beskona no mali vremenski interval blizak jednom trenutku.<b><o:p></o:p></b></span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-bidi-font-weight:bold'><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span dir=LTR>Ako za beskona no vreme </span><span style='font-family:"Lucida Console"'>”t</span> telo napravi beskona no mali pomeraj <span style='font-family:"Lucida Console"'>”r</span>, trenutna brzina tela je :<b><o:p></o:p></b></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-bidi-font-weight:bold'><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span dir=LTR>Trenutna brzina je srednja brzina u beskona no malom vremenskom intervalu<b><o:p></o:p></b></span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-bidi-font-weight:bold'><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span dir=LTR>Tokom kretanja trenutna brzina se mo~e menjati, a mo~e biti i konstantna (barem u nekom delu puta)<b><o:p></o:p></b></span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-bidi-font-weight:bold'><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span dir=LTR>Kod ravnomernog kretanja intenzitet brzine je konstantan, a kod neravnomernog kretanja intenzitet brzine se menja.<b><o:p></o:p></b></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto'><u><span style='color:black'>Trenutna brzina kao vektor</span></u><span style='color:black'><o:p></o:p></span></p> <ul type=disc> <li class=MsoNormal style='color:black;mso-margin-top-alt:auto;mso-list:l8 level1 lfo3; tab-stops:list 36.0pt'>U slu aju pravolinijskog kretanja vektor brzine ima pravac putanje<o:p></o:p></li> <li class=MsoNormal style='color:black;mso-margin-top-alt:auto;mso-list:l8 level1 lfo3; tab-stops:list 36.0pt'>Kod kretanja po krivoj liniji pravac vektora trenutne brzine je pravac tangente na putanju tela<o:p></o:p></li> </ul> <p class=MsoNormal style='mso-margin-top-alt:auto'><span style='color:black'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto'><u><span style='font-size: 20.0pt;color:black'>Zakon slaganja brzina</span></u><span style='color:black'><o:p></o:p></span></p> <ul type=disc> <li class=MsoNormal style='color:black;mso-margin-top-alt:auto;mso-list:l5 level1 lfo4; tab-stops:list 36.0pt'>Brzina je jedna od fizi kih veli ina ija vrednost zavisi od izbora referentnog sistema<o:p></o:p></li> <li class=MsoNormal style='color:black;mso-margin-top-alt:auto;mso-list:l5 level1 lfo4; tab-stops:list 36.0pt'>Npr. u vozu koji se kree 80 km / h se nalazi kofer na polici. Njegova brzina za putnika je<o:p></o:p></li> </ul> <p class=MsoNormal style='mso-margin-top-alt:auto;margin-left:18.15pt'><span style='color:black'>0 km / h , a za npr. ~elezni ara na stanici 80 km / h. A, ako pored tog voza prolazi drugi voz, brzinom od 70 km / h , u suprotnom smeru, brzina tog istog kofera za putnika u drugom vozu je jednaka 150 km / h.<o:p></o:p></span></p> <ul type=disc> <li class=MsoNormal style='color:black;mso-margin-top-alt:auto;mso-list:l4 level1 lfo5; tab-stops:list 36.0pt'>Ako imamo jedno pokretno telo , koje se kree u odnosu na jedno nepokreetno telo, a po pokretnom telu se kree tree telo (npr. ovek) i hoemo da izra unamo brzinu kretanja tog oveka, onda to radimo ovako :<o:p></o:p></li> </ul> <p class=MsoNormal style='mso-margin-top-alt:auto;margin-left:18.15pt'><span style='color:black'>Znamo da je pomeraj oveka u odnosu na nepokretno telo ("<!--[if gte vml 1]><v:shape id="_x0000_i1027" type="#_x0000_t75" style='width:12.75pt;height:17.25pt'> <v:imagedata src="Kretanje_files/image005.gif" o:title="r%20vec"/> </v:shape><![endif]--><![if !vml]> <img src="http://two.xthost.info/ikr/slike/r%20vec.gif"> <![endif]>) jednak zbiru pomeraja pokretnog tela u odnosu na nepokretno ("<!--[if gte vml 1]><v:shape id="_x0000_i1031" type="#_x0000_t75" style='width:12.75pt;height:17.25pt'> <v:imagedata src="Kretanje_files/image006.gif" o:title="x%20vec"/> </v:shape><![endif]--><![if !vml]> <img src="http://two.xthost.info/ikr/slike/x%20vec.gif"> <![endif]>) i pomeraju oveka u odnosu na pokretno telo <o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;margin-left:18.15pt'><span style='color:black'>("<!--[if gte vml 1]><v:shape id="_x0000_i1028" type="#_x0000_t75" style='width:12.75pt;height:17.25pt'> <v:imagedata src="Kretanje_files/image005.gif" o:title="r%20vec"/> </v:shape><![endif]--><![if !vml]> <span style='color:black'><img src="http://two.xthost.info/ikr/slike/r%20vec.gif"></span> <![endif]></span><span style='font-size:8.0pt;color:black'>1</span><span style='color:black'>) tj. :<o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;text-indent:18.0pt'><span style='color:black'>"<!--[if gte vml 1]><v:shape id="_x0000_i1029" type="#_x0000_t75" style='width:12.75pt;height:17.25pt'> <v:imagedata src="Kretanje_files/image005.gif" o:title="r%20vec"/> </v:shape><![endif]--><![if !vml]> <span style='color:black'><img src="http://two.xthost.info/ikr/slike/r%20vec.gif"></span> <![endif]>= "<!--[if gte vml 1]><v:shape id="_x0000_i1032" type="#_x0000_t75" style='width:12.75pt;height:17.25pt'> <v:imagedata src="Kretanje_files/image006.gif" o:title="x%20vec"/> </v:shape><![endif]--><![if !vml]> <span style='color:black'><img src="http://two.xthost.info/ikr/slike/x%20vec.gif"></span> <![endif]>+ "<!--[if gte vml 1]><v:shape id="_x0000_i1030" type="#_x0000_t75" style='width:12.75pt;height:17.25pt'> <v:imagedata src="Kretanje_files/image005.gif" o:title="r%20vec"/> </v:shape><![endif]--><![if !vml]> <span style='color:black'><img src="http://two.xthost.info/ikr/slike/r%20vec.gif"></span> <![endif]></span><span style='font-size:8.0pt;color:black'>1</span><span style='color:black'><o:p></o:p></span></p> <ul type=disc> <li class=MsoNormal style='color:black;mso-margin-top-alt:auto;mso-list:l2 level1 lfo6; tab-stops:list 36.0pt'>I kad ovu jedna inu podelimo sa "t (poato je brzina jednaka koli niku pomeraja i vremena) :<o:p></o:p></li> </ul> <p class=MsoNormal style='mso-margin-top-alt:auto'><span style='color:black'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;margin-left:18.15pt'><span style='color:black'><!--[if gte vml 1]><v:shape id="_x0000_i1033" type="#_x0000_t75" style='width:110.25pt;height:36pt'> <v:imagedata src="Kretanje_files/image007.gif" o:title="delta%20r%20kroz%20delta%20t"/> </v:shape><![endif]--><![if !vml]> <img src="http://two.xthost.info/ikr/slike/delta%20r%20kroz%20delta%20t.gif"> <![endif]><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto'><span style='color:black'>ili mo~e i ovako :<o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;text-indent:35.4pt'><span style='color:black'><!--[if gte vml 1]><v:shape id="_x0000_i1034" type="#_x0000_t75" style='width:12.75pt;height:17.25pt'> <v:imagedata src="Kretanje_files/image008.gif" o:title="v%20vec"/> </v:shape><![endif]--><![if !vml]> <img src="http://two.xthost.info/ikr/slike/v%20vec.gif"> <![endif]></span><span style='font-size:20.0pt;color:black'>= </span><span style='color:black'><!--[if gte vml 1]><v:shape id="_x0000_i1035" type="#_x0000_t75" style='width:12.75pt;height:17.25pt'> <v:imagedata src="Kretanje_files/image009.gif" o:title="u%20vec"/> </v:shape><![endif]--><![if !vml]> <img src="http://two.xthost.info/ikr/slike/u%20vec.gif"> <![endif]></span><span style='font-size:20.0pt;color:black'>+ </span><span style='color:black'><!--[if gte vml 1]><v:shape id="_x0000_i1036" type="#_x0000_t75" style='width:12.75pt;height:17.25pt'> <v:imagedata src="Kretanje_files/image008.gif" o:title="v%20vec"/> </v:shape><![endif]--><![if !vml]> <span style='color:black'><img src="http://two.xthost.info/ikr/slike/v%20vec.gif"></span> <![endif]><sub>1</sub><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto'><span style='color:black'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto'><span style='color:black'>(<!--[if gte vml 1]><v:shape id="_x0000_i1037" type="#_x0000_t75" style='width:12.75pt;height:17.25pt'> <v:imagedata src="Kretanje_files/image008.gif" o:title="v%20vec"/> </v:shape><![endif]--><![if !vml]> <span style='color:black'><img src="http://two.xthost.info/ikr/slike/v%20vec.gif"></span> <![endif]>je brzina oveka, a <!--[if gte vml 1]><v:shape id="_x0000_i1038" type="#_x0000_t75" style='width:12.75pt;height:17.25pt'> <v:imagedata src="Kretanje_files/image009.gif" o:title="u%20vec"/> </v:shape><![endif]--><![if !vml]> <span style='color:black'><img src="http://two.xthost.info/ikr/slike/u%20vec.gif"></span> <![endif]>je brzina pokretnog tela u odnosu na nepokretno, a <!--[if gte vml 1]><v:shape id="_x0000_i1039" type="#_x0000_t75" style='width:12.75pt;height:17.25pt'> <v:imagedata src="Kretanje_files/image008.gif" o:title="v%20vec"/> </v:shape><![endif]--><![if !vml]> <span style='color:black'><img src="http://two.xthost.info/ikr/slike/v%20vec.gif"></span> <![endif]><sub>1</sub></span><span style='font-size:8.0pt;color:black'> </span><span style='color:black'>je brzina oveka u odnosu na nepokretno telo)<o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto'><span style='color:black'><o:p>&nbsp;</o:p></span></p> <ul type=disc> <li class=MsoNormal style='color:black;mso-margin-top-alt:auto;mso-list:l3 level1 lfo7; tab-stops:list 36.0pt'><b>Brzina tela u odnosu na nepokretni referentni sistem jednaka ke zbiru brzine pokretnog referentnog sistema i brzine tela u odnosu na pokretni referentni sistem.</b><o:p></o:p></li> </ul> <p class=MsoNormal style='mso-margin-top-alt:auto'><u><span style='font-size: 15.0pt;color:black'>Ubrzanje</span></u><span style='font-size:15.0pt; color:black'><o:p></o:p></span></p> <ul type=disc> <li class=MsoNormal style='color:black;mso-margin-top-alt:auto;mso-list:l7 level1 lfo8; tab-stops:list 36.0pt'>Ubrzanje je veli ina koja se koristi da bi opisala promenu brzine u toku vremena<o:p></o:p></li> <li class=MsoNormal style='color:black;mso-margin-top-alt:auto;mso-list:l7 level1 lfo8; tab-stops:list 36.0pt'>Brzina tela se mo~e menjati ravnomerno, npr. u toku svake sekunde poveati se za istu vrednost, a mo~e se menjati i na bilo koji drugi na in, to zna i da ubrzanje mo~e biti promenjljivo, pa se, kao i u slu aju brzina, definiau srednje i trenutno ubrzanje<o:p></o:p></li> <li class=MsoNormal style='color:black;mso-margin-top-alt:auto;mso-list:l7 level1 lfo8; tab-stops:list 36.0pt'><u>Srednje ubrzanje</u><o:p></o:p></li> </ul> <p class=MsoNormal style='mso-margin-top-alt:auto'><span style='color:black'>Srednje ubrzanje je koli nik promene brzine i vremenskog intervala u toku kojeg je ta promena na injena.<o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto'><span style='color:black'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;text-indent:35.4pt'><span style='color:black'><!--[if gte vml 1]><v:shape id="_x0000_i1040" type="#_x0000_t75" style='width:103.5pt;height:36pt'> <v:imagedata src="Kretanje_files/image010.gif" o:title="a%20jednako%20delta%20v%20kroz%20t"/> </v:shape><![endif]--><![if !vml]> <img src="http://two.xthost.info/ikr/slike/a%20jednako%20delta%20v%20kroz%20t.gif"> <![endif]><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto'><span style='color:black'><o:p>&nbsp;</o:p></span></p> <ul type=disc> <li class=MsoNormal style='color:black;mso-margin-top-alt:auto;mso-list:l1 level1 lfo9; tab-stops:list 36.0pt'><u>Trenutno ubrzanje</u><o:p></o:p></li> </ul> <p class=MsoNormal style='mso-margin-top-alt:auto;margin-left:36.0pt'><span style='color:black'>Trenutno ubrzanje definiae se sli no kao trenutna brzina.<o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;margin-left:36.0pt'><span style='color:black'>Da bi se moglo govoriti o ubrzanju u nekom <i>trenutku</i>, potrebno je posmatrati promenu brzine u <i>beskona no malom vremenskom intervalu </i>od tog trenutka do narednog<o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;margin-left:36.0pt'><span style='color:black'>Trenutno ubrzanje je srednje ubrzanje u beskona no malom vremenskom intervalu<o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;text-indent:35.4pt'><span style='color:black'><!--[if gte vml 1]><v:shape id="_x0000_i1041" type="#_x0000_t75" style='width:1in;height:54pt'> <v:imagedata src="Kretanje_files/image003.gif" o:title="trenutno%20ubrzanje"/> </v:shape><![endif]--><![if !vml]><img src="http://two.xthost.info/ikr/slike/trenutno%20ubrzanje.gif"> <![endif]><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto'><span style='color:black'>Jedinica je metar u sekundi na kvadrat <!--[if gte vml 1]><v:shape id="_x0000_i1042" type="#_x0000_t75" style='width:25.5pt;height:36pt'> <v:imagedata src="Kretanje_files/image013.gif" o:title="1m%20u%20sekundi%20na%20kvadrat"/> </v:shape><![endif]--><![if !vml]> <img src="http://two.xthost.info/ikr/slike/1m%20u%20sekundi%20na%20kvadrat.gif"> <![endif]><o:p></o:p></span></p> <ul type=disc> <li class=MsoNormal style='color:black;mso-margin-top-alt:auto;mso-list:l6 level1 lfo10; tab-stops:list 36.0pt'><u>Ubrzanje kod krivolinijskog kretanja</u><o:p></o:p></li> </ul> <p class=MsoNormal style='mso-margin-top-alt:auto;margin-left:36.0pt'><span style='color:black'>Brzina tela ima pravac tangente na putanju. Ukoliko je kretanje ravnomerno, intezitet brzine je konstantan, ali se kod ravnomernog krivolinijskog kretanja menja pravac vektora brzine. Zato je ubrzanje krivolinijskog kretanja svakako razli ito od nule. Naime, vektor ubrzanja ima isti pravac kao vektor promene brzine. <o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;margin-left:36.0pt'><span style='color:black'>Za vektor ubrzanja kod krivolinijskog kretanja ne mo~emo rei da ima neki odreeni pravac (kao ato nrp. brzina ima pravac tangente na putanju), ali mo~emo rei<span style='mso-spacerun:yes'>  </span>da :<o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;margin-left:36.0pt'><span style='color:black'>Vektor ubrzanja u opatem slu aju mo~e se razlo~iti na dve komponente: jednu u pravcu tangente na putanju i drugu u pravcu normale na tangentu :<o:p></o:p></span></p> <p class=MsoNormal style='text-align:justify;text-indent:35.4pt'><span style='font-size:20.0pt;font-family:"Lucida Console";mso-bidi-font-family:Tahoma'>’!<span style='mso-spacerun:yes'>  </span>’!<span style='mso-tab-count:1'>  </span>’!</span><span style='font-size:20.0pt;font-family:Tahoma'><o:p></o:p></span></p> <p class=MsoNormal style='text-align:justify;text-indent:35.4pt'><i><span style='font-size:15.0pt'>a</span></i><span style='font-size:15.0pt'> =<span style='mso-spacerun:yes'>    </span><span style='mso-spacerun:yes'> </span><i>a<sub>t<span style='mso-spacerun:yes'>   </span></sub>+ a<sub>n</sub><o:p></o:p></i></span></p> <p class=MsoNormal style='text-align:justify'><b><span style='mso-tab-count: 1'>            </span><o:p></o:p></b></p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify'>Komponenta ubrzanja u pravcu tangente zove se tangencijalno ubrzanje, a komponenta u pravcu normale je normalno ubrzanje.</p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify'><o:p>&nbsp;</o:p></p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify'>Normalno ubrzanje postoji kada se menja pravac kretanja tela.</p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify'>Tangencijalno ubrzanje postoji kada se menja intenzitet vektora brzine.</p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify'>Intenzitet tangencijalnog ubrzanja odreen je formulom :</p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify'><i><span style='font-size:15.0pt'>a<sub>t<span style='mso-spacerun:yes'>  </span></sub></span></i><span style='font-size:15.0pt'><span style='mso-spacerun:yes'> </span>=<span style='mso-spacerun:yes'>  </span>” <i>v</i> / ” <i>t<sub><span style='mso-spacerun:yes'>   </span><o:p></o:p></sub></i></span></p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify'><i><sub><span style='font-size:15.0pt'><o:p>&nbsp;</o:p></span></sub></i></p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify'><span style='font-size:11.0pt'>” <i>t<sub><span style='mso-spacerun:yes'>    </span></sub>je beskona no mali vremenski interval, </i>” <i>v promena intenziteta brzine u tom vremenskom intervalu<o:p></o:p></i></span></p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify'><o:p>&nbsp;</o:p></p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify'>Poato su pravci tangencijalnog i normalnog ubrzanja meusobno normalni, intenziteti tih vektora i vektora ukupnog ubrzanja povezani su formulom :</p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify'><o:p>&nbsp;</o:p></p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify'><i><span style='font-size:15.0pt'>a<sup>2</sup> = a<sub>t </sub><sup>2 </sup>+ a<sub>n </sub><sup>2<o:p></o:p></sup></span></i></p> <p class=MsoNormal style='margin-left:35.4pt;text-align:justify'><i><sup><span style='font-size:15.0pt'><o:p>&nbsp;</o:p></span></sup></i></p> <p class=MsoNormal style='text-align:justify;line-height:150%'><u><span style='font-size:20.0pt;line-height:150%'>Pravolinijsko kretanje :<o:p></o:p></span></u></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Pri pravolinijskom kretanju svi delii tela kreu se na isti na in, pa se telo mo~e zameniti materijalnom ta kom</span></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style='mso-list:Ignore'>-<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><![endif]><span dir=LTR>Za odreivanje polo~aja tela (materijalne ta ke) kod pravolinijskog kretanja dovoljna je jedna koordinatna osa, pravac te ose imaju i vektori brzine i ubrzanja.</span></p> <p class=MsoNormal style='margin-left:18.0pt;text-align:justify'><o:p>&nbsp;</o:p></p> <p class=MsoNormal style='margin-left:18.0pt;text-align:justify'><u>Ravnomerno pravolinijsko kretanje<o:p></o:p></u></p> <p class=MsoNormal style='margin-left:36.0pt;text-align:justify;text-indent: -18.0pt;mso-list:l0