Phsics I Fe., 5 oc. ec # Ne..5 g ss is ched o hoizol spig d is eecuig siple hoic oio wih gul eloci o dissec. gie is i ie i is oud o e 8 c o he igh o he equiliiu posiio d oig o he le wih eloci o.5 sec.. Wh is he spig cos? cos The spig cos, ss d gul eloci e eled,osoligohespig. Wh is he ol eeg o he sse? ( (.5 6 Ns The ol eeg o he sse is jus he su o he ieic eeg o he ss d he spig poeil eeg. Tol We use he iiil codiios o he posiio d eloci. Tol (.5 (.5 (6 (.8.688.69.79 joules c. Wh is he iu pliude o oscillio? he poi o iu pliude, ll o he eeg will e i he spig poeil eeg. o wecheuseh Tol Tol d. Wh is he phse gle? (.79..8.8 c 6 We eed o use he equio o posiio d d eloci s ucios o ie. cos ( φ d si ( φ d We ow h, -. while.7 s. o we he h o.8.8 cos φ.5 ( (.8 si φ cos φ.5 si φ.86
The diidig he cosie equio he sie equio we he he φ.866.5.56 φ 57.8 ice oh he cosie d sie es e posiie, his pus he gle i he s qud, so he gle eis φ 57.8
oc. ec # Ne. iiiel log wie o ss pe ui legh.5 g is ude esio o s. osee e o he wie oices 5 pes pss hi i ie o sec oig o he le.. Wh is he we eloci o he wie? Theweelociiseledoheesioihewiedhesspeuileghohewie s T 89. s.5. Wh is he equec o he wes? ice ull ccles (5- oe ps gie poi i secods, he equec is jus c. Wh is he welegh? 7Hz The we speed, equec, d welegh e eled λ λ 89..78 7 d. I he iu displcee is, wh is he equio o he we? The we ucio o we elig o he le is (, cos ( We eed o deeie d. o he we ucio is he d λ 6.8.78.9 6.8 (7.98 (,. cos (.9.98 e. The wie is ow ied wo pois which e seped. ees d he wie eis ude he se esio. Wh is he equec o he hid hoic? Fo we o sig h is iedoheds,hellowedweleghsegie λ ; iege o λ (89. ( (. 67.8 Hz
oc. ec # Ne. You e diig wes o I- sec. You oice se oope elig es sec. The se oope souds his sie equec o Hz. This is pole iolig he Dopple eec. he ppopie equio is l s wih he sig coeio o elociies eig - o he lisee o he souce is posiie.. Wh is he equec h ou he? Hee he eloci o he lisee is posiie d h o he oope is egie sice is eloci is opposie o he sese o posie elociies. o s d he eloci o he lisee is s. We he he 98 7 Hz. The oope psses ou so h he is ow i ou eiew io. Wh is he equec h ou ow he? Now he oope s eloci is posiie d ou eloci, ou eig he lisee, is egie o s d he eloci o he lisee is s. We he he 99. Hz
oc. ec # Ne. o ligh is icide o sl o glss. The o ligh es gle o 55 wih espec o he ol o he suce.. I is oud h he o ligh es gle o 5 wih espec o he ol i he glss. Wh is he ide o ecio o he glss? This pole iolig ell s w si si wih he ediu eig he i d ediu eig he glss. Wh is he speed o ligh i he glss? si55 si 5 si 55 si 5.89..98 The spped o ligh i ediu is educed o h i cuu he co o he ediu. c 8.98.58 8 s c. The o ligh ow ss ou i he glss d heds owds he i-glss oud. Wh is he iu gle he o ligh c e wih espec o he ol eoe ol iel elecio es plce? gle is 9 Now ediu is he glss d ediu is he i. The ciicl gle is whe he ougoig.98 si ci ( si ci.98.56 ci.6 5
Phsics Foul hee iple Hoic Moio cos( K P P T F Tol Tol φ Dopple ec Peiodic Moio, (, ( cos(, ( P e i i e λ ± Wes o ig iege T λ igh φ icide cos Polizio si si si Recio Relecio I I c eleced < lecogeic Wes B c I c B e ε Phsicl Coss g g C e T N C s c p e soud 7 9 7 8.67 9.9.6 8.85 sec ε Useul Geoe Volue e el Volue e uce Cicueece e Clide phee Cicle