10 Oscillations Tutorial

in w hich it is a nuisance . 5 1 1 D escribe two exam ples of resonance, o n e in w hich this phenom enon is useful and the other features of your graphs. varies w ith driving frequency for very light, m o derate and heavy dam ping . E xplain the S ketch a set of graphs, tising the sam e axes, to show how the am plitude of forced oscillation5 10 5 9 W hat do you understand by forced oscillations and resonance? suspension system im portant? 5 8 G ive one practical exam ple of a lightly dam ped oscillation. W hy is critica©¥ dam ping in a car the vibration itse©¥f? fńction©¥ess surface. W hat is the frequency of the energy variation as com pared w ith that of harm onic m otion of a m ass attached to a horizonta©¥ spring . A ssum e the m ass is m oving on a D escribe the variation in betw een kinetic and potential energy w ith tim e during sim p©¥e disp©¥acem ent. D raw graphs to show how the velocity and acceleration of the osci©¥lator in 5 4 vary w ith tim e of the osci©¥©¥ator in 5 4 . D raw graphs to show the changes in displacem ent, v e locity and acceleration w ith respect to equilibrium position. H ow do you express its ve©¥ocity and acce©¥eration In term e of tim e? W rite dow n a solution for a sim ple harm onic oscillator w hich start8 ©©ta m otion from the uefine spie harmon motjon. S late the defining equallon of sim p©¥e harm onic m otion, E xpress the period T ©¥n term s of frequency f and angular frequency a) . angu©¥ar frequency of a slm p©¥e harm onic m otion? W r©¥at do you understand by the term s displacem ent, a m p©¥ilude, period, frequency arxl m « C heck Q uest©¥one = ©¥ - ʨ¤S a$ W . » = W = TTT uttt , ' +++ , " Y r S A P H Y S ©¥C S D E P A R T M E N T R A F F LE S ©¥N S T ©¥TU T ©¥O N

J82/I u9 E 4 00 rad z a 2 - Z D 100 rad ' a J90/©¥/1 1 ; N 9 5/©¥/9 any of 1 , 2 , 3 , 4 and 5 either 2 or 4 ' ' ' P . W B either 1 or 5 D A 3 C num ber of hits? fixed aim in order to score the g reatest A t w hich reg ion should the player take a m otion. from side to side w ith sim ple harm onic gun in a fixed direction, a n d the target m oves random tim es. T he p©¥ayer has to point the a m oving target. T he gun fires by itse©¥f at In a fairground shooting gam e, a gun fires atS P 3 J85/08 ; J9 2/©¥lg E total energy am plitude angu©¥ar frequency D force total energy am plitude C angu©¥ar frequency acceleration force B am plitude angular frequency acceleration A acceleration force tota©¥ energy undam ped sim p©¥e harm onic m otion? ©¥n which of the fo©¥©¥ow ©¥ng lists are a©¥l three quantities constant w hen a partic©¥e m oves inS P 2 C 4 . 0 rada 5 4 B 1 . 0 rad a B Q A 0 . 25 rad a ©¥ a (N ote : ve©¥ocity ¡¤ Ŕi, a c c e ©¥eration - * ) position. W hat is the constant a, ' 7 X is the displacem ent from the ¨¤uilibrium ' A ￠ w ¡¤ ' " " " " " " " h - subsequent m o©¥ion is * . - 1 u 2 x , w here x and is then released. T he equation of the D Q (0 . 0 5 m ) towards Q by