The time for one cycle of a periodic projxhs,jqe-qh* xo0y .6cess is called the

  For a periodic process, themas6;5ln *7p 0 fne/nub( etoq number of cycles per unit time is called the

  For vibrational motion, the maximumv*sjj3v,o/ 1:ofqdgt hzp)7r4p h,mm displacement from the equilibrium point is calle hvjjpo)h13msvd/fmtr4 pg,qz * ,:7od the

  A mass on a spring undergoes SHM. When the mass is at its mcdw0v580, ay:.wj i pu 0x f,g8sozpjmaximum displacement from eqj ,pcj u0dwma sgi wo,xz85p:.vyf8 00uilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibriumhl5 f27 vgg5gl poshl 7g fglv25g5ition, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is zrz 3ia8:7f g1 5vlwkoat maximum displacement from equi l 8vf r51g:azk7wzo3ilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and d zjjxwp,a/ 9p kcr3*,nown between points A and B. Where is the mass located when its kinetic energyp*,jjr ,9knzp/ a3 wxc is a minimum?

  A mass is attached to a vertical spri pj(*uru()kt ong and bobs up and down between points A and B. Where is the ma(po *ujk r)(tuss located when its kinetic energy is a maximum?

  A mass is attached to br eyea(1zd32 a vertical spring and bobs up and down between points A and B. Where is the mass located whed3azebre 12y (n its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A gs7v wa8wyh1h 36ne ai-tm7)q anhhq s7 83e)it1n-ywa 76awgvm d B. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a thl1 ft,s3o. qvibrating mass-and-spring system produces what sf1t th .oq3,leffect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring syxft w12/hs zx/stem produces what effect on the system's mec/w1sfx/hx z2t hanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system produ.h1 tw t(/wzfkz 7x4cuces wzh. tx1k4zuc(wf 7 /wthat effect on the system's mechanical energy?

  A mass oscillates on zn3uo(w:8gs)yj . hw tthe end of a spring, both on Earth and on the Moon. Where is .8j ghtzy:s)ow 3uw (nthe period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes w)8) /bn8ipu( qc at5x /olcdbbhat kind of change in the resonant frequency of the system? (Assume no change in the syste cpdi l8utno//c)) a(bbb8 q5xm's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of chqoo9y y f9l+(wange in the resonanq99o floy+y (wt frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system ca6ab rdsmp2: 8suses what kind of change in the resonant frequency of the system? (Assume no other changes in the system86m2pd : bassr.)

  A mass $m$ hanging on a spring has a natural frequency f. If the mass is increased to $4m$, what is the new natural frequency?

  A simple pendulum consispkcf3q yoe/,. ts of a mass M attached to a weightless string of length L. For this system, when undergoing small oscill.qp,fk/cy3 o eations

  When the mass of a simple pendulum is tripled, the time reqi*2fhn4esdx:e s 7 d/tuired for one complete vhsis */d2n4: ex7tefd ibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum 2zkuy 9+z ld9y)pbq0gA is twice as heavy +2)gy zu09bzqlkpd 9y as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, thebhb1tyhlgux.; q +0x; time for one complete vibration increases by a factx .uhgty1bq+0b ;l; hxor of

  What happens to a simple pendulum's frequency if both its length and mass a3gy9 bynj, ns-re increy,yngs 9n-3j based?

  Simple pendulum A swings back and forth at twice the frequency j./::vkh r *td gjdatqa1 t4w/of simple pendulum B. Which statement: atj.tgwqjhd:t*1d/r v/ka4 is correct?

  If you take a given pendulum to the Moo ); jeyl-p vzx,1,ktjyn, where the acceleration of gravity is less than on)zjy jlkx v, 1,p;-ety Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represengyv4 tzp8lrhoz 92 v(.ts

  Curve B in Fig. 11-1 repqqp+w fn11 by; 3b+vwuresents

  Curve C in Fig. 11-1 repres p*3jif16 ygmeaxh3 7yents

  For a forced vibration, the amplitude of vibration is found p *v+by-rmlq-(bu,ux to depend on the

  In a wave, the maximum displacementrh)qjs8y ) csl-.c b-k of points of the wave from equilibrium is called th c by.qr)-jhs cl-sk8)e wave's

  The distance between successive crests on a wave is calledc4sj6:ploo 5ip9 vjf8 the wave's

  The number of crests of a wave passing a point per unit time is calole .6+b a3lzbled the wave's3e+. ablo bl6z

  For a wave, the frequency times the wavelx k;ci0z h9yvm70r (esength is the wave's

  The frequency of a wave increases. What happens to the distance between 7v4qbn4hkj f t)u o)q:*dl j;vsuccessive crests if the speed remains)7joq; 4hu v*bk vq)fnl: 4djt constant?

  A wave moves on a string with wavelength l and frequenc4 zrxmi/wlr7:6ahyda iz8.a: y f. A second wave on the same string ilaa74myzr 6ar:i zx:/8.hwd has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and to tnc0b.1ibw;+q7xrk12g p drension T. A standing wave is set up. Which of the f.qb;i+0 porwxkc n7rt 12d 1gbollowing is true?

  A string of mass m and l3hy:tmj t0 gglt n2lkuuv+b. t8j5.o7k n() plength L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the mass of the stl2hl: bgu(ut+5 p8gt k0mnvl).j kjo7.tt3ynring is increased to 2m, with no change in length?

  A string of mass m and length L isv*vtrdxx ,j59r f5ler qk73u, under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the length iru9rtvv 5k,dl5,ex7x f3q* rj s increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The spelkxjv y3v5q4e0 wdd4 mef**6aed of a wave in the string is v. What 5 *xw 64v3d0ekl qmdye4faj v*will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave ic/du*skmw)6q; bjj *lx* 9qbqs a transverse wave. As an S wave travels through the Earth, the relative motion between the S b6*dw*qkxubc)j 9 mj l;q/s*q wave and the particles is

  In seismology, the P wave is(atyg976 erdwauja0x g5n l5/ a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wa5jr576 9 nud aw/gy(0xlgtae ave and the particles is

  The intensity of a wave. xzho58fge 7h is

  A wave pulse traveling to the right along a thin cord reaches y ,k42 vy/x.q33y9 d hv5uywuog7 ym,xnt ez5xa discontinuity where the rope becomes thicker and heavier. What is the orientation o3ndxu yyhv2y,9u/k.oywxqmzgxv35 ey ,754t f the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass ea +cn 6nfq ,-(j/iseqvech other on a string, one is traveling toward the right aef jn6qve,s(q + /cin-nd the other toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling towary y,,*bco b*j):3ges teuiv(myyzu) tt .1 ;ubd the right has a pogyme;bcy*ztt(u bu )j,oyv si).t3* ,euy1b:sitive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point that they occupy the same region of space at the same time

  Resonance in a syste x k9,nwwt(tup.ld:, y 6nak6om, such as a string fixed at both ends, occurs when

  If one doubles the tensi qxbawzq/ ,m(sy7;l 4jon in a violin string, the fundamental frequency of that string will increase by alqx,zjqa w;y( mb 7/s4 factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mas(y(q, csu h)-jgi- dq p)gm,ycs of 0.600 cym()g,(, q-yd sp)uigcq-hj kg is suspended from it?

  A mass is attached to jie2iolq ue-5d,s 2a4 a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass alij4,ed-u s 5ao2qi2e nd let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizod(o bx(:5ico zntal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the:oobx(d 5 (icz period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along b588 7i ntsdhj(ce w-ha horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. 87-i 8ethw(nb5dhscj It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillatio)/l1 +dxw1.e sp uaqenns in 5.1pxe 1 n+q.leu) awd/s0 s. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spry3 vtl+nmqa2nc:37 bx:k1qbi ing constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating x2b +7: qnkb: nlviq13ca 3tmymass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m al0x e 5h7hazu ;3k8rczuong a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. Wha3zuchh78 uk5;xrae z0t is the total energy of the system?

  A mass undergoes SHM with amplitude of 4-wpm5.d0 cpc wj1 pkx1jan21r cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again seta.0m11pkjdp wn 5w1cc px-r 2j in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached t krdq:u+lh,e w;4l 8* i9wpseyo a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the8s r:4 ekl,*;ehw l+yiup9 wdq amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring cons(h4j:j 5oxx fftant 20 N/m along a horizontal, frictionless surface. The object oscfox 4fj5( :jxhillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring con --q 3aqte8mn- n.opsgh9 gk)sstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical e n aqe p9h- g)tqn.3g8m-so-ksnergy of this system?

  A 2.0-kg mass is attached to the end of a horizontaes c2p+burd g7)ow+2al spring of spring constant 50 N/m and set into simple harmonic motion with an ampld sua 7 r+)2b+cweopg2itude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and f/r0fs*sg8sc /n+bcwm s: cx:forth from the free end of an ideal spring of spring constant 20.0 N/m wcs8/ff g+r:x :swbns*s mcc0/ith an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-s9 5,iajui sm df/5oztk.dx31d3,g7 v-q qxasmpring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cm and then 1sd3a9ait-5vmxq /xgfmd7.is uozd3, 5,qkjreleased?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. x) fqd( 5k7;frt0xvgtg6/dd aThe object is dispav5/gd(0q;r k gdtft )7dfxx6laced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached to a spring of spring consta :+4lz6suo vojnt 10 N/m. The object is displj4uvo+lz6 :osaced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung from a top ik64*xbux7o 5 vg sbk,g0*spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibrationkvb460s *x 7bugktg o*px5 io,?

  A mass is attached thv a -d uhqbv290*ia43fr-gnko a spring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and releasedhr vq09vahkn-g*fd42 -u ba3i. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to differe0r +brhnvxkh 1i 14)pdnt springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude oh 0kixvprh1bn1)d r4+f 5.0 cm at a frequency of 16 Hz. How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mf5vf 2mr 0mj-3))ksdo cef6heass stretches the spring 2.0 cm d s6ev3rj 0f25-cme)kdf)h omfownward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suskqcrv*ufgiumbo .q2 4g4n185pended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 g 4q42 i f 8n.5uo*kvru1gbmqccm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspeng-gv8hc;am ptd; k m.p(ik(,l ded on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation o((h8.i; d cmpglmpkg,k-at v;f motion.

  An object in simple harmonic mok(k tc, pusy)( x9j:gction obeys the following position versus time equatioku xjs)p9t c(g:ck ,(yn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following p) ycei8r:m;wc u+ d;joosition versus time equat+ido8ce) yw mru c;;:jion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the folxjv:l08ftqv 3s nny 8;7miel2y4d1 welowing position versus time equ4 83xwei7n28qlm;dltv :eyn1jy0 f vsation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic mopa3ge gg9w3/ ution according to the equatiowagp3e/3gg u 9n $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring with a force constant of 20.0xjxe47t aiuh eq-ra13z s( :q; N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. r 3z;:xaqhxj 7-e1qti a4u(se(That is, the spring is stretched by 10.00 cm.)
(a) Determine the frequency of the oscillations.
(b) Determine the maximum speed of the mass. Where does the maximum speed occur?
(c) Determine the maximum acceleration of the mass. Where does the maximum acceleration occur?
(d) Determine the total energy of the oscillating system.
(e) Express the displacement as a function of time.

  A pendulum makes 12 complete swings in 8.0 s. (a) Whatx s7fy+ nk5p7-+txmte are its frequency and period on Eartt+ -k e77txfnxp5m+s yh?

  A 3.00-kg pendulum is 28.84 m long. What is its period on 4,w v(pxvq 1klEarth?

  A pendulum has a period of 2.0 s on Earth. Wha,tu7x,udve-6gkjz mlf f9g)/ t is its length?

  The pendulum of a grandfather clock is 1.0 m long.j3fv-qi *3ql z What is its period on the Earth?i 3f-zl3j*qv q

  The pendulum of a grandfather clock is 1.0 m long. Whvxioi izv34(7l/h p xf9gnu; 1at is its period on the Moon where the acceleration due to 4u9ii;x1n3h/fi x7lzovvg (p gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massli(otf ve--wa9:ik tnvfvw -q5,1-wq fess string. When the mass is displaced sq-q-ai,v5v9wfewvff: 1t(n wk ti- o- lightly from its equilibrium position and released, the pendulum swings back and forth with a frequency of 2.0 Hz. What frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displazyyvqc,7l p*r o:l l+5cement of 8.0e. It osy+*oc rlylq: z7p,5vl cillates with a period of 3.00 s.
(a) Determine the length of the pendulum.
(b) Does the period of the pendulum depend on the initial angular displacement?
(c) Does the period of the pendulum depend on the mass of the pendulum?
(d) Does the period of the pendulum depend on the length of the pendulum?
(e) Does the period of the pendulum depend on the acceleration due to gravity?

  Figure 11-2 is a "snapshot" of a wave at a giae:)qi9kw,b3sd g 2r zven time. The frequency of the wav sz ba:,drwqek932ig)e is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenj2 n+m)jqpzy lu- 7wc:cy of the wave is 12 ynj2-) pj7wu zm+:lcq0 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wa p 9 3,sdvt-nlu/9swf/ yzk2)prd)xaeve at a given time. The frequency of the wavndt/w/3y )s pev9 xrpl u9ka,fz-2ds) e is 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00 ms?1rq9 cn+d2p7nlk8ni z

  What is the period of a wave with a frequency(g3 e,qfzmz. gqf +xl9gsm6 j926gcp q of 1500 Hz?

  What is the wave speed if a wave has1pz)z+2avv dh9a8i hca,+bj o l0 +pjv a frequency of 12 Hz and a wavelength of 3.0 mhb)acpa+vlv+z 0pi 2ajj8+91ohvz ,d?

  What is the velocity djff n3esz 6s.;o ny;,of a wave that has a wavelength of 3.0 m and a frequency of 12 Hz?f y6 3o,fedn jsz.;;ns

  What is the frequency of a 2.5 m wave traveling.c 4t2iki.wn r at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is e;0b2f4v ,peb 5*j5w ctwjis mdx3d+bunder a tension of 1350 N. e5 wb3 b; st*v2jwpxic5j e0mdf4b,+d What is the wave speed?

  A string of linear density 6.0 g/m is under a tensiozha1 a0tn)8:rx d:hkj n of 180 N. What is the velocity of propagation of trans:hhjz :0a1 8nrtadxk) verse waves along the string?

A wave whose wavelength is 0.500 m is traveli k zzge5n.41p) whq1ying down a 500 m long wire whose totz 41)zyepnwg1hik 5q .al mass is
25.0 kg. The wire is under a tension of 2000 N.
(a) Determine the velocity of the wave on the wire.
(b) Determine the frequency of this wave.

  The velocity of propagation of a transverse wave on a 2.0-m long stringnx2- d7wylg18ym)+vxjdf z 4 j fixed at both ends is 200 m/s. Which one of the following is not a resonant zjf+v2m1d l-4gx7wxny) jyd 8frequency of this string?

  If a guitar string has a fundamental fre /rlxsl 9wp:l(cn l4sqzyv, 13quency of 500 Hz, which one of the following frequenci4x1 wvlrc:psy l3qznl ls/9,(es can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a s2w2ajf4sp q 0xbp k:j)i6m dk/tanding wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five eqk:kwd pp20ji6fjm/ sqb 2ax4 )ual segments?

  A string, fixed at both ends, vit1ltd2l9 p -v+s17wmte1ifvz brates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave patte+ s7f1- p9 v z1iemtl1wvtl2dtrn is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension o k hoxhp*:zx7ytun/+:2 bsv1af 20 N. What should its length be if its fundamental resonance frn ut+/ hpxk::b1axo2h* vyzs7 equency is 220 Hz?

  Find the first three harmonics of a string of linear mad, iv ot5+pcz n:u4d8sss density 2.00 g/m and length 0.600 m when it is subjected toz :u5nvcs8o i+dp4 dt, tension of 50.0 N.

A string of length 2.5 m is fixed at b 56 blnllxdq 2-4np3 dpf6r)mtoth ends. When the string vibrates at a frequ66dp-ftxr2 q)5l 4bd3llmn npency of 85 Hz, a standing wave with five loops is formed.
(a) Determine the distance between two adjacent nodes.
(b) Determine the wavelength of the waves that travel on the string.
(c) Determine the velocity of waves.
(d) Determine the fundamental frequency of this string.