The time for one cycle of a perijv;zrgb4g a 3;odic process is called the

  For a periodic process, the number of cycles per unit time is called t ysqevf9djrt t ;fi 04v.f-68xhe

  For vibrational motion, the maximum displacement from the equo+3j00zpu3ag a hk u1uilibrium point is calleh p+ aga301jk0 uzouu3d the

  A mass on a spring undergoes SHM. When tpn,/zbb1n ir t8xl:+j he mass is at its maximum displacement from eq/pr,i bj nntl+xzb:81 uilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equil; s m02pi,pj+6ux hw n7b(gjqtibrium position, its instantaneous velocbhj7p02(w t, sjpx6;ugqmn i+ity

  A mass on a spring undergoes SHM. When the mass is atk1: :-ypilh ps maximum displacement from equilibrium, its instantaneous acce:-:k1plh piys leration

  A mass is attached to a vertg 32v,jvpam.npz,9sx ical spring and bobs up and down between points A and B. Where is the mass loca. psvn32z pg ,vm,jx9ated when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A anf*5 uea-p: grud B. Where is the mass located when its kinetic energy i- pu*u5era g:fs a maximum?

  A mass is attached to, 1w;/efn*touei iyg-mc2 0w s a vertical spring and bobs up and down between points A and B. Where is the mass located when its potential i *mfu2e1 w,wstc/oegin y-;0energy is a minimum?

  A mass is attached to a vertical spring and bobs up and x+c +-jtcmq/ep53s zq down between points A and B. Where is the mass located t3cep5- qcx/+qj+zsm when its potential energy is a maximum?

  Doubling only the amplitude of a ch w9gbj31sxqa 6(+zn vibrating mass-and-spring system produces what effect on the h(cbj+a6zsgn9 q3 1wxsystem's mechanical energy?

  Doubling only the mass of a vibrating mass-and ;p9aqh pb/hs-:z,rc r-spring system produces what effect on the system-;h/9h brcppza q r,:s's mechanical energy?

  Doubling only the spring constant of a vib3lm;58en rlj9ckvcdzn**4 t prating mass-and-spring system produces what effect on the system's mechac**led8 jtnvk9 z3;lc r4n5mpnical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Wheok kclt71a;x :ud/8 uxre is the period the gre1kux7o/ tk8:clx;a duatest?

  Increasing the spring constaox dr7zo)b+v0; /aconnt k of a mass-and-spring system causes what kind of change in the reson)o/oabr7cnx;dv+ o z0ant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-an6y jhfh sdr k2ubi)s1qz;382vd-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring constant qbhj2)fh 1u 2izrsdvk;s683 y k.)

  Increasing the amplitude of a mass-and-spring system causes what kind;85 +qq s8tfwzo4ugdez0*vk-gha-zg of change in the resonant frequency of the system? (Assum0+ g t szzzu5gka*gd8wh8oq- ;-qe 4fve no other changes in the system.)

  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 consists of a massd1b9zygtb; ts,1xq* p M attached to a weightless string of length L. For this system, when undergoing small oscillatibptyqzg;b1, 1 xt d9*sons

  When the mass of a simple pendulum is tripled, the time required m8bve : 94)t9gvgeh+2qj1wmp rqo /r sfor one complete vi4 / +em ebh)1rvsgovjt 2rw 9qq9g8m:pbration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A iiznjq /75ycm. s twice as heaj5i7c.z nmqy /vy as pendulum B. What is the period of B?

  When the length of a simpleyf-f2tl8-e r(cci on3 pendulum is tripled, the time for one complete vibration increases by a factor ofc 8yn ofl2-(tecfi-3r

  What happens to a simple pendulum's frequency if both its leng52n jfbh hbt:)pcc;4eth and mass are increased?5 :te2fb4)pbh ;jnhc c

  Simple pendulum A swings back and forth u:v*p b c8e:u2 vj1)hjf vp6vqat twice the frequency of simple pendulum B. Which sqvvh u: v)c8vf:up2*j6bje1ptatement is correct?

  If you take a given pendulum to the Moon, where the af5k 32ic1p jzfht a9;kcceleration of gravity is less than on Earth, thjk95i3p1f;a2 kchz tf e resonant frequency of the pendulum will

  Curve A in Fig. 11-1 r /mc4vxl6w fo9epresents

  Curve B in Fig. 11-1 represen4uwwqt5i j*bk e(,hj:ts

  Curve C in Fig. 11-1 reprembzn*x,(7g +ka7qqcg*i c ,hrsents

  For a forced vibration, the amplitudejdr b*zagd(9*tpm4 1t of vibration is found to depend on the

  In a wave, the maximum displacemepj962phyn7*a fu plo;nt of points of the wave from equilibrium is called the wave's2n;7pp 9 *p falhj6you

  The distance between successive crests on a wal law)xbhd+,8 urqe o0pn/l t/g cb7g,f5gs4;ve is called the wave's

  The number of crests of a wave passing a poinxn678smma; ldc4k;vx mm 4ay 2t per unit time is called the wave'smmm x 4lsac am x;4;6n72d8kyv

  For a wave, the frequency times the wavelength is the wruztii.c aa;k *hz zp)6ik 53v +-44lly5gh nzave's

  The frequency of a wave increases. What happens to the d.;x/s )poja o( ad8huiistance between successivepaoda8(sh /;.j xo i)u crests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second waj 45sb5q)ss eeve on the same string has wavelength 2l and travels with the same velocity. What is the frequency o )qe45s ebsj5sf the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T*z7t-ql/lvw i(qf) ux. A standing wave is set up. Wh)tx/* fwu v7 i-ql(lzqich of the following is true?

  A string of mass m and leng vfzp1 z1grf3n; ;;sz/mnxe.lth 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;. /pzg1 3;vnnsf mz1elz r;xf string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of a wave in. uv sykxei.3 wwjj4rxp t((.13zd(yx the string is v. What will be the speed of awtu(dkxyi. 3pe zj . svx1 r3(x(y4.wj wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wave inin*fvmn) yye.ir9n63 the string is v. What will be the speed of a wave in the string if the tension is increased .9 nn*e) i yfi6nrmv3yto 2T?

  In seismology, the S wave is a j;:x,qm.ttdy transverse wave. As an S wave travels through the Earth, the relative moti, qdt;ytxm :.jon between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travewe9w:4zzb/ (n sj1h (v,geub g,.gqedls through the Earth, the relative motion between the P wajs4(eg:e d,,u(qg zg/bnvebwz9 w 1.hve and the particles is

  The intensity of a waver6v1zb -c3kpf is

  A wave pulse traveling to the right along a thin cord reaches a dura r7lr.ef5aj b;6 s+sea1 l4um-ha-iscontinuity where the rope becomes thicker-+s -h67;af 4.urajau 1mars5rbllee and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each othe4m x,(v 0tdhhmr on a string, one is traveling toward the right and the other toward ttxm4,dv mh (h0he 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 towarn di dykorby6 v(3)6x/d the right has a positive 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 sp6y/k) rd3o iby( 6dnvxace at the same time

  Resonance in a system, 60yo-v beld+ rsuch as a string fixed at both ends, occurs when

  If one doubles the tension in a violin strm(m lu5q *lkim8f3h h4ing, the fundamental frequency of that stringm38u(m54lq himl*h k f will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm jua3ujps:hdo m jtl;83p(v,s+ 3yt 2qwhen a mass of 0.600 kg is susp +:ts;q3l3 , dhp8uj2pvu3m( jasjytoended from it?

  A mass is attached to a spring of spring constantn5jrtjw45u 6z8thb11mji / hv 60 N/m along a horizontal, frictionless surface. The springrjmnt4/ j h5 1vztb1iu85jh6w 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 amplitude?

  A mass is attached to a spring, u ,i5o6;mclgi :zka; eem1hg 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 and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the period of oscillatio ;z:eik5m 1ou,h6aile ,;cm ggn?

  A mass is attached to a springhq zi-plwpa:l rt 78:6 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 and let go. It takes the mass 0.50 s to go back to its equilibrium position when i:p :h 6qr7wlz 8atlp-it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillation0jzf,36f.;y8mkquy y il4mrg s in 5.0 s. 8q r ;my jyy03uf,zklm if.64gWhat is the period?

  A mass vibrates back and forth from the free end of an ideal spw*o y1+m- pshhring of spring constant 20 N/m with an amplitude of 0.30 m. W*ymw-hsp+ h 1ohat is the kinetic energy of this vibrating mass 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 along a horizo.wnday 64dgq3rb8 jta 3o+0n tntal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. Whatbad 4na8to63rw0y+n3d.tqjg is the total energy of the system?

  A mass undergoes SHM with ampldl, 8j7g76nef h:uvig() 4 . dbympcvpitude of 4 cm. The energy is 8.0 J at this time. Thf64mvbih l7d jy:v8 )dg7 egn( pcup.,e mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/mcz53x bhx)n 01de uj6z along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium)1e 3 u5jcxh6zb xzdn0 position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constantt;rd+* 6sic,p 7onedq 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. At what location ards;+n*p6dt7c ,ro eq ie 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 t : 8+oikf-f:6tl2jb qf7dy9j 9qef ojconstant 50 N/m and set into simpl:flo9b68f to if7j:q t+-jqfdyk9j2 e e harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of 7dhnni) ,0+vbtgr*f)j.vx:pyytt 5r) w, ct ja horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanig*rt),.yh),rcdjtv7w fyti : b5)0vj+n n p xtcal energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of sjw(k xpw+)u6o /sqp(rpring constant 20.0 N/m with an ampli/+jp6xu spo( )qw(wkrtude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-a*p1 :iodo 6e.kzubqr 5nd-spring 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 rqpz5bi.e:urko *o61 d eleased?

  A 4.0-kg object is attached to a spring of spring cwaf -emsqy2 6.onstant 10 N/m. The object is displaced 6am yswe.2-qf 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)vmp- 0o 0dsklp.c, wo spring of spring constant 10 N/m. The object is displv -0sw,lmpo0 .okd c)paced 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 spring of spring constant 18 N/m, displaced+85y*rezx)uj9lmip*/7zd 5b2yo*d gng hm op slightly from its equilibrium position, and releanodmp)gg p luzy9j+e b*i m *zo7y/5r*2 xh85dsed. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz when di4 16zrfh iiby48dkp0msplaced a distance of 2.0 cm from equilibrium and released. What is the maximum velpi mfhkzi618r04 d4 byocity attained by the mass?

  Two masses, A and B, arey:9m frrzl43-m2w odq attached to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at a frequency of 16 Hz. Hor:r 9zqd4m3f2o l wym-w 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 mass orv,rp km;r2,kr+r*wzm b +3p stretches the spring 2.0 cm downward. The mass is then ;r r3zmo*+ppr brw +vk,2k r,mpulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mr 7)x 7c;vwgtrass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the tv r7 )r;wxtcg7otal energy of the system.

  A 0.30-kg mass is suspended on a spring. In equili3 o.nh5e ozpb4rpf8ni:r5g5 obrium the mass stretches the spring 2.0 cm downward. The mass is4ofzh.g 5nepr5 op 35ri n:b8o then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmoni)bj; :j -ke-iixm sz9jc motion obeys the following position versus time equation:ie-jb;k -j: z9im jx)s
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position ver d,;s.d;dkxy msus time equationy,mk ddsd.; ;x:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time s irulxk; l5hr7x 2fnw9(7x9eequationiu7kn; w 5rx9(7 flx9hlsr e2x:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple o .9 2j(jmvchoharmonic motion accordin.oj 2cvjh9m(og to the equation $y = 0.50 \; \sin (18\pi \times t)$ 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 consta18sa6o 0 louwcnt of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is,1 sluowc8ao0 6 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 swij-8a fb6m o8v9:gcggsngs in 8.0 s. (a) What are its frequency and period on Earf8 ogmv:g9sb6g -ca8j th?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Eartm( +je n7r5ajth?

  A pendulum has a period of 2.0 s on Earth. What lhl 2 ro,u8f;iis its length?

  The pendulum of a grandfathe em ltg7 574aqdp9lr.cz( msd1r clock is 1.0 m long. What is its period on the Earth?m7z5dle71g lq. msa( d4p 9ctr

  The pendulum of a grandfather clock is 1.0 m long. What 1erm*yw5i -dh is its period on the Moowrym-ih1 d e*5n where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a njkp5yp39li 9z*- j2ci rkdt50.25-kg spherical mass attached to a massless string. When the mass is displaced slightly 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 attac9 9jktz5pi2c ypjl-3n r*ik5 dhed to the string instead?

A simple pendulum consisting of a 20-g mass has initial ang(g*lsh kdhb50 ular displacement of 8.0e. It oscil hgkh(*0sld5b lates 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 given time. The frequency of the wav, ljv:oh4lvw/)*t7fx. bph uv e is 120h:vo7vlvtw*bhlj)x p/4f, u. Hz. What is the amplitude?

  Figure 11-2 is a "snapshot1h( srzfkkl0o:/wy/j.tn7b j" of a wave at a given time. The frequency of the wave is 120 Hz. Wh (wrj lf1bt:hkz0ko s.n/7yj/at is the wavelength?

  Figure 11-2 is a "snapshot" of a wave an6 285gdwbc b14xgu bxt a given time. The frequency of the wave is 120 Hz. What is the wave s b2g1cx 6ngw4xdb85 bupeed?

  What is the frequency of a wave which h79qe+lc oi:it as a period of 6.00 ms?

  What is the period of a wave with a fre k (i;,zm(mmfuquency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength o i5,l kb qj-*4hzze+vpf 3.0 q,j-i z4klzp*ev5h+ bm?

  What is the velocity of a wap kx3:8ye,4 vte w9 oer+t1gsq9 *komlve that has a wavelength of 3.0 m and a frequency of8p:t*91 g,l+mytex9 qos rov kke 34we 12 Hz?

  What is the frequency of a 2.5 m wo q4r9x-nq1 pjave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 13ozdr. 3mx -vt650 N. What is the wa3-6 oxvtmdzr.ve speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. Wh t7owqiyds c:;.2 zv)lat is the velocity of propagation of transverse waves 2sv) :i.ywdzlq;7tcoalong the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m longe,2v-zcce es 6 wire whose total mass i6e svce2ez -c,s
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 slqe,-6gt38ry f qlvc.tring fixed at both ends is 200 m/s. Which one of the following is not a resonant frequencqgce f-, 63ryq8.l lvty of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the follck8z; sdi ;; 8by3g,bsnw4 vwgowing frequencies can set the string into reso38s ,s k;;8y4zb gncivwbgdw;nant vibration?

  A stretched string is obseeilcxp bc41 0; o0ey-g*6s cpnrved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set upos- ci0ny6;e b 1cp* p40egxlc a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a xg71 l-ggoi91( vbw0)hbnqci standing transverse 9(oi7lqg-)1 w cv0ibn xg1bhg wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 80 +s5 ftzkz3fyo0n97zxdf yf:)gjue 20 N. What should its length be if its fundamental resonance frequenzy)+gf08zt fd3 fu7 n5x 9jze0so:kfycy is 220 Hz?

  Find the first three halp p398 (j s2ubvjdx nr3cme(9rmonics of a string of linear mass density 2.00 g/m and length 0.600 m whenmn 8dsx929j3l (p(epjcr b 3uv it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the strl1j /zxdv2 pedgja 887f71f yhing vibrates at a frequency of 85 Hz, a standing wave wijj1d271e gyf apzx l7/f8dvh 8th 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.