The time for one cycle of al06d77fc*sd 1xaqf na ftxj 6uo/0sob:.e5 kl periodic process is called the

  For a periodic process, the number of cyclev2hdf;(j .khufl g7+o s per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium-jrqn(b ch yz ea) oqb;1l-66d point is calle nq(c jl6y-orbad6q-h;ebz)1d the

  A mass on a spring undergoes SHM. When the mass is at its maximum displjlt;d ;1gi8 bvacement from equilibrium,b1;tjvig dl8; its instantaneous velocity

  A mass on a spring und7j eky.oiv 2wym9/ uo:ergoes SHM. When the mass passes through the equilibrium ieykyjoo: w2/9. mvu7 position, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is(o.3va * rg2gtyn+4cdr qn ha; at maximum displacement from equilibrium, its instantaneous ;+v(tahy* r3nnrg odcq24ag. acceleration

  A mass is attached to a verti3m0 /rzw3v (tefx iu3dcal spring and bobs up and down between points A and B. Where is the mass located when its k/r3xdf 3u(iv mz3w 0teinetic energy is a minimum?

  A mass is attached to a vertik gr ;ed0uny2:cal spring and bobs up and down between points A and B. Wherr y ukn;d:02gee is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between mjd 8 9hwj/(fbpoints A and B. Where is the mass located when its potential energy /9h (m8bfwd jjis a minimum?

  A mass is attached to0 5ow+wu5hg1sz5oi sp a vertical spring and bobs up and down between points A and B. Where is the mass located when it+5guw5 1ho 5szoswi0p s potential energy is a maximum?

  Doubling only the amplitude of a vib4ju 4)nhs hw4oe28pgnrating mass-and-spring system produces what effect on the system's mechanih)js4pw h gu24onen84cal energy?

  Doubling only the mass of a vibrating mass-and-spring 7v4 9b7 ab+ bfp)vrj lhd(cen2system produces what effect on the system's mechanical energbrae2v+blc b jdp)7h4 9fvn(7y?

  Doubling only the spring constant of a vibrating mass-anw u amuo,uekxwkvv85*9*c (-td-spring system produces oxuu *cv,8v 9uk-k metw*5aw (what effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earthihywk66s onf1w2. amradg4 9 4 and on the Moon. Where is the period yomw6d g 149fas24rw 6nkh.i athe greatest?

  Increasing the spring constant k-q ;u y;n gb/lk 30+fs2onsn7c,gfjsv of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no chang0cks7nn nb+u,jy;3s fg -lg /2;s vqfoe in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change in 3t,v5d.xbkn6+q syzl7w9a ad the resonant frequency of the system? (Assume no ch9awyqd.btz 3k7a sn , xv5+ld6ange in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of ch sgz*9*t(lequ lkud+8;3h emoange in the resonant frequency of the system? (Assume no other changue(d oelt+ ulk;qs 3gh*mz* 98es 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 consis2d5r few8t0r 4c v g+gb21alegts of a mass M attached to a weightless string of length L. For this l5rfg 4r e80w2gg+ avt2 be1dcsystem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required 3.rzs+ym 1hv cfor one complete vibrationc.z 3+ysrv1hm

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulumr3 jd n qg4my*ck-(chsjr89v9 A is twice as heavy *4sv rhj-(km9 jcc8rdgy39 qn as pendulum B. What is the period of B?

  When the length of a simple pendulum is triplem*(-vb lfxgzcg 85ix6 *otyk;d, the time for one complete vibration increases by a xoxi 8mfg(*k*;bg- v ctlz65yfactor of

  What happens to a simple pendulum's frequency if both its lengthrs0dmtotg* h8 p3 )bd2 and mass are increase d8t3shgm2brt*) od 0pd?

  Simple pendulum A swings back *mehco7b+fy 2 1sb* rbw7 js-aand forth at twice the frequency of simple pendulum B. Whirwcfo se7* j7 b-bbayhm1*+2 sch statement is correct?

  If you take a given pendulum to th,jle ju.q2(wq e Moon, where the acceleration of gravity is less than on Earth, the resonant frequen jqw,qu( elj2.cy of the pendulum will

  Curve A in Fig. 11-1 represenpxg ma.yciqu/5 6c*n .ts

  Curve B in Fig. 11-1 re24( ;ydjfs d3wusuhk6yrc), y presents

  Curve C in Fig. 11-1 reprecv n. -+rhoern)vpu75sents

  For a forced vibration, the amplitudeu,hpf6qi/hy )bz s 3g8+gw8wr of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave z( hc.0ld:wsf from equilibrium is called the sh zw0:.cfl(d wave's

  The distance between successive crestscn4obzv0b v3l .b39 lh 5y2xdm on a wave is called the wave's

  The number of crests of a wave passing a point per unit t 7urb1u feb9ccb j *;d2s5a58 eait)vwime is called the wave'dvajtb* 5e;ub uac7)9 bew8cf 2s5i r1s

  For a wave, the frequency timex h34 a7sf,.p fo k8xmt0.ordgs the wavelength is the wave's

  The frequency of a wave increases. What happens toh8(gu nw*l e--7fbwyq the distance between successive crests if the s* qfyww7n8- lhge (u-bpeed remains constant?

  A wave moves on a stri-. y+q*bt f;pnxr .eobng with wavelength l and frequency f. A second wave on the same string has wavelnby p*tr.+ f;oqxe .-bength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a str cudwc5p;)u(ea i,b y5ing of length L, mass M, and tension T. A standing wave is set up. Which of the fowi d5uc ( a,)p5;bceyullowing is true?

  A string of mass m and length L is under tension T. The speed of a g-y,zi) q 6gc41cu sxvwave in the string is v. What will be the speed of a wave6zygcxu-) c,4s qvig1 in the string if the mass of the 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 i1v) o;ktk7b bot+g7 pxa ip521zl9rtvn the string is v. kbpv2g7r9ao57t1kzx+)p1 b t itl;ovWhat will be the speed of a 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 tensilka,h/ g/c5d gj,e 0 goz.6whton T. The speed of a wave in the string is v. What will be the speed of a wave in the 5lo.,gkcjwg/tdgh,0/ zae 6h string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an Sr p83:2n*t kq(ubdjis k0w)ff wave travels through the*)s2(wdff:kniq 8jp0u r3kbt Earth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudnttj,blfl 46d x-81.;8 oh* u lsh4q qulutbk;inal wave. As a P wave travels through thq; *djfhst86uob 4xtl, 8 ;.ul-q1lhlnk tb4ue Earth, the relative motion between the P wave and the particles is

  The intensity of a waghhxgpg7 9afqf 5* m h3hxf,i-//rp57 iy2ws bve is

  A wave pulse traveling to the right a3j 2,lxw *h(xf:2gd.exgd;w o adi p(llong a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted px e3(g .dowxx ;l2 apdi,*2jl(wdfg :hulses?

  Two wave pulses with equal p0 wx:7xy. ma c a33-o8vq/iuzrp.cxhy ositive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region o 3o:vw -aqz0h .3ua 8xyx/ypc.7i rxmcf space at the same time

  Two wave pulses pass each other on a string. The one trav ) *t 9d1lwcs 4gvn.tkj8tvp*+ejpgn (eling toward 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 .( j+ s8t*njgk )v1vpctgl9w *edp n4tthey occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both ends, ocjisf4( *14c ltni8be ;ked+ es8xvt(qcurs when

  If one doubles the tension in a violin string, the fundamental frequency of8z( ,ynt9ks *ljod/ro thatytjro*o/zk sld 8(9 ,n string will increase by a factor of

  What is the spring constant of l8icg6m q7p r)1z(abma spring that stretches 2.00 cm when a mass of 0.600 kg i b rg (maqml)pzc1768is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizld 4-j4prj 8ilontal, 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 rpljld4i -4j8the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, x przb b gy.j+4mb(fv5 ;-prqo/,cp 3gfrictionless s jo ,(mgp-5p b4/bvybf+.rzc;pq x3rgurface. 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 oscillation?

  A mass is attached to a spring obh aao(nu2: yyo1,t+8 b tgaq5f 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 itno oyuah5g+ qtbat1ba 2,8 :y(s equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM.9uihdwtv x0i6vdn-l-y5i a -uiv+/4w r z+fn6 It goes through 10 complete oscillations in 5.0 s. What i unz0+w-y wf -h9nd4 di/u vi56a-i+v itl6xvrs the period?

  A mass vibrates back and forth from the fre72b+ynsphy+ 1l ov0 nle end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m py17 nll+ h0s+ovb2 ynfrom its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring consiklr+.;e:73 eaf yhu ltant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speedhl+ rlyfe3;7i. au:e k of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with:va hef ep)d2),fk m*,gboaq+ amplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 2 g,hmq ,o)+bek a*af:)fepd vcm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring coxrk i9dkv3t+knrj w1 6+qey(7nstant 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 x rn9y7k +t1vkw(3i q j6dek+ris the amplitude of vibration?

  A 0.50-kg mass is attco :t/qlpsn )4ached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in si 4 t:no/)spqclmple 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 spriq; f5m*ll 3fkmng of spring constant 50 N/m and set into simple harmonic motion with an amplit mfq *;53mlflkude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal :gkiispsz* b1a ;mbh j-2u*o5spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude1:jiz; bos2m*abk-p u s ihg5* of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the+ h1raj1v z;fy free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 mjvazr1y h;+ 1f. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-a np,jokb* 5a)nnd-spring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observedpo5 kbn,j )a*n. What frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spriydvpek -. :)l6nram7fng constant 10 N/m. The object is dispv7:a)rl nfekmdy-p 6.laced 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 s*frnn-a t qp(k(c l1n,pring of spring constant 10 N/m. The object is displaced byrncq- *ak(1fp ln (tn,
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 sligh** y*pzg9e )bhmjs +ehtly from its equilibrium position, and released. Wgh*b +j *mh*)y9esp ezhat is the frequency of its vibration?

  A mass is attached to a spring. It.afqlqnq 7o82 oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and rlqo nfqa 2q87.eleased. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates wfv *g;ykzs1oucf 23w0ith amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitwgf*vu013; cozk2y sfude of 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 suspedkvj:1rgzm r n ,lwt/j (k:-)u ja7(zcnded 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. Calculate the period of oscillau(ljj7v d,/ crn- 1rm:gtzk(zwak):jtion.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass st-kt6w1qb i-i ;/ xvgl2lu,v jyretches 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 total energy of the syste/gqt j6-l-;w xv,yl i1k2vbium.

  A 0.30-kg mass is susp,.inf:w7b6n 2a8,ceu77spvnjh lg mtended 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 releaseu 27 :e8f v6njgh,a,n7bc.wstimnlp7d from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versum8dg 4vu5n mqt00mtma-zw 6 7us time equation:a t mm00n748 u-uzg qm5tvdwm6
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position ver */nfl r bp(3y/hwo)gjsus time equa*f h/ogb /py n(3wrjl)tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus ti6y4v 4fo) pa-hgr xvg(me equa )4vy-fp a hx46(vggortion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end ods+wat4/: mlm12lx*c ;u gbxt f a spring executes simple harmonic motion accordinmt+*lx:/a gwdu;xb stlc41 m2 g 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 sp jy;0y/w- x5jc9le(xwspg/d o ring with a force constant of 20.0 N/m oscillates on a horizontajg;x5d /cwyw0 /px j-9(y osell, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (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) What are its frequency a 30oos(0gfwpl5* n-y.sfw r iwnd perioinss0-wwl( 3ygfo5o*. wr 0pfd on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Eart-b +urgc (;my(itnbz0a 9o(xhh?

  A pendulum has a periodwuqao92e92m 0ohlw v9 of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Eaxb,u:d2i . rq;fivjt 7rth?jfi :.2;,qb 7vdixurt

  The pendulum of a grandfather clock is 1.0 m long. What is its nmd+xxk *t-k l x.f87mt2;vby period on the Moon where the acceleration due to gravity is* dt.x7+;nymx8 f2kblx kmt -v only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attache(4l(1oj grhmtx m )zh2 kprhi:940ltrd to a massless string. When the mass is displaced slight( khltx( ) j442hl0mripot :9 rm1rzhgly 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(i3;y(d/ui lpo8d u+xib2o us has initial angular displacement of 8.0e. It oscillates w xdupou bd i2il/s;uoy3 i+(8(ith 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 pm w)d8 ihf/p4j8f6r 7 txo-enthe wave is 120 Hz. What is the amplitude ewxjn 7dp6f/i4r)o-p88 thfm?

  Figure 11-2 is a "snapshot" of a wave at a given time. The fr h.gwzqc4h moma9rk3)w zf.h/-g7fs6 equency of the wave is 120 Hz. What is the r)o-f.whwgm 6hk /f 7 gazchz9.4sqm 3wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given timvu 8 *;5vzpgx)3jytcye. The frequency of the wave is 120 Hz. What is tztc 3p*u5xy jv) gyv8;he wave speed?

  What is the frequency of a wave which has a period of 6 rl+io 9xtlt/14viea(.00 ms?

  What is the period of a wave wbuqm n+d(b*-p ga,wo9t-:t c s;lfm ji6 p/gp9ith a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength o*n 5pfkr+7ppvn +ho1kugh0 2 of 3.0 m? 7op5*hkv1k o hfprg0 pn+2+nu

  What is the velocity of a wave that has a wavelength of 3.0 m an 46rsixspz;k0 d a frequency of 1rs0k4is6; zx p2 Hz?

  What is the frequency of a 2.,vgk2d0sbp n7p67 se u y9fyn+5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension o7pf*3j(bbl7 sth w7h,xa*bko4 e zix( f 1350 N. What is the wave sp4bzx ,7 k sxh7 ap*ithwbo(lf7j3b(*eeed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is ty1z y fiq6a+q.he velocity of propagation of tra1+aqy z .yifq6nsverse waves along the string?

A wave whose wavelength is 0.500 m is travelin ufv4jsrrvl4hmrnm 4+-9 0 l;*icj7f bg down a 500 m long wire whose total mass iv4j +r s94;lhm* 0bjr47mu lnf- rfcvis
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 o0tyo2-3e.i t m3y/k,v5pi idollpqr: n a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is notyeop.y5iq- rlo:itl3/2t ipm3k 0,vd a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of dh..v;08vtthvmggp i ek-:b9the following fmvtkei0:t 89hgbgp h.vd;- v.requencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing waveiqqs0ck t,q (g0:ya4 w driven at a freq 0(iscy0 :qatw g,qk4quency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with b;rxzb cww:fdet :.*e7of44 h a standing transverse wave pattern containifo:.d7:xfe44c* tbwhzr we;b ng 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/mk09y ygd9 0* do zdg9:vol5iud is under a tension of 20 N. What should its length be if its fundamentdi 5 099zy9d*ogvd y:kolu0g dal resonance frequency is 220 Hz?

  Find the first three harmonics of aao86c(a ni9e mpo07e p string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to t(e79 aep8oam06n oicpension of 50.0 N.

A string of length 2.5 m km-gmaxxw9 e )hy1r+g8ho o;, is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops ieag+m ,mh o9yrx -)8khg ;xw1os 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.