The time for one cycle of a periodic pr e 4 49v)uh1qohq1bzu,jcvl8hocess is called the

  For a periodic process, thz gzr bw+n7(: q5go.qne number of cycles per unit time is called the

  For vibrational motion, the maximum displacezk lb-4pz, y/1andsu7xh;hz 9ment from the equilibrium point is called t 9zz47ayl bhnzs -u1p/d hkx,;he

  A mass on a spring undergoes SHM. When the mass is :ka;: 3yvmqt* sgnd *hat its maximum displacement from equilibrium, its instantaneous sk:h:mgvydt;n**3q a velocity

  A mass on a spring undergoes SHM. When the mass passes p2v;c0p ozc vj (/xqh1through the equilibrium position, its instant/2 jqh vcc( p;pv1ozx0aneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum di20ma bb6cw :utsplacement from equilibrium, its instantaneou wt6bbc0u:ma 2s acceleration

  A mass is attached to a vertic+4iapi- )r1vo,mn .d*nthjz+m + kkkeal spring and bobs up and down between points A and B. Where is the mass located when its kinetntmark4zj kd-.h kp+*1e + ),+v mnioiic energy is a minimum?

  A mass is attached to a vertical spr8 egpfg(a dwtkak7g ;5i of-vj: 1ap+9ing and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maximumvoa fd9p7-+a1w jkge8i: f 5agp;g(tk ?

  A mass is attached to a vylv7q4l b,.t vertical spring and bobs up and down between points A and B. Whellqt4v,y. v7b re is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pcc ku,f106tise/ wg(doints A and B. Where is the mass located when its potengd (c/u kw0ef,1sct6itial energy is a maximum?

  Doubling only the ampli6usxz 0:u ,4hkux*sdetude of a vibrating mass-and-spring system produces what effe x4d,suxus:u 0eh6kz*ct on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-5h x)5tn;pym. 2 iybaqhj s4*tand-spring system produces what effect on the system's mechj2n;a.bh*)tiy ym 5xhq5p4t s anical energy?

  Doubling only the spring constant of a vibratinybhc 7nhq;n+5 g mass-and-spring system produces what effect on c+ h;nh75 nbqythe system's mechanical energy?

  A mass oscillates on t5k xh+z.n: imuh1nl /yhe end of a spring, both on Earth and on the Moon. Where is the period x1.yu 5n:l+mhzknh /i the greatest?

  Increasing the spring constant k of a mas:m m xjw /::qcps7jjsd2u3r1ys-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the 7 qdjjmxyu r3ms2 scw/:j:1:psystem's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of changehmkvye0i.27jp7 - j l9uphc2s in the resonanyl jp7 ju2km92h chi7 sv.e-0pt frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of ha 5mzr9/q h6j.bf,zpa mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes iah5pz9r6 b,h zfqjm/. n 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 mass M attached to a w i(hf ox+b6d,z zm1,wieightless string of length L. For this system, when undergoing small oscilm6b fzwdi,1(io z h+x,lations

  When the mass of a simple pendulum is tripled, the time required for one i5kd u2qvq9 2.s,4 yz3up8t1wehusujcomplete vibrationtisku4hjw u 5u1e yzqpu 8.2 qdv92,s3

  Both pendulum A and B a4q psj9 9f/tv+lv5.fo 1mphagt6jr+ u re 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is t tt av6p .9h5/fju9vs +1oj+pm fr4glqhe period of B?

  When the length of a simple pendulum hbcx:v -k2u;gfz7 xi u93t4mqis tripled, the time for one complete vibration increases by a factor:;93-2fg7h4xkvubxit qmu c z of

  What happens to a simple pendulum's frequency if both its length a;e2.1.czjh glq qsni ,nd mass are increascig.q ,. j ;q2enlz1hsed?

  Simple pendulum A swings back and forth at twick3r+nnpr(c/arz n t5x0y*ye8e the frequency of simple pendulum B. Which statement is co(y /5ecyx *r08nazp3ntr r+nkrrect?

  If you take a given pendulum to the Moon, whed)t v*/d1-/ yzkz3t pq0blwcere the acceleration of gravity is lesswdt c* /3t y)dzvz1kl/0bpeq- than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 5ohygs wf s97g+x.f/w represents

  Curve B in Fig. 11-1 represennqoop8 ;c57 atci:7zpts

  Curve C in Fig. 11-1 r.(o yc*akike 7epresents

  For a forced vibration, the amplith os96cm2p0b wude of vibration is found to depend on the

  In a wave, the maximum displacemenso, m h3p3hz (l q(,zxo3hg5nut of points of the wave from equilibrium is called the waveuo(zo hm,g,l 5x( 3 qzhh3ns3p's

  The distance between successive crests onaqmj )dk9 gyxbql5 0.: a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the wave'mhy+ e) j t:x 5-il.ou:g1gauks uayox1 i+j tu5.gmlh g):k:e-

  For a wave, the frequency times the wavelength is the wave'ue/z)juk 4-+ eb qyslrt-7 hm f1yfd*-s

  The frequency of a wave increases. What happegoq(y,k4- tdksos+-t ; 5qq lcns to the distance between successive crestsl q-45 ,dqoyk-tcskqog+t(s; if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on t, jg2pj8xn* dche same string has wavelength 2l and travelcj g,8n*2jxpds 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 tension T. Aas /jvosa:qr(7scua 6+o- d8 b standing wave is set uvrdbsoa- 8qu/aa +ssoc:(7 j6p. Which of the following is true?

  A string of mass m and length L is under tension T. gwp;1ck5e)oct jj 6o28t s3 yot1kff+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 string is increkg6 t1 wtj;okscf)t 1oef p2+cy853j oased to 2m, with no change in length?

  A string of mass m and length L is under tens,kq;9n-s,:1v if ttk b-ffqcaion T. The speed of a wave in the string is v. What will be the speed fs:,t-- 9fcq 1tibkqn;v ,fkaof 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 tension T. The speed of a wave in ther.:;u*c z5j w x.jaipiik+h 3a string is v. What will be the speed of a wave ii. z aci5 jk:.ph3r ;jxuw*+ain the string if the tension is increased to 2T?

  In seismology, the S wave is a trann o0n2yx /+one7 5k;hbl p6iu e+trv*dsverse wave. As an S wave travels through the Earth, n5+touehxdp+6l o*0;k 7enivr/ny2b the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave tr .1hb-7kdlz-y((nxvod j .ndu avels through the Earth, the relative motion between the P wave and the particles isxznob(. vn7y(kd--djhl 1 ud.

  The intensity of a wa50tnz el1qq g2ve is

  A wave pulse traveling to the right along kbm7w7;he e:e9hv u0g a thin cord reaches a discontinuity whe;gbu7k:e70e h9hm vw ere the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive a))2rp 5ovsi- ipouy2d,gq 1zou vvb)5mplitudes 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 of space atqz5 d2i1)p ro)vi 2gv,y)us p- ovob5u the same time

  Two wave pulses pass each other on a string. The one traveling toward the ruy+)yd d s(404hmmra jight has a positive amplitude, while the one traveling toward the left has an equal amplitude 0+r)yjdmdsuy h 4m4(ain the negative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both ends, occurc. rdb sba+v.mrb -.k)s when

  If one doubles the tension in a h)cbt)o9 ju2s violin string, the fundamental frequency of that stringbc h92ot))u js will increase by a factor of

  What is the spring constant of a spring that stretches 2.00bj, r 3rfwvq+al(;e 6h znmt., cm when a mass of 0.600 kg is suspendedzf( vmarr qw,b.;l3hte+jn 6 , from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, friexr1o4yln3 ;j1o ru 2xctionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let ro rjl1ox341yxn2u;ego. 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 horizoq(lricdj hu;.e 8 *5ndntal, 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 sleq( i5 djr8n hcud.*; to go back to its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 605r2kxbsrsp + .tiy98: ffbn:y 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 tts ffxnb kyrpi:b.852y9 s+r: o 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 compl4 rpawve iki5 yv5l0bt) k6,+rete oscillations in 5.0 s.)w ltry+evi5 k ,brkiv5p 4a60 What is the period?

  A mass vibrates back and forth from the free end of-eyb* q5)xs*uu *mo hnt.umofk .p ..f 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 i-)..oh bqkpt.nuf*s*omyf.mue5 x*us 0.30 m from its equilibrium position?

  A 0.50-kg mass is atsvxm0.y1l-g vbdwm xdf 1; )3ltached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The ob m3xf0lvyd g;s lm)v1 .d1-xwbject oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J ay4d.t1va u*sqr x*nv/o* c,j at this time. The mass is cut in half, and the system is again set in avns/qx * d1**ctuvr ,.yo4jamotion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a8px*-tnaat) h: oe.tx spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in)atxx8 tph* to-a. n:e simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20ns / 3szl,nvb,j wy4c2fl7/ 0mn*b yda N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motiov/sy sjwfzb/n,d,* 0 my7ba3lnn24lcn 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 spr9 y92v3 ntr+n/wgpyjuing constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What ip2ngytn9 rw/9+ u3 yvjs the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring consta0jhs *qbc07oa(zy .1au 1rq:h5 dbr eynt 50 N/m ajaq10:*ydq0 h5 se71bh.a(ocyr uz brnd set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forteb0cj8xcg1mfn-ew 8 2*vkw w(h from the free end of an ideal spring of spring constant vnw- b jg8x(ww0k8 f12ec*mec 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-a+uqaxxwvrj1h-453f a(zb .l w nd-spring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. x1 zjav+q3w- f lrahxu(w.4b 5What 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 spring constanh q*uf uk,w+a0t 10 N/m. The object is displaced bh*a,u0 +w ufqky
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attachv8/eohdqa+u)w a e g.ig ,z6)zed to a spring of spring constant 10 N/m. The object is di.zvzwgahd/ ,oq i)g6 ue+e)8a splaced 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, displaz dd7h-ia(y6ta+q5 y )c9enseced slightly from its equilibrium position,enc a9+d( -yats)dh75yie q6z and released. What is the frequency of its vibration?

  A mass is attached to a spring /vjsy/4x 0blo+sa6.we3ur ag. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mas v/s3r0jyauswl+x ae 6/b.go4 s?

  Two masses, A and B, are attached to different sphei* 2m5xf 46nb,znwdi +wg8trings. 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. How does the maximum speed of A compare to the n 58tiwfh *6g2,xd4bzweni+mmaximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium9gp;und8 ;sae 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. ne8s d;p a;g9u Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the va hp 7fk4 jba7 (/qsrml0p.o;mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released arfl7vm; kp.jps a4h/ 7( bqo0from rest. Calculate the total energy of the system.

  A 0.30-kg mass is sus.j alu+cl)1nd jkd k;7pended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an d 7l .jkk 1cjluan+d;)additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following pop9ly45yeyu4p sition versus time equation:4ypyy5 94elu p
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time equi4-m. xhz0ia uati h-az.0xim4u ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position gv 0 )sehk*sjg63v:rx versus time equation:jg3)hvsx0* vekgs :r 6
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to t(m px-)0haig phe free end of a spring executes simple harmonic motion accor-gp ) a0(xiphmding 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 constant of 20.0 N fe*6i cr10plv/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (* v1pfcli6 e0rThat 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 8.0n :mian m2t,3m s. (a) What are its frequency and peri3m,2ainmmn:t od on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Ear+haugisth 66) th?

  A pendulum has a period of 2.0 s on Earth. What is itzmz e;+vvjkizq-:jg/+ 3*kv(ld.vpne8 uid0s length?

  The pendulum of a grandfather clock is 1.0 m long. What is itsmcfm a9zk;- ic (n0,el period on the Earthelfn 9m(c,;kmz- ia 0c?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Mo0o 2nzotwo x4,on where the acceleration due to gravity is o 0t4ozx o2,wnonly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-km6 ;keuffg h7xsi- co9d5x0j+g spherical mass attached to a massless string. When the mass is displaced slightly from its equilibm cx5; dg6xoefh7fk0+-9uj s irium 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 hx4d;b1ljh n . oiwdx,2as initial angular displacement of l4j21wbd; dx. xhn,oi 8.0e. It oscillates 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 waveng-*v/ha:jwe xw*ce2 at a given time. The frequency of the wave is 120 Hz. What is the ampli:ae h2 vxw/jceg *n*w-tude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frepz3kuv.90 hb-wj t0fgquency of the wave is 120 Hz. What is hvw pkj90 -t.zub 3fg0the wavelength?

  Figure 11-2 is a "snapshot" of a w/b03) +r7tkpjz t3 hqiw1ujhjave at a given time. The frequency of the wave is 120 Hz. What is the wave sp)b3h3jitjk+0 jqrp hzt7 w/1ueed?

  What is the frequencyo 94o9 v ck(kt.4x,dtlpjcyf3 of a wave which has a period of 6.00 ms?

  What is the period of a wave with z/svdgr8n* )hm- gq .ga frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 1960htm y;dx fe2 Hz and a wavelength of 3.0 emxt y96 fhd;0m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequency;w 02 12rcg6w hhzffhr of 126z1 g2fw hhrchfr0 w;2 Hz?

  What is the frequencyin;zfr*dqf zbw8 7v- r,i a,yjao+)-: -pvdhd of a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 9(xl m/mnvai)w4 luw40hrjo2 kg/m is under a tension of 1350 N. What is the wave speed wvw4 4hl29l0xn m(a/m) rjuio?

  A string of linear density 6.0 g/m is unde8u.d:7 bbn: yhqr9 jmtr a tension of 180 N. What is the velocity of propagation of transverse wavbd9:r.jhq7u m n 8by:tes along the string?

A wave whose wavelength is 0.5m lu2hq 8unw lzjk43n:0juo)/00 m is traveling down a 500 m long wire whose total34lul :h08 wm 2nn/)qkojzuju 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 v 6. fc/+ c61khdvabrka 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonfkrhk.6a1 + vcv6c /dbant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one z/4p/8cijtnx p+uxgft ;7v5fof the following frequencies /fvzjxtcu g4p+87 tpxnf5i/;can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standingm4z rvbb72)ji8s dth;zu/l.s ji; uj6 wave driven at a frequency of 480 Hz. What driving frequency will set up a st 2;bmhj.;bj78i/s4vz )jul tusdz r6ianding wave with five equal segments?

  A string, fixed at both ends, urvku n a/,rz;yt/p*4 q4 tbp+erb-*d vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency qpyu; btkd+/4nv*uerrrb a ,*4/-t zpis 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 20 N.oyr*r/q9nxr joj92 +g What should its length be if its fundamental resonance frequency i 9rq2*j gnr9yor/jox+s 220 Hz?

  Find the first three harmonics of a 7d(w jq25j6rfn5 nii istring of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0ni5fiid2( wnq5rjj 6 7 N.

A string of length 2.5 m is fixed at b g7)wb9zi ivr7n, 1vnnoth ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops i7rnv1z)i i79 gb,vnnws 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.