The time for one cycle of a periodiur;19g efc ut5beyo* +c process is called the

  For a periodic process, the number of cycles per unit timstczt1:0 ,vxhe is called the

  For vibrational motion, the maximum displacement from the e7y n. pel)mds .:km7khwyji 59quilibrium point is calle dys. .emykw:5ljnkph7)m 97i d the

  A mass on a spring undergoes SHM. When the mass is atauz6 l/f) b2uls/pqe; its maximum displacement from equilibrium, itsp a/26e /sb;z l)uulqf instantaneous velocity

  A mass on a spring undergoes SHM. When the mass pasxe1ipe yydciw*h1,go2 *h 1+yses through the equilibrium posiydehip+c 1y1 e1yoh2 x*g i,w*tion, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is a0qxp.w 4 rd0qj6 owco(t maximum displacement from equilibrium, its instant.rq0joc0x6ow pq(dw 4 aneous acceleration

  A mass is attached to a vertical spring and bobs up and down beta(w aw u( +xvvungb2pe :1;:7/xuvm wxween points A and B. Where is the mass located when its kinetic wpb(wa/u+x uvaxn21:v; x e:wv 7 gm(uenergy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betweem- vjp8:n*yh v4ea(bv ;goi;qn points A and B. Where is the mass located when q;*ep miv8bv(4 ;-jyghvao n:its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and dv ;4gp ub( a6+s9ra.,gdnvrmv own between points A and B. Where is the mass located when its potential energy is a mi46;ap9gur( d r+ vs,vvgamb. nnimum?

  A mass is attached to a n9.hxm:5it1 j30odwncr5bs jvertical spring and bobs up and down between points A and B. Where is the mass located nj1wxh bjd.s0 m oit9rc:553nwhen its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring sl g-o+ug-vcg9qr) c(oka s):qystem produces what effect on the system's mechanical enrc (koa+-)9us gog -qvl:)q cgergy?

  Doubling only the mass of a vibrating mass-andg(+3tbbxvu i;ka u9 lkk hj)/4-spring system produces what effect on the system's mechanical enebg4bk 3j/tkih;kl+() u9vuxargy?

  Doubling only the spring constant a8ln9c7nnm zmq:4rfo,-4, t 7zenrcs of a vibrating mass-and-spring system produces what r4 :n9a,loem8stc -n7,qzmnc 7 fn4rz effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Wh9lcxx/.zfcyq 3h0 vs:y7ci1dere is the 3f.ycxqic0l1y:7szd9 hvx/ cperiod the greatest?

  Increasing the spring constant k of a mass-and-spring w5oyw lu0j*,)tajc0r system causes what kind of change in0 cw0roaj*5 u)w lyjt, the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind owbtbtw+j58oh6 d +*aud7v u,o f change in the resonant frequency of the system? (Assume no change in the dtd*u5 b b8woa+ ,h7vj6+uowtsystem's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of changu kgq i;z*,*cje in the resonant frequenc,* gci*u; zkjqy of the system? (Assume 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 mass M attached to a weightles, 4i.vj p6cr4q0uyaiak* rf6qx+e x:is string of length L. For this system, when undergoing r.qy*,0af:4xk ie4rvxpcj q i+u66ia small oscillations

  When the mass of a simple +:8do po ye,y 9eky4kcj,g2 ft/ /fgvopendulum is tripled, the time required for one complete vibrationgfo kke8fvepd y:y o9/g 2t4+, y/j,co

  Both pendulum A and B are 3.0 m long. The period of A4 xzsvfv0t8(:q b 2qgx is T. Pendulum A is twice as heavy as pendulum B. What i4bqxs vqzv0fx(28g:t s the period of B?

  When the length of a simple pendulum is tripled, the time for one completet mzw)6d3j +ro/zt-g i vibration incr dz-tio/)w 3zgr+6m jteases by a factor of

  What happens to a simple pendulum's frequency if both its length and mass are vdr aaan 9.1wb/mj/b.n/oe+o incr/./o/dbav+9n 1.e arbojw maneased?

  Simple pendulum A swings back and forth at twice the frequency of simpl:06n/vdsm ccf e pendulum B. Which stat f:cv6ndm/s0 cement is correct?

  If you take a given pendulum to the Moon, where the acceleration of ,rrpmmg4 bk7j 16w.fs gravity is less than on Earth, the re1wp4r kfjg7mb6 r,s.msonant frequency of the pendulum will

  Curve A in Fig. 11-1 represents 6. 8upnqpw95pcjq v2x

  Curve B in Fig. 11-1 represe6sc2 tup z*7xqnts

  Curve C in Fig. 11-1 reprh r+5l u q* oz(ztmtgh*8b2oi3esents

  For a forced vibration, the amplitude of tg73+urgnro) vibration is found to depend on the

  In a wave, the maximum displac 1k*m akdkj .im( 6fb;g8susa3ement of points of the wave from equilibrium is calag k aif*mksjbd; us(8 .m16k3led the wave's

  The distance between successive crests on a wave f iskcqii*9493nwr 2dib c.1h is called the wave's

  The number of crests of a wavb:wx:ie9.k 5x(h sr mue passing a point per unit time is called the wave's9i sk:wex( bx h:rmu.5

  For a wave, the frequency times the q/vvmdh3 9. / waf5 gqeme()qvwavelength is the wave's

  The frequency of a wave increases. What happens to the distance betwee+6n5(y()srbi h y9mgyh zndl/n successive crests if s(ynlyyb)/ znmr+hd(6hg9i5 the speed remains constant?

  A wave moves on a string with wa19y nq7h bvi* 1z6eycpb2ei)i velength l and frequency f. A second wave on the same string has n96qi2 *ehb p1b1iceyy)7vziwavelength 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 tension T. tz+hxl8/,dw uc9mf;e ;owvdm 1cq8c8A standing wave is set up. Whi h,wx mzl8;+vc98e;1t/udfcmw8 co q dch of the following is true?

  A string of mass m any iw54.;0gtdnr ajg vewd 954kd length 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 string iwaywdj05.gnek4gv9d 4ir;t 5s 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 inhai6v 2;cs +ze the string is v. What wil; 2s6czeai +hvl 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 tension T. The spe7fqj f:xb +8t,kp 2jlked of a wave in the string is v. What will be the speed of a wave in thef:+jp7bf tlq82xk, k j string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave cs-g a)s z/0lxql9ap- travels through the Earth, the relative motion lx-spg0zs)ac-q/ l 9abetween the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travelsz d5zjk,rmd,93r go.t through the Earth, the relative motion betwee,dj.r ozd5r ,mkz9t3g n the P wave and the particles is

  The intensity of a wavb2 n, b ,u;ux(ll.hsite is

  A wave pulse traveling to the right along a thin cord reache* ag/pml:eav )p k:ip4s a discontinuity where the rope becomes thicker and heavier. What is the orientaik) pv p:p4aleam *:g/tion of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes p;q .q9t+rzuzgh ko s6z46c2 guass each other on a string, one is traveling toward the right and the other toward the left. At the point that they ocq6;ur46k2hq gsoz u +z t.9zgccupy the same region of space at the same time

  Two wave pulses pass eacyrqrwp5gb.2i 60 lb+l, 8lbduh other on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the poibb6+llbdwr2.pr , g 5u ly80qint that they occupy the same region of space at the same time

  Resonance in a system, such asnrausi96*z 1et 9zwc( a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, tebo olfdxi2(54c 77d xhe fundamental frequency of that string will increase 75 coo( 2xdd 4ifxlb7eby a factor of

  What is the spring constant of a spring that stretcd5fdne2q(fa0 hes 2.00 cm when a mass of 0.600 kg is su0f 5(aeqndd2 fspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, 33:(dnzugzny puk-o7 o8 (z pufriczzzdu3gp8un:k - (opnu3o7 (ytionless 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 amplitude?

  A mass is attached to a spring of spring a mah-, zfeg77z:+znkw58r es constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force 7f7a5z eezmg-s:kh8r+ n,wa z 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 of spring constant 60 N/d7nlnl,d.6 be w2)quc x(fjp3m along a horizontal, frictionless surface. Tn ( pwj,u3.b7d 2l)xd6fclqn ehe 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 frequency of oscillation?

  A mass on a spring undergoes SHM. It goes thr45 e rp.ikxjlxnp2f *te1/:anough 10 complete oscillations in 5.0 s. What f5p1xrk.en2n iaj /le4t:*xp is the period?

  A mass vibrates back c5.j*u htuo hvs0 ,t0sxq8e(fand forth from the free 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 v.*0u(5jh0stu hsc fexoqt8, mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring conib8s dgyfau6qr a4 0.,stant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic4 8r dq0ibu ,sf.y6aag 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 rgpc8hi*98uull- v f;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 cm. What9*hlf 8r uupvil;- gc8 is the energy of the system now?

  A 0.50-kg mass is attach2prxmp1cb x0ls:upr4i5+j) i ed to 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 the ampli+pb1ripx 4spx:2 )l miucj0r 5tude of vibration?

  A 0.50-kg mass is attached to a qw0 00gt;m rpospring of spring constant 20 N/m along a horizontal, frictionless surface. The object o0m;tw 0q0grp oscillates 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 co8rsycaa)4dex0kotk7)k6 jq ,h l;ef ;nstant 50 N/m and ly407sak;;)eh f,xkkqdt j8 raoec 6)set into simple 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 a horizontal spring of spring conxv. bw fuo 3*r:e:i4xdstant 50 N/mew :*d4fio3:x uvbr.x and 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 forth from the free end ofy5i 5mhw;rq93;tj / k hedzg+h an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximu9 5;k jq rmi/+;h53ty hzdghewm kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displacvrkyf) 3rqgw8f814 x ked 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 r8rgwk1xk38 yv)ff4 q released?

  A 4.0-kg object is attached to a spring of spring constant 4lzgxd6cry 2,10 N/m. The object isxrdl6zg 2c,y 4 displaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attacheo-.gdu kp1p fo +p90e.jrc cd2d to a spring of spring constant 10 N/m. The object is displa o01p +f j-pdpoeccdk.u2.9rg ced 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 o izt( 9*9ekofz2qouzc:+ 5askf spring constant 18 N/m, displaced slightly from its equilibrium position, and released. W(zo9auz5c +otq:2*ks i zfk9ehat is the frequency of its vibration?

  A mass is attached to a spring. It oscillat. vl2wr7mtge)fz8 pn 2 8jrlu8es 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 ne.rg 8 2vr8l87mutfp lwzj2)s?

  Two masses, A and B, are attachex qcdiz*m1wm + hok68(d to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitum6+8d* c( qzkmiw ox1hde 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 suspended on a spring. In equilibrium t;chfi:nzq3k,3oy) a phe 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 pecany 3p f)qh3:ok;iz, riod of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass w 2bqkub +usk2 +iau9+stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm doa u2i2+wqkuk 9s+b+bu wn and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equi76 guti0fho lq3b suo6wjf.en0ytz 9zoj5(00librium 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 of motio00 byhnsjuq0off.t(9wz ig7 3e 506ooz ujl6tn.

  An object in simple harmonic motion obeys the follow cn:r6tq(1jbh( oby )it:ezmst+1/ sr o0z+g jing position versus time equatiohr/ zcstz6te :nb1o)q(r m+1 j0sj(t+bg i:y on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus timetfb 4noty9;w j ;b-6jx equation:49x;n jf b tt6w-joby;
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the follow8;k0cpn u.zamu k:wi 4ing position versus time equz u8pnuikc: .a;w4 0mkation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring e 1f( 7w*q asmbpfoo7p3rpo k9621fkmm xecutes simple harmonic motion according to the equati2p* 1fof mmpp77br m1(6kq9 sofo aw3kon $y = 0.50 \; \sin (18\pi \times t)$ 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/m oscilozs(8l;z c;dv lates on a horizontal, frictionless track. At t= 0, the m;(zv;codz ls8ass 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./vwig m h*rbi a1b*e- vvzdv(*)r(v+a (a) What are its frequency and period on Ea(i+v1 h**)mb- b vr/zgv* wdeav(irvarth?

  A 3.00-kg pendulum is 28.84 m long. Wh(yd 6it-fit)rom* gy- ky c.p3at is its period on Earth?

  A pendulum has a perio*s6z,qkmm*ti u iv0(u+oida6d of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is it+w8d)q mryrqdy(g 52cs period on the Earth?)r (r+gy wq dcm825dqy

  The pendulum of a grandfather clock is 1.0 m long. What is its pf y2w,wac55xn eriod on the Moon where the acceler,5 c25nyw wafxation due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spheri3w o3sy mws5u.uvda ,*fdq8s8cal 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 if3uom8 ,sq ww f*usd358.vs ayd a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a e fgfjyd4.kft81048tbiyz. k 20-g mass has initial angular displacement of zft.8y84bf e4ky.0tk1f idg j8.0e. 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 wave at a given time. The frequency of the all 11*l bjkv i .po 0yg1pqb(6(:kffcwave is 120 ly*qfk0p1l :( 6c1oljvab gpi(1f b.k Hz. What is the amplitude?

  Figure 11-2 is a "snapshzn6lcxvxvqn2q9w 3(+z+lm7t ot" of a wave at a given time. The frequency of the wave+cv6 +tlw nnvmx7 zzxlq( 23q9 is 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given tiykky:jh 31z)::76 sy w hv ipx0ihi5wume. The frequency of the wave is 120 Hz. What is the wave speypy6h:0khj)ix5vyzw 1:ih sw37i: kued?

  What is the frequency of a wave which has a per,/pro 4 v9i1vqqgqi va-m).xxiod of 6.00 ms?

  What is the period of a wave w 9o g3 nj9hxcgr4+c0joith a frequency of 1500 Hz?

  What is the wave speed p/c46h3 +n4uqm0+gzz n8brtge8w pb aif a wave has a frequency of 12 Hz and a wavelength of 3./pmnquz c4g 63+zp gnbr48a t8+whbe00 m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequency omjr q9m x(u95j2/dl3c-hzpv;kqn c5k f r/ ;zhm(9nc 2qj 9lmud-55v xkcjp 3kq12 Hz?

  What is the frequency of a 2.5 m wakf3cej7ly g3qh2: p+ nve traveling at 1400 m/s?

  A piano string of linear -i m*sxga,/obmass density 0.0050 kg/m is under a tension of 1350 N. What ixm- ga* /,bioss the wave speed?

  A string of linear density 6.0 g/m is under )v,tmw0(zxdb b 9csgw+vu,t5 a tension of 180 N. What is the velocity of propagation of transverse wave9b tb(gw ,scmwu v0)d+zx,5vt s along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m 9sy j uir7a3r.6ndz 6glong wire whose totj6r is6zdyrgua 7n9.3al 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 string sdx7gxzuvl64s 45 es 5hufy: r, 6v0vjfixed at both ends is 200 m/ e7uvhd5r6l456 jx0uv:z s g yssx,v4fs. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental freyhuea : jrj.2,quency of 500 Hz, which one of the following frequencies can set the string inte,hy 2:ja.uj ro resonant vibration?

  A stretched string is observed to have four equal segments in a standingg ;d/;l1vqcj a3:dghq wave driven at a frequency of 480d;:ldgv ca 1qhg/q ;j3 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency ofp yx:o1 c:yb tf/a,v8a 12 Hz with a standing transverse wave pattern containing 3 loops. What frpav:foyabc ty,/8: x1equency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a 3ybrm;:qox;suw4wz - tension of 20 N. What should its lengt:;w3 rm;y o-4qxs zwubh be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a on. i .h82sjn peppesf91 y*5hstring of linear mass density 2.00 g/m and length 0.600 m we5jsf p.i* 1on y8h9 h2spe.nphen it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both e n0ob/8fnbl .re3: qozos1 f+hj9kx q(nds. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is forme0 zb o1rf/n39noxbk lq fe.o+sq:(8jhd.
(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.