The time for one cycle ofaxf:m -so1gymz k7 o9* a periodic process is called the

  For a periodic process, the number of cycle d+ 67pgtv9irfb3ai h(s per unit time is called the

  For vibrational motion, the maximum dispow h3 ofskpwn01i3( 3jlacement from the equilibrium point is calle3w 0p(3i nhfskjwo 1o3d the

  A mass on a spring undergo8x)9kq pgkci7z, ux3des SHM. When the mass is at its maximum displacement fromkg zcx xkdup3q)i78 9, equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passem764ta ry. ff au ch7 ob:4bflbvi200ts through the equilibrium position, its iob40ru tfb:.0cbh76 ifmt4v2ay f 7lanstantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displap/ey 84g39/ e2d. sqjowpl 3(opxtjqacement from equilibrium, its instantaneous accelerationtpxd/e/qpolywa 3e9p4 o83 qg(2. jsj

  A mass is attached to, * fcpouuu vahv s1); :e5z)d*yg6ocm a vertical spring and bobs up and down between points A and B.a zvvo,go *5)hu1m;d cpcy: ueu)s6*f Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points 24zpe6ybiz1x A and B. Wheryx41zbi ep62 ze is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spri;e6vj6 4 b0lef:9xeis+chh ip ng and bobs up and down between points A and Bihee ;h6p jcf6v9b :i4ex0s+l. Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs 3c9wt k85ndlmrs 1l8dup and down between points A and B. Where is the mass located whe k swllct9385dr1d nm8n its potential energy is a maximum?

  Doubling only the ampl 0+nsiio lry36itude of a vibrating mass-and-spring system produces what effect0o+i3y lnrs6i on the system's mechanical energy?

  Doubling only the mass of a vibrating masft bcaof6k: ji:0b8bfc5)w-w3 a6keo s-and-spring system produces what effect ow3b8 ow:b6ecb) f6:tfka a 0ci -jk5ofn the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring sysq1tc c1)bt.-ab)z3xy xe)ird tem produces what effect on the system'qc3exi1 bdtc1 - xyat)rz.)b )s mechanical energy?

  A mass oscillates on the v 86 -oko50fzu*xzlp v)nbw.mend of a spring, both on Earth and on the Moon. Where is the period the greatexvnmz kzl0p6.w)*v-f ob58oust?

  Increasing the spring constant k of a mass-and-spring system cauvf ,rl 3zh0m+fses what kind of change in the resonant frequency of the system? (Assume no change in the h,v3flfr0 zm +system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of pfft5 .,b t7ohlzl 80nchange in thoz8nfbpfth0,7 tl. l 5e resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-ano.h(m1cf lkn bg9bhh6e an,,9d-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes in the system.bh6, m( gof 19lanne 9b.,hhck)

  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 co- bf(8x cp70w:7by2btjvhzj lnsists of a mass M attached to a weightless string of length L. For this sysbwtlf7 2bbyh 8 -z0(:7xj cpvjtem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one complet fz:- 7aygdm k1k.zpj8e -kz :dj yfpga1 z8.km7vibration

  Both pendulum A and rsq8h ovh: - iko4:/duB are 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is hv4/k os d-:8qiu:orhthe period of B?

  When the length of a simple pendulum is tripled, the time for one compj/mi 3 nr1lsf)4 o;vnflete vibration increases by a oj13s /r;v4n )lnfifmfactor of

  What happens to a simple pendulum's frequency if both its length and mass are inb(bcwwkv+k(fy i g1:)vc)b:k (+bw wfyi1 kg(creased?

  Simple pendulum A swings back and forth ati1eo;w s 7 4osn*3smhh twice the frequency of simple pendulum B. Which statemnh3*im o;ws1s4ohes7 ent is correct?

  If you take a given pendulum to the Mo4nx zthu+v)g0 ) :m o0,igg n gl/ie.2atdqm(von, where the acceleration of gravity is less than on Earth, the resonant frequency of the pe) /ggqm :g h0otz4nia2d0 ).l+v xiv, gt(nuemndulum will

  Curve A in Fig. 11-1 representsoxm.c9vm/l td:ru 7 u+ vs:gn:

  Curve B in Fig. 11-1 represeym god7u9mxq 70v *a/qnts

  Curve C in Fig. 11-1 ) ce4d 1mwkpm+represents

  For a forced vibration, the amplitude of vibration is found to depend on thr+ ,i06dmwryvwb1yv:ehe co 61hrq m6;8; m rse

  In a wave, the maximum displacement of points of the wave fckqv/a t dzjo 372-j9hrom equilibrium is called t kdvjc 7t3q- zha9/o2jhe wave's

  The distance between succe*ou5z9:dz r ydofyb(o- g:ln;ssive crests on a wave is called the wave's

  The number of crests of a wave passing a point per+:1r7r cezy12rrhrir unit time is called the wave'cr 1hr71 + e2rrzr:yris

  For a wave, the frequency ti mxjw85 ptiku96 )y/oumes the wavelength is the wave's

  The frequency of a wave increases. What happens to the distancef3q hb 3k *j0se4deznn+(2rp i between successive crests if tiee4r n *nbfj2 zsq30phd+(k3 he speed remains constant?

  A wave moves on a string with wavelength l and :h7 1ek0yog xo k4a0zpk;znj6frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?z n1k0e z70o: gp4xay;oh6jk k

  Consider a traveling wave 1k:m+3 zumtx in- gis8on a string of length L, mass M, and tension T. A standing wave is set up. Which of the followi -mn3 kz: xt+8sgimi1ung is true?

  A string of mass m and lengj z oux57b0c.mth L is under tension T. The speed of a wave in the string is v. What will be the speed of a wavezujx. b7o 5mc0 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 tensionnwkawag x(2uwd oj5i3rfs9yz*9 -4*t T. The speed of a wave in the string is v. What willnw urk (-jwf*tizaw *odx y4as293 g59 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.r6sfra b.c-(bu0)f al The speed of a wave in the string is v. What will be the speed of a wave in the string if thbf)6u-c sa . b0rr(lafe tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As 6 0o,vdr)4lobs9 cs 7*aojx skan S wave travels through the Earth, the relative motion between the S wave and the) 0bos7x,k 6vsl9oc4oasdj r* particles is

  In seismology, the P wave is a longitui 9pbe5fbgpcmd,:1(jo1 do g4dinal wave. As a P wave travels through the Earth, the relative motion between the e9b4,d g(jo1pmb:o1cdp g5i fP wave and the particles is

  The intensity of a wave iss8iekoo5x03n -7x+ca-dd.ai givpopkk)v 35

  A wave pulse traveling to the rightn oc6j1u4n+ce along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation c1o4ec n6nu+ jof the reflected and transmitted pulses?

  Two wave pulses with equal positive ampli7 wp2mae*jk -acai5r crw)*n4tudes pass each other on a string, one is traveling toward the right and the other toward the wp*ra )4-* en52cwr7cjmkia a 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 toward t a-mr.j m1yrjx8.xr(mhe right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the.jxmx8 (.yjr -mmrra 1 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, occurs wht5zy2w6k s;t* fr /l eca+v78mj-zbxm en

  If one doubles the tension in a violin strt;*4xui(fgr jua 2x/king, the fundamental frequency of that string will increase brx*a2 gj / u4ixu;tf(ky a factor of

  What is the spring constant of a sprinjtm jx.iigqiy1, +. n/g that stretches 2.00 cm when a mass of 0.600 kg is suspengyix +j1 in.mj,/i.qtded from it?

  A mass is attached to a spring of spring constant 60 N/m along a /*2ryf hm0m;c bbzc38km:; furg 5 cjohorizontal, 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 z5mbk3bc uom/rm0j h ;fcgc:y f8r*;2equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring cons7r ir93.odjd (h*kjadtant 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 ir(dakj9 d*7oji. rdh 3s the period of oscillation?

  A mass is attached to a spri(fsc/tcsl( ( q y(hv6xng 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 6 q(fcy(sxl ((t/hsvcgo 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 osczgs 5ml):j5gotxfj6 5illations in 5.0 s)m xjz 56:f5 otgglsj5. What is the period?

  A mass vibrates back and forth from the free end ofr) ihbj;ipbq.f u9k k(1,- oo blj21aa an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibra1iqkkob;o ajj)b -92puf , rb.(hil a1ting mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to af4;n7((s jfzkp4 yx9;nag cff spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic mot4;fx;4ffyp 79 n( c (jnkfasgzion and has a speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHMffz(u +uim7 6a2axz4s)y jw2rt8q) hp with amplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is auau r42+xy))mifpsh( 8 6jz 2wf aqz7tgain 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 bm2l3-s*/4 l, jf; 9 ohdyvaxhfkpby0*o1pcs 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 amplp2,3s -hfy b0ovlp/oh by 149lx*cs a*mdk;fjitude of vibration?

  A 0.50-kg mass is attached to59f;i 0*xts a eqklj/k a spring of spring constant 20 N/m along a horizontal, frictionlessfq50l;tak /i*9xjkes surface. The object 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 sk tenl1.*/rwz5(, lw:s p 9p.f kmidvopring constant 50 N/m and set into simple harmonic motiovwk9n p5ilz*wt.mr sekfop .1(,/: dl n with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attachedox8eug;o 9pf fw,o(kex 52uz6 to the end of a 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 mechaniof( 52ouu9 6p exg8,e wzx;fokcal energy of this system?

  A mass vibrates back and forth from the free end fon wjn):)m*58 yz;d+ m wqhvuof an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mas+))wno q;dfjy nz:*5hmmv8 w us?

  The mass of a mass-and-springsh0qukw0 : 7 htaqtu(wx(/gl8hf i:f7 system is displaced 10 cm from its equilibrium position and released87tshawhw( :( lthxifu7qg:/k 0 q fu0. 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 released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. -mfxl m0w7i i(v hup*:h8kj/g The object is hgi:lm f*mhkv-/u78j 0w xi p(displaced 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 ce;)moxrelcp* s/(: bk onstant 10 N/m. The object is displacedce kx *:;(/r)mpelosb 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 cym 2(pyienq2y s.n d5:onstant 18 N/m, displaced slightly from its equilibrium position, ands.d2yneyp( mn:q25iy released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 H+4*2ej,bpshi 6q8tr) swy cdiz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mdi qt2ye+c)4 isswp jrb8*6,hass?

  Two masses, A and B, are attached to different )+oplhhj69a8b . n4ids (v mnlsprings. Mass A vibrates with amplitude of 8.0 cm at a frequencyi.n8m lh9sv a(4jblh n6o+ )dp 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 maximum speed of B?

  A 0.30-kg mass is suspended onj3dg a -s w)s1rbhh/8m 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 oscil-jbs)1gh sh m3w/adr8 lation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretc(l,c-gas,9+ao o)twxn h4eyf- f9 hmches 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 tom-4) (caglxoc+ aeht-9,s o9ywfh,nftal energy of the system.

  A 0.30-kg mass is suspended on 0n ahat-(bwn 5a spring. In equilibrium the mass stretches the spring 2.0 cm downward. Th (b na-a0n5wthe mass is then pulled an 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 position veru:*ynj09.whuh cz /tp kkpj,.sus time equtwp hh.j*u/ncu0 9ypkjk. z:,ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonicr* n4+jls;kt+v/vg g,l okeq0 x.ea2x motion obeys the following position versus time equation:lgvlqx gxrkeoe; /*sj v.t+0, 42 kn+a
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position vec7e q5bmphmv+b82, aprsus time equationp7m,q m5v28hbe + bcap:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spgk m(cf4-oj ;odt4p (ering executes simple harmonic motion according to the equatio(f4om(-; egkcp4 tjdon $y = 0.50 \; \sin (18\pi \times t)$ 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 o bzkf1+(r nir 4*x7vyrf 20.0 N/m oscillates on a horizontal, frictionless track.b17kif v+*4rnrzr x y( 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 itsh6 t/qc,skk)f my f6/y7qva g 2jf,:xs frequency and period on qy6f cavjy)t,x :k7f smhs,qg k6/f/2 Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its p.jibyq,l0 m-fi k4g 2seriod on Earth?

  A pendulum has a period of 2.0 s on Earth. What is i/bj2 e.g( 6zrcqp rs g3tm48jxts length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on 11xrm5ze)k1b -jg db tthe Earth?1 b1rzgmkxd t5 1e-j)b

  The pendulum of a grandfather clock is 1.0 m long. What is its uq- d2o7vql *dperiod on the Moon where the acceleration ld q2uv-o*qd7due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of,ag4xk j u 0m)sbd 7obehhfyzv2*--5 f a 0.25-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 ma2db*-huv hxfzb-)sg , j5efk4y0a7moss (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g massc .urz (kao90y has initial angular displacement of 8.0e. It oscillates with a period of 39urk(zc .ya 0o.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 timgn3v qy7f6uc 1e. The frequency of the wave is 120 Hz. Wu61c qngvfy73hat is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at gdp p l/uj)f9,(0tx7r kzves:a given time. The frequency of the wave is 120 Hz. What is the wje dv,/l) sup97zf r: gkt(px0avelength?

  Figure 11-2 is a "snapshot" of a wave at )ps51z;(yavp y:-xq:dr ush *epzlf 5a given time. The frequency of the wave is 120 Hz.pyq:xdh s*z5u r-y e)p5apvzf1l;s:( What is the wave speed?

  What is the frequency of a wave which has a pm o swit- o9-x(ax6.oieriod of 6.00 ms?

  What is the period of a wave with a frequency of f up(-cv5x8paek+1o t 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of 3g .h3k2ap: ehu.0.ea:gh pku h23 m?

  What is the velocity of a wan.s 6 2gsc5sxqa3;r pove that has a wavelength of 3.0 m and a frequency of 12os2s.p3;sagnx6 q 5rc Hz?

  What is the frequency of a 2emaaq- g/qm9sz6i*5 r .5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/my*)y4fbpntf- en,xn j mm(4 5h is under a tension of 1350 N. What is the j,enn4 bm-pnm(x ffty5*4)yhwave speed?

  A string of linear density 6.0 g/m is under a tension ofat (k6t+8 n vez9,bfyh 180 N. What is the velocity of propagation of transverse waves along the 8f zt+b (,vetayhk6n9string?

A wave whose wavelengtaqo0 yt-7d5-guvq pl3h is 0.500 m is traveling down a 500 m long wire whose total mass gyq q0a-lu5-d 7vpot3is
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 fixed jxq0 ;kiv3p ,wat both ends is 200 m/s. Which one of the following is not a resonant fvq;, 3 wi0jpxkrequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which on cvtnmkzl +. dzma6z(7xd9f+-e of the following frequencies can set the string inzkdnv+d am7t96cz.mf (+ zl- xto resonant vibration?

  A stretched string is observed to have four equalzb0651 mwcft-qgj r( g8ms ku)+ zsij+ segments in a standing wave driven at a frequency of 480 H1m6f5wu+zs-bmcizj8g 0 s(+ k)g jtr qz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibratkl( 6 kt8e8j.a;2aqfr 1nef dyes at a frequency of 12 Hz with a standing transverse wave pattern co f2nlr;k je18 k.dfqe6t(8aa yntaining 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 .unpeb-azt 25(ycczu;vi; y)tension of 20 N. What should its length be if its fundam;vztiyzbp5uc2) a(; .e-yun cental resonance frequency is 220 Hz?

  Find the first three harmonics of a string o6xmb -(2fb6uew3dm0v7 2h s 8bkdh vysf linear mass density 2.00 g/m and leng7sbk (h - 360whb2sxmfmv8d6e 2 vbyudth 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When 6zxsrh -,yv )6sicz 6fthe string vibrates at a frequency of 85 Hz, a standing wave with five loo sy sx,zr6izf-c hv66)ps 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.