The time for one cycle of a periodic process is call 33z+k7 ky x tqn/or3i:q(jfrted the

  For a periodic process, the number o84dj5l i1xa4qa ur2gtf cycles per unit time is called the

  For vibrational motion, the maximum displacement from the ,y( c j-(2alndtovo*v pyq)2x equilibrium point is called ((vca oon2-,ld)q yxv tp*j2ythe

  A mass on a spring undergoes SHM. When the mass 5upa hd 6v74 lnyj0r a-ko4q2s1 xoyx3is at its maximum displacement from equilibrium, its i -x6yk4dnu r x o7l3a42hp 51qoays0vjnstantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes thrbyx:w1 w; g2ymwd3/sx c 5tcy4ough the equilibrium position, its instantaneous velocit m gyx4b;wx2w:dw1cy/53 ytcsy

  A mass on a spring undergoes SHM. a vexql+7h;+jx u81 px When the mass is at maximum displacement from equilibrium, its i+ xlex j qa1uv8xp7;h+nstantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points A0lpyku(s3ik1so +(3b/j n f5l1z ep sx and B. Where is the mass lf/yxnlsu3e (szs5 bk3k10+1(jiopp located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between p p6i/fw;;;cmgp1jxu p2a ez)woints A and B. Where is the mass located when its kinetic enerzce/)x ;fi2a 1gpp wp;mj;6wugy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betweedabm7cf 7h*9mm 7exn(n points A and B. Where is the mass locahmm7x f7n9b cdm(*ae7ted when its potential energy is a minimum?

  A mass is attached to a vertical sprin(ovh5*l) gkcli iq* ,ag and bobs up and down between points A and B. Where is the mass located when its potential energg , l(ckv qi5**ihloa)y is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring s;, ,k gfb r)/ig4a d:uahi1jaoystem produces what effect on thjo:aiig;/)auh ,b1fk,a4d r g e system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring syss e/3st:cso*n tem produces what effect on the system'sntcs o/s 3*e:s mechanical energy?

  Doubling only the spring constant of a vibratgf8.jrxjcz,0nop bqfy :,c .7ing mass-and-spring system produces what effcb0q7r..:jgzo8 yfjxn,p , fcect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on thej ic 0+0 ryu4-ezd+j6hbjf9e d Moon. Where is the period the greatj fij cde9-++4b0 eyrd6uh 0jzest?

  Increasing the spring constant k of a mass-and-spring system causes what kine glk++: k 9f6ntguy)-2ugcoxd of chan fe+6:cok9xuk)y2 ugtn-g+ lgge in 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 of changc fxy + 0p-l(kfp)g1cbe in the resonant frequency of the systb-l p(x0+pfk)yf 1c gcem? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kgp 3gsa,m )hh. :/nvihind of change in the resonant frequency of the system? (Assume ns,h3:)p/viag. hgnm h o 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 consi:0ky2g4q gndpt 8my :u)h lps*sts of a mass M attached to a weightless string of length L. For this s g ktl* 0mdn)4 qpuy2y:8g:pshystem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one co+elt(p5dt3fta x(o /.i tuef +mpletelu3d.( it /x5a+t fto+etep( f vibration

  Both pendulum A and B are 3.0 m long. Tslq /hl7mv c3(w2u4 i4m rowu+he period of A is T. Pendulum A is twice as heavy as pendulum B. What is the perc 2q3uwlosw 7uv(+ml 4ri4/mhiod of B?

  When the length of a simple pendulum is tripled, vr.,fdzc/o4u 4 /uhbijn 6yp8the time for one complete vibration increases by a factor 4.ojyp/uczdb/n6,r h8f vu 4iof

  What happens to a simple pendulum's frequency if both its lene-h44,hv1wdh xc*m rngth and mass are incr*44h-ewnmv d hc,rxh1eased?

  Simple pendulum A swings back and fort 8eid7q/rlby;m wd63x pcn8.t h at twice the frequency of simple pendulum B.rlt83d 87iw;q c.ne6/pxmbdy Which statement is correct?

  If you take a given pendulum to the Moon, w: wm7m mzbs9n; ma(551r npf5nolwc5 where the acceleration of gravity is less than osa; 55 pwc5zn7n 9:orm 5ml(1mn fmwbwn Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 representg wimi1m4:,ti0 : dxjws

  Curve B in Fig. 11-1 repr o8crbkfzw/ 6mpe:0r8 esents

  Curve C in Fig. 11-1b vlzkt-*0 8fka e0s,a represents

  For a forced vibration, the amplitude of vibration is found to depenr /,w:ku rc)2/urwljo d on the

  In a wave, the maximum displacement of points of the wave from ng )yw2a)k jqw 8.3a0ocmhb,sequilibrium is calledaaq8g0,b )mwosh3n)j .yck 2w the wave's

  The distance between successive crests onyu;0rkgoe 6hcr sl9)* a wave is called the wave's

  The number of crests of a wave passing a p:sblh 82eap x-)8 nhf8qrueq *oint per unit time is called the wave'sxb 8arq) u8-heph8fn*qe:l2 s

  For a wave, the frequeng(kto :m f i265g)okxmcy times the wavelength is the wave's

  The frequency of a wave increases.:e ipxf.)j: j 8is)xqi What happens to the distance between successive ci: i).qfxp)8: j sejxirests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A d;fk8 -wzl pjdry9k0/b)cb w.second wave on the same string has wavelength 2l and travels with the same velocity. What is th 8ldkwcjz9r 0)/b .;p-wydkfbe frequency of the second wave?

  Consider a traveling wave on a string o e.j*dc,bh7tpwf3crdrh)+b v 2 /wtt:f length L, mass M, and tension T. A standing wave is set up. Which of the following is d+ )3e7htvwdw* rb, /2. ccpjfrht:bt true?

  A string of mass m and length L is under tension T. The speed of a wave in the hr); /rh m.5ow zfbk,uut :dg7ci08nj string is v. What will be the speed of a wave in the string if the mch wrn)b7f uz ; imho8:rdjtu,5g0/k.ass 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 ink9tw0e )zt 8nh the string is v. What will be the speed of a wave in the string if t89 tekzn0)twhhe length is increased to 2L, with no change in mass?

  A string of mass m an,gllyg9 :bt,7phd rzcs7/1rxjk-5c rd 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 tension is increased to1-x9prtc g sdl jc/ hby,,5g7rz r:7kl 2T?

  In seismology, the S wave is a transverse wave. As an S wave 6hhzc6+-yjtb m-wn0 ( on vpjd1upx4,travels through the Earth, the relative motion vn d+-jhucw6 t, mhpy0pz41n(o-b6 jx between the S wave and the particles is

  In seismology, the P wave is a longitudd/8g7o dkuy s+m /ha3qinal wave. As a P wave travels through the Earth8m hq/a7sg/ydo+d u3 k, the relative motion between the P wave and the particles is

  The intensity of a woxs)v;yn z kpk5w.4 f;ave is

  A wave pulse traveling to the right along a thin cord reaches h )w ag1o95 vg9h2umxha discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflech og91gh2ah wuxv9 )m5ted and transmitted pulses?

  Two wave pulses with equal positivicy f9 v35,plre amplitudes pass each other on a string, one is travrcy 3vi59fl p,eling toward the right and the other toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a 4c9y2jw/yr co uf2i)7dw.yu l string. The one traveling toward the right has a 2d ro7cu)uli. 4wjcwy 9f 2/yypositive 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 space at the same time

  Resonance in a system, such as a string fixed at2/w9qvi1 xk ln both ends, occurs when

  If one doubles the tension in a violiz1 wizq8u:, kwlgbo-4n string, the fundamental frequency of that z1g-zw ou wqbi:8k,l4string will increase by a factor of

  What is the spring constanh2 /1py 7i x7g6cjnj vqlz:b8qt of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspn6:vq /bg7i7y81 cz2jhp xjqlended from it?

  A mass is attached to a spring of spring constant 60 N nhaph9u c.o:j,2vsp;/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the9c;jh.ppon2 :a,svh u 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 constant 60 N/ -.e e9ac.ctu z:4hzv09iac vl( irvy,m along a horizontal, frictionless surface. The spring is initially sc eu (z 04aic9e a9:.rivvtyv h,zc.l-tretched 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 of spring conddk ls;b-a ;bwn 1,hxppk+0 j:stant 60 N/m along a horizontal, frictionless surface. The spring is initially stran;:dw hp,k +- l0xj1ds;kpbbetched 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 through 10 c2- ox5 cpmr8 1ilfhgs+omplete oscillations in 5.0 s. What is the periogslro-15c h+ mx82ifpd?

  A mass vibrates back and forth from the free end of an ideal s-p(t7+vx tc0mw+ z-y;*ggg3iobua tzpring of spring constant 20 N/m wiz7 (wy-x+iptzb uv0cm+ttog-3; *g agth an amplitude of 0.30 m. What 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 sj:ev,jx4oj ( wa p7i6cpring constant 20 N/m along a horizontal, frictionless surfajwox ,p(j7c4eij v a6:ce. The object 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 ampl0erb *o i)btg2itude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set i) e0grt *2bboin 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/m along a horiz4.nyf,l us2;ahm8hrlh ; n2x4eky v9montal, frictionless surface. The object o4m xeus mnkfla;n l2. 8vy4y,hh;9rh2scillates in 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 20 N/m w xi8rukkm:: 3along 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 are the kinet3 mk:wxuki:r 8ic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring consta+) ys o-,h,ucx w7t rs-6pvzgtnt 50 N/m and set into simple harc o,-)s-u g,v6sprhx+ tt w7yzmonic 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 springzl1e3i2 j ga2i of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the totz 22e3 lji1giaal mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of sprip8 wu guvwan, 3 lq)dw1jc+5y,ng co5wq,aj ,ny)u+d1 wcvwlg3 8upnstant 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-and-spring system is displaced 10 cm from its equilibr37mxlm*k8tv 2)d;;wvpfz f-x3y mwkf ium position and released. A frequency of 4.0 Hz is observed. What3k8f 2dl wv;m7m-xyk ;mpxwf*z3f)t v 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. The objecs vy6d7r d18bjt is displaceddd1 r76 svjyb8 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 of5qk) l04gvew f spring constant 10 N/m. The object isv efk)4l0wg5 q displaced 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 sprckpjif-t, u 2+e+ rtgvr9y*g9ing of spring constant 18 N/m, displaced slightly from its equilibrium position, + 9f cvtj2ye+u,9t ggpk-ir*r and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at 1dhg. o w /qsh*-s7rl0 xsep1ja frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium andd-*0xwgh.1 7po hlsejss/ r1q released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates with amwo2 /l,ow 1att3ihux u+r6m6gplitude 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 ui,o6w1/ rw3m gouhl xtt26a+compare to the maximum speed of B?

  A 0.30-kg mass is sus15d hgjip m -b6g xqlbu,j10)zpended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled anm-q1lxg d gbh6p05u,jzij )1b 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 mass stp4t8wz2)mjnoibp v6, +jzx9 q *km jr6x9q br:retches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and jq q+xkr*nb z6bpmi,6rj4p j92v9x:zotm)8w released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. ax2h.p: gk(6bh-fsq pIn equilibrium the mass stretches the springsxh bp-agk pf:6(.h 2q 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 motion.

  An object in simple harmonic motion obeys the following pos2 ll0)y: h6hial;ma zsition versus time equation:l h0s lyam6h a:i2);lz
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonik ujn-odmdze el(*ci/5 a le/54y 5zxc28wrh+c motion obeys the following position versus time equation:5l8 lhrny d-u2 cmka e+c/dee5*5 xiow4zj /z(
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus:4vls7 ck 9g 0gc1wizi time equic1g vlgwskci9 z 0:47ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple h8mzia7o ko0fcxl m2z +idpni)o/7 *c0armonic motion according to the eqm7i8*lon)0x k+pooi7i2cazc0d z f m/uation $y = 0.50 \; \sin (18\pi \times t)$ 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 20.0p5radyryy)y 72yr.:)h.q dyyi6v m 4i N/m oscillates on a horizontal, frictionly)viyy 2hy)5 : yyrap 7drd6 qi.4ymr.ess 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. (ah;z- )lc4 (drf; rqlj6lp5hrt) What are its frequency and period on Ear5rt rq hl;(r 6;hdjpfz)4-lc lth?

  A 3.00-kg pendulum is 28.84 m lz w9t i.y 1abzi6s,1upyy ng:y8hb0hs42 v ji)ong. What is its period on Earth?

  A pendulum has a period of fl: 2ew uhan91mdnwf 703m;b;ej4 ljz2.0 s on Earth. What is its length?

  The pendulum of a grandfathe2l *n6ps)mo q;/;tvo-et(+iom pje ptr clock is 1.0 m long. What is its period on the Ea*qoemvo)ppt/ pln+i2-;;e(j6tmo s trth?

  The pendulum of a grandfather clock is 1.0 m long. What is its.9id;v)e 1 upomd 4cwm9sn/zn1e3uvm period on the Moon where the acceleration dummod;n vp4em1v9wnd 9/) .secz1u3 iue to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sphericko /6d62 i3mdg kzo:boal 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 attached to thkz o3dg6:/ i b2mk6dooe string instead?

A simple pendulum consisting ofh,f*) cm8wh+ yvtjui2 a 20-g mass has initial angular displacement of 8.0e. It oscil y,c2hv*+jiu)fmtw h 8lates 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 w7h3v t zyn2 fd-e (pf(beo:nwlsrx721ave is 120 Hz. What is the amplitude: fbn2np2sx(zevyw f hl7e3o t(1 -7dr?

  Figure 11-2 is a "snapshot" of a wave at a givewjf;2 l vmk00kn time. The frequency of the wave is 120 Hz. What is the wavelk00kl vwj;f2 mength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frecxp6 v,7w-vae pxf x,9wyk13pquency of the wave is 120 Hz. What is the wave fxy1e 6px kv7wp,xa,-9 pwv3c speed?

  What is the frequency of a wave which has a qohczj- x:,egs+ d x b)-05dghperiod of 6.00 ms?

  What is the period of a wa yf6xqo)0t x9uve with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelegu; s/d z+xfe*ngth of 3.0 m?esxgd+uf */; z

  What is the velocity of ajfxe4 0z;hu54y qsk)s dzu 4o/ wave that has a wavelength of 3.0 m and a frequency of 12 Hoh4 u04)5ujszxkfqe4y zd;s/z?

  What is the frequency of a 2.5 m wave traveling at 2r kbetuuhm)vodg )9) +w)+rt 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is unzwfap(.l e. :mzyxs2c wl53jhol 8u (,der a tension of 1350 N. What is thelowyzj(zf :3 hc5s,amlx2l8 (.uw.pe wave speed?

  A string of linear densi jz*l.(vjy257ytxq smlaj9 p ;ty 6.0 g/m is under a tension of 180 N. What is the velocity of propagation of transvl5y x s;7 al2jmpjz(q. v*tyj9erse waves along the string?

A wave whose wavelenga44ocsd 7v1 +pa-rnpg 7 nffb;th is 0.500 m is traveling down a 500 m long wire whose total ma4p177 caso- f 4fnragp+ v;bdnss 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 tranlni/de dsz--.pr ++ja2/ rnwxsverse wave on a 2.0-m long string fixed at both ends/xns2 iezjdn-++.r p la-rdw/ is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the folljbv18hvdv *p0bacdkp3j4; ( s xx+on4owing frequencies can set the strih b 13+4vcpx;p8(j o4*v dkjaxbvns d0ng into resonant vibration?

  A stretched string is observed to have four equal segments in a1ofwqy g3p3v. standing wave driven at a frequency of 480 Hz. W f1oqg3w3v. pyhat 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 a standing lml5doho0g)8b,mmy7k w, ztdj v--s* transverse wave pattern containing 3 loops. What frequency is needed if the standing7m8glwmj* s oo,zlmdby-,- vd h0)kt 5 wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What shog 5fff/qsb d2*uld its length be if its fundamental resonanc5/ bdffg qs2*fe frequency is 220 Hz?

  Find the first three harmonics of a string o;m7aqlj3 hjfh (mev -p )2s3avf linear mass density 2.00 g/m and length 0.600 qp(3shv7 lm2am3- va hj;efj)m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at k 1t/ ftm.rtx3a fr.km/t13 tfxr tequency of 85 Hz, a standing wave with 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.