The time for one cycle of a periodicvdl bm,k;ir,g 5r5s: d process is called the

  For a periodic process, the number of cycles per unit time is called,m3ro:wrlsgo3 v+ x y; the

  For vibrational motion, the maximuaf /:0a+ hhlqom displacement from the equilibrium point is cao / fqaa+:hlh0lled the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacement i(r:gz 6.yal bfrom equ(lrag.iby6 z :ilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When thet+b/lixbc y3- *ka o-w mass passes through the equilibrium -y/aiobl+3 cbkx w -t*position, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displace0pa 0kyfir02 ament from equilibrium, its instantaneous acc00a ipay 0fr2keleration

  A mass is attached to a vertical spring and bobs up a 9cmcujwofpk0- ) * pz94qouy2nd down between points A and B. Where is the 4jow zqc f0pyc*92 m9)u -okpumass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and dl z(1w1ch8mfp kfk(w 5own between points A and B. Where is the mass located when its kinetic energy is(p5c1h mzw( lfwfkk18 a maximum?

  A mass is attached to a vertical spring and bobs up and down between points 3 562kjx k0 omutyb7ggA and B. Where is the mag2bmyx7k 56jk ot g30uss located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs ucl(5-007*wb eqkpofiv h0e1g jpute* p and down between points A and B. Where is the mass locatee*upq7k0 fw0- glec0ot 5ejib1vhp(* d when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring sys hh*kv8+jvim0 tem produces what effect on the sjhik mv8v+*0 hystem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring6y)g.b qugh7.l bufj0 system produces what effect on the system's ful bqu0g)g ..j76hbymechanical energy?

  Doubling only the spring constant o b*yyjc c2zb;yce3z0. f a vibrating mass-and-spring system produces what effect on the yyc* ccz03b2y z;jb. esystem's mechanical energy?

  A mass oscillates on the end of a spring, both on Eagt1d *tpe 4t.jrth and on the Moon. Where is the pe4 t*tjp.dg1teriod the greatest?

  Increasing the spring constant k of a mass-and-sprmride159d n3uvq z1s )d2, 2nxm4 gubuing system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's n9b1 in2r 4 q xev5 md1sguzu,dd3u)2mmass m.)

  Increasing the mass M of a mass-and-spring system causeb.t 4f657jhw2ron)f (kx4rtedo. p dps what kind of change in the resonant frequency of the system? (Assume no change in the system's spring con.dwrk jn.d6otr px7po2t4ehf45 (b f)stant k.)

  Increasing the amplitude of a mass-and-spring sys*cq4,j ; iglaig ;y)nutem causes what kind of change in the resonal,);4ic jgi u*a;gyn qnt frequency 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 weightless string 5xyqmx njy99w*3zm j8 of length L. For9mwj9y*5xm zn yqxj 83 this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time requiredc; j m(k0rz6) ztb2kzb for one complete vibr(k 0jz b2bmtzc; zrk)6ation

  Both pendulum A and B are 3.0 m long. The period of A is T. Pens s/ dok2dhc8nl .w42m)6utxo dulum A is twice as hetk4ow.d /8mdsn6 su2loh2)c xavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for on,, +g)cycyvk +polz, tffodseb*8o 2 4e complete vibration +z c) yytcelp8sd+go*ov4fo ,f,,b2kincreases by a factor of

  What happens to a simple pendulum's frequency if both its length anv.0+2.4ogojzu qbrah d mass are in.0gb.o2 ho zqur4v+ja creased?

  Simple pendulum A swings back and foqjsya; ql/;xp(g0ncv * 1,sr drth at twice the frequency of simple pendulum B. Which statemes/a1clp;s 0q;ydv jq, r(g*nxnt is correct?

  If you take a given pendulum to u gpssxv2,l;8 the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pev s2 g,ul8;sxpndulum will

  Curve A in Fig. 11-1 -fetvvk/wk 170qtq:t ec0sf8represents

  Curve B in Fig. 11-1 represent/f i0 :np-am3ndryw/ztc4jr :s

  Curve C in Fig. 11-1 represents( fyh6 .sdkzm5

  For a forced vibration, the amplitude of vibration is found to depend oj +sb :lknj93r7ud z igvlb-xv)1(: ocn the

  In a wave, the maximum displacement of poink2dqix ;a h a3u7*w5hjts of the wave from equilibrium is calle*;723 jaxdh k5 huqiwad the wave's

  The distance between successive crests on a wave is1rch )opxa: z: called the wave's

  The number of crests of a wave passing a point per unit time q gs)q8f fk.ju.m, .ivis called the wave'. jf kg8 .mv,)quiqfs.s

  For a wave, the frequency times the wavz0ynj)i: 0ndnelength is the wave's

  The frequency of a wave increases. What happens/ omadhj-ci0z:rc57; jx -paq to the distance between successive crests if the speed remainxj-5qhdi; za/ a0pj-co r:7mcs constant?

  A wave moves on a string with wavelength l and frequf bfc 3h1w2j7lency f. A second wave on the sj2bfcl1 w3hf7ame string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wavefne ) 6uxv-u 8m-vxpj, on a string of length L, mass M, and tension T. A standing wave is set8m-p)6fxe ,njvxuv- u up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave in t064jtjnvu,n rhe string is v. What will be the speed of a wave in the0j4,rn jn vtu6 string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and lengc9f7fa h.ny3a eyty )877tq zyth 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 length q)3z tyyy79a7tacfnyhe. f 87is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T.b//al d8a6 s 6xzgsb )gy5gnn) The speed of a wave in the string is v. What will be the speed of a wave inazan gb)x6n)g/ y/5g8 l b6dss the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave trapl-(ngrte5 ,:8; 4nqq gtl .lfq3hsatvels through the Earth, the relative motion betweets,4( qt lq ggtf8- p3aenhq5; lnrl.:n the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels thb7vg4*j. xkz)ps3a ri56oanorough the Earth, the relative motion between the P wave andn xg6k* z.ora45opj3sv7)iab the particles is

  The intensity of a wave7/2+q -hkovvbv /iom o is

  A wave pulse traveling to the right along a thin cord reaches a disconti+iy+c 6s cic;k6sxww :nuity where the rope becomes thicker and heavier. What is the orcc 6x+iis : cy6s+wwk;ientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string xt;l c.h:ee-g, one is traveling toward the right and the other toward the left. At the point tha l;:.x-ec hetgt they occupy the same region of space at the same time

  Two wave pulses pass eacd- p5 zma9h.lqh 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 point that they occupy the same region of space at thd-p haz9.m lq5e same time

  Resonance in a system,g s5 2c,jah4jk such as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency of tha p ) ,)eenpv:eimkk75ot string v5oppm,n:))ek7 ee kiwill increase by a factor of

  What is the spring constap(, yu ptvp bozhu37wskqi) pe6:.h2+nt of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended from it?z:i.2hbpw3( oteup7qk y ,vp 6ph)us+

  A mass is attached tod:kz*vy10, z0vo tzxy a spring 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 go back 0 v*yyz0x z1o vdzt:k,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 horizon)o6;lgpwwo npmn/ry:qt)13 ntal, 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 oscillpw)p:/6)nw qgn 3orl myot;n1ating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, frhbypc hoeb vd6zb3;4zh , :n/)ee7u *victionless surface. The spring is initially stretched by a fo:3b h);6 zo zh*pv,b/7be4euvecndhy rce 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 complete oscillations, ;p 8lud,xoiuy,gzq xw)cx4/ in 5.0 s. What is the pe gi o,, 8uy,x;wcxl)upq /zxd4riod?

  A mass vibrates back and forth from the free end of an ideal spring of springgj/wd;b 6b3sz constant 20 N/m with an abj;/ dwbzg63s mplitude 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 attacvz;6f dpz, e-fhed 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 thez6 fvd ,f;p-ze total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this time.jzod,q o 4ow8313b kb+;irxez The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy of the system now?d ,xwbz 3jo3o r+1;o 8ikq4bze

  A 0.50-kg mass is attacue )6r8bii 75 * ncmqc2(kj*nvfn:xdh hed to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a spe* m rv5f7k:iqdh86iuc cen ) n*njx(2bed 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 almgf 81fp/3tn , k;2rbwjnlp z.ong 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 loca.ptj,3rnn/ gm1 2blw8kzfpf ;tion are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attachesp8- jo,c*3no( e ogg p,nw:knfn9m8 wd 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 k-8sep,fwn3j 9nnno cmgw,8o*pog: (is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal fx; dcy nnzmlo+g r)g+wy(-: 9spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this systmc )wyl(-z +y;:dgxn+no9rfgem?

  A mass vibrates back a9aoy)j,3 dh ymnd forth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maxioy 3mhy)9a,jd mum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from w4lmu: m1t5cn its equilibrium position and released. A frequency of 4.0 Hz is observed. What f unwmt m51:4lcrequency 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 co)k0yf3c 4xgg0 2iux hhnstant 10 N/m. The object is dhgfc2x3ih00u4k gyx ) isplaced 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 constant cph (z6)u fi+w.w)l jm10 N/m. The object isjizc6+h)(u . wmw lp)f 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 spo5+ir t3lq+e5w .kpgh ring of spring constant 18 N/m, displaced slightly from its equilibrium position, and releasl3wp +5i.eho kt+5g qred. What is the frequency of its vibration?

  A mass is attached to x08yb(zwj y g5b7xwm1 a spring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and r8 51ywy0( xgbzwjmb7 xeleased. What is the maximum velocity attained by the mass?

  Two masses, A and B, n- 8e-. xspkqware attached to different springs. Mass A vibrates with amplitude of 8.xpsq- e-nw .8k0 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 maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In e)wag vgk650vw4n id9rquilibrium the mass stretches the spring 2.0 cm downward. The mass ir90vgw6 v54gkn wd)ais then pulled an 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)4y m4*hvymh68aqk gk stretches the spring 2.0 cm downward. The mass is then pulled an add*8mh)akk4 v4q hymg6yitional distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stre-c*a7rb uw) pamyj1m9tches the spring 2.0 cm downward. The mass is thenr) 1*baw9m 7 cuja-mpy pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple hargj7ewm9 72* nb ahpne8monic motion obeys the following position versus time equejp7 72n*h a9b ge8nmwation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion )-w x(-g( dgmnu8-a ow;j dcngobeys the following position versus time equat- 8w-axn)ojgcd( ggmu; w(d-nion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic f5g *-zlha c6ik (8andmotion obeys the following position versus time equation:h fcl5d(k*a gzia- n68
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring iw-i*/ t+ uxw(hvaq*p executes simple harmonic motion according to the equ* /uvhwwi p-qx(ai* +tation $y = 0.50 \; \sin (18\pi \times t)$ 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 con ;dmwo-a byn qjr; ftg*-v+:7mstant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= wn:j;qt--; v* ay fbgm 7r+dom10.0 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 *no mw7pa 7q)6e3s1:hton) vu : xibdlfrequency and period b)7nl h aups*1tw )q:m3 xvn6e:oo7di on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its:yh cspa deg;.+bra:v2 f p*y. period on Earth?

  A pendulum has a period of o9v *yk(fu 4be2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on thjz3d9*k lz.dqjah7q0jzg k 4, e Eart.az0gdk3j * jkjqhq7dl9 z4,zh?

  The pendulum of a gre x+w2 xgqlr9-andfather clock is 1.0 m long. What is its period on the Moon where the acceleration-l2q egr9x+xw due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massleshp9*j*lo:e3m0g m.yc q *gwjc usy .3js string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a f0ljhe .j 3cg:cmo9 ms y3*gpq .yu*w*jrequency 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 has initial angula ;hontlbc8-k yl8cs2* r displacement of 8.0e. It oscillates wi-*l8 k2o8ct hbsy cnl;th 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 giv- j9b:ou yug9 5stj 3htvuf,7len time. The frequency of the wave i- 7uluh, j o:vuf gt5s39tj9bys 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given tkg 70 5g;6n ozan4dmi jgm/m)jime. The frequency of the wave is 120 Hm0 /ngj m4jzg;6)g7 kodnm5 aiz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wa);buccx34 gm6 wxfn p7m3hl7e h( ok(ove at a given time. The frequency of the wave is 120 Hnu(xp 37wfxmcem 6);7o k(c h4h3l gboz. What is the wave speed?

  What is the frequency of a wave2nq,dsy2 .j6v0tp/gs,tk o vt which has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500q z 6lkiyop6p-j.vz7: Hz?

  What is the wave speed if a wa1jzrn 7-u nwq/ cr8 pbxt,;,pcve has a frequency of 12 Hz and a wavelength of 3.rr8x1-7tcp;wzn bcn q pj u/,,0 m?

  What is the velocity of a wave that hr7oiq9 lgy6/q*l gq.2; x f sg4rp)kzd g9p-tyas a wavelength of 3.0 m and a frequency of 12 Hz?)-q9 7fxp/z k r.pt yggsq 9yrq*dig ogll;462

  What is the frequency of a 2.5 m wave traveliq45ev4l : mz e,z.1g7jzxymq.is x pl9ng at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a trr5n 2f6ioy5 /qq0 qwtension of 1350 N. What is the wave spn fqirq rq520y6wt /5oeed?

  A string of linear density 6.0 g/m is under a tension of 18dcdy;d+rm, a6-k e n;i0 N. What is the velocity of propagation of transverse waves along 6aidc; ;-,n rdkd+emy the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whos*iagav jd( 6,h 5gzka6e total m5 ggv6h i*da(za6k,jaass 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 transvers3g -abvx9qgpcx(c l f6 :tr3g,e wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency,:3a xtp3b6rc g9g gqfc-(lx v of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whi(yp:ii4z6k g sch one of the followini sy 4pi(6:gkzg frequencies can set the string into resonant vibration?

  A stretched string is observed topewmtr6 0ywj;;9fe u/ have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving freqye9emfjt;wu/w r0p; 6uency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz+cn q lri 7rpeo,x11a2 with a standing trq7ena p1,2 r+x1ocli ransverse wave pattern containing 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 tension of 20 N. What should ity7g5+io uo/ nh nfp*jg3i,vv,s length be if its fundamental resonn ,3vui5/fn, y gvgo+ohpj 7i*ance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densitiy g*qjq, :o2vh jbu8:y 2.00 g/m and length 0.600 m when it is subjected t,*2 oj:bhy:v uqq 8jgio tension of 50.0 N.

A string of length 2.5 m is fixed adgru;, n2.mj1o iuz ddb-by. 7t both ends. When the string vibrates at a freq-bu;d.u 1,d 72bido mzj yrn.guency 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.