The time for one cycle of a periodic p4u,ed* u t-svgsk7e2lfdf i 2:rocess is called the

  For a periodic process, the number of cyclesu s8 bctix z*0;ek:nta0ipr0; per unit time is called the

  For vibrational motion, the maximum displacement from the p98rqxaaui th iro *.) *ofb25equilibrium point is called thet.ou2*qoxiif9bhr aa8*p r 5)

  A mass on a spring undergoes SHM. When the mass is at it+-*w3o-sn2fcf eqtjhho 4 ke5 s maximum displacement from equilib qh e3-e +kj5tf2howsnfc*o4-rium, its instantaneous velocity

  A mass on a spring ur:nov(b yfoe9-60i n zndergoes SHM. When the mass passes through the equilibrium position, its instanto-6n 9:0yz rnbe(voi faneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacemax0ujic di 1pq7/t, oy8);amdent from equilibrium, its instantaneous ac p)dda0 ,/;yutox q1imj7ia8cceleration

  A mass is attached to a vertical spring and bob tcp ztp,w t+ 1;e een(sj2ud:5;ew2uqs up and down between points A and B. Where is the mass located when itee tj2+nq we5wud1t;p:p; (zut2s ,ces kinetic energy is a minimum?

  A mass is attached to a vertical spring)0v rsi+ q o1k0dj:;plw/tlvf and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maxim tvjwp+k0ovdl0)ilqf ;/sr :1um?

  A mass is attached to a verticazrx0h.8 ,b4 vgnv/ );zabjo wal spring and bobs up and down between points A and B. Where is the mass located when its v,n/b8ro; axg)vbj ahz .z 4w0potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between po0,)db(b gvd xaq(7 le e+hd8 ucrgr74cints A and B. Where is the mass located when its potential energva(8x7)(d 0e lgu,qbrhcd+ce 7b 4dr gy is a maximum?

  Doubling only the amplitude ocz+dih- (0 zz7nsn;ue 3 0aplkf a vibrating mass-and-spring system produces what effect on the system's mechanical energlncz0sazdpe0z +-iku; (h73ny?

  Doubling only the mass of a vibrating mass-and-spring system producw)rl;we rda55es what effect ordl ;wa)re55w n the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system 6i5wbftuqqecsd+ 7f44ym+ 7aproduces what effect on the system's mechanical energy?a 76 4sdqeq4im+5fctfy 7buw+

  A mass oscillates on the end of a spring, both on Earth and on the *9z5 qb56x zyeuv.:hwu;k5qgs y zc *sMoon. Where is the period the* 5yzz5*95:g;e cqsuk szq6 wbxv.hyu greatest?

  Increasing the spring cp j7;x ga;pxz5b:tc e)onstant k of a mass-and-spring system causes what kind of change in the resonant fre:)tz5pxp;ae xbcg;j 7quency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what hk)f*sx eumol )+he-a:k3 k7ai ey:6 vkind of change in the ) -+3hlu*oxikekm fka76ae hv) : sye:resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes w:/uhy ;v d7*o1uf gmzyhat kind of change in the resonant frequency of the system? (Assume no other changes in the systuv1fm yy*dog :z u/;7hem.)

  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 consistpwny ah qf;.-3s of a mass M attached to a weightless string of length L. For t.aph- q3 wynf;his system, when undergoing small oscillations

  When the mass of a simple pea69os,cq drs/ndulum is tripled, the time required for one complete 9ords/ ,cqsa6vibration

  Both pendulum A and B are 3.0 m long. Tnwwsn4 93 1/k5aou-fy vysbf 5he period of A is T. Pendulum A is twice as ho1yf vban ss-4 /w539ywn5uf keavy as pendulum B. What is the period of B?

  When the length of a simple pendut v(f: -vz*s gfzhv,n8lum is tripled, the time for one complete vibration increases by azt vv, g8-(*fzhfsvn : factor of

  What happens to a simple pendulum's frequency if both its length and mass( bs;2.at5 7d gg1wb-hn-(lohoor fit are ino72h-gor;toi51ds( hl-bt(w bg n a.fcreased?

  Simple pendulum A swings b/zphka5-l0b:j cih z )ack and forth at twice the frequency of simple pendulum /l:cz hj kb)5-ah0zpiB. Which statement is correct?

  If you take a given pendulum to the Moon, where th: b fry pxufx)n/w)z 5utl2fa0j;29zpe acceleration of gravity is less than on Earth, the 2rw; pl zxff/j )yz0au :x5tb)f2 np9uresonant frequency of the pendulum will

  Curve A in Fig. 11-1 rbybl23 zfne,f kq( (h0epresents

  Curve B in Fig. 11-1v qo/ aqj6d13b represents

  Curve C in Fig. 11-1 representsfk66foob8vkc- h. keka -/-zi

  For a forced vibration, the amplitude of vibration is found ts y/+ 6tec r, nikpc86rbo6,jfo depend on the

  In a wave, the maximum displa6 exfyp:t1ofqg4hmi grl o+6h+. 6 cp.cement of points of the wave from equilibrium is called tp 6g.6mo.+tof6iyg+1crx: l h 4qp ehfhe wave's

  The distance between successive crests on a wave its rk8pkvgm)227ga6 -ohplu- s called the wave's

  The number of crests of a wave passing a point per unit time is call rwk/j5; 5ydzn+txk6x ed the wave'skkx 5yw+/5 dn;tzjx r6

  For a wave, the frequency times the wavelength is the rljf h)31zph 0wave's

  The frequency of a wav0ws+a) j8u jaxe increases. What happens to the distance between successive cres+)ujs0aj8x wats if the speed remains constant?

  A wave moves on a string with wavelength l and faa.( zx.ci,dk, lwgp3 w.imw+requency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the second wavix3w. .l c,+aw(gidawm.kzp ,e?

  Consider a traveling wave on a string of length L, mass z8mi l u2r.* vb5cme2wobn8y d;.sgb- M, and tension T. A standi e vi8l;.oy85sm.dbc z bn*mu2 g2-wbrng wave is set up. Which of the following is true?

  A string of mass m and length L is under tensiorz 2;;ic7 czu-i 6:2xn baljjon 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 is increased to 2m, with6z-;:oiucrcljx2 z j7 i ;nba2 no change in length?

  A string of mass m and length L is under tensio 69n6hsdfp u)han+ k;cgo/ *cdn 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 is increased to 2L, with no chanp69h s6; dgn)ocadch+*/ nufkge in mass?

  A string of mass m and length L 138lmqx+jdkg q.vys8,-q ;nzmx ab u3is under tension T. The speed of a wave in the string is v. What will be the speed of a wave isa 3xm8qd.8q; zqb-kv u+ 1j,3yxmlgnn the string if the tension is increased to 2T?

  In seismology, the S wave is n4oc6ypp:u)6t/- t2dzhp i uq a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the p z2/totq -hyp6ud4n i)up6p:c articles is

  In seismology, the P wave is a longitudin k pbx0 890ws;rcj:tcyal wave. As a P wave travels through the Earth, the relative motion between the P wave and the p sb;0tw yc8r9pxj:ck0articles is

  The intensity of a waveim(kpqle:uu 2r6-y 3,kbt8 pf is

  A wave pulse traveling to the right along a thin cord reaches a disconti;x4p))4 loqnv hc1/;x c.de wjfzzf6m nuity where the rope becomes thicker and heavier. What is the orientation of the ref dv;4f6zl/)wf hcpjce;xo.n zmx1 )4qlected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, one4iiau32 zte ;7 qa7hnb is traveling toward the right and the other toward the2 tuiieha 7bnz743;qa 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 tr a*d;0pscx il:/gtc3raveling 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 l i/3 xpr*ac0tc;sdg: they occupy the same region of space at the same time

  Resonance in a system, such as a strin *.q- uwoiguze h1-p4ng fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequr:*rf lny7 k0zalv37fpol s 69ency of that string will incrf3 7yl:zro k*l9sf0 6navprl7ease by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when aasb-j 9oh4 (iiych1 e1 mass of 0.600 kg is suspeieac ojy(-1b9si4hh 1 nded from it?

  A mass is attached to a spring of spring constant 60 N/m ai akseq u)ycu6c 5b(32;hjr o.t60meilong 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 itsk6je6 2ub ru.ct q0a5msicy(o) i;3he equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constfc *q(yf,b:o gant 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 is the period of oscillati *f,g cbyoq:f(on?

  A mass is attached to a spring of spring constant 60 N/m along a horizontaf-,f (eqd jl04wdlr a/l, frictionless surface. The spring is initially stretched by a del-l,w j/4qd0f (farforce 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 ituez8 r0h;:qon 5.0tez;qu: o8rh 0 s. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of ktys3wyou 8: ;g0k iu:spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m fru wyt3guiyo: s8kk;:0 om its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m-enj;e-bzm- d 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 total energy of je-dbmzen-- ;the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 .y:j m4wa)lf3:b vxcv J at this time. The mass is cut in half, and the system is again swy43ja cl . :fbvm)v:xet in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a x 8)m86 h rpemhmkr6h+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 equk h8r)hxrpe+6h6 mm8 milibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring cwfeg 3g eemqu s,.b:01onstant 20 N/m along a horizontal, frictionless surface. The object oscill.e 0,e efb:1 3gqmswugates 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 cfk4h8twt- + tqonstant 50 N/m and set into simplq fh4+tt8wt -ke 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 tp0nez m13w0h6o; kl xlhe 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 mechanical ex6 nkpwlol;zm 0 h0e13nergy of this system?

  A mass vibrates back and forth from the fre 9:w(s-jxi t, opa.suwe end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. W,.x:au( tjpss oww9-ihat is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm fu6e47nlgy -59 jpinuv/nbh+ogl4j163s s ni from its equilibrium position and released. A frequency of 4.0 Hz is observes uf561 g v/js un6l4ij74yipn9h nbge+l3no -d. What frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attachedt.w(xbl +y f6ib/ ,vvb to a spring of spring constant 10 N/m. The object is displaceiy +/ft(xvvb6 . bbl,wd 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 g 3ic4hy7rhn* 10 N/m. The object is displachcn*4 3gy 7hried 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, disphf* tfs)j: -vl0pbgt42th sb4laced slightly from its equilibrium position, and released. What is the frequency of is ) 4fbfj:*t0t 4blthp-vhsg2ts vibration?

  A mass is attached to a sps9id2-orz*;irojt:l nzn7d( v (,cf w ring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What z(;(i7 vr ld ojnitdsr29-*nf: , wzcois the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates with a vbr3vkgm 09lfq/v/ gue;fo,- mplitude of 8.0 cm at a frequency of 10 Hz and mass B vibratflvv-b9e0gq gk//m ,u3v rf; oes 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 equilibrium the mass stretches the ;/ff -y4krj hhspring 2.0 cm downward. The mass is thk/fh f-yrh4; jen 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 mac,p91cmn imxf v.: vmi5-har.ss 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 total energy ofv5x-m cm pi9h.n:.r,imcvf a1 the system.

  A 0.30-kg mass is susok7y rbu vo k1ao432ulq2)kf.pended on 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 aa3 ku47oqy2k)vfkloobu 2 r1. nd released from rest. Write down its equation of motion.

  An object in simple harmonic motion :j q-q2zvothm *(br d;h3hoa8 obeys the following position versus time equ hr(a3mz;t2qh8j-q:dvbo ho*ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following pos l.p3f 4w 0v.wauc oul0l rvf9;.vlh+iition versus time equcv3;u.lvl olhfawfur.pi0+ 40v.wl9 ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versu xka qm62+e;wks time equatqewk6 ;+mak 2xion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the fzt/iz4 zxk+c3g*tg4 free end of a spring executes simple harmonic motion according to the equat4/*3zfizt4z gkcx tg+ion $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to 1(01h2lxulzu yl c,slspring with a force constant of 20.0 N/m oscillates on a horu1 ys0l2l1(, zhxclul izontal, frictionless 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. (a) What -oq3sk mjh::yn,mi1h/ys nr pk k:3/iugr9i,are its frequency and periods3nm9 k/mru,k,kyp i1h:3igh/ o:i- nsrqyj: on Earth?

  A 3.00-kg pendulum is 28.84 m lo vj ;:e/kta:ep/wajd3ng. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What 6: b/hh h3gle q;y) tfm2ownc1is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period o /hqqj) tth)gy)l 3zz(;wm,mun the Eart ,uwqtj))l(m/y 3ghhmzz; q)t h?

  The pendulum of a grandfather clock is 1.0 m long. gad05snn7nq: zvw .g,What is its period on the Moon whg,q 5:7nnwnv0sd.zga ere the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached tob + ;bct/nmx;zi9r( svsl5 ur06 ssuh7 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 attachrs;hs0 5/c (muvnl;9zsu6bi 7xbsr+ ted to the string instead?

A simple pendulum consisting of a 20-g mass ha9y-ia wcz ,h13acy1jys initial angular displacement of 8.0e. It oscillatesa ich1,cy 1a9y-yzwj3 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 s nf93rxrts6uw 3 +cyb1*y:lwthe wave is 120 Hz. What is th1ry9ss+*r:cw xy63lbn wu3ft e amplitude?

  Figure 11-2 is a "snavkm)x; b8l8l- c :prbipshot" of a wave at a given time. The frequency of the wavei;:v xkb88-)lbp lrcm is 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given 3 n qg9brn9;wb0if4hrtime. The frequency of the wave is 120 Hz. What is the r99r ;nihfwn4qb 3g0b wave speed?

  What is the frequency of a wave whe;3qm9sz8:5l p qdr uy,n .gm6jj6-g 6oyhyzhich has a period of 6.00 ms?

  What is the period of a wav(oh56lzs a g7w6xpf+ue with a frequency of 1500 Hz?

  What is the wave speed if a wzkppwna 1 3 *5nzkcy,5ave has a frequency of 12 Hz and a wavelength of 3.0 c,za5wn k5p pzyn*k13 m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a freq budu z*mv5d,xdc-/u) uency of 12 zu5d,uu/ vdcx-*) b dmHz?

  What is the frequency of a 2.5 m wave traveling at 1400y3atdk( w r;z: m/s?

  A piano string of linear mass density 0.0050 kg/m is unde/t tjl-z 5 6wi6m5tuklr a tension of 1350 N. tzl56k-mlut/i t65 wj What is the wave speed?

  A string of linear density 6vdkt-f8r,qh. ah 8 z8x.0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse wavefxk.r8v8 -a 8d,thhqzs along the string?

A wave whose wavelength is 0.500 m i)j8er if*(, d j5;aw(my cqcdss traveling down a 500 m long wire whose totaccmsfyd, r )5qwj(*; j8 eia(dl 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 transhb00ypu l n iq)pr7.e(verse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a reso0nupp 7 bi()l0reyh q.nant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the fhusb3 a 9tc8u2ollowing frequencies can set the string into resonant vibratbau8t32 suhc 9ion?

  A stretched string is observed to have four equal segments inn).x r(6 qr et6b3cben a standing wave driven at a frequency of 480 Hz. x6e.neqb rc b()nt63rWhat 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 standin1ig 7wkd)fxj hldj/o6a (;tj 1g transverse wave pattern containing 3 loops. What frequency16lj f/ d;a g7kjij1tx)o(whd 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 its go y-bhh2 k+c4length be if its fundamental resonance frequency is 220 Hz bh-2hgky co4+?

  Find the first three harmonics of a string of linear mass ge;r +f8up6xh density 2.00 g/m and length 0.600 m when f86 re pu;+gxhit is subjected to tension of 50.0 N.

A string of length 2.5 m is fixeo. v s50g/ewxci lh-(ld at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is f5oxg c iw(s eh0ll-v./ormed.
(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.