The time for one cycle of a pj) bwa 4nii6hq l9.eq-lq73 vkeriodic process is called the

  For a periodic process, the number of cycles pcw 5sl4lv7lfps g+-5ber unit time is called the

  For vibrational motion, the maximum displacement from the equil+1zm7kc h1o4.witugj ibrium point is called u14ogzhtj cik 7.wm+1the

  A mass on a spring undergoes SHM. When the mass is at its maximum dis;rrtl9qg .4 nuplacement from equilibrium, its instantaneous vel.r;94lurnqt gocity

  A mass on a spring undergoes SHM. W 4(h 57pai.eywg:gozk hen the mass passes through the equilibrium position, its instantaneous velocity7(azpow:i4 g5.eh gky

  A mass on a spring undergoes SHM. When the mass is at maximuwh s5m.r(j sjpwmmcok*) 3 1l;m displacement from equilibrium, its instantaneous accelerationsor) 1m3 mlp5;.jh(*kwsmj wc

  A mass is attached to a vertical sprif8(q 3 mi9.hfu7u iooao3le7ing and bobs up and down between points A and B. Where is the mass located uifa37lo8i.3 oou(mfhq7e i 9 when its kinetic energy is a minimum?

  A mass is attached to a vertic9 ce k5cy oy1ak9u-ri)al spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maximumy1oick-ck )y9e 5r u9a?

  A mass is attached to a vertical spring and bobs up and down between pointpsecyqmk ,j4 6jt)ks (l0;ufq76 wmq 0s A and B. Wq(0ujkpylesfmt) 6;qwks4q0,m c j 67here is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pointj5i2/ vsp ;qrv tco4gco- vt 8ct.w+/bs A and B. Where is the mass located when its potential energ tb.5ov/jt8ct ov-+/cgpq4wr ivcs;2 y is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system producesihys:g 7dim4f-5;dtt )gls*e what effect on the system's melhf)sm sd;d4t 7yg :-ie*i5 gtchanical energy?

  Doubling only the mass of a vibrating mass-and-spring syste(z 2b;ptou tap.f0n/ nu.5p xum produces what effect on the systemuxa/.f ;pttz(2nu nu 0pobp.5's mechanical energy?

  Doubling only the spring constant of a vib7+e;vhtd0i ( j(ite rhrating mass-and-spring system produces what effect on tvt7;i 0t+e(rihd e (jhhe system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth z8cbs4sy*mqt6j 6 z.j and on the Moon. Where is the perim j.4b6yc *6szzt jq8sod the greatest?

  Increasing the spring constant k od+dty;gf;;8xbn( 6ujxn 7zg vf a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no changejy(dxd;76 z8nnvfgtu ;gb ;+x in the system's mass m.)

  Increasing the mass M of a mass-and-spring sysm/ a .j1b1qzn 9:p zewzuaj7k+tem causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring mzqwj. p : aubza911+n/jekz7constant k.)

  Increasing the amplitude of a mass-and-spring system causes wsd,dsq8ec,m6rj fu l;lu 5d8* hat kind of change in the resonant frequency of the system? ,uj sdscdm f d5*lr6u8;l8e,q (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 oy op6v8nw(;f j 5k 1rxcj9hs6tf length L. For this system, when ; kh5crwsf1xp6t n(j6jyvo8 9undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required4sq mjsmrv- +q;,c g9w for one complete mscg, 4qw s-9mjr+v;qvibration

  Both pendulum A and B are 3.0 m long. The period o u v62z;okua- hc(n4zif A is T. Pendulum A is twice as heavy as pendulum B. What is tv6a4u2-zz ;uchoni(khe period of B?

  When the length of a4 o gwv9ql)pmb;b3q8j simple pendulum is tripled, the time for one complete vibration increases by9jqq 8bowbmv;3 pgl) 4 a factor of

  What happens to a simple pendulum's frequency iz(0s 3 lj(snk5dl-h g4+unobpf both its length and mass are increa(j5+nsp 4 usb og nh-d3lzl0(ksed?

  Simple pendulum A swingnhrb zuqnb w37ep +04)s back and forth at twice the frequency of simple pendulum B. Which statewbp e +q4bn nu70zr3)hment is correct?

  If you take a given pendulum to the Moon, where the acceleration of gr2dlxfdo( gy;he as+fw -a 3-q,avity is leqdfs e,-2ag3xlh-a;dw o(+ y fss than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 re o0h6-1(v 0 ujdiimtccpresents

  Curve B in Fig. 11-1 reprfw:ryy (2l2urxm 3bq9a+at8 qesents

  Curve C in Fig. 11-1 representsiv4z:wk4l h9 ,59pxxe oy7 rik

  For a forced vibration, the amplitude of vibrat6f 48wbm7f9xevon 78uon ux s*ion is found to depend on the

  In a wave, the maximu7rbg qh.ajwlnk zgjj4 )8;+5 xm displacement of points of the wave from equilibrium is called the wh g)x7.b;wjl nrk5j 8qgzj +a4ave's

  The distance between successive crests on a, sxqr(z,1r2ik nhz*o wave is called the wave's

  The number of crests o39k 1j f ol;h6asyvl;tf a wave passing a point per unit time is called the wave'6h9f1 jo3;ltkv; aylss

  For a wave, the frequency times the wavelength is them9 w )b)kff6gudam4e / wave's

  The frequency of a wave increases. What happens to the distan484)sqd+8wmh5 8gdh whf xdtqce between successive crests if the sp4q s gh4h qwd8fwd58xh m)8dt+eed remains constant?

  A wave moves on a string with wavelength l and frequency 67z vzsv)q6y hf. A second wave on the same string has wavelength 2l and travels with the same velocitz q7vh66vzsy)y. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass Mp ete1d:404 sizs+y5e9 p pvjg, and tension T. A standing wavep5psd9 eg 1e+ptji seyz4 0:4v is set up. Which of the following is true?

  A string of mass m and length L ibb5kub3x qz3.m2vui ) s 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 is increased to 2m, with no chanb3 5 3.u ikbq)2ubmvxzge in length?

  A string of mass m a *m/e ivsfzpi6w q*0+znd 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 length fzq w06i esp*+ /ivm*zis increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wave ivd b se4;,0wr *o7yw. yaw9hxdn the string is v. What ,4ywswevr;hdo7wa9y * xd 0.b will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As a :,wgy40bkia0tl u o*qn S wave travels through the Earth, the relative motion between the S wave and the particl* t0y0uawqik b:l4go,es is

  In seismology, the P wave e+- 0h:khn 6 vi9vrlhwr2ps: his a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the particl9wspr+6vke n2l:h 0 rhv-: ihhes is

  The intensity of a wave cx+.xjihb1e. is

  A wave pulse traveling to the right along a thin cord reaches a discontinuity6v- ;cq smketodx6 : m/y0qn8n whk;mn 0yect:n8x o6 qd/qm 6-vsere the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass eacqdj36hfv8. b w k*uls74 h1xksh other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space at the same kujh .wx v3s6k8bh1 sd7l*qf 4time

  Two wave pulses pass each other on a string. The one traveling toward mgys6y *jk,rfj(o + 2(g-soce 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 r,ke6m+f2gj*- o(j c(ysrg s oyegion of space at the same time

  Resonance in a system, such as a string fixed atdq6e (ufv0qmgj*8+q-ptiu 2j both ends, occurs when

  If one doubles the tension in ;xe z 8ontd : ;ieg(26u,hnmhl x0po:ma violin string, the fundamental frequency of that string will increase by a factor odm0 :u elhno(t2mnh;6g;8x,epxzi o: f

  What is the spring constant of a spring that stretches 2.00 cm whbt1ry;sqv** n en a mass of 0.600 kg is suspended from*;bnry*v1 t qs it?

  A mass is attached to a spring of spring constant 60 N/m a55qi7lqaoqsdbor8z)i f6 w ,7long 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 6,d7f a)iqwrq8q7zb5 s loi5omass 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/m 2x+ hds t 5k9:t*jf gs(4fkztealong a horizontal, frictionless surface. The spring is initially stretched by (94sfzftt5 2ekx:t d+hg*k s ja 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 ct mw+afohl2f.6n.;f :z l*nvaonstant 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 pwfl6a+ ntn *.m fl;:.ofzav 2hosition when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes58) (ne4dx y +menldww through 10 complete oscillations in 5.ewnwned( 4 )mdl8+y5x0 s. What is the period?

  A mass vibrates back and forth from the free end of an ide7c b:bdl ncal*l45dj )al spring of 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 frol dc:nldb5ba) l74*cj m its equilibrium position?

  A 0.50-kg mass is attached to a spring of sw dy 0b7ueko64pring 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 posi 6oe4yk7 0wdbution. What is the total energy of the system?

  A mass undergoes SHM unocobm.. *8xe ;7 /-swiwkqpwith amplitude of 4 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. What is the energy of tp co.xkiwbq.n8w / ues;o7 *m-he system now?

  A 0.50-kg mass is attached to a spring of sprin1idnid -+19u.yvbi ahg constant 20 N/m along a horizontal, frictionless surface. The object oscilib9h+ . dav-nyi iu11dlates 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 allcg-kqyx/ fyj sb0.k31w; pxbn 4s) 4pong a horizontal, frictionless surface skw jsx)4y1kfypqbn b /;0p glx4c-3.. 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 sprbv81nnib 1v ew/c,:vling constant 50 N/m and set intovl1wibv,c:ve 8n 1nb/ 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 horizo j+ t-nlz1o47omgzkg4wv1k:bf qm1ne2(vd 7qntal spring of spring constant 50 N/m and se 11 m- gwnq+7:g4k2 bkt(zqezvmvf jl41odn7ot 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 tzkpc/j tn;.6r3md) q hl( s:wbhe free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinnm ;/kpd3s 6 zl hrbq.jc:t)w(etic energy of this vibrating mass?

  The mass of a mass-and-spring system is displacexvfqm8; i) v*mj9 agl2bkqtti/ 6+h/ud 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequeik*u tatm/96xq;v)f8 gmbq+ij /2vlhncy would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to awi* 0-kolekrih;.+emhp )uyh+- dt d, spring of spring constant 10 N/m. The object is displac erii.-pdh*kt0e d)+hu+lh y;omwk, -ed by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attnf- uk8ywxof nbl5 +,)ached to a spring of spring constant 10 N/m. The object is displac,)+kubxn8f5 n lw-oyfed 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 6i:rnq kc(g ;na spring of spring constant 18 N/m, displaced slightly from its equilibrium;nr q6ic(k ng: position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a freque6k0pyma x9 +dfk:lu /qncy of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocitdf9qula/xkk y+0p m6:y attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates w au8 :x rc*k9d ju6c4a0ju;alxith amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with ujukcd:lx8xara4* ac09u6j; 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. Id5c -pyq3hqk5n equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm doqydp5q5- h ck3wn and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In eq6jpkeg:za7 * nuilibrium 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 tpaezn: *6gj7 khe total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the masxczy p4n vd,g7d7t3 c:s stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down an: ,cng4pdv7ztyd 3 7xcd released from rest. Write down its equation of motion.

  An object in simple harmonic motion g4; 3o nx5lm oak1pl8aobeys the following position versus time equati3xa; l o5p l8m1nakgo4on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position ver* ep( :8gemo c8mpyzkpaf;z-0sus time equa8;a -ymz (zepk*f0mc8p:opeg tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following posicrx w1o 5sa v20i +h6.io+xwlh-y a7nition versus time equ.6 0cw-1hs hoi7n5 iawr 2a++i loxxyvation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple 6u8ywldpc)ma6a e +; uharmonic motion accoly+6 ;wuea6)uc8pmadrding to the equation $y = 0.50 \; \sin (18\pi \times t)$ 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 2 quf7b5(h+/ yz;hjjz)e 6roae 0.0 N/m oscillates on a horizontal,br;6/he)zhy+ q zaj(ejo75fu 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 sgneh (zm 6/bsx*(ty) are its frequency and period on Ear)es(xbzt/ygm*(nh6 s th?

  A 3.00-kg pendulum is 28.84 m long. What is its q yc1swrp 3ks6/+j6nf j/:wrrperiod on Earth?

  A pendulum has a period of 2.0 s on Earth. What iodgs)h(;t zi7s,mp5rn0 w:7(quv vrwonh /o .s its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its perioxnh (d6:zxwaxp, x jq, ;6wgq /1hi6cpd on the Earthpz:xaqc/i, dh6 x1 (6h6,wxj;gpn wxq ?

  The pendulum of a grandfather clock is 1.0 m long. What is its periorvxsg a1y04;,djt rg 8d on the Moa80 4xrv,r;ygg t j1dson where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a masrq7.5;bb(d i 5s,-m okgsh miwsless string. When the m7;m5 m(bsir gd i,obhsw.5k-q ass 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 the string instead?

A simple pendulum consis)h6:iji )k8( qcbzxn7x hug 8oting of a 20-g mass has initial angular displacement of 8.0e. It oznij:)8(ixhq7 oc68khb uxg ) scillates 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 h9i.tx,asy-0i t2mco. The frequency of the wave is 120 Hz. What is thtcm2ix 0 9s, thio-y.ae amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequencyyvbkpubp/a +-, j7p a4;e*r.g - vlnvw of the wave is 120 Hz. What is the*vnvba4wr; l-bja ,-ykg. 7u p /ep+pv wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequto( i3 ;.j 0w39tg*gafruyyccency of the wave is 120 Hz. What is the fg9 3ru0ty*.toi c ;3 wgcj(yawave speed?

  What is the frequency of a wave whignf5,txlm zylv v2-..ch has a period of 6.00 ms?

  What is the period of a wave with a frequency /e +ilca h99l fk8ltlre)xq9e h q-e()of 1500 Hz?

  What is the wave speed if a wa5p 3c8bal4q3igd4 sfave has a frequency of 12 Hz and a wavelength of 3.0 b3d i34p8sqa4cgal5f m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a fz1vb4gh z5h wv z+- 3hocc.i-yrequency of 1hoz3v- whb h.5 -4zivyzgc+ c12 Hz?

  What is the frequency of a 2.5 m wave traveling at 1 .v9s;myi vj31 n0ngmp400 m/s?

  A piano string of linear mo*iz:gz (u b 0bb/msp1ass density 0.0050 kg/m is under a tension of 1350 N. What is the wavbg1/mzbu: posb( 0z* ie speed?

  A string of linear density 6.0 gthv iyh:imp)0wl x,1ra+t byagq)7;*/m is under a tension of 180 N. What is the velocity of propagation of transverse waves alo;p0r)y)w m , *:t7hgl axyqib1t+hiavng the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m lonl+d j:ahbcx5zi8xxgj0d3(;j g wire whose totalxdji+0bx;: 5xchjg 3( 8a zjdl 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 fixe irfy6m08mh,d d at both ends is 2m,8yd i6hfmr 000 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 folmm gjeu t1k72*lowing frequencies can set th2*ktm emjg71ue string into resonant vibration?

  A stretched string is observed to have four equal segments zpibm0 +auy5 7in a standing wave driven at a frepz+7mi y50ua bquency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 128h we bm(+z41t 4z ,m/x)cjnwjakmr3*k:ut su Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wa*:rk4n jkuw4sza)t3wm( zmb +e mx8j1,hu/ctve pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20my c v 2smxc91r2)c0r2y;okts +ojwp+ N. What should its length be if its fundamentasrm y 2)2cpjo xrco sk+9;01cv2wt+ myl resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linm,ecqqbs-1fs2rsh x *kn- 5u(ear mass density 2.00 g/m and length 0.600 m when it is subsqebc n,m xqukr-* 25(hs- s1fjected to tension of 50.0 N.

A string of length 22e3sst6orq tifro2;t5*ob u ..5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing waveeq so5si;t22.r tfu3rbtoo *6 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.