The time for one cycle of a periodic vf6xmlf2ztb.,qrj/w7/+eaj4h / i mdprocess is called the

  For a periodic proceslg697ccusc y4g3e z0es, the number of cycles per unit time is called the

  For vibrational motion, the maximum dispaec1 i049yi ialacement from the equilibrium point is calle1aci0iy4a i e9d the

  A mass on a spring undergoe2dh hruul9*dny; 71kcs SHM. When the mass is at its maximum displacement from equilibrium, its instantaneound *uc l9hu2kd;7yrh1s velocity

  A mass on a spring undergoes SHM. When the mass passes through the equiybw* 0qtwmgoq86yw+ 1 librium position, its instantaneous velocitywq8 wwb y6q1g+m0o*ty

  A mass on a spring undergoes SHM. When tt qg)uni 2db *)guq60ws3ywl8kt a1 j7he mass is at maximum displacement from equilibrium, its instantad wk gqu ) *qn8gb7ayi1t3)lj2 06uwstneous acceleration

  A mass is attached to a vertigouu)n/ ajj 44cal spring and bobs up and down between points A and B. Where is the )u oan4/ugj4 jmass located when its kinetic energy is a minimum?

  A mass is attached to a vert3oe iq+a3myqmx;9+z2n/v d ucical spring and bobs up and down between points A and B. Where is the masdv+xun;q 9iea +z 3 y/mcq23oms located when its kinetic energy is a maximum?

  A mass is attached to h w;bf) bj)ypos(l20la vertical spring and bobs up and down between points A and B. Where is the mass located when its pws yh p0;l)lbob)j( f2otential energy is a minimum?

  A mass is attached to a vertical spring an p b0f+fu/)pxbd bobs up and down between points A and B. Wh)b/0p xff+ub pere is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces 9 -9imbiyjnj(what effect on the system's mechanic 9iyn9jm-b (jial energy?

  Doubling only the mass of a vibrating mass-and-spring system produces whatf31i+v,eb4l t */gbc pisna-2q(tg nv effect on the system's mechanf4tg* nq 1n2,evcpi a i(btl/bv+ 3sg-ical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system prw(w+/dta* xq(q eqhh* oduces what effect on the+w( da*(wqq et*x/qhh system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Wm ;nlb 0e,*x7p yfc(pchere is the period the grnb xcp(pe 7m,c0f;y* leatest?

  Increasing the spring constant k of a mass-and-spring system ca+k to8ew2h g9q 7bpec1uses what kind of change in the resonant frequency of the system? (Assume no change in the systew7 8c9h+ etkog2e1bp qm's mass m.)

  Increasing the mass M of a mass-and-spring system causes what k u8k;ep4zgq a/ind of change in the resonant frequency of the sysz 84;pqge /kautem? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of au la3f d7gy 1ojzl;)+eii 5p9q mass-and-spring system causes what kind of change in the resonant frequency of t;uagi jifdl7 5qpeyz1+o3l9 )he 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 of lengthf-r6 l n2 (xorklnf j0l2:gg73(kttjq L. For this system, when o q f n6n:g3( 27(0jf-rglltrxj2ktkl undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one comk r qygi136kq y11wb;hl/opv,plete vikrq;ykbi /6l3 o q11 ,wyphg1vbration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twice i/q 8l7: sjffhaxv( *was heavy as pendulum B. hjsfv/i:qx(waf * 78l What is the period of B?

  When the length of a simple pendulum is tripled, the time fo;iey 4uo4ospqf g-0;f r one complete vibration increases bp ;4 fqueoi;f -4o0sygy a factor of

  What happens to a simple pendulum'sk1g ox w4 exaz+*l7v1,mjqot7+qk+ l g frequency if both its length and mass are increasedmz+v1lkjx, 7eax7oql wgq4ok +g*1+t?

  Simple pendulum A swings back and forth at twice the frequency oz x7tt62v.p5n kad/d3c.et l+f-zic d f simple pendulum B. i6lcfdnd.7c2/z+k pt5d3tt z - ae.xvWhich statement is correct?

  If you take a given pendulum to the Moon, where the accelerationw1u i:zez2v u* of gravity is less than on Earth, the resonant frequene:iu2zv *uw1 zcy of the pendulum will

  Curve A in Fig. 11-1 rec kyjqzh mh-km- 2jct6.w:z::presents

  Curve B in Fig. 11-1 repkos/./jsgcyazv5d 6- pgl:6t resents

  Curve C in Fig. 11-1 relwitda+ ))xv0nx s2n,presents

  For a forced vibration, the amplitude of vibration is -r qt- t5x65b bgbpg4gfound to depend on the

  In a wave, the maximum a9ur/dnj sf:6 displacement of points of the wave from equilibrium is call/ rasu:9d6njfed the wave's

  The distance between su 1h)5cfsxq tw7ccessive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time d3.u+tmt; selis called the wave'sedl.;mu+t 3t s

  For a wave, the frequency times the wavelength is the wave's3dqe4p4jk pv5

  The frequency of a wave increases. Whlge3e,ium r.m0v4 9 ycgz,*txat happens to the distance between successive crests if the spemelc y 9em.tg,z3 g0u*4ixv ,red remains constant?

  A wave moves on a string wkid7es5k037 9 ,njxh9hy ieuxith wavelength l and frequency f. A second wave on the same string has wavelength 2l k75e7nk9,xe0xijy3hus9i hd and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tea-t7x t tj;:hvnsion T. A standing wave is set up. Which of the followingtv:hxtj; - t7a is true?

  A string of mass m and length L is under tension T-wqk 1xs2 fr-15qwd sb. The speed of a wave in the string is v. What will bew5kx1qfs-r s -q21wd b the speed of a wave 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 tension T.*9e1,dqq v-gs ) ooccf The speed of a wave in the string is v. What will be the speed of a wave in the string ifc cog1deosv*- fq)q9, the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The8lfjg/tq)2 ykwo e(y- speed of a wave in the string is v. What will be the speed of a wave in the stoykj -ey)tq28g wl f/(ring if the tension is increased to 2T?

  In seismology, the S ws88cb5o , o*be6qqy9zmsv + cpave is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the part8py+8q zc5ov*eoss9b,m bc q 6icles is

  In seismology, the P wavxu6x5ri( )x ()jpiyzpd3yd-s e is a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the pa)s5xyxi-z6yrp3 j(dpd i(ux) rticles is

  The intensity of a wavex :.u:w, a jn7k0dibdpo83wc e is

  A wave pulse traveling to the right v3gr 1 - 8l gp2(:sjbto/xfnu-+:rmqyv;yovw along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pu2(jroo / gxw 3;sfuvtmy8+-gyq 1v:bpr:-vn llses?

  Two wave pulses with equal positive amplitude,qu(25feaix8i -hc2 wg tqi; es pass each other on a string, one is traveling toward the right and the o5f,e-qi ;qg822 etiu(xwciah ther 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 stzdo9 5orzvq258l)eo ue p,u(e ring. 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 the same tim5) 2dq pzl5our u9zoeo,8 ve(ee

  Resonance in a system, suchyliv--(f xo3o+7 c 9,gtva nagor)6i1em7p ai as a string fixed at both ends, occurs when

  If one doubles the tension in a violin str-9n db9fiz kke 9ne-8, ei3wbqing, the fundamental frequency of that string will increase3b i9k8qek iez9w- df,enbn-9 by a factor of

  What is the spring constanqq 0+wrokvk: hwv1s++t of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended wk+1s:qv++ h rwqokv 0from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, y lfri.wla; gxfd3cq: e.,a74 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 pos q:clyfdga7xr ;.eiw43 l.,faition when it is oscillating. What is the amplitude?

  A mass is attached to m/l 8+5 lp zq pz2hlgimq/ jahi;9q)7mi9 vd-ja spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring ij 9ii j)zph; p 9/h8/mqv2qgazdmlq75lm+-lis 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 oscillation?

  A mass is attached to a sprin0fh; u .*7efn:zls yvpg 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 to its equilibrium position:fnf0 yv*7husepz l. ; when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It x2j/ fx5 8 k aph)z8/ybtagkw2 u0gyi0goes through 10 complete oscillations in 5.0 s. What is the period?w/ fkg8/zuh52axa kb0j8)i gp0y x2ty

  A mass vibrates back and forth from the (td oa ckb182vfree end of an ideal spring of spring constant 20 N/m with an ampoc8kab (d1tv2litude 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 springd r zgq07i;lq5 constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simplz0q ;i rgql75de 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 amplitude of 4 cm. The energy is 8.0 J at tn a 7bx hl*q,1pq*f,fy es9uh/his time. The mass is cut in half, and the system is again set in motion with amplitude 4.0qq p fhl* xsnf,9/a7,*bu1hye cm. What is the energy of the system now?

  A 0.50-kg mass is attacmhw jhl3,dj a11g2a* ched 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/s1,j1 h2aac j gdh3m*wl at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attacoc5+jssd 5bk+t uf4p(hed to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object os+5f b dp(sck5 4ojus+tcillates 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 atta: tv/dkuqm fi:05wx; yyg9z :fched 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 mechanical em 0xy:gq;f9difu/: 5kw vt yz:nergy of this system?

  A 2.0-kg mass is attallv/be t8iqtee*3* e. ched 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 mechanical energy .ebqete/v *li8t3*el of this system?

  A mass vibrates back and forth from the freq)ag;*ouzhoc bkf nhx-/* e10e end of 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 vibratinobqc *h0hfzk)en/*ux 1aog ; -g mass?

  The mass of a mass-and-spring system is displa8 vxor,cy )2peh36zff ced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be obse)f 6e3xz2o vcyfhr ,8prved if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring ofj1je :z6tsq 4i spring constant 10 N/m. The object is dij ez:1ijqt46s splaced 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 y9 plht i7e2ki w1m47ispring of spring constant 10 N/m. The object is displamiiyph72tw 1i4e7k 9lced 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, displacedn t;mpr pba4ym6dk (f2 .hjdid(z+h., slightly from its equilibrium position, and released. What is4(da;p hm jipddrznkfm( t.b ,2y6.h + the frequency of its vibration?

  A mass is attached to a spring. It o:;uxbit g j.:yscillates at a frequency of 1.27 Hz when displaced;jb.yt: ugi x: a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mrv.ov*ng f,t/i3p7w o ass A vibrates with amplitude 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 noi tf7/vrvwg,p*3.o 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 equilibriuvl xmtnc(rb*u yef4 .pc55 w9+m the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance o 5c*mxp(yufv9 5elwrn4 tbc+.f 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spri 40 gdrf g2iwfmf;wt-5ng. 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 total energy of the systetfd2r0gg m-w;w45 f fim.

  A 0.30-kg mass is suspended on a spring. In 4p yr6ve3gzf *d gkg7/equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of d3vfe4p6 zg*g/k7gry1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple har rj enqwz+jw+k27 .k5fmonic motion obeys the following position versus time equatwf.q n++25er jw7zk jkion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position vers-i awy .w 4eefjba461sus time equation:aj.6i yefwae-4 4wbs1
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic moti qp z.a5h7s6sn vx(rl1g- ;udmon obeys the following position versus time equam 5;7gszupnd-(q.srv6xl ah1 tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a sprbb-) vvzcwb40: umos+ing executes simple harmonic motion according to the e : m 4bobw-v)cbuz+0svquation $y = 0.50 \; \sin (18\pi \times t)$ 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 cf *ff5hau5qx mg 0l*sv(: 25hylr2nxyonstant of 20.0 N/m oscillates on lux *5nf52:0r( vf gm*l5ayxhhy 2sqfa horizontal, 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 are its frequency and , cci7g6t37 m(k* :knkyvnuofperiod onot3ny* m7:vc ( kk7g ki,6ufcn Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Ea15ukjr.zu +bt rth?

  A pendulum has a period of 2.0 s on Earth. What is its fffl :ff(v vnl3+t; w4+pxh 9blength?

  The pendulum of a gra-cth;+e 8bqdc/1ia; i wwioef0n+xl/ndfather clock is 1.0 m long. What is its period on the Eaww;xdlbf e tini 8c/1-0ciq+ e/h+a;orth?

  The pendulum of a grandfaa-iqokdm /u*. ther clock is 1.0 m long. What is its period on the Moon where the acceleration due to gravity is*.muqk diao/- only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless r3om2j54 ryjgstring. When the mass is displaceyr2jj g5o r3m4d 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 consistijpiu (oj,*iqwk(1f0.i: qqmhng of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a perioqufm q*w(iijk1:ohpq,0. j i(d 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 k sv:,twzv yt9(+m1deat a given time. The frequency of the wave is 120 Hz. What is the ampmdk+9,tzw1 (tvy vse:litude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wax( po e9n0c1zgve is 12zg c 09x(e1nop0 Hz. What is the wavelength?

  Figure 11-2 is a "snapsl-p5hs :s(tt6 qpdjg-hot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wa : (-6pdp5htt-gjqslsve speed?

  What is the frequency of a wave wnv ;ry u:z06vwhich has a period of 6.00 ms?

  What is the period of a wave with )i2qxe1 rl. coa frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength qxv(p c13ght5of 3.0 35tq(cpgxhv1 m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a/i/ ,xq*nq buz) tg6ai frequency of 12 Hzti ub/ia/,)gnz6q xq*?

  What is the frequency of a 2.5 m wave traveling at 14n fize2/fct (xf4ie9;00 m/s?

  A piano string of linear mass densityhy7nqof t55 u(l j,cee.j0u 0 o /z8zk2(yfauc 0.0050 kg/m is under a tension of 1350 N. What is thecj kyu0(h( u.y/2l z70c 5euf eo8joaz,tnqf5 wave speed?

  A string of linear density 6.0 g/m is under a tension e0 pop,7f cv ;x)n*whaph b.l9of 180 N. What is the velocity of pr,0o*v9 np;p .)f bhaelwhcpx7 opagation of transverse waves along the string?

A wave whose wavelength is civvlo;i m 9g/y:wsn m5yl8510.500 m is traveling down a 500 m long wire whose total massgm5l8l9 :si wmv;51i vycn/ oy 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 l3o4sbk xkfrpx7sso)7yr1g 1or9-hn 2ong string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of this sr3g -7 o1x 1 r9fr sos4knp2xhoybk)7string?

  If a guitar string has adk vch26xaopz )/r4)p fundamental frequency of 500 Hz, which one of the following frequencies can set th6k2a r )pzpdv chxo/4)e string into resonant vibration?

  A stretched string is observed to b - ynzt1 m,elm9n+f+qhave four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with y + tmf-bnq,lmn1ez+ 9five equal segments?

  A string, fixed at both ends, vibrates at pdfz2 yfj6y/x o.,,wu a frequency of 12 Hz with a standing transverse wave pattern conta,j y2 wf y/zxdpufo.,6ining 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 2cezk.)j y a3d60 N. What should its length be if its fundamental resonance freque jk3eza6).c ydncy is 220 Hz?

  Find the first three harmonics of a gl/z21suz fm/q ;i4wo string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension zf/q2is4;owz mg1u l/ of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the scfj we.0+* tq-27 ivoq bc2dvztring vibrates at a frequency of 85 Hz, a standing wave with five loops is formebwj2z2i q.cvfvq-dot*e7+ c0d.
(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.