The time for one cycle of a 8,nji:gsx3 iyre4 ww:r :ca:)nyib7 rperiodic process is called the

  For a periodic process, the number of cycles per unit time is h ytks*z498nj qaf(5ahe73ru called the

  For vibrational motion, the maximum displacement from thl r *0ppqsja*3e equilibrium point is csl* 3 0jqparp*alled the

  A mass on a spring undergoes SHM. When the mass is at its maximum displace+a bj x.zho9q6 *7awtement from equwajb*.x967qot +eazhilibrium, its instantaneous velocity

  A mass on a spring undergoes ci)ho4fub 4.e +de(t2p )/um vnrq nv7SHM. When the mass passes through the equilibrium position, its instevuf. v7) )hi+dq4ubn one(cp 2 /m4trantaneous velocity

  A mass on a spring undergoes Syk j6e,ouuy g9g+4;(tfn s d5jHM. When the mass is at maximum displacement from equilo d f 6jgegsu9 yk4;n(ut,j5+yibrium, its instantaneous acceleration

  A mass is attached to :96 1uukosn/vz wwx)tea76 f da vertical spring and bobs up and down between points A and B. Where is the mass located when iuat9 ne 1 wxu)/676woks v:zfdts kinetic energy is a minimum?

  A mass is attached to a vertical spkrnj-mw 8-klg4nz26 (,plcv xring and bobs up and down between points A and B. Wher gr8-l-,2cn( klpk6xwmn4j vz e is the mass located when its kinetic energy is a maximum?

  A mass is attached to a o3bldg,edn4)bxk-:w2j d4 oy vertical spring and bobs up and down between points A and B. Where is the mass located when its potential engo2b x3oj4end4y:d- wdb lk),ergy is a minimum?

  A mass is attached to a vertical spring and k+7kln.- a5: umbtxkm bobs up and down between points A and B. Wher.57kmlkkntx+u- a: b me is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces wuw/ n5 ct6g0mqsz kb7- .nf:kehat effect on the system'5:6-nkzcbq.gt /ken7 s fwm0u s mechanical energy?

  Doubling only the mass of a vnia6h xv5 bw5b/c )lh9ibrating mass-and-spring system produces what effect on the system's mechanical hiaw9b56 c h5lx v)b/nenergy?

  Doubling only the spring fc-ih2a1 o,f* hyrm7nconstant of a vibrating mass-and-spring system produces 2*aihffn-mycoh ,r7 1what effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Whereebxtgy,;;r6: wsuf j7 is thet7 gyjeb:;u x6 ,r;fsw period the greatest?

  Increasing the spring constant k of a mass-and-spring system cau0* ze0 c,unlhuses what kind of change in the resonant frequency of the system?* cuzue, ln00h (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of c g) k8kjh96ctlhange in the resonant frequency of the system? (Assume no change in the systemk 98c)tlj6hkg 's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind- h 7cjsbkz.0u.x2z md of change in the resonant frequency of the system? (Assume no other changes m2-szz7c0ubdxj.. kh 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 strs xs u rxxj,38gfrza//2we*z5ing of length L. For this system, when undergox/ax z 3*rrxs/ wusje25, z8gfing small oscillations

  When the mass of a simple pendulum is tripled, the time r 46zr k+fugd z*n9(ylrequired for one complete vib *4zlz 9 (fk+y6urrdngration

  Both pendulum A and B are 3.0 m long7tpk+v*wo0x9znfc)8mjvj4g hzk-x ( . The period of A is T. Pendulum A is twice as heavy as pendulum ogmkf-jxz+ 7xwj)kpz n*84(0vhtc9 v B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complp stvg8p ,/e6aete vibrat v gp68pet/a,sion increases by a factor of

  What happens to a simple pendulum's frequency if both its lengta3*ap c+hoisy* jw7t8h and mass are increasyj8hap itswo73 a*+ c*ed?

  Simple pendulum A swings back and forth at twice the frequen//ja tsvu 5i)mpc,8j p2 ebd3mcy of simple pendulum 5csvm2pu / )/jjd 8ei ,t3bpmaB. Which statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity/6)ja xxjo :wj(vd6c i is less than on Earth, the resonantjxx(j6)j:d/iacw6o v frequency of the pendulum will

  Curve A in Fig. 11-1 represetq jmr o,qmcu1 lz8 )nxd,5d**nts

  Curve B in Fig. 11-1 represenkja0./ t txe42tu ,rauts

  Curve C in Fig. 11-1 represm( je ad7z;d)vents

  For a forced vibration, the amplitude of vibration is found to depend on d* nnn smnin*1p .f+j;the

  In a wave, the maximum displacement of points of tht6o3;1.nzls4y pwof2b)6tgldc9zk qe wave from equilibrium is cakc.z9qfg413n;o s6 l t2zdyp lwt) ob6lled the wave's

  The distance between successive cres *b6 isgw1s-afts on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called th owz-e)nri*afcxm04d a y5a57 e wave'07za5-)oaeya d*xc5fr4 niwms

  For a wave, the frequency timesls6iz93iyy5 fg j*s3h the wavelength is the wave's

  The frequency of a wavdd88 t66qs wa.v;t .dt eift(ve increases. What happens to the distance between successive crests if the speed remainst8tdat;v sf6v i.e wq6(td 8.d constant?

  A wave moves on a string with wav -/+usaxig v( kf4m-nl:6 fub/wl u(iyelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the second+-iwm-a lu/kny fx4:(vliu 6s/bf (gu wave?

  Consider a traveling wave on a string of length L, mass M, and tensz x 1o:2sohdh:ij15 we51wedyion T. A standing wave is set up. Which of the following is true?:jwi 51y 2d1e1x:d he5w zsoho

  A string of mass m and length L is under tension T. The speed of xsu58g 1ek b9fa wave in the string is v. What will xueg8 5skbf91be 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. The speed of ,xc qesnr 47g1a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2Lx4ncs qger71 ,, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wave 4rkxsc7t 2cb4in the string i7ck2rct b 4sx4s v. What 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 an S wave travels through /a6 wo*3// nak eqxokathe Earth, the relative motion between ka *ax6wno o/qe3 /ak/the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a Pzo4)joi w7-vhy+e5l c wave travels through the Earth, the relative motion between the P wa iv4hjloe+ 7wyc)o -z5ve and the particles is

  The intensity of a wave isi;h.i j: mxjg;

  A wave pulse traveling to t .yx 27 );nvpegdoufd3wsq** ihe right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflectev osfyw)e3*x ;dd *7gq. piu2nd and transmitted pulses?

  Two wave pulses with equal positive amplitudes passpqfaec:ja0y bb.: s 5.dz8b1l each other on a string, one is traveling toward the right and the other fba0 dlqc.:5 epab:s1bz8y j. 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 string. The one traveling towa-nte5- vie krk 1c+q.crd the right has a positive amplitude, whi-k+ 1n5k.viee c-r cqtle 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 at both ends, occursf/upom v v k-iz1s7)2l when

  If one doubles the tension in a violin string, the fundamental frequency of tha jm1* k.ipo1 mpv0tn;r3f4 ulht string will increase bmpukhv1.0 fmpr 31jo*ni t4l ;y a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a w fue3g7li9x3l, tatkwm (2 0wmass of 0.600 kg is suspended from it?t e9twux,wf7km0(wgl3 li3a2

  A mass is attached to a spring of spring constant 60 N/m along z1wa9xw2oqnvtf lgz /3bv 3 ,+a horizontal, frictionless surface. The spring is initially so,l1wt g z3/afx+wz vnv392qbtretched 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 amplitude?

  A mass is attached to a spring of spring constant 60 N/m a20 7i6wze djno3k8ic3b at. hwlong 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 i.w 68d203 ohk et bzn3jwi7caoscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, y;kk1u e6u gv3frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and l u;gv kyuke136et 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 odr .weiqx* y(fy9g81 through 10 complete oscillations in 5.0 s 8yf*qro1 dwx.ie(9gy. What is the period?

  A mass vibrates backt-w9fq n) avv0 and forth from the free end of an ideal spring of spring constant 20 N/m0 v)faqn-9t vw with 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 spring constz/ny(1wq cnm2ant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple12q/(cywzmn n 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 wcinadwic 8.t ,tv )t.lz 5x))usn2e o)ith 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. Wh ae vt)xi)lu. ,n8 5)c) zt.ncd2wotsiat is the energy of the system now?

  A 0.50-kg mass is attached tier*eo6zq 73 r7qvr hnf- /:alo 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 7ae -nrqorh7li6v3fq*:r/ ezis the amplitude of vibration?

  A 0.50-kg mass is attaci ,d-*2zjxece hed to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object ose-cjx*2 id ,zecillates 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 con n148lgmqm 7rystant 50 N/m and set into simple harmonic motiomy48q r1gm7lnn 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 spring of spring conl95tlm9urc.af ) (4k: zv jnvlstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical lk)m 9 vv9(zt f:ln4jcal5 .urenergy of this system?

  A mass vibrates back and forth frso4 prm d t,8qvoym5wdr2 4s u)s+3pe7om the free 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 vibrating sdp5e o)dsr8qr ,msw y 2vpm4o37tu4+ mass?

  The mass of a mass-and-spring system is displaced 10 bt4d4pa2z6 dpcm from its equilibrium position and 2bdap d44tp6 zreleased. A frequency of 4.0 Hz is observed. What 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 sprvv 5 z+g),im xd2sc yvbh5)cr,e,tw2king of spring constant 10 N/m. The object is displcdr5mti v ,,v+kzbhxg5,v)y s2 wec) 2aced 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-foba,xei-6 ;c k6 uit a spring of spring constant 10 N/m. The object is-6ai ft oke;ciux6b -, 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 spring of spring co+iu 7u )fz(iynnstant 18 N/m, displaced slightly from its equilibrium position, and (i)zuuf+ i n7yreleased. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequencyp dlzvglx+7*g 5+8dlm rg7cn0 of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is n lr5g+ xd+7ggv pd0zml7c* 8lthe maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates wit9bxand;e w;v*xb5 s 4jh amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with ampliebx*5n;wj4b da9v ;sxtude 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 suspja1k1ie ni c-1ended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.01i-cie k1jna1 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a o;kelvf)* 1k6;ow bktspring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then ptfk1; *k lk;b6w oo)evulled an additional distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspendefs;0 ak1kqk rizd1o 1r1/) hjfd 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 and released from rest. Write down its equation of motionz01d/1k1f;qk fks)joi ha1rr .

  An object in simple harmonic motion obeys the following pocit(u/vqbqk h.4 4m5 wsition versus time equation:i/ t44 qubcw q5m(v.hk
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion wfjqp+0 9kg9c n q,zo(obeys the following position versus time equat cqznkgf,j( p99w+ 0qoion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the follp(c w;fabvp. 8owing position versus time equation.vap fw8pb ;c(:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spri7fbozo 5 ++eqzp r33n)s9 kzhfng executes simple harmonic motion according to thhsn)+eo3 + 59 kzfqzrpbof z37e 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 20.0 N;+ jd53h /hnrti+iyl u/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cmyi5n t+3 jh+luih /d;r. (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 freqi8 m,:l *a-s0qefhap te/4 pbouency and period on Earth 0fhe:o p84psael /q*tbmi,-a ?

  A 3.00-kg pendulum is 28.84 m long. Wn1-j+i; xwzqqia hv) 27ssmg* hat is its period on Earth?

  A pendulum has a period of 2.0 s on ldl9aygd17+5 m2pq x ik(sug8Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What 03gfafpmhp*,is its period on the Eart,g* fh0 fap3pmh?

  The pendulum of a grandfather clock is 1.0 m lo-hxrt-pj2d.qp1 8ejvcr l , :xng. What is its period on the Moon where the acceleratijt-x e8q.cv:lxp,-dhj r1 r2pon due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless st4/wvu.a81qa k3lvwy gring. 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 frequ8v 3l wk.gayw4q1/avuency 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 2u1m ;pb/n9hj ze7)o (u3ewy xh; 5wjsx0-g mass has initial angular displacement of 8.0e. It oscillates with a perioj) y h/hp9soen3uz bewm;5u xx;1(7wj 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" of0vc8oa 37b .gvh puph) a wave at a given time. The frequency of the wave is 120 Hz. What is the amplitude? chhau8 73.)gv0v popb

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency oi6zc,ljem 9 1e jl7j2jf the wave is 120 Hz. What is the j 6m7izjee9cljlj1 2,wavelength?

  Figure 11-2 is a "snapshot" of a wave at az va2x0 w,hor;ggd0 u;nhx)tt*v p-- v given time. The frequency of the wave is 120 Hz. What is the wave spee0xx p*vnv )2zh ,;t0augdwhvr- -to;gd?

  What is the frequency of a wave which0iqk eg7scu p3mo4 ; c9s(ii*k has a period of 6.00 ms?

  What is the period of lb(v 0gzrpp m3aa ;;;qa wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequenc xsi m3io;5qf7y of 12 Hz and a wavelength of 3.0 m?i;5xosmq f7 i3

  What is the velocity of a wave that has a wavelengto;furjw2l :r 7h of 3.0 m and a frequency of 7 2rwro:;julf12 Hz?

  What is the frequency of a 2.5 m wave traveling at 140*5ne4g:sr o:g8yag1o; qfhfm0 m/s?

  A piano string of linear mass densiil:8s.p tit r(ty 0.0050 kg/m is under a tension of 1350 N. What is t.(il8tip:sr the wave speed?

  A string of linear density 6.0 g/7avg pvwp9ov2 )4 mza(m is under a tension of 180 N. What is the velocity of propagation of transverse waves ala av7w42) g(vvo9ppzm ong the string?

A wave whose wavelength is 0 3,.kf dmj1rpa;r:dgk.500 m is traveling down a 500 m long wire whose total mass .d1:p3rfmj;k,kr agdis
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 tp50bz8x5x/q ku8zn /pb d u;dqransverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one bq8qd/5 8pbun;/p0u5 zxzxk dof the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequen3,.gmg fk8;5pln3wiu8kosg ( omqtbt2 nsb+,cy of 500 Hz, which one of the following frequencies can set the string into resos.pmgm+ gk ,tgi (s35o8wbk3n2t,unbl 8 ;qof nant vibration?

  A stretched string is observed to have four equal segments in a standing wave2 5s9*-f9 zyaubjkm9 yfwxa1q driven at a frequency of 480 Hz. What driving frequency will setyazq f5fxj uk1*29as9 w -m9yb up a standing wave with five equal segments?

  A string, fixed at both ends, vib1; rgqk vcj 0wr)b;ui6rates at a frequency of 12 Hz with a standing transverse wave pattern contain 0w;bj) kr r6ivq;guc1ing 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(lt k4adrho6nrn9 s*, under a tension of 20 N. What should its length be if its o n(,*srk na6rd9thl4fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m aqcw ,t *74dyplnd length 0.l t*y,4dqpwc7 600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed by4a,2g qqkjg ke2/5j .u3oohipn +p/at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five l,jiuy/k.+bog qe 3gop4pn j52 2a/khqoops 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.