The time for one cycle of a periodic pr 4ly adm ju9,b21yrh0rjpsd,) ocess is called the

  For a periodic process, the numbe85s rujm1* co.q fyll4r of cycles per unit time is called the

  For vibrational motion, the maximum-bpa4eagg (-fma: +3junc,ip displacement from the equilibrium point is called theju3-:a gcb4mep- i a,gap nf(+

  A mass on a spring undergoes SHM. When the mass is at its maxim;xsz./k-;iw- .bpxwyncl *by(xk:cz kp5 tf9um displacement from equilibrium, its*pyx:n5/;k 9txk c.b zkl;(yp--i.c wxz swbf instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through theef)t2 lb s: os1.n5wbg8 ky+1hhyihb- equilibrium position, its instantbtwe 1sshny- ky.g hb1i+ b5:h o8l)f2aneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement+ une-a(jdzbvhh, 1 i9 from equilibrium, its ins u+h1jh nbia ev9,z-d(tantaneous acceleration

  A mass is attached to a vertical spring and bobs up and dowi ;qyj- c3j1ss no6/kpd5 xgi4n between points A and B1jsxpi k; jng45dsq 3-6iy /co. Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to fu;q (2uuusgjt dv05q cw87+ia vertical spring and bobs up and down between points A and B. Where is the mass located when its kineti; 8jqdsgu uv5+u(iqfc7 u 0t2wc energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between d/kafrhp/*o5points A and B. Where is the mass located whedr/k5p f*aho/ n its potential energy is a minimum?

  A mass is attached to a vertical spring and1 i,weyv 5m1ulu:k 6kpki r:trnc7.b/ bobs up and down between points A and B. Where is the mass locakirnkklvc r1e6/m.yb7p w :t1i ,5:uuted when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spkxv0*9ynm xwczd(.z m-t23 l iring system produces what effect on thw*i mk2 -mv9xcdzlnzy3. 0tx(e system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what efto():+jz qtw7l4 hiv +l/dmgtfect on the system's mechanical energtohgtqlt+ :/7)zl (dvm i4j+ wy?

  Doubling only the spring constant of a vibrating mass-and-spring systtwie33 . 7k5f,bl (knqrgzkg:j ol/-iem produces what effect on the system's mechanicnkk3 j/-lf,: i .53btgor(wkzg iqel7al energy?

  A mass oscillates on the end of 9v;oighrwd tpa-07 ao,c4p5 ea spring, both on Earth and on the Moon. Where is the 5etp-i4r0oha7 vwgpa,d;9 coperiod the greatest?

  Increasing the spring constant k of a mass-and-spring system causes wt: ymjc0 2brg*6yb.x k7 cf;lthat kind of change iyt;mrx7y tclg:0* c j.k2b6 bfn the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes whl7 f4h x *jdeff4-z;obat kind of change in the re* o7;lfb4 fzjex fh4d-sonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes kwy9za9lv ip.0z x20pwhat kind of change in the resonant frequ9y9 0z.pla0iw pxzkv2ency 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 attacheb,bq2zz* nt 5zd to a weightless string of length L. For 2bt zqbzz*,n5this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one coobmrs( zl4kwgzt;v :s8* d4+gmplete br;dzt 8l:zv(4 k gos*wm s4+gvibration

  Both pendulum A and B are 3.0 m long. T+q i wp2ye1fmff.rg 5)xz7pb*( m-i uohe period of A is T. Pendulum A is twice as heavym5zop7qi ef (f2mi yu+b w )*f-pr.1gx as pendulum B. What is the period of B?

  When the length of a )o9 tzmz *h2hnsimple pendulum is tripled, the time for one complete vibration increases bt* 9 onzm2hhz)y a factor of

  What happens to a simple pendulu(fh+5f hsxqk(m's frequency if both its length and mass are increasxqs(hf(h5k+f ed?

  Simple pendulum A swings back and forh) m prfa;qc85th at twice the frequency of simple pendulum B. q ;f)cmha85rpWhich statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity is 6c2bd4 tgnu+ q -m+zniless than on Earth, the resonant frequency of the pendulunu-6q b 2ngzi4 dt+m+cm will

  Curve A in Fig. 11-1 rqmt.ttxvf: 29epresents

  Curve B in Fig. 11-1 rex 6lriet 7i)+m*rog :4hq gs l o)v0g.(rv7ocypresents

  Curve C in Fig. 11-1 represen3 zuy8;8gs v0agwr sz,3gq 2flts

  For a forced vibration8c +ncmowsrk.3ewa1h r0 ykp1978ue x, the amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points16)qzxi+*+dbw zuenmn) vqm1 of the wave from equilibrium is called tew1n zuqmmb)q+znx v6i1+*)dhe wave's

  The distance between succesuv 8m6r m;j+mmsive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is calg wvbg5gg9ruq7(sk-6 syy d3+led the wave'dg9q(y s7g-r6gs5+k3 vygbwu s

  For a wave, the frequency times the wavexcvmqb(h0 h) :length is the wave's

  The frequency of a wave increases. What happens to the dt gh 5r k*k0,xf/usm sz;;1np)dsa,- ptp .rndistance between successive crests if the speed remains con n1t-;kzsk0pdx nspmr)u.s ;5pag* h,rdt/,fstant?

  A wave moves on a st ii vy(.s0,5p-kv8ccu(jkq ypring with wavelength l and frequency f. A second wave on the same string has wavelength 2l and j c-p,yps(kqv. y0( ikvc5 8iutravels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a stri7buzr66mck ah mp7bxe .:c h+t2cc+u:ng of length L, mass M, and tension T. A standing wave is set up. Which of the following i:2hm+r7bzcx+k etpmc6u :ccau .h76 bs true?

  A string of mass m and length L is under tension T. The speed of a wave in th mum0a7c7ad;qe 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 change in l um7aqa;c70 dmength?

  A string of mass m and length L is under tension T. The sp+1b7f ;l2 ryschi. dtgeed 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, withi fblc71y;d.h 2s+ trg no change in mass?

  A string of mass m a 2h5yvtq(l-m and 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 tension is ym2a5t-l( hqv increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels throu:tijp g0m.8 s ;xc:3si;4 onblwbc-rj gh the Earth, the relative motion between the S8xc j.m 3-l orn wpb:g :i;stibj;40sc wave and the particles is

  In seismology, the P wave is a longitudinal wavex-1 .eh;d8pgz d qa4 pud7gls-. As a P wave travels through the8 .lspe 1 xgazp-gqd d-74hd;u Earth, the relative motion between the P wave and the particles is

  The intensity of a wave i 7x-6f rfl6qvls

  A wave pulse traveling to the right along a thin cord reaches a discontinuityn88msapbbqt+ x )3s*17nxbajqt 1hc5 where the rope becomes thicker and heavier. What is the orientation of the reflected and t abt)n cp +q 8nsh1q83bb1*xmasxtj75ransmitted pulses?

  Two wave pulses with equal positive xn. :z+ ewfjaje(3ho-amplitudes pass each other on a string, one is traveling toward thenw.h zj+e3fox- ej (a: right and the other toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass ea mym qo2:ue6l5ch 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 diryq 5mu:ml2eo6ection. 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, occurs w3dk1ncgqucnfw ,r+dm1a;10l n .c (jwhen

  If one doubles the tension in a violin string, the fundamental frequencmc)tb bryw +d6q9y73t:c ngh:y of that string will increase by d: n9yrm+b:tgb wh3c )q7y6ct a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass h0jn:hj8 * b rti;zj9kof 0.60 i0hznkr9jh* :tj8bj; 0 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fp y-s4xw8.it x 78hdknrictionless surfat.dsx 848iny-x pw7khce. 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 amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizon2mgpr4 b4/lto0( fng po2n2hat i.t s;tal, 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 oscill4r2motohpg.b;fp(t2sl a2n4 0gi/ nt ation?

  A mass is attached to v:bwte; +m,ytb12o vea 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 to its equilibrium povem; t2v1,t+by w:obesition when it is oscillating. What is the frequency of oscillation?

  A mass on a spring under7--p r hdkame ,q:4s1bw+)d mfci n0bigoes SHM. It goes through 10 complete oscillations in 5.m4 bda1 cpn :mh,-irkib-sfw)0qd7 e+0 s. What is the period?

  A mass vibrates back and forth from the free end o id.drmr7 (hdg2d 96aqf an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What i 2 q9m.ai(dr 7dd6hgdrs 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 constant 20 N/m g1*v d9yck6 hwalong a horizontal, frictionless surface. The object oscillates in simple harmonic motion and kvdwc9 y 1g*h6has 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. m eg)kf cej9)amy2m)wysx 5djo9 9uzi36/hz0 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 enerj2 mewo)c6shji z mx3/90 gd5ma)yfze 9)u9 kygy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m a1.( j*omvr t*10ekoyfi1m6al ,qemhnlong a horizontal, frictionless surface. The object oscillates in simple harmonic motion and i 11kmfeo,tmy0*l1r(.oe qjn*6v ahm 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 spa/p jl9sr,j l:h3 wjg)ring of spring constant 20 N/m along a horizontal, frictionless surface. The o3pjrljlwjh, )gas:9 /bject 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 spring conohr/zcz r6xd 9k:6m 1ystant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What irz6 9r6mhcy kz1x:d/ os the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spr6*)n9k 0fh cy nrqqt3ding of spring constant 50 N/60q* k3qcd9 thr n)nyfm and set 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 the free end of an ideal spring of spring cx szxjprvytw4q k 74l(bfi5w(41v9*tonstant 20.0 N/m with an amplitude of 0.250 m. What is the maxx(t9vy7 51jzlbts 4 pviwkx( 4rfw4 *qimum kinetic energy of this vibrating mass?

  The mass of a mass-and-sx ( g t0ncv1-an;:xbaupring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency wob ;nn0g :ux1xt-( aavculd be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attachex98fy(rme:p/.uh6 wca rv0t b d to a spring of spring constant 10 N/m. The object is displaced by/ bvf98(permyuhrx:. 6t cwa 0
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is ay0 xlbyj99c g7ttached to a spring of spring constant 10 N/m. The object is displace0yb lx7 9y9jgcd 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 sprin,w0nc3lrpiizy i)(qs1y 1/ ung of spring constant 18 N/m, displaced slightly from its equilu0l1i1 ,cyw /nypsz(qi)rin3 ibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscklj(4bkh( :cvillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocitjkhclb k(v :4(y attained by the mass?

  Two masses, A and B, are attached to different springs. Mas.t5bv: ,jgqehs 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 Hzv.g :,5jebth q. How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is subi- pc3s1flxypf :5.r:ofu p*spended on a spring. In equilibrium the mass stretches the spring 2.0 cm doffsb :u3 ipy5p x.cfp*r-1 lo:wnward. The mass is 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 onm3oi*dl u*sw/ e1cg(m a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulld uw/(l *gi1osmem3* ced 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 suspended on (lvu).yko r /da spring. In equilibrium the mass stretches the spring 2.0 cm downward. Thd/) vo(.rk uyle mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion *e2(qkwrd 0x3f*, qwlr/o p mhobeys the following position versus time equatio(,q3w0wmx/prdhrl*of k* eq 2n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motio (7qw6m)vml q- thzff1n obeys the following position versus time equt mv1 qfh-6l7 (qfzmw)ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion o8pu4p, clbs -gbeys the following position versus time equati c4-,sppulbg8 on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free eny4 u, o0.yhsuwd of a spring executes simple harmonic motion according to the oh.u u,wy0 ys4equation $y = 0.50 \; \sin (18\pi \times t)$ 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 fora+t:qjcz9 7 krce constant of 20.0 N/m oscillates on a 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:97 rkqcjta+z.)
(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 45ju/+v5dxbe sct gh 9)wifl;period on Earcs9l )vweu ih5dgx+t;45 /fjb th?

  A 3.00-kg pendulum is 28.84 m ld/pu1 nc7m/ kzong. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is9-ny bqn 73nco its length?

  The pendulum of a grandfather clock jc*u 5rzgjqm.j82r *yis 1.0 m long. What is its period on the Ear2r j*jcrym*qz.j g5u 8th?

  The pendulum of a grandfather clock is 1.0 m long. xsd9dnit 88ali os,-/ What is its period on the Moon where the acceleration due to gravityt 9 8 ildxs-/as,8idon is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-xn wlk7 c74;d*stu)yo kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth withy7 *w4c;kto x7)ls udn 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 consisting of a 20-g mass has in n;d1 55x,:bg:abb+anrqzmrp itial angular displacement of 8.0e. It oscillates with a +1m a;bdrbp5,a5z:nnxb :r gqperiod 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 freu;8 x8 rl, *dfjqab*wm(ldi. tquency of the wave is 120 Hz. What isu wfjdi*t8;lr(, mq8*.xa db l the amplitude?

  Figure 11-2 is a "snapshhhzhk6zb u.si:.5 r (lot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the waveleni 6 z(kr.z.:hh5ushblgth?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenhh-*oa kp p7gc; si;)qcy of the wave is 12s;*i qo hpgpc-h; k7)a0 Hz. What is the wave speed?

  What is the frequency of a wyp y.0w5uhra:ave which has a period of 6.00 ms?

  What is the period of a-j es55.qobqc wave with a frequency of 1500 Hz?

  What is the wave speed if qpo eili6(p7: a wave has a frequency of 12 Hz and a wavelength of 3.0 m?pq (i6opl7: ie

  What is the velocity of a wave that has a wavelength of f;/c0vib-a 8y.g 3p gelc3fbory4, um3.0 m and a frequency ofi/cg0 ml. rg,8b ; pfo4 feyu-av3bcy3 12 Hz?

  What is the frequency of a 2.5 m wave tmti5 ka3 5js,u/mj azg8iv8esv w/2v 7raveling at 1400 m/s?

  A piano string of linear mass14pb lk (qshcol1o f75.ic2 iv density 0.0050 kg/m is under a tension of 1350 N. What q h b ck2fpoi57sc 4o(.11ivllis the wave speed?

  A string of linear density 6.0 g/m is under a teq7f r4 z 8dlgfv4*wv9lnsion of 180 N. What is the velocity of 9q*gfld47vv8lz wfr4 propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m lhx*)q k(b 6rvtong wire whose totalxr*q tb6h) (vk 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 transversv8+sn8)p4e ) 3rl a,xxqeurkae 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 of thi)asalxxnue rp4,38 evr)+ 8kqs string?

  If a guitar string has a fundamen,izqd jemq., e1qk4k6 tal frequency of 500 Hz, which one of the following frequencies can set the string into resokkqzemq ,eijdq1 , 46.nant vibration?

  A stretched string is observed to have four equal segments in a standing wa fpdu7+5wb:mcve driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with fib:p+m dwf57cuve equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a stan,xf-(sak w,ui3z.r ofding transverse wave pattern contains .f,uz,-foai(r 3 xkwing 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 shouljmr 5n) p) nl4(ct2ibwd its length be if its cl nr)(ntimbp2 w)5j4 fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linl5s o -(+afuqsear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 5-foq(au+ls 5 s0.0 N.

A string of length 2.5 m is fixed at both ends. Wnwso5/z5u xhj2d1x)ww( -1eu+p q xdu hen the string vibrates at a frequency of 85 Hz, a standing wave with five lw w +xz1 -2d)hs5w(d n jouxqp1xe5uu/oops 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.