The time for one cycle of a periodic 61d5-lwo1va6as tct s c sae99process is called the

  For a periodic process, the number of cycles per unit time is called ther9a,wf z x 43p w7ih-k.;ftno2oszy0u

  For vibrational motion, the maximum displacement from the equilibrium point is ch6 tf24vt sx-9idcax+alx -td+st4h 9a 2vci6xfled the

  A mass on a spring undergoes SHM. When the mass is r 94ynqf ms9 nyjsg2,hcq00fi*f 8t( rat its maximum displacement from equilibriun9h 8*r(yq2jffts gs,ricqfm y 04n90m, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the kf;tjq /0ocs5 8hbb+ da7fj-qequilibrium position, i0;/ jh oc7sq+jbqf8-5tabkfdts instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is ysl0 md(k1v p5at maximum displacement from equilibrium, itsm5pl1kd vy(0s instantaneous acceleration

  A mass is attached to a vertical spriqmr 4- 3)jikdxng and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a minimum m)j-34xikrdq?

  A mass is attached to a vertlgxz)p o;4* ztical spring and bobs up and down between points A and B. Where is the mass lltgz* z4)o x;pocated when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs m0r2 fd;8nheohnkfjk u/t3u5 d- tl 6/up and down between points A and B. Where is the mass located whlf/r mf2ue thk8 n/t u;d6d53-k0ohjnen its potential energy is a minimum?

  A mass is attached t /c0yugpi/ 8v0sarp. n8 ddgw*h-bp+ uo a vertical spring and bobs up and down between points A and B. Where is the. u0s/gpdh 8r+d*ppa8i uvgcb/0-wny mass located when its potential energy is a maximum?

  Doubling only the amplitude ofu5x2goz ux3sjfmqhcr- .g:9 * a vibrating mass-and-spring system produces what effect onrh qs -zx:2o*g3 fm.gx5j9cuu the system's mechanical energy?

  Doubling only the massr/e tzcp4 15my of a vibrating mass-and-spring system produces what effect on the system's mec1r4pzyec/5m t hanical energy?

  Doubling only the spring constant of a vibra q2+py8-x lzokting mass-and-spring system produces what effect on the system'lop-zxq8+ y2 ks mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Whes7)mas/a gk3vcs8/ sc re is the period s3 8)kcma/ ss/cgas7vthe greatest?

  Increasing the spring constant k ofx.h s4nrsev5y,5(v:nzft j8a a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the s .e5szn:tn , v(85jf4vhsrax yystem's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change x8ue:xjmc nj(( )p xw4in the resonant frequency of the system? (Assume no change in the syste )xp48cejn( jx(wx u:mm's spring constant k.)

  Increasing the amplitude of a mass-and-spring system x6 tklfz9 kn)i-ck/d*causes what kind of change in the resonant freque9nf) k*z6kk/ t-c dixlncy 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 attached to a weightless string of 4a c2,hnriv1hlength 2h hrc1 ,4vniaL. For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one compler0r1ao;fb gqmxi7pyi8z )/)urz 2 s g1te vb1srz r z1) g;7 i)a2y0u/qpriofmxg8ibration

  Both pendulum A and B are 3.0 m lonl9humnq/,mdw t ))9 afg. The period of A is T. Pendulum A is twice as heavylnqmf a mh)ut9d,w 9/) as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one comple9n4qg5cfe:* 1 ok9*zf+2pd ,dhk edqnjvp1 dlte vibration increases by a factorqd14d9z9ev 1n:f *e+jdko cd,ngph*qfp5lk 2 of

  What happens to a simple pendulumzlji4 z+dylk;k 6ng7)m.i 4 my's frequency if both its length and mass are increas4ky mm4z )7+.z6 njdilli;kg yed?

  Simple pendulum A swings back and forth av f0 cz +trnj.y8/w. toy-a6qqt twice the frequency of simple pendulum B. Which statement is correct?tt8 yrfa/6jyz+-0 w. nqv o.cq

  If you take a given pendulum to the Moon, where the acce9 1j8 me5 y1wqjlzn 0asmv*(fbleration of gravity is less than on Earth, the resonant frequw s*mj ma0l9fz 1(q5vyjb1 8neency of the pendulum will

  Curve A in Fig. 11-1 represevrns7*o;w y c;nts

  Curve B in Fig. 11-1 repre wrkq4ny: rp n:d.6, *wol;g i;hygd,esents

  Curve C in Fig. 11-1 represen7/rclnw1keb13o evtfo.2 ti9gb:)x f ts

  For a forced vibration, the amplitude of vibration is wk9am62ah/nzwve 30bfound to depend on the

  In a wave, the maximum displacemend 5eh:2r2she0x mb n7pj z14yg2vg0izt of points of the wave from equilibrium is cavr24geej1 2nbs 0phz5d0y g:m z72hxilled the wave's

  The distance between successiv, tm1a:+frlr oe crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is ecksi+c * r+i+ o8ugl2qd o/)ycalled the wave'c+++l u 8oc qg*ei k/ir)oy2sds

  For a wave, the frequency times theslxpg a69e5-a wavelength is the wave's

  The frequency of a wave increases. ltk45c;+wp bm What happens to the distance between successive cmtp;k+l5w 4 bcrests if the speed remains constant?

  A wave moves on a string with wavelength l andz(pq5/nbtzds r + e;9.icmm f8 frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of thez8 .q5n sd+epmt9 (r i/zf;bmc second wave?

  Consider a traveling wave on a string of length L, mass M, and tensio2*hwyah d,gm:5jr- ytn T. A standing wave is set up. Which of the fg:yrjmh 2-hyat ,5*dw ollowing is true?

  A string of mass m and length L is under tension T. The spe c)xl9gq0myh z )va-r.ed of a wave in the string is v. What will be the speed of a wave )a.-q90zc rhg )xylvmin 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 under9jiu sd 7 q+k+3w phavyo9*i0o tension T. The speed of a wave in the string is v. What will be the speedo+uvq* sjdp y7+0oa 9i9hk3wi of a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L /yxaq0efw5 bi-u/)u+z l goh) is under tension T. The speed of a wave in the string is v. What willh 0 )ozuw)+yliue q -5bxgf//a 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 travelsk j/.xywv( y xbw wi2l;(5c9gv through the Earth, the relative motion between the S wave and t;cgjvlwxi( b9vyk2 ( wy.x5 /whe particles is

  In seismology, the P wave is a ls 33va wmfbh1hg;- (adongitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and amg3w 3-;(1safh bvdhthe particles is

  The intensity of a wave h11e2 - /dkgqm9 8wzv(zqpd+ozko.bsis

  A wave pulse traveling to the right along a z10 ppb6kok6ad- yef+ thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted fy 6ozd6ae kp-10+kp bpulses?

  Two wave pulses with equal posxs eg4,zh0b* uitive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occshg 0uez*,xb4 upy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling toward the rightwacwj0 dsh4fl 4zj/m n2221 ct 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 ct40z2/s24 jwhw1mc nd2l jfasame region of space at the same time

  Resonance in a system, such aswk(2;ceaqo- a jy4c+z a string fixed at both ends, occurs when

  If one doubles the tensionqd14mp -w.ez8 j po-c).uu z1 ng:xzsz in a violin string, the fundamental frequency of that string will increase bygzeqzdwsmxo. n-1: )z 4p zc1u.p8ju - a factor of

  What is the spring constant of a spring that stretches 2.00 cm whe-)dqgqa ap; r gu5bz88n a mass of 0.600 kg dr-8b qug8;z5 paqa g)is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal,yaokvq *t,ut9:s(s vcr7ti8 9 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 oscot7t*8 cv, iay9s s k9vutq(:rillating. What is the amplitude?

  A mass is attached to a sprar mrz0kj9a+4fv l(3 oing of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of a9 rkrf vo(0az l+j3m45.0 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 constant 60 N/m ardx( o;y0/d cfm 6/gvoz6*y 4zs j4kgnlong 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 ovs0 dzc4oygdnj6(oyrmx;/ 4/ 6zgf *kscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillationvb*.+prn 7j;mfu (y o eu+/rots in 5.0 /eftj*r yoo+. urn7pbv + ;(mus. What is the period?

  A mass vibrates back and forth from the free end (xatq4y3 fp;vof an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic ex 4(yqpf3v at;nergy 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 oujg73o,1 ahh 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 is the total energy o,go3 71 auhhojf the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this time. vdp sc6 ;7yt nr):v/wkpu4j1r The mass is cut in half, and the system is again set in motion with amplitude 1;4d)/uv :7 swtkr nrypjcp v64.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring c7a hlr-xi5i5nlk /y :a. q.4m tps9smvonstant 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 /y ts ma.lq-5h: i5v9.4ni xslkmp a7rposition. What is the amplitude of vibration?

  A 0.50-kg mass is attachedjjkl(n*+-8sxhd r 4v d 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/s at the equilibrium position. At what location are the kinetic energy and the x+v*jd(ls hrn kd4 j-8potential energy the same?

  A 2.0-kg mass is atta 9jz2 r rb8wc oa:yp8nnrc//2jched to the end of a horizontal spring of spring constant 50 N/m c zorr/r8 ny2:a pjbcj29/8nwand set into 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 horizontal spring of spring constandyj9 5q-h :ppst 50 N/m and set into simple harmonic motion wq- 9hpyd5 :sjpith an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the 3tik vhc(y,8lfree 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 mashcyt( i3k8 l,vs?

  The mass of a mass-and-spring system is displaceed6m+0bqjf b i.*t*vm d 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is obse*b.m*q idv+j fb0em6 trved. 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 l z if1r0y.aq;spring of spring constant 10 N/m. The object is.1z0qy f i;arl displaced 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 sprini2k fr;7ti7t xg of spring constant 10 N/m. The object is disx tfti2ik7r7 ;placed by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hun0dqwr.rau/ v5 g from a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. Whq rdrawv0u5 ./at is the frequency of its vibration?

  A mass is attached to a spring. It oscillat4:.dnjr2veyb: y y b(zdkuj) ;es at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the ma jb4y.2; :)yvzyd(k:b uejndrss?

  Two masses, A and B, are attached to differe2 uei4 nevmfk2s(4, bgnt springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 vnfi g(besu24ke m42 ,Hz and mass B vibrates 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 r;gt(oz4 x n- lob,jb*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 rerz*g;xo(b4 o -nb,ljtst. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring.0z7 ne 2om;wmt In equilibrium the mass stretches the sprizo 72mm0t ;ewnng 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 system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches the k sjg/5oeh s,:spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down i es,khos5gj/ :ts equation of motion.

  An object in simple harmonic motion obeys the following posit*+ qbz/a8sxm2(u+)roq nkoi fion versus time equation:i(8zxqr)2u bo nmo/fk sq* a++
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys pw7d:f x,e2u pthe following position versus time equad :x2uew p7,pftion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time et +(q:3a fayjtquationjqatf y:(ta 3+:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring execu)zm1o +e + *jfkelxma4tes simple harmonic motion according to the e j*lm1+ax4 oem)+zkfequation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring wieby d 7mmdtwm,h 9-n(a7ye9b4th a force 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, thy, hen(byd- 7met9m4bda7w m9e 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 andj7:taiv:nv a; period on Earva:vtni;a 7:j th?

  A 3.00-kg pendulum is 28.84 m long. What is vdq 844xmbwr7its period on Earth?

  A pendulum has a period oftl3)kwa.*mgd w6jmf 8 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long(ztdkhd oq3.75ha -d;thpo 6s . What is its period on the Eap6hd o(q3;ost dkhz-ht.d 5 7arth?

  The pendulum of a grandfather cl n /qu-w+ tm-rcdqb 2rt0ltw-+ock is 1.0 m long. What is its period on the Moon where the accelerm- +runw /20cwt dlrbqqtt+--ation due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mcr6d e80:cwkb p1kue:ass attached to a massless string. When ec8c :w:be1d60pku rkthe 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 attached to the string instead?

A simple pendulum consisting of a 20-g masszjh n )k b9a -6uaflm:2gye(i2 has initial angular displacement of 8.0e. It oscillates with b6j)2a(z2ihfykn l 9 a:g -meua 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 dy6f+xk+sy hn6a/u ohb,(q ft )6o +mmfrequency of the wave is 1k,maoyt +s n(q6+uf y )6oh6bm +f/hxd20 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. wr.a/t b-vp;hv5u3vd e,k3d.xjczz+ The frequency of the wavebjp+rw/3,;-. zv3xa.vkh ud d v tez5c is 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time mrris *zsqpvc8j5, uf9ey// 1. The frequency of the wavfz51/y 9u p*i,rer/c ss8v qmje is 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a per/c.fa4ons9:;y d up gliod of 6.00 ms?

  What is the period of a wave with a frequency of 1z l ohy9k0: um1(mcon)bhwu)x/1v on2500 Hz?

  What is the wave speed if a wave has a frequerv :88gzee31rl jr9t6)qs jk hcm5wt,fn s2, ency of 12 Hz and a wavelength of 3.fhq ztr ,k9g jsr3j1m,r 2ew685 env:sce8l)t0 m?

  What is the velocity of a wave that has a waveles( 17edz s1yylho(hi)ngth of 3.0 m and a frequency of 12 yz(s ld1eyo h1s(h7)iHz?

  What is the frequency of a 2.5 m wave travec)n2d m5vp8ppbda1yi1* rr+ rling at 1400 m/s?

  A piano string of linear m q2h +)3zpmxwdass density 0.0050 kg/m is under a tension of 1350 N. What is the wave spp+hm3w2x qdz)eed?

  A string of linear density 6.0 g/m is under a 8*9llevviq .o tension of 180 N. What is the velocity of propagation of transverse waves alon9oq8ivev*.ll g the string?

A wave whose wavelength is 0.500 m is travelim83ut x v1; lv171-vamod tzvmng down a 500 m long wire whose total ma1ammzl;o-3 v8xt1 dtmuv 1v7 vss 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(zsloos3i 3:p on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonanoz:s3 3l i(opst frequency of this string?

  If a guitar string has a fundamental frequency of 504 (7lo.i0wu7ueso c zh0 Hz, which one of the following frequencies can set the string into resonant 7cuo(usi0o.ez4w 7h l vibration?

  A stretched string is observed to have four equal segm tou 6xz9:lws3z1hmq2 ents in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up 2m:s9 q6zhxzo1ul 3 wta standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hvp78 xrpdl2 m+z with a standing transverse wave pattern containing 3 loopsp2+rlm8d7pvx . 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 should iyk rxi 8+8(dms90og6xwjyd 0its length be if its fundamental resonance frequencdi+kmj98x6s y0dryo wxig8( 0 y is 220 Hz?

  Find the first three harmonics of a string of linear mass+ zyczju8vs*8f *g 3vg density 2.00 g/m and length 0.600 m when it is subjected to tension ozf3s+ vg8 v u*8jcgz*yf 50.0 N.

A string of length 2.5 m is +oq0qp5 5c y d*bobmx(w1x,nofixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing waqo5wm(oo15,b0ncd xyqb* x+pve 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.