The time for one cycle of a periodic process is 44ecv pl 42b2dqyf8bj called the

  For a periodic process, the number of cycles per unit time is called ap 1zn;dw 6s76k4u tmgthe

  For vibrational motion, the maximum displacement from the equilibrium poo6(z4 dy5;p:r r bkafrint is callr (y rafp:rk5ob; d46zed the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacementosvh7cyl93 f0 ko mr(* from equilibrium, its instantaneous ov90f7l orm*ys 3c (khvelocity

  A mass on a spring und cssf;,x;djv2*h- mme ergoes SHM. When the mass passes through the equilibrium position, i; 2f j;msedxc -msh*,vts instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum disz2jx0xp/h8d f placement from equilibrium, its infj2zh 80x /dpxstantaneous acceleration

  A mass is attached to a vertical spring and bobs upblpz)ub5j 7sba h :404r w:hpf and down between points A and B. Where is the mars h 5:w4 abpf:0p4 7)hzujlbbss located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and dowz)0m 9n,qpf k7lxl j6pn between points A and B. Where is the mass located when its kinetic energy is a maximu69jklf7, mzp n)x0plq m?

  A mass is attached to a vertcotvhtor sxd(:sc3s25 5:iy2 5: ifimical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a minimui:c:2if2 s(to: v5h3oct5d sxyims r5 m?

  A mass is attached to a vertical spring and bobs up and dodxb q)a/ a+ u1ntw(b0gwn between points A and B xqwgbnta dbu1)/ a(0+. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitu; svk7 r.i;5tpi*wg9lh kehp .dm j8a0de of a vibrating mass-and-spring system produces what effect on ; pi.wgleh7pi5skh*v; m ka0.trd98j the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what efynsq 8hb; d q1 ct0-3*h0fw:lq eq:xqlfect on the system'*de : qs 3qq;ybq0xtqn-hcfl:18 h0lws mechanical energy?

  Doubling only the spring constant of a vi( rg bq,8/iicnarc(:ebrating mass-and-spring system produces rbracc(ig /n 8e (:qi,what effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth apj2s.ippcv:/myk 9i7 l 7oawmb uk/3:nd on the Moon. Where is the period the pppvabj2/3:/m kk9yi7l. :cuw sio7m greatest?

  Increasing the spring constant k of a mass-and-sprigoh9e,f.p of(ng system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's ma,o(. hfpf9 oegss m.)

  Increasing the mass M of q i01,j1 -nxzfngrtf 4a mass-and-spring system causes what kind of change in the resonant frequency of th f nzqng-4i10 rtj,1xfe system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a ma,g0mz 0mmkh 1x9m hf:wss-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other g9f,zhm0 1wmxm0: m khchanges 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 atth: y*t mh 9+uxn9o(mceyxd,b3 ached to a weightless string of length L. For thism*:ec(,3 9 tm9oh+yynbhx x ud system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, t4x*r 9-zlz)la 6uwr wjop: j6zhe time required for one complete vibratioj r* powzr6l4lz 9aju:x -6w)zn

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twi vsgoa 0dl.p/5ce as heavy as pendulum B. What is the period/5ldp 0os.vg a of B?

  When the length of a simple pendulum is tripled, tqhvn; qm/-uz 1he time for one complete vibration increases by a factor /z;mvh1 nu- qqof

  What happens to a simple pendulum's frequency if both its lef-vff, yn 64f3mk 6osingth and mass are in3vi-f6nffmkf oy ,6s 4creased?

  Simple pendulum A swings back and forth at twice the rql:o mll aabd+ 38jr ;ez6w/8vk4 j+yfrequency of simple pendulum By+ jeka 3wol86/jrv48mlbra; ld:+q z. Which statement is correct?

  If you take a given pendulum to the Moon, where the accelerateth y;nw /u 9xm.f3l.wion of gravity is less than on Earth, the resonant frequency of the pendulum will..xnw/tf l;yw3u m9eh

  Curve A in Fig. 11-1 represen xqcih8,/*;9u r a9xfz+vwvp wts

  Curve B in Fig. 11-1 represaj2c1s/(qmyr n w2sdm;jv- 7bents

  Curve C in Fig. 11-1 repkdn5sen9 *ih/resents

  For a forced vibration, the amplitude of vibration is found to depenl59 xbq0 l8i0qlye 5uad on the

  In a wave, the maximum displacement of points of the wave from equilibrium*j p8(d ux)qqb4 nvccgrnj028 is called thpun4( 2vrjdjc cqb)0* 8xg8qn e wave's

  The distance between successive crests o8ln w0- n p ny9508ps;blaexwan a wave is called the wave's

  The number of crests of a wave passing a point per unit i-/l9)z yrcxn xrbm.2 time is called the wave's nryz)i.b -x9 /2cmxrl

  For a wave, the frequ;byt- oy *qs,+jg; xhlency times the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance bet tq+6h )sv 61zf4bsfdbxz :b)xween successive crests if the spe+b:dzxz1qxh4 f)s66) sbtfbved remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave onqp ug,wkwnxw- 5onz(.s 4(bm t8) mqd/ the same string has wavelength 2l and travels with the same velocity. What is the frequency k( mos wt4-ub8z5/qwpmn(w ,qxgnd).of the second wave?

  Consider a traveling wave on a string of leng9 lp( f5mqsag cr34yu9th L, mass M, and tension T. A standing wave is set up. Which of thq 3rm4sy lpaf9cu(9g 5e following is true?

  A string of mass m and length L is under tension T. The spee2: h / vr2)y2bqfn 8nlghyjon.d 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 in hh:8j/lyyvqfgn22 nn)r ob.2 creased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of a wave in tk;b,e7 rhs q-j ksv65d- *pot+ecj4cxhe string is v. What will be the speed of a wave in t+exedkc7jr-v6hk5t;4c*p ,jss-o qbhe string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a 4(s 4ec)zlog .+zp bre6f4c 9e:fsiqywave in the string is v. What will be the speed of a wave in the string if the t ecz4f4b4 +p:rezs e f().6gcyio ls9qension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels hkqxy8f;h,xl x/pj,0e e/w :ythrough the Earth, the relative motion between the S wave and the ,keyj / e;8lhx,yxqh p0x/w:fparticles is

  In seismology, the P wave yt3w f+r2 w:wra1g pj:is a longitudinal wave. As a P wave travels through the Earth, the relative motion between t wwr 1rw gt:p:ay+2fj3he P wave and the particles is

  The intensity of a wavmt7l 0bqv +xb.e is

  A wave pulse traveling to the right along a thin cord reaches a diygv 4r26.0lvoky- zhcscontinuity where th6 yh yz4v v2r0g.c-lkoe rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each otheh4+ ejvea) g 4fuy3)zkr on a string, one is traveling toward the right and the other toward the left. At the point that they occupy thjvh y+kf4e3 )eg)4zuae same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling towu:4jev bb(e 81oa2z rpard 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 12oeej8p :v rzb 4(buathe same time

  Resonance in a system, such as a string fixed atz5;izd vk ja2: both ends, occurs when

  If one doubles the te api 65,5lez06u9i-qym e7f0a zvyfq cnsion in a violin string, the fundamental frequency of thatza56-qafyf00 pqeu y vleimzi5 c9,76 string will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a ma:opz h ,rb9 2.5xahdlqss of 0.600 kg is suspended frob9: hq2. xadpoz,lhr5m it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontaln pt-.e8utlr) rd2 u0rg4jjs5, frictionless surface. The spring is initially stretched by a s 02r4jne.pd 5tg-8)ruu lj trforce 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 syov76)x)o9 0 ro: ekoeq s*wqfpring of spring constant 60 N/m along a horizontal, frictionless 90qo 6 vew* ))x:s7 eoqfooryksurface. 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 oscillation?

  A mass is attached to a spring of spring conse aso 1d 1cp1fcr(9q:ex/ (r.rxwnv7 gtant 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 bapaev cdso/1 1 (rfg(:1x7c eqn.wr9xrck to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes thra3o/zpsh 5 v0pough 10 complete oscillations in 5.0 s/3 os5azph0pv . What is the period?

  A mass vibrates back and forth from the free end of an ideal spring2+ 2uoowu ,pt bkxp:owbe95byq oj;+. of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mt .y2b2 o+kpbw, 9o:; ouqujweb5p ox+ass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is at fd;s.goc xk)-tached to a spring of spring constant 20 N/m along a horizontal, f f.sgkc-;xdo) rictionless 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 of the system?

  A mass undergoes SHM with amplitude of 4 cm. The endux7msn5)p kregug 7 p116gk,ergy is 8.0 J at this time. The mass is c g1k57pr 6g7s,xkpnd)ueg 1m uut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a sprinyv a;uo65gp 4xg 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/yg;pa654ou vx s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attac kdx ef k/:.rswi-3gu3hed 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 potential energy the fr.gd xke u33/s:k -wisame?

  A 2.0-kg mass is attached to the e s*o+y f.dql-rnd 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 of this syster ldf .*qo-+sym?

  A 2.0-kg mass is attached;zjos nezf7q-/ vyj 0* 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 thev eo-/qyjnsz ; z7j0f* total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring za9e:sh5r/ cn of spring constant 20.0 N/m with an amplitude of 0.250 /s az:rnc5h 9em. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 1/e5r; mrtz e3, c0nmq*houi-q0 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass cuq;eiomrq-3 mhn/0 tz5*,re had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring o ;fj 1j1tx4x rdccum-,f spring constant 10 N/m. The object is displdum1xxc-t1r,fj4 c;j aced 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 spring of spring constant 10 Nu*5tr7y) +6y bm twwya/m. The object is disb* 67y)yur5mw tyta w+placed 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 sprin+)gw 7dxp7b zy w;lfm+ 0sqda2g constant 18 N/m, displaced slightly 2 q7+f+xsw zd;bgwmd)payl 07from its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at ahopqj:8fme 8yd9;dd (:g 9epr 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 mass?(8rg 98 d:phyeq d;jo9fmpd :e

  Two masses, A and B, are attached to different springs. Mass A vibrates withl*3klkzq uoz s.6s-x) amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at a frequeuso )kkz.6zlsl*- qx3 ncy 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 equilibrium the mass stretches thpecah)niu r:;gbo )2a8+)n vse spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period o)pvbg+ h)2a: ea nirn8su; c)of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass xk8.z wy i1d5estretches the spring 2.0 cm dowx15 yizde8k .wnward. 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 equiw mu*c s lydc1b(zm-)4librium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down anwdc (my-)ums*c 4lbz1d released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following pos ,jnh2o9s ;(+y lbsqf o/js,ryition versus time equation: (,; y+f /sjsoq,jho9 n2bslyr
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following pn08lhxaa p j+-osition versus time equatio-l pajh+ na08xn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys thtsd:i 0y: m-xi 0lrv6ee following position versus time equatiy6-rs0vxilt edi: m0:on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the ur1x q1vaqt+-cb-a0 i free end of a spring executes simple harmonic motion according to the equationx- q v 0-aqc1bu1+itar $y = 0.50 \; \sin (18\pi \times t)$ 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/* kcalwx )q9.6z 2-cy egp6orhm oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. w .axpl 9h*z)y 26cor-qg6kce (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 comple lvytx/,9x vmm12 5irite swings in 8.0 s. (a) What are its frequency and period on Eartmv5/mx,lvr91i2 ytxi h?

  A 3.00-kg pendulum is 28.84 m long. What is its period ons2a c+har;/si Earth?

  A pendulum has a period of 2.0 s on Earth. What is kdo y r4u)wj/2its length?

  The pendulum of a grandfather clock is 1.0 m long. Wha fgk*qnrx+4. mt is its period on the Eart.k4mqg+r*f nxh?

  The pendulum of a grandfather clock is 1.0 m longc6hl++qeag.x w m xmjafw yx d12 0:ckp9h59c8. What is its period on the Moon where the accw.2qm0 a flhcw9+6p5 8d91 ccyax:xj mg hx+keeleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25drxej 80j xh mlv21s5g /rct/1-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 with a frequency of 2.0 Hz. What frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been1xt/ ej2s8x r h vjdrg0lc/m51 attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial anguladdg-i,jft* t .r displacement of 8.0e. It oscillate t djgtd*.i,f-s 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 "snae p.*5zqvb9spb j jr7;pshot" of a wave at a given time. The frequency of the wave ibqbj .zppv59je7r* s;s 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The freq1jk(++h v-srma9xpv lco g* 9ruency of the wave is 120 Hz. What1hx valrcv-g sp9*++o jmr 9(k is the wavelength?

  Figure 11-2 is a "snap) pw gov +an3r4uny6s)shot" of a wave at a given time. The frequency of the waveow34up)+ n6)nagrsyv is 120 Hz. What is the wave speed?

  What is the frequency of a wave wh)cmtog4gh /9vich has a period of 6.00 ms?

  What is the period of t4d4n j7yt( zy5j6j7fetb es 1a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz an0 rgjj,n b9yo3d a wavelength of 3.0rgn ,3y bojj90 m?

  What is the velocity of a wave that has a waveleni/n7j vqf w/xrv:lc7tsf75k( gth of 3.0 m and a frequency of 1nltijq7f7c:/w/ 7 xs f5 rvk(v2 Hz?

  What is the frequency of a 2.5 m wave travelm h3 x*:zog1o7 o0yzwn:d0nj ting at 1400 m/s?

  A piano string of linear massk-;e e0p5z6so: fm krr density 0.0050 kg/m is under a tension of 1350 N. What is the;rk:m p6ozr0fk 5ee -s wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the vel u9jw9/*ecttb ocity of propagation of transverse waves alon b9eu9jtw *c/tg the string?

A wave whose wavelength is 0.500 m is traveling dowty8i1rsi 1,gi)p/+ulwxqh o0 n a 500 m long wire whose totag lysi +otu/x)0rqw81pi1, ihl 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 n(,u;iv*qv ce a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the ; vun*, qic(vefollowing is not a resonant frequency of this string?

  If a guitar string has a fundamental frequen11p mks*iq:k(c z-i fdcy of 500 Hz, which one of the following frequencies can set the string into resonant vibrationm(kif1sq k ci-:*pd1 z?

  A stretched string is observed to have ffp buq2,s ti-,+t8o;quu ccv)our equal segments in a standing wave driven at a frequency of qu b ,c q2uv ocft)8p;+utis,-480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibraxsicxc 1.gj+xd;0)g+*ncqze+dt/xd tes at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to cq;x.x 0sx +ce gdd gd*cj+nz1i/xt)+contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should 6wmajtpa t3k e*a3l89its length be if its fundamental resonance frequency is tmpl3aea *6ta 9jk83w220 Hz?

  Find the first three harmonics of a string of linesasq0 0p:fzd6 ar mass density 2.00 g/m and length 0.600 d6fpa 0 :s0zsqm when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When therj afgk:g+) xd09+9c tg6zct u string vibrates at a frequency of 85 Hz, a standing wave witz9 at fkrgg)0 jcux++ g6:c9dth 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.