The time for one cycle of a periodic proces:keh;e: p r.2lvakcnl6y.,ri s is called the

  For a periodic process, the number of cycles per unlzj ((+ es*bqwbpb8a,it time is called the

  For vibrational motion, the maximum displa9j n:t( zfgq *tnlhb9m1)6 jhacement from the equilibrium point is called tttj) a j69qzl1n(h*hg9:b nmf he

  A mass on a spring undergoes SHM. When the mass is 71fkvbgdyj ,z *rxv(/at its maximum displacement f1 /yk(fr* x,zvdgb7j vrom equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. W5vpz ;-w6my3* z wp -egoxkgo0hen the mass passes through the equilibrium position, its instantaneous vekom zg ;z6e 0yw3*o-gpv5-wpx locity

  A mass on a spring under u/;r/;davuaiqpfip og 3.; ;ngoes SHM. When the mass is at maximum displacement from equilibrium, its instantaneous accel;f du/ogpuniqava; pr.3 i/;; eration

  A mass is attached to a vertical spring and bobsapzb z80g i7h- up and down between points A and B. Where is the mass located 8agbz0ih -pz7 when its kinetic energy is a minimum?

  A mass is attached to a vl 6haye. m*m7bertical spring and bobs up and down between points A and B. Where is the mass located why 7am*lbhem 6.en its kinetic energy is a maximum?

  A mass is attached to a verttrgd+nas( *45khfjpq-8i u2gical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a minijgg -2rstpha84d +fk5nu i(*qmum?

  A mass is attached to a vertical spring and bobs up annd;4;si, o) szff+ aqfg/aq 1ld down between points A and B. Where is the mass located when its potential energy is a mao qlf)/+n s1;f z,d4f;qasgaiximum?

  Doubling only the amplitude of a 0ed 9a1 8 rastyn.rmv.vibrating mass-and-spring system produces what effect on ny9 .v1ma.e8 rtrd0s athe system's mechanical energy?

  Doubling only the ma1ri,9- 4 i7pcqegwq rdss of a vibrating mass-and-spring system produces what effecq,-r1r4diqiw pcg79e t on the system's mechanical energy?

  Doubling only the spring constant of a 1 1n 53ocq tad5zxatr/vibrating mass-and-spring system produces what tdt13qn 5zoc/1a r5xaeffect on the system's mechanical energy?

  A mass oscillates on the end of a fe*rlh0ljc k8t(v( * espring, both on Earth and on the Moon. Where is the period tvrtl*(e8*h(0jfec k l he greatest?

  Increasing the spring constant k of a mass-and-spring system caus7jpq 11,w. aub/d hehues what kind of change in the resonanhuh7jbd1 /wua, p. eq1t frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of vf(itsonkeb y;jc :c.3ca- 24change in the resonant frequency of the system? (Assume no che ob j3v:2ac;ty-. c4nck(sfiange in the system's spring constant k.)

  Increasing the amplitude of a mass- nvr8h9 wmszoyw85oskgi:4.uj *(xn(and-spring system causes what kind of change 8 (h.zsn9y*wvk4 ro mowxugn8(:ji5s in the resonant frequency 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 cofv gucngxh nofqs4 ,37(29co2nsists of a mass M attached to a weightless string of length L. For this system, nqhf97,c23f4gvnog2 soxcu( when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the x ) inf5dawq:e)4 fk*vf+ g-zwtime required for one complete vibrationv-: kf)gd z)qx+ef4n iww*af5

  Both pendulum A and B q*sbt 3jec53 aare 3.0 m long. The period of A is T. Pendulum A is twice as heavy as penjs3 ae3*ctq b5dulum B. What is the period of B?

  When the length of a sikyol h.qs* c.)mple pendulum is tripled, the time for one complete vibration increases by a q*k.l.y coh )sfactor of

  What happens to a simple pendulum's frequency ifmho ygau;o+:: both its length and mass are increas +m:;youhgoa:ed?

  Simple pendulum A swings back and forth at twice the frequency ofsn3n uq3 w+ojm8y(fc2 simple pendulum B. Which statement is correct(8qu+on2 n ycf3mj 3ws?

  If you take a given pendulumg15 /(,whnc*5j u lpozq 9hnzd to the Moon, where the acceleration of gravity is less than on Eart9udjo5p hzw(g5*czn1nq h/ l,h, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 repres s3aw4eklj- oq, g6h-tents

  Curve B in Fig. 11-1 represda*ak u:tqjc18eiqg18 u1 ba/ ents

  Curve C in Fig. 11-1 rep 7/ek clxgr:i*j1/wp sresents

  For a forced vibration, the amplitude of vibration.kq demsx+a y9lp24(m is found to depend on the

  In a wave, the maximum displac-3 -(;.mh4mr uoveoohuz.zfvn x: z9vement of points of the wave from equilibrium is called the wv zuxohv;(3:ouz-m9vo nmr 4feh- ..zave's

  The distance between successive crests on a wave is called thiai1q :/ 0qwf8ko5cc 0h(pqz/r,sum qe wave's

  The number of crests of a wave passing a point per unit time is c6g rsy3 4:wtoeomrb* .alled the wave'ye4sm:wb *o 6o3rt rg.s

  For a wave, the frequency times the wavelength is the waved.ugnth0re37 ogw h*)'s

  The frequency of a wave increases. What happens to the distance between s458bl p fzjb(72dh lxla rx1.nb.j(lpff7-peuccessive crests if the f jl. 7 fnzx2hx5f(.e(j1laplbbb487pr-l pdspeed remains constant?

  A wave moves on a string with wavelength l and frequency f. A secosxosqsz3 o. /*nd wave on the same strin3oos* q ssz/x.g has wavelength 2l 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, andsd 4ly flrn1/0w2rnt - tension T. A standing wave is set up. Which of nwtr-d2lls0 1 4rn/yfthe following is true?

  A string of mass m and length L is under tension T. The speed og,-fopuh5 90lsu:/ :;ix n(fld kfbf 0,xs irdf 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 incref dhfl ,fxk;:xur0i:bio( nu0ps9/-f ,5ldgs ased to 2m, with no change in length?

  A string of mass m an9rau- t9 -y1bg5m pe seqx;-kzd 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 length is increasedqt;-zk9 ue5xs pa rg-- 9mey1b to 2L, with no change in mass?

  A string of mass m and lekkjk vhlv0it e2273,kngth 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 strinl keihvk,03v27 kk2jtg if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through th(o8+c7m ep w; bp fo5c 0zwc6wza2+klce Earth, the relative moec+cocp8lmp w7+w50 z(czkb ;f awo26tion between the S wave and the particles is

  In seismology, the P wave is a longi*hc4mjvq( -i itudinal wave. As a P wave travels through the Earth, the*c 4iqv h-j(mi relative motion between the P wave and the particles is

  The intensity of a wavbk9-*0qmqktncl:x a/9kwi7y e is

  A wave pulse traveling to the right along a thin cord rt v3t994pg:gk:f(zowh qy 5oceaches a discontinuity where the rope becomes thicker and heavier. What iwygfg:oh o: t9k5zcv3t9 q p(4s the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on )arlplm4 a-, ra string, one is traveling toward the righarap,m-4ll )r t 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 each other on a stric b,b5f(*h7t n.eu wfkng, 5ljng. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative h(f,wnf5. 7*ebn5gtbj uckl , direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, ux+yq59u4 12 gxvhf) y0qz)pzkx;:wr9z r dwysuch as a string fixed at both ends, occurs when

  If one doubles the tension in a viym /b--w2gn8 ndare0uc.y l;z olin string, the fundamental frequency of that string will increase by a f wrb /.eu8my dgc;-lz-0 2nanyactor of

  What is the spring constant of a spring that stretches 2 m;k+4j*jckpk u4fl *s.00 cm when a mass of 0.600 kg is suspel km4k4cj *jukf;p*+snded from it?

  A mass is attached toxbs z2 :1n( ob-i2sdhl a 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 position when it is oscillating. What is the amplituo :hzbnbl2x (21issd-de?

  A mass is attached to a spring of spring co ;obuf sw;vzj;;kn1uhyg8q: (nstant 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 takewu og;nbfj;h8y(;z qs;:uv 1k s 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 const0 aik/-kob5lzs nj),xant 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 when it jz)/ k, balskoin-50xis oscillating. What is the frequency of oscillation?

  A mass on a spring umi e)2a-kiw6p i do5 -o8vqes9ndergoes SHM. It goes through 10 complete oscillations in 5.052o)a- e wvod eiqki spm98i6- s. What is the period?

  A mass vibrates back k*o+4fxv493phzosv5ai8it x and forth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m from ip5*zx 4iisv kfva8+4oox9 h3tts equilibrium position?

  A 0.50-kg mass is attached to a sprinq(ent3iwzz/sa ,24 bw g 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 equilibrb2z iwe( /twzsq,n4 a3ium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energ-h fc jkutipskz37 k5w62oa8 5 h8vsw0y is 8.0 J at this time. T 5i-skhp 5taf8uwk h302 j6k8 cvswoz7he mass is cut 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 spring of spring constant 20 N/m along a hori4*i672 tp+iccwca pz9p gf+wj)q b e2uzontal, frictionless surface. The w i2zg9)fb e ccwi+p6ca4*p tqp7ju2 +object oscillates in simple harmonic motion and 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 spring of spring constant 20 N/m along a kpy0q..7je u phorizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. At what locatiokp ye.pu.07q jn 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 sprin5hhfmu 4wzt s7i81,f-d .unvhg constant 50 ,fwhui 8s5-4.mthdhz1uf7 vnN/m and 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 o v+bp(y fiq05of a horizontal spring of spring constant 50 N/m and set in p biyo+(0vqf5to 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 fr39ahi45z, ivk nt8ec9;-outm 7 jg7;hougtei om the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. Wha-4i k3ii8;,n a9thu gzcojte7t7vemgho; 9 u 5t is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 3q nlpds3jt*0 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequen0js ldpqn3t* 3cy would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached trwabesmz7g;gk:;q 5 .o a spring of spring constant 10 N/m. The object i:; mz.sbgw7a rqe; 5kgs 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 spring ji65n-0 3 (ixjln2bsjpz1np z of spring constant 10 N/m. The object isxp 0lnj z(z1s nb32i5jj 6inp- 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 frtbga7ch 9r/pc;*2lag;w ) ,ozv40 6s foidwgeom a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What7);oc 0 i*2 v/ wacwhog;6peab9tg4fzl rgsd, is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of, hfs).h jjta+ 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attain)ha jjh,tfs+.ed by the mass?

  Two masses, A and B, are attached to different s4g jadh3zbp+. prings. Mass 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 Hz. How does the maximum speed of Az j+a.p 34hdgb compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches +ya gee qe*o.vjv* +*mib )17d+s wqhuthe spring 2.0 cm downward. Theuve) m++.vd1 +hjb*aqwgi eey*qo 7* s 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 on a spring. In equilibrium the mas i(t5ban0;xmzs stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calcula5 ix;a 0ztbnm(te the total energy of the system.

  A 0.30-kg mass is susx gxa(1tuckwj *2h1b3pended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then 1ugj2wtb(1h ax 3 x*ckpulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus time e 73iha)y+tf.i nlsqe2quatios i+h al)y 7qni3fe.2tn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys thlc ,gg)+f3vmz2o(u9eg9rhez a;) m i ie following position versus time equationze a(r2),c3fgeil gu im+)mg9z;vho9 :
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following posxgvaf)-8x5zl ition versus time equation:x -fxl5a)zg8v
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a s dwbj8bl5 gqi/8a;-sypring executes simple harmonic motion accorbwij; g 5b/ya8dsl-q8 ding to the 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/m oscill47osq)j3fj cbf/c eb* i(y* t4jic7rcates on a horizontal, frictionless b/jj*cc o44 7f3ci q7fj*c by(teir )strack. 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 swings2tr*)li 4njz;2u ex hh in 8.0 s. (a) What are its frequency and perio*t zuhh24;ei l j2)rxnd on Earth?

  A 3.00-kg pendulum is 28.84 m lj2al f0ttht /0ong. What is its period on Earth?

  A pendulum has a periouwe7f37dj6bgz2kvzeo53 /5 p 4nptz fx g9f h1d of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 u-xi /0j6 h wja/jj 7ig0sy(xim long. What is its period on the Earthjj0j6yi i/-x7/(jwix a0uhsg?

  The pendulum of a grandfather clock is 1.0 m long. What is its p,vwzib84yog**97adsa3s o o leriod on the Moon where the acceleration due to gravity is only il dw z4o3s vog ybs89**a7a,o$1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached tob)4 tpv5pyka /nocrm:t :liwgrw:4*1 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 hn) l1c/4kprvyat :5:4wmgi otpr:b *wave 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 initial angular displacement of kzj:fu9 5v-vvt*rraeik1 jug6r 7v :2 8.0e. It oscillates with a period of 3.00 sjg6j 2v1rt9v 7 :k-ariv f*k5ru:uv ez.
(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 "snapsalo-wt(y(*; , 5 sl 3fwdfdamthot" of a wave at a given time. The frequency of the wave is 120 Hz. What is t t5td fwlm;f3 -ya(ws,da*l(ohe amplitude?

  Figure 11-2 is a "snapshn;,bm, u rkidx+ z+y i6s9zs;lot" of a wave at a given time. The frequency of the wave;,sni6bzzky,+ l9;rsxdu i+m is 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given 1dp q1,x.d/ zob1zenstime. The frequency of the wave is 120 Hz. Wn/1edb pos.z,d1 zq1xhat is the wave speed?

  What is the frequency of a waj :k65 rk,ycwmpe. +xfve which has a period of 6.00 ms?

  What is the period of a wave wi.nze1pve q27ky;2cswth a frequency of 1500 Hz?

  What is the wave speed i f lxd,x8y3exy1 w8h v5mfye4-f a wave has a frequency of 12 Hz and a wavelength of 3.0 mey fhdex,5y xf18-xl8 mw3v 4y?

  What is the velocity of a wave that has a wavelength of 3.0 m aa 9tzq-a kdlj-.oh;c8j+sw3 gnd a frequency of 12-ka l9sa8to3 qd;+z.jw hgc-j Hz?

  What is the frequency of a 2.5 m wave traveling at 1400s.svx: f.ins. dude t, 4u+v9g m/s?

  A piano string of linear mass density 0.0050 kg/m is under +z8kmzi *pjmvfr: ,pd+ ,w7toa tension of 1350 N. What is djk *7,+t8pf+m z: zrim,owvp the wave speed?

  A string of linear density 6.0 g/m is under a tension of ta, r;o3::vafvpe9t z180 N. What is the velocity of propagation of transverse waves along pv3: zv,a: ;f9ttrao ethe string?

A wave whose wavelength is 0.500 m is travhciw 12sq ko9v8 :spt0eling down a 500 m long wire whose total map2htos81 0vw9 :cqsik ss 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 propagam1bxudm / / -gc7mmcr3tion of a transverse wave on a 2.0-m long string fixed at botm7mx/gcducm 1 /-3brmh ends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whigx2d:o8pwt d a0(.whqf8 0a4vzy4kj rch one of the following frequeaw02o darkdwzq8htgp v8 :.0(4xyf4jncies can set the string into resonant vibration?

  A stretched string is observed to have four equal segmen q9 g2t+aujcj 6da-64evc x1bits in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equa q6+6xac-1u i e2jcdvgb94ajtl segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a sqpgdi.2ag b9:l t6t.btanding transverse wave patterng6 pt :dgltbaqb92 i.. containing 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 should pb 7 uydxy:u/;f4i, oi-yj9wnits length be if its fundamex:u-w , j u;o/ yi4yy97fibpndntal resonance frequency is 220 Hz?

  Find the first three harmonics of a string of mkvy gg.3,z v+1 f.scnlinear mass density 2.00 g/m and length 0.3c 1k..gvg,fzs +vnm y600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vx8:jk-vff,9- q7ucdn2 euzih ibrates at a frequv-cihu, dz fuf:e87q kjn 92x-ency of 85 Hz, a standing wave 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.