The time for one cycle of a periodic process is cal,vik)8 gcse y(led the

  For a periodic process, the numberjkg ro+d77m g0t 4bjs2 of cycles per unit time is called the

  For vibrational motion,r:z0 lq vo a/jqbevc)p;pj3ol5b60.z the maximum displacement from the equilibrium point is callz;q)0b a/ov:3 b zj.l qc0el5ovp6jp red the

  A mass on a spring undergoes SHM. When the mass is at its ma ,m8yl *vwm,h9b9ex ahximum displacement f m,*b8v9x 9,mewhlya hrom equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes thrsxi,6 ((cjtbqough the equilibrium posicx t6j( b(,qistion, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum dispn ruf:sb3f(6 ulacement from equilibrib( 63fnu :frusum, its instantaneous acceleration

  A mass is attached to a v, a,/pz:t 6/ d,*jx 9rlfjnznb zjevr)ertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a minimup,tzjnlzejfx 9abjr: 6zr,v/ d )*/n,m?

  A mass is attached to a vertical spring and bobs u )b59u ao5zuiwb:h)6b) zsvlwp and down between points A and B. Where is the z:6iw vw5)5bzab)h )ubusl9omass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betweeaz3z5 ozqpw,lamz j 10uyd0/+ n points A and B. Whereu woj5p3ya d+0m0 ,zzlz1a/z q is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points Alg z, )obhn+m8kukt8 0 and B. 8ombu 0)htnk,kg8l + zWhere is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vja xx(nfu95v0t4ff (wibrating mass-and-spring system produces what effect on the system's mechanical en xv4 af(0xt9nfj5 u(fwergy?

  Doubling only the mass of a vibrating mass-and-spring system produces what enh*o-n pcn cj/g .,a5yffect ocyp*5-njonn/ c .ga,hn the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system promn p.8. 7yh2pcas-tjl duces what effep-jp2nas.yl8t ch7m. ct on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on theg-83 uyr1 s0mbrrkm3z Moon. Where is the period the greazb 8ku 33ry-rmgsrm0 1test?

  Increasing the spring constant k of a mass-and-spring systb47k 9lgdl g2x)/cpclem causes what kind of change in the resonant frequency of the system? (Assume nox9g4c b) klpcg27ll/ d change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of ch:ufrf5v 8 /kgv hpe,)mange in the resonant frequency of tv8f/kg vh eu :p)5r,fmhe system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causesdyzxf j3rd ; vm6.(7nlrim o.x4gl+*k what kind of change in the resonant frequency of the7md x ly3nm6zr* od.rj+;xlk(4 gv.fi 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 o )vg 4;dxdg.ptf a mass M attached to a weightless string of length L. For this system, when undergo x)dt;.g 4dvpging small oscillations

  When the mass of a sim)xg p xm7 (.jdyn 0(xv7g+egzople pendulum is tripled, the time required for one complete vib)(7jdy0pg7 nmox.gvxxz ge+( ration

  Both pendulum A and B are 3.0 m long. The perid w+kc ,b5 atleh1j0-tod of A is T. Pendulum A is twice as heavy as pendulu1ej -dcwt, hb0atlk 5+m B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one completeftx jp(7 gi;)u vibration increases by fx7 g tpj;)iu(a factor of

  What happens to a simple pendulum's frequency if both its lenrr 2pc3,7gws ppc3o6j;dr,d agth and mass are incrsr 2d6 o3 dwacj;ppc,,rr73p geased?

  Simple pendulum A swings back and forth at twice the frequency 7v.1/zv s ,ma4fyros 3lgv*mo g)+f iwof simple pendulum B. Which statemea471z3mwv vmo+v l* /sff oi,g)ygr. snt is correct?

  If you take a given pendulum to the Moon, where the acceleratio:k e.xv5wmbi2n:+ ngnsi+8eu n of gravity is less tn: uewv5xnkg +sni2+i m.:e8bhan on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represx3e+ 5nktvnce ;ye4; pents

  Curve B in Fig. 11-1 repf62 e 8zteq7zntej -m)resents

  Curve C in Fig. 11-1 represeny 2u p b/;t;d gfvu-3yx*5zv7noqnt,bts

  For a forced vibration, the amplitude of vibration i analmthf*: 94s found to depend on the

  In a wave, the maximum displacement of pru0y (4ho e7dpoints of the wave from equilibrium is caldr0eh7pyu 4 o(led the wave's

  The distance between successive c cyssn/7y td d0wis5/0rests on a wave is called the wave's

  The number of crests of a wave eq rzh9.83pqb lx2vl7cwf+s0;9 fi pjpassing a point per unit time is called the wave'ri+ felcv p hxb93qpz92.s 07jwqlf8;s

  For a wave, the frequency times the wavelength is the wave's/2zftt09k j99jbh r es

  The frequency of a wave increases. What happens to the distance between 5(ae)u7uz . em2npomy successive crests if the speed remains consta 7)u(nu.pmz2ma5 eey ont?

  A wave moves on a string with wavel46tune 4h ;nhsength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequ 4 h;nht6seun4ency of the second wave?

  Consider a traveling wave on a string of length L, ns/ su,k5wphy w,h3n8 mass M, and tension T. A standing wave is set up. Whichs, s wh,53w8/k unnyph of the following is true?

  A string of mass m and length L is under tension T. The spsoq y 8 +e+)ni/ua 9(4ogekwhgeed of a wave in the string is 9/kgn )hu4o+wye(osqa ig +8ev. 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 length?

  A string of mass m and length L is ungb y/uhckr. r-* xx-:rder tension T. The speed of a wave in the string isxy/* rhgk.-r:bc u xr- v. What will be the speed of a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and l)7hxfe .6t(n eaaz 8lvength 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 tensi a)e nz76.xva8hl fe(ton is increased to 2T?

  In seismology, the S wave is a transverse wave. Apgv r:sb) 5l/,bp tta1s an S wave travels through the Earth, the relative motion between the S wavr : gpv)lst,5a bb1p/te and the particles is

  In seismology, the P wave i f8u1y+y hefws//rg 45bu ny;ls a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wagyn5;1frue/4usfy b/ +hwyl8 ve and the particles is

  The intensity of a wave ic6lst*a5 0 uqss

  A wave pulse traveling to the rtjg 19 0k6kbmpight along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the9kj 01mkbgpt6 orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on 7d bx m5 j-,v)pbh6 acfvmo0e-a string, one is traveling toward the right and the other toward the left. At the po 6dbov-af e 5p0mhxmjv c-7b,)int that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling towar k:qpbblk aiu28hhj55/sx(2vi 32sy gd the right has a positive amplitude, while the one 8bh5 a s2 ljqvbsu(i/2gk3hkp 2x:y5itraveling 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 bo(f i 3gbfn6y mm8vp(*gth ends, occurs when

  If one doubles the tension in a violinn+ e1s;z oxh4vne(8 gv string, the fundamental frequency of that string will increase vns1x 84v(o;g+ze e nhby a factor of

  What is the spring constant of az*+do63vfv kyt ;1cnf spring that stretches 2.00 cm when a mass of 0.600 kgt *vf d1 czv6y;+k3fon is suspended from it?

  A mass is attached to a s/(qrw n* ut x hf*hto)+;y cbbftc-:m+pring 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.h*yhmft :f)/;b- ot xnuc b+r+ cqw(t* 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 horizontal, fri r pbgmaa6,95,xdb5,idgr tn 4ctionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. Id a, xmb5n pra654ig9d ,rb,gtt 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 o/il*3xnkj5;r a nf9qconstant 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 or5x9qj/3 nn;alk*if go back to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It njw54 1inrsn*goes through 10 complete oscillations in 5.0 s. What 5j1 nw*r4insn is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring co ,v pkvny2q3.qnstant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of thin2.qvvyp3q k ,s vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a v1727evgwhfw o9)dvi 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 is the total energy of thewwfo7diehgvv 9)v271 system?

  A mass undergoes SHM with amplitude of 4 cm. The ener4fudt.: v p+kz**edmx in 2zi9y+bwuv(-m pn9gy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4 .v2+9zy9:n up muev(mz*dn-wdki pi bf+xt*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 o2l*.c-xq- dpg)rgg.esvvy) yq 35j ralong a horizontal, frictiovr)3p ojy d.lg)gqr*5 y 2 -cvxe.sg-qnless surface. The 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/m5-v7we8zqfo k 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 kinet75z-v ke8q owfic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal sprfxwi.:,q5gf pz ocy-8ing of spring constant 50 N/m and set into simple harmonic motion w5ciyo,z8w.:- x qpgf fith 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 horizonlj4ok sa jm,54tal 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 syssjl5oa, 4 mjk4tem?

  A mass vibrates back and forth from the free end of an ideal spring og a0 otz*jl0o,hd h2z0f spring constant 20.0 N/m with an amplitude of 0.250 m.02lga0hh0z ,*jzdoto What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from0 +*85outc-uwnwpdcfe41a x h its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if te op0+ch 8 1uadu w4nxfc*5wt-he mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. o v/z9w m.nb xmn8(wd4pbege,la9 y3 ) The object is displdoy m/9g,9m4n 8b e(z lwxwp3n)a. bevaced 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 N/m. The obje, dr3 n4qvy *g9t3(kkvz/ ttocct is di*3 tc 4v 3ry/,9zv(ktqtn odgksplaced 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 constant 18 N/m, displaced sl,h,-bvm y5 +4xjt+w v hqivej9ightly from its equilibrium position, and released. e h5 vy9q,jxth+vw-i mv4b,j+ What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hcms ce5u;a:/x z when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by thecmcxe as:5/; u mass?

  Two masses, A and B, are attached to different springs. .s()pxu/mo 9n gt kks*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 o)ump kgxs /*s.n(kt 9Hz. 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 sblsdz(hoq /, o,9t wd n0z.*mz8dvh+atretches the spring 2.0 cm downward. The mass *woh9hs+zmddb nz,q,ld( 0ao z vt.8 /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 equilibriumyp34f tk drqg yv95ymx4t-;0 d 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. Calculate the total energy of th54rk9-py0q3xd g;my ttd4fyv e system.

  A 0.30-kg mass is suspended on a spring. In equilibrot*0:p g xphsd5pe(2 zium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distanc0 hpts2 x5*(ppo dgez:e of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the followifc pc(a. t*6co1peoh1ng position versus time equation:c e1p *cft 6(1ph.aoco
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motiov(okt tuugo aw-: v,on* g*5(zn obeys the following position versus time equa( :- toow*k vuau*v ,gogznt(5tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the8tdzlmv6*w 0-uy bj v*zn6yv. following position versus time equa 6y *vtjw0vumvzb.ndzl*y 6-8tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to thezl zj0(v+:g jc free end of a spring executes simple harmonic motion according ljcz +z:gv(0jto 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 t6 c lekmidwcrf32shqn9a /+42o spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, th3 a nhl42s+we6 /kqdrcf9c2 ime 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 swings in 8.0 s. (a) What are its frequegy ns*akobp4v0je9 : d.oki 7of*wa:5 ncy and perio9:own4sb*y i7a*jfodo. a k 5v:kgep0d on Earth?

  A 3.00-kg pendulum is 28.84 m long. Whf (bq0jw*lgv;*j d,b hat is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its len8eb (m jgp- 1cuofh2u.gth?

  The pendulum of a grandfather clock is 1.0 m long. What is ito-b*00 hl 9kvyw,qm).kyp zdys period on the Earthp lyz 9* dmky0k. ,0by)vowq-h?

  The pendulum of a grandfathery2s c:tbsmd(pyk/0o);cxjq 2 clock is 1.0 m long. What is its period on the Moon where thq20b(cys yx:cok d ;2tpjs)/me acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sphekh*edhn7- cd f8l -v0pv,hb-jn)*n x mrical 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 been attached j*dvm n8-pn-hfxh7vk* d,b chle0n )-to the string instead?

A simple pendulum consisting of a r6x)+g nuby3c7.d mhf20-g mass has initial angular displacement of 8.0e. It oscillate y .rb xd6n)hcmg+7u3fs 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 "snapshot" of a wave at a given time. hpfq(q- 43 enctl, j6nnq fg;7 The frequency of the wave iq3t q,7f( jg nn4ehp;-q c6nlfs 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The ffexf,2;snwxd:oj e-q kb)*n* requency of the wave is 120 Hz. What is tx e 2n,d;o-w*s:)fe bq*fnkjx he wavelength?

  Figure 11-2 is a "snapsuh89qitgn ccw/lh wa bnr4, f85czpfg69;s0( hot" of a wave at a given time. The frequency of the wave is pqn6 r4a8(g,w0c/t8 h99fz;wcb g5nchi uslf120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period ofpcx;42yr2 -o/ fka emg 6.00 ms?

  What is the period of a wave w*7;mqa ws,6g emu -pbwith a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequencyn,l )rjh hrc x,fx:1w8 of 12 Hz and a wavelength of 3.0 mfjxl,x , h)w1n rch8r:?

  What is the velocity of a08hadisb(dox g(q8v-sy f(d: wave that has a wavelength of 3.0 m and a frequency of 12 Hz?q:osisd g8df0a(8(yvh-x d( b

  What is the frequency of a 2.5 m wave traveli6: lmjefkk45 yng at 1400 m/s?

  A piano string of linear mass density 0.0 tdb8aae3k* :1n*huvt 050 kg/m is under a tension of 1350 N. What is the wavebvtuae18 k*da:h t *n3 speed?

  A string of linear density 6.0xw7;qvy.w fh7s/v14o t8i e bj g/m is under a tension of 180 N. What is the velocity ofw f7xje hwqvi8/17. yvso;bt4 propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling ao+y5r-(i6b)imwv 2ckdm)t c y:i (xidown a 500 m long wire whose totwm d-)(yi+vicr(62t )5m bxai:iyckoal 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 transverse wave on a 2.0-m lx y:ambu4 bu(zv(,f+n, i* th(j4atplong string fixed at both ends is 200 m/s. Which one of the following is not a resonan, 4ua(z4nb ( +b,mt(ljf:vpyiaxu*ht t frequency of this string?

  If a guitar string has a fundamental frequmomujw*k a5 edn q7-t.0w:y4lency of 500 Hz, which one of the following frequeu:jyw5 k70-wo.aq emt l 4nm*dncies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in xw: n8y nfe::a-qas( r5py y-copd97v a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with fx-y9n- spo:r pe :v58f7yc aanq (dwy:ive equal segments?

  A string, fixed at both ends, vibrates at a frequency ko tov e*npq.e 4p2c (;f;,zl( 7xwnbeof 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave p p2b(q x.v f;lzoo7 (enecet4kp; nw*,attern is to contain 4 loops?

  A string of linear density nn9f/32(bx d p yx3)jhdpqd2q1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency is 9d3)bnxdqxyf32h(p 2/ npdjq220 Hz?

  Find the first three haag:ryl p2x/*7*bmo.7ke rn utrmonics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tnrl trxyoe2u: gp mb*7a7k.*/ ension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the stri t isb,c-o.u:yng vibrates at a frequency of 85 Hz, a standing .cis-t y:, ubowave 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.