The time for one cycle of a periodic proz t vo8dvhby;0n8b) 1lcess is called the

  For a periodic processpt*iy0k/( ;e-p*om iwxh8va w, the number of cycles per unit time is called the

  For vibrational motion, the maximum displaceme8 x *f0*few lo5*q mx*adj5wqkf4*iygnt from the equilibrium point is called t4j o5g0mw*daekqfx*wq*5*f xi*fy 8l he

  A mass on a spring undergoes SHM. W v)uigqw 6:j+d(5 r:c2akqm bxhen the mass is at its maximum displacement from equilibrium, its instantan5q igq):xackmjdb+6wu(2r: v eous velocity

  A mass on a spring undergoes SHM. tilag))9wwnymjf l7et8(5 ( nWhen the mass passes through the equilibrium position, it l7wl9( ) tniyg8netjaw5)m( fs instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is7;+ cdh-bv*xom luo;w a.s2fa at maximum displacement from equilibrium, its instantaneous accellbsx;f ;vh oc*u+7m- wa2oad. eration

  A mass is attached to a vertical spring and bobs up and down between srb 7b o8ys2o:points A and B. Where is thebb8y7os2 ro :s mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up andu,y,5heevwuwd te7 :u t) zt7kw*a1f5 down between points A and B.ke5w:wa7t5,e7uwuhu ,v z* tyd 1 )tef Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and downy2 ,gklodw)h;iyevgj1. + r -z between points A and B. Where is the m2de.)zg1y o,;rw ljky g- i+hvass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bob ar i64 y 9wl7;hrp2s:xmvremzyu8;u b4).h lts up and down between points A and B. Where isr8l )y:2h9u6vm;merw7i pl.uytax zbhrs4 ;4 the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating masszjsw.2 3,ylg0mff g8q-and-spring system produces what 2glqf0 wj3zyf 8s,mg.effect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produce fzv1t qrt vna i*r/mr9gs54.c js:u/.s what effect on the system's mechanical ener gv ntic.9z4am v.:1r/*urjf r5/s qstgy?

  Doubling only the spring const wbgu4dh09ax )):+lkjktp 3 ijant of a vibrating mass-and-spring system produces what effect on the system's 0jil htk4wg)a:xpd ub)j+93kmechanical energy?

  A mass oscillates on the end of a spring, both on Earth and ny9;f hp g*iawn7)o, jon the Moon. Where is the period the greatest?fioyn gp;n 7,h)*wja 9

  Increasing the spring constant k of a mass-and-spring system cazd:* n2r9 g;q nk9fvt:q-qmil uses what kind of change in the resonant frequency oizv-n2 *r lf;qdq :n9qg9m:ktf the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-jmkbw1 *-t.wu s2k:h))x m skqspring system causes what kind of change in the resonantm2)k:kswjs b1* -wqhxumt.k) frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of chan1 1t3flbjqz 6+krbqt3ge in the resonant frequency of the system? (Ass 6zlrt +qf bqk11jb33tume 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 weightleshzyn19dvfbi83,hlfr.mbv 7 7s string of length L. For t ,9.ni3bhrzl78 v dmfh71fyvbhis system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one compld .i:qjaq:p,a hfw7:0yv x iwlql s/e:ht3;i(ete vibryeii./af7,l;qwqh ip:a 0(hvq :jsd3 :wlxt :ation

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendul mec/haroa 79c.k h:5aum A is twice as heavy as pendulum . 7kmh 9/oa c:rea5chaB. What is the period of B?

  When the length of a simple pendulum is tripled, the time for oh dj4n q-z +l+cu.b 20l5rx.wa hcd2si3evgu0 ne complete vibration increases -n+g.0a u2jhq clv.cwi3zh0d2su eb4lxr +d5 by a factor of

  What happens to a simple pendulum's frequency if both it7t(kvvv9ia* i s length and mass are increasea7( vvvi ti9*kd?

  Simple pendulum A swings ba89pnv+szg9os +nkfj z . .np+7vygjt,ck and forth at twice the frequency of simple pendulum B. W+.yps9 g n.n+,+8z7p 9tjnfvsvozgkj hich statement is correct?

  If you take a given pendulum to the Moon, where th3uv gsp/y q (ggt jt(57d/j:dye acceleration of gravity is less than on Earth, the resonant frequency of the peyqs: 3y /d((gjgp vgu/7dtt5jndulum will

  Curve A in Fig. 11-1 repr77uiy ne ;gcpl2f xy: u-;8w)kg8acyresents

  Curve B in Fig. 11-1 re*due*y wln.8tm06gm5wd dd0spresents

  Curve C in Fig. 11-1 4t .za1 h9bg)3snegahrepresents

  For a forced vibration, the amplitude of vibrati2t y-pi4 y.v2h6tqer. - mxfcuon is found to depend on the

  In a wave, the maximum displacement of points of tg3ofucy*gxi04ft qr: mo;f,ic.j -8n he wave from equilibrium is called the wave' ormoi :f 0fg *cuigfxn.34t; cqj-y8,s

  The distance between successive cre/3 q h /jbh ww:d)yk1ey)idwu2sts on a wave is called the wave's

  The number of crests of a wave passing a point per unit ti03 b ive9x+fplcy qt* 6.oe4qyme is called the wave'4be9 xe ylc3*.vt6qyoi+ fp0 qs

  For a wave, the frequency times5r u3*6kdq q3) t 4fctuemkgt5 the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance between succesf ysq ,fr563mbootes75tc ;y30fop*jsive crests if the speed remains constan;3 cy6t3j,boqeyp755f0s oo t*sfr mft?

  A wave moves on a string with wavelllzhd *t8 g3fc4xl i42ength l and frequency f. A second wave on the same string has wavelength 2l and travels with * zll 3gdhxt8424lcfithe same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a stri*-kq ;( ie6tml-igtkcng of length L, mass M, and tension T. A standing wave is set up. Which oftemci 6k-(l;t *k gq-i the following is true?

  A string of mass m and length L i ,agk(ma:j tn9s under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string ajm9(: a,ktgn if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T 4m4pso6v7+mzc w2 kwi. The speed of a wave in the string is v. What will be the speed of a wave in the string if the v+sw46izmco w pk42 7mlength is increased to 2L, with no change in mass?

  A string of mass m and lenp v. *dfb9un7ygth L is under tension T. The speed of a wave in the string is v7nf9b * dp.uyv. What will 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 travels thron;vq6 r; lcygu0w/ 5ozp6qxp/ugh the Earth, the relative motion between the S wave and0gxwzq5/uy v;6 rpo qn pc/l;6 the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels 5vio1 c2 n:xm,84krn :mtzrcithrough the Earth, the relative motio1nrc2zk8n,:xii rtm4 :mvc5on between the P wave and the particles is

  The intensity of a wave ia78nz5fc, ni m5 *yv:n8tjy wvu.7rhis

  A wave pulse traveling to the right along a thin cihw; bcp,*3:tns ln. cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflectedc;t 3c:b np ns.l*i,wh and transmitted pulses?

  Two wave pulses with equal positiv mrt- m .8q7gou01u.c;xhwbtq5vx b) de amplitudes pass each other on a string, one is traveling toward the right a-80)hmq7.x xomqb1d 5t.tu;g brv cuwnd 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 string. The onee2ar9fm73iibfri-u; 3 e:r jh traveling toward the right has a positive amplitude, while the one traveling toward the left h3fi9j7ruh: ib3mra; r2f-ie eas 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 fixere63sxtxp5b l3a*)wc;nq5wr6 q 3usr d at both ends, occurs when

  If one doubles the tension in a violin sta7p6 *py:cs23 gg v)dx qi0u c0kw6ejnring, the fundamental frequency of that string will idnes7k i:6p* c x0u30aw vqyggcjp)26ncrease by a factor of

  What is the spring coe f2l/i+ ruu4k+hh4v* vjiup,nstant of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspendev l*,kpv f2uhihj ir4/+4+uued from it?

  A mass is attached to a spring of spring constant 60 N/m alo l4fr(9e nj.hczgui0z,try6k(2: q c 2n mcva6ng a horizontal, frictionless surface. The spring is initially stretched by a force 64ayvzf9,0tjcn2:c(q(i. rhn lgu2 kz mr6ecof 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 hto3 ,aumoe 0 6wrjevx5:kte )*orizontal, 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 oa0 :two*r56 )vku 3ejtem,xeoscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fridrz0myra u6ho:v33w5 0 ldb j;elar*+ ctionless 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 equ:r6u w330mh;0ala b *rvdzl 5r o+ejydilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete 88u /lf* 9mgr.:jsxow sxuuss0u5aa, oscillations in 5.0 s. What is the0 / xaus8uasx:.gsm85f*lu o,r9su wj period?

  A mass vibrates back and forth from the free end of an ideal sqz ua3 vk53l y6re;)vnijxba . 72io3vpring 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 0bj qx;k2vzo v336a7 i)ve3arlu.yi5n .30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 Nj,kctn 5pfl 6o-op64 z/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 jpok,-o t5c pzl4f66nf the system?

  A mass undergoes SHM wk)dp0mf( d478a+ sd kmbg rxb3ith amplitude of 4 cm. The energy is 8.0 J at this time. k +x(d4f08radmpbg 73bkd m)sThe 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 liaa z: d *qlv9.a,(nyudj30f a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium positionil0al jdd:f y*3v, nz9ua( q.a. What is the amplitude of vibration?

  A 0.50-kg mass is attached to ab8 itqxbn/a)yk ml5;- 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 n5ba8 xl; k)qyt-b mi/what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizolt 3,b 0xkgwy q01e 6dbh:q+wbntal 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 q0+b: bw we6l,yt1qgk03hd xb of this system?

  A 2.0-kg mass is attached to the end of a horize e9hks)4ja2kjr) q ( cwvz8p2ontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total)q kwkc2z)vr(s 9jhe8ep aj24 mechanical energy of this system?

  A mass vibrates back and forthr06:0hmkmw)kb+ min4e 0lsm e from the free end of an ideal spring of spring constant 20.0 N/m with an amlm0kb)+sre06mim mh w0e4k: n plitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibr y+ 845ws.uzcfw rev)fium position and released. A frequency of 4.v8)sc+uw5y wf .4ef zr0 Hz is observed. 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 spring of spring constant 10 N/m.lmni ;b8 5ts/z The object is 8 zl sb5n/;itmdisplaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached +t xkm-ntq3 k3to a spring of spring constant 10 N/m. The object is displac mq+xkkt3t n3-ed by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hun/x1d h-olf0 krg from a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency odl1 x-0r/h fokf its vibration?

  A mass is attached to a spring. It oscillates at a frequency of um/s)2hc0auo vt9t 5 s1.27 Hz when displaced a distance of 2.0 cm from equih9v m5oacts2 u)/s ut0librium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass fnxl6s6+ x ;bs v2kk3oay,4hw A vibrates with amplitude ohx3+oy2nkf,xs l 4a6bkv; s w6f 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 A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spdp o;.cls cnu/sb qh,53 3z9zf1+qonering. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance 5eldnqz 39zohf,bsqscpo1+3 . cu/;nof 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In eq4lw gk/h.u/ 9p. mva-pix:xpxuilibrium 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 the systwxm.9xgva-pl .pxp/i4 k:uh /em.

  A 0.30-kg mass is susx ln*: fxv29iaji/zn1pended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down*vi j2x9 f:l ia1nxn/z and released from rest. Write down its equation of motion.

  An object in simple hw ox);ri,,inu-hdtx 1armonic motion obeys the following position versus time equat,;hi1-to r dwin)u,xx ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time e 6fa m)7)agqamw(q q4aquatiaa )m)q a6wfa4 (gm7qqon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the foll7k9k((n 4pgma(y joldowing position versus time equationo4da(k l9(nkjg 7 y(pm:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring ye(btk9k r(p -executes simple harmonic motion accordin b( k9kr-eyt(pg 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 witlx965e) brtqg;tdu qg11h(;pb+wcq rh a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, th ;19xe g5wbtdrht1pq q)u6;q (rcb+g le 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 swik4sm801; o lddavpu6hngs in 8.0 s. (a) What are its frequency and period on Ehl 6ud80 a4dok; vspm1arth?

  A 3.00-kg pendulum ihz7 0rymu2d4qbo /gt ;s 28.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. Wha p 9ne:s:uh3m zu:i;a,z k.rukt is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is i(jouy u/)kj)y*z su,ots period on the Eartos uu zj(yyj)ko,/u) *h?

  The pendulum of a grandfathe vco:ec.qdc x kh72);ar clock is 1.0 m long. What is its period on the Moon where the acceleration due to x oc:7)eqdacv; k. ch2gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sph5gc c+x li e,/ajl22tcsj 9bu(erical 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 (samxbcll,iu9j e2ac2t+/sc5 gj(e diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass ha 3blw*0 u. yp)(hhaoifs initial angular displacement of 8.0e. l0 i b*yw p3)oa.hu(hfIt oscillates 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. +d,a4b vs v3lgThe frequency of the wave is 120 Hz. Whatavg + bdl4v3,s is the amplitude?

  Figure 11-2 is a "snapshot-asl.h3z fd:k " of a wave at a given time. The frequency of the wave is 120 Hz. What is :.f-dk3asl hz the wavelength?

  Figure 11-2 is a "snapsap h:*m lr54bihot" of a wave at a given time. The frequency of the wave is 120 Hz. Walih4rb pm: *5hat is the wave speed?

  What is the frequency of a ppl-6(q ,z, (75 vsivscti uhxwave which has a period of 6.00 ms?

  What is the period of a wave with a frequencys(ry*i -xjpdp-;tgb- of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength ofxij- ,* d oo5+0oxchec 3.0 m?0 cedx-+,oioox j *h5c

  What is the velocity of a wave t xy nv) qc/nh 6*;gba*f8i8ckvhat has a wavelength of 3.0 m and a frequency of 12 H*i;v 8fxqnb)6 /h cky8* cgvanz?

  What is the frequency of a 2.5 m wave traveling atr3h7 pda0z y dgnm,1v3 1400 m/s?

  A piano string of linear ma/0u0b ntoj5rrss density 0.0050 kg/m is under a tension of 1350 N. What is tjornb/t0u0r 5 he wave speed?

  A string of linear density 6.0 g/m iscz8, 4tqsy 4vf under a tension of 180 N. What is the velocity o ,sfv44yqt8 zcf propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is tr x-r zwvd1gl7v5ts4q2t:. he waveling down a 500 m long wire whose total maszh:w1 xtd7t wgq2e svv-5l4.r s 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 transversshhd 0 ; bk7+q7y* qpap9bsw4te 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 frequen t dkp9 abhsp7;y7q0+q hb*sw4cy of this string?

  If a guitar string hasyifx4+2e 9jkg a fundamental frequency of 500 Hz, which one of the following frequencies can set the strinegky94 2+if xjg into resonant vibration?

  A stretched string is observed to have four equal segments in a st/2xi ,fx5 um pkigpk21j ca+4tanding wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave wip2fk2xupk i 415xg+ at/ji cm,th five equal segments?

  A string, fixed at both ends, vibratd7i5h qkg-ko4 es 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 ogd- 5 hkkqi74contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should itsg5r c h5nda6v,dgs1b; length be if id a;c5 vgbshr,g15dn6ts fundamental resonance frequency is 220 Hz?

  Find the first three harmontuk :3 ufbeq;e2uwo4. p96yghics of a string of linear mass density 2.00 g/m and l pg92.4w t u:ufoy3b k;eu6ehqength 0.600 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 s+npt3.jlyj+gy;;tm t28o uqp dn dlqx2 (c +8string vibrates at a frequency onq 2dl ( 3t d+cmpxtj. tl8pg;y2qy8 ;+uj+osnf 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.