The time for one cycle of a periodic process is calle3 oor;(j yb)ngd the

  For a periodic process, the num1o . 9tnix0atjber of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equi0tb,x-nps + sdlibrium point is cad0t,ssnb+ px-lled the

  A mass on a spring undergoes SHM.83ts ;vuqkv8m When the mass is at its maximum displacement from equilibrium, its v8k8 vts;3muqinstantaneous velocity

  A mass on a spring undergoes SHM. When the mass esn2 hz0*2a2/fcqxns passes through the equilibrium position, its instantaneous veloc0e* 2s/fxsc2n h2za qnity

  A mass on a spring unvno0x/f0i vf- o-/b,xez bl8fdergoes SHM. When the mass is at maximum displacement from equilibrium, its inbv ffe0l 0-xvno/ fzxi8bo/,-stantaneous acceleration

  A mass is attached to a vertical spr*umjxb/z;k j7 w ,it6fz2ake9 ing and bobs up and down between points A and B. Where is the mass located mtz;7e9x6 j*ub a/kfk2jzi,wwhen its kinetic energy is a minimum?

  A mass is attached to a vertical spring and booj4 q6vey ,m+zbs up and down between points A and B. Where is the mass located wh,6ez+ o j4qvymen its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up andajc2-x/b- nl 96(f0 bmkcknr p down between points A and B. Where is the masspm6(bl-n 9 /bcj2kckrx0fan- located when its potential energy is a minimum?

  A mass is attached to a verty; wwj-o,/vp aical spring and bobs up and down between points A and B. Where is the mass located when its potential ey,o;v/p-w wa jnergy is a maximum?

  Doubling only the amplitude of a vibrating mass:8j iepgecol ;8o2/jh-and-spring system produces what effect on th/i :o elc hp;8eojjg28e system's mechanical energy?

  Doubling only the mass of a vibrati j37qfm uo)a4 ktwam94ng mass-and-spring system produces what effect on the systemmauwmq4fka to)739j4's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-shyzo.-otvk + eic :0b-*qro6 jpring system produces what effect on the systi-j o 6:to0v-yq+e. bcrhzo k*em's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon.x/s:ftbfq 5g6 fnw3yud4pg), Where is the periodf),n4y :6f/fg w5pqu3sbtxd g the greatest?

  Increasing the spring constant k of a mass-and-spring sysq.q yz2r 6uyw/ ,pv(kbtem causes what kind of change in the resonant frequency of t/qpzrw 6v,yu(.k2bq yhe system? (Assume no change in the system's mass m.)

  Increasing the mass M of rr h.p(yj2l;p a mass-and-spring system causes what kind of change in the resonant frequency of thjlyhpp r2(r. ;e system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sprin-b4n5 p.pg kge;iyf ix l 8xd21x;g w23he;mcmg system causes what kind of change in the resonant frequency of thipgex 2.8i bhxe5pdgl2 3k;gxyfn;4-mcm;w1e 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 mb.i)ozd7w ,g*qvu b .th9/y3 6muov ekass M attached to a weightless string of length L. For this system, when undergoing small oscillatiqheyug.w di ozv*k /bm6t7u9o3)b., vons

  When the mass of a simplef 8q;2fq wyircgs(8i) pendulum is tripled, the time required for one complete vibration s)c( i2i8qqw rgf;8yf

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twi/yc qn,;hmf7y ce as heavy as pendulum B. What is 7,hnfqy /cym;the period of B?

  When the length of a simple pendulum is trip ta 1r 5o3awcvv0o1tg5led, the time for one complete vibration increases by a factovoa115 a3gv0tocwr5t r of

  What happens to a simple pendulum's frequency if both its length and mass are ie(ssukd.z z4q ;man ou45(5c xncreasesqm(kzo5 d;u a s44n5ez.(ucxd?

  Simple pendulum A swingsak4 1 *lhjcirk d 2)df)mm9+ azcev8t/ back and forth at twice the frequency of simple pendulum B. 1*)a dj2+c fh9amdl tvr8 zm)c4/ keikWhich statement is correct?

  If you take a given pendulum to the Moon, where pehy: l-piu-( the acceleration of gravity is less thpe-h-pi:ly u( an on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 rzz t7)5v7 mi0 ,n.qrf xca6qrgepresents

  Curve B in Fig. 11-1 r lsoh*pt+;d:lai1 :moepresents

  Curve C in Fig. 11-1 r);fop.el( mng epresents

  For a forced vibration, the amplitude of vi4f i2fgpbfe;t *yw8 m)bration is found to depend on the

  In a wave, the maximum displacements 05*s (ytvu2kyd3nri of points of the wave from equilibrium is caliryn kvu2*sdt0y (35sled the wave's

  The distance between successivea (yag-5 s74fxe1 htzg crests on a wave is called the wave's

  The number of crests of a wave passing a c6z8ays(7p bypoint per unit time is called the wave'c8 z7ayy p6sb(s

  For a wave, the freq0b05ubu. cy8bfc5r qauency times the wavelength is the wave's

  The frequency of a wave increases. What happens to the dicubmp6 pghm- fo65sg ccf-wz7:9g iy.)).ofm stance between successive crestsw fp)gsf ):co .z6.y 9chmb - 7cigmfg5-u6pom if the speed remains constant?

  A wave moves on a string with wavn 8y7ya;k uyi.elength l and frequency f. A second wave on the same string hasyayn7;k 8 .yui 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, and tension+3.cm,ntt *w1rosho e T. A standing wave is set up. Which of the followin*+onsr o t.wm3e1hc,tg is true?

  A string of mass m and length L is under tension T. xmd1;l:(fb3jo ft7wa The speed of a wave in the string is v. What will be the speed of a wavexlbt:3jo1 f;(wa d f7m in the string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and lengtn550dsn;i 5m n: qoh*wx0h znvh L is under tension T. The speed of a wave in the string is v. What will be the speed ov 05nnn :sxhq z;m0ow* idn5h5f 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 is under tension T. The speed of a wave hw-mqlf 45n9q in the string is v. What will be the speed of a wave in the string if the tension is i95nl4wq -qhmfncreased to 2T?

  In seismology, the S wave is a transverse abhchz w: hf5 ..eap:.a9.virwave. As an S wave travels through the Earth, the relative motion between th:9a h:eazvpi5fhha..r cb. .we S wave and the particles is

  In seismology, the P wave is a longitudinal xwm;. bhfo4b4ka0;gmp a::fq wave. As a P wave travels through the Earth, the relative motion between the P w.kg:b am;x0f 4h;fqpba4om:w ave and the particles is

  The intensity of a wave8pv d1b; ; hw mp;ec8mbn+)gbj is

  A wave pulse traveling to the right along a thin h /f c yezbo*:6:e g/hjrv8a8fcord reaches a discontinuity where the rope becomes thicker and he:6 /*r yevf a8h /eg8:fchzjboavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes payj2xneqg d2 6gsi) ,:ess each other on a string, one is:2gg)yixnsej2d 6,eq traveling toward the right 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 string. The ojb370 ocp zre r/46yjdne traveling toward the right has a positive amplitude,/ocdj 0y7er 6b 3zr4jp 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 the same time

  Resonance in a system, suc,xcci vc:jol7td h2 w *//bnu7h as a string fixed at both ends, occurs when

  If one doubles the tension in a violin e 2 81jbx n76uix3kh,gcwp9er string, the fundamental frequency of that string will increase by a factor h kxncig8e6 p7b9jre u2w 13x,of

  What is the spring const s x;+af y dif9e(9)igfzl -+xp1y7vsoant of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended fro) 7zsy++(9 vp9;exgi1fff ilx od- yasm it?

  A mass is attached to a spring of spq)qd69nxo8yzro / ke.ring 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 it9z.q6rq dokny )e8xo / is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontao ykblaqfod,i 93ufh: i 4:1l9l, frictionless surface. The spring is initially stret99o l,lfiaohyq3u 1bik :f :4dched 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 sprxlna+ -t3lkh/ing 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 a-3hx/tllkn+ its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations in 4 w65 wps-/ly3m dmrns5.0 s6wsmp 5 n4rdw3 s-l/ym. What is the period?

  A mass vibrates back and forth from the free en6l- +bb ud 8+;u3w:ckl6x1 hxaistapkd of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of thc ltaxu-ud+w8 slh6x1b 6 kp3;+:akbi is vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constano+ d*if cu8ns;h;dwtm9( nt,x ,rq5c2zz p8hnt 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a spe8zcoh d;zh8,nt +2mxsn;i w*(q,tuf p5 drn9ced of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitcmgqs*bq-w(, ;fjq9 jude of 4 cm. The energy is 8.0 J at this time. The mass is -mqw,9cgs*bq ;j f(j qcut 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 attached8xof + px2i/by6b ge)h 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. What is the amplitude /)pox bf xg hi+6e2b8yof vibration?

  A 0.50-kg mass is attached to a spring of spring constan(10tf ;fbrq,l2bgud.bik +m0xaxi(0ssx)g rt 20 N/m along a horizontal, frictionless surface. The object oscillatesfil)g0;gd bb0usr ,x21b ( . ais(mf krq+0xxt 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 same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring cons08z :mgumwqbyi e 5s-2tant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total qwm8 5:sg0zy2bmeiu -mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizo:) .guhgvro5s)equl5 ntal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the totalo 5u)l.hq vuse):g5gr mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spr -.7ups2p ktq 2a7valging of spring constant 20.0 N/m with an amplitude of 0.250 m. What qlv.pa7 2uas7t2kg- pis the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10/b)euy gj+y ,o cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency woyjouy,e+b/) g uld 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. The oqrdl(,b0v d;mbject is d; b(v0,lrmd dqisplaced 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 object j di kqzv9-g0c6ov(6s 3ee+qbqx m8-eidj(8oqiqemc6eskx+z- g-0vb6q e v 93s 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 from a spring of spring constant 18 N/m, di8dl,i5jdou ,e7gv c7.aufln up n p.3)splaced slightly from its equop.jculpe85,iddn .ua7 n73 gfv)l,uilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz w*qqh, goa (,.; 5zaks g/rkxmlhen displaced a distance of 2.0 cm from equilibrium andslmr zak5g *(/k,,g.ox; q qha released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass .plj1au:9ogeq ,tx j.zb0i(vA 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 qjj.op gu.:vi(x e9al ,0 zb1tdoes the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilir 9kfxfy c+45svq5zt: brium 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. s:rt9+5 xycz v4kfqf5Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a sprin43aefi ofzy k 47v6m-i fy2+ fk.4takng. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional difzfika 2m.y3fvo7y+44 a e6-t4 nkk ifstance 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 massiqet co:hgp 6 (mh; w21ya/b3j stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of mo2(jycmqte:ao /phwh1i6g ;3 btion.

  An object in simple harmonic mot6izl wy 6)w 8fmqrh26bion obeys the following position versus time equatz r)lmwyb6i6hq28 f6w 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 versuw- g220j+d +imda6wpyrig n1u4 4 vcsas time equationca s v ip02r+2yw+din44- mj ugawdg61:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position wqh6n80 on 2ekversus time equation:ewo8 nq6n2 k0h
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring exndube ) )i8vo: o8hsh0p y;tj3ecutes simple harmonic motion according to the equationo:v;ps e d)h8)iot 80yjbh3u n $y = 0.50 \; \sin (18\pi \times t)$ 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 b0/ na6zut8 eupb.wh *of 20.0 N/m oscillates on a horizontal, frictionless track. At t= wbe p u.0z*an8t6/ uhb0, 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 swings in 8.0 s. (a) What are i1/ gmre.xutc 2g : tne3ezmu,(ts frequency and period onmcg1uun3r 2:emzext /g( .,te Earth?

  A 3.00-kg pendulum is 28.84 m long. 9j2 ,epwl f*qg What is its period on Earth?

  A pendulum has a period o 8yvh gpg3bp,f*g:*+wiv lp1vf 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. W8;kr4o2se-hw7ax r uy g4s-xlhat is its period on the Earua; lxr4-s8e2sk4x gw 7 y-horth?

  The pendulum of a grandfather clock is 1.0 m long. What .by./zs6xnf i4 gjy ;eypw);cis its period on the Moon where the accelej;4g x/wy fbz;y pyesci)..6nration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consistss 0dri).3ve hx of a 0.25-kg spherical mass attached to a massless string. Whendxe)h3rs i 0.v 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 to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displace2-eahc;uqsz 6.u; dsh q-t0g cment of 8.0e. It oscillates du;gesha;uc .-0s6qchz2 qt-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. Thg6brlgx27lf7;ab5 a3.a kg vre frequency of the wave is 120 Hz. Whatb7fggx2ab7 g;a .rvla6 5rl3k is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequen;r28fbjghl:acxt k369 y awb .cy of the wave is 120 Hz. What is tw x:r9 tlb;c82ah.jkay 63fbg he wavelength?

  Figure 11-2 is a "snapshot" of asg9yrk3 t;ls4b ug )d; wave at a given time. The frequency of the wave is 120 Hz.l3;;gbr y9s t4s g)dku What is the wave speed?

  What is the frequency of a wave which has a periodf4ltbj4f vck. u0kc.. of 6.00 ms?

  What is the period of a wq s8/nw myrm,ry-+y0oave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a he7vj gp0,.d)9la sf hwavelength of 3.07hvhge9 j,apd0 f)l.s m?

  What is the velocity of a wave that has a wavese* ueu s;74jjlength of 3.0 m and a frequency of 12 j7uj s;eu*4se Hz?

  What is the frequency vih0;7k43 g11jlysd z nv5xhqof a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 q,er do0e.i ndzm1:h, N. What is the wave i :me1n, h,qde.0rzdospeed?

  A string of linear d4m.p xjg)*pmbirm q -+ensity 6.0 g/m is under a tension of 180 N. What is the velocity of propagatiopqmmx bg4 .-jir+m) *pn of transverse waves along the string?

A wave whose wavelength is 0x-0tstom k-tg88cf 9 sp9wi6z.500 m is traveling down a 500 m long wire whose total mass ik9sio 69t st0zp 88 wt-m-fcxgs
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 propag;fuw (io22j5qqog +y ration of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which o( 2gyqq u ;orj5of2iw+ne of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the foz:zk2(, fokc1 ps m/p4)idhgbllowing freqppdhmk4o:sk(b z 1gc/z, )2fiuencies can set the string into resonant vibration?

  A stretched string is observed to have four e-18kva c9bzhbk5m4 y vqual segments in a standing wave driven at a frequency of 480y8a459-1ckk mbvb zvh Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hy ob6z.l6qw vjmf;+0 hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wal0.6bjm v y+6zhoq fw;ve pattern is to contain 4 loops?

  A string of linear density i9y7.d rg, hebbt)w c2y47ha n5f(roi1.5 g/m is under a tension of 20 N. What should its length be if its fuy2wfht7i gdo(,rn4eb9i.hy5 a b c7)rndamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string o5pc(cpd es(id1murie.w,t8 ti. 84z of linear mass density 2.00 g/m and length 0.600 m when it is subjected to eiwt(zepo 4,idci8rt5.ds1(mp .u c 8tension of 50.0 N.

A string of length 2. ohz c-h dx3,9wbe iq3fn -mr-ce6nu1(d(s. wg5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with fiv( 1u -d ,sg6xn nd3wzriwe.(b-h9 fco-hmce3qe 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.