The time for one cycle of a periodic procen 9g3d5hu/e/m cn : f2htuw1zess is called the

  For a periodic process, the number of cycho2sgm98x(cqo ( a7t1i b( vxoles per unit time is called the

  For vibrational motion, the maximum displacement fr0epe iuf++* t qmwx2d:om the equilibrium point is called thmu:id e*qw0t fep++x 2e

  A mass on a spring undergoes SHM. W3zi 3im5ga hh,hen the mass is at its maximum displacement from equg3ahi ,im35 hzilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. Wheki o4q;. twai2n the mass passes through the equilibrium position, it2wq4kao ;i. tis instantaneous velocity

  A mass on a spring undergoes SHM. When the masom k; b liqq.x+42tyt4s is at maximum displacement from equilibrium, iqt 4x;ml o yt4ib2q+k.ts instantaneous acceleration

  A mass is attached to a vertical spring*6,)nn .xqi aew3h 7m dwepj;g and bobs up and down between points A and B. Where is the mass located when ie,n qm)*7 6xp ghwdi3jne;aw .ts kinetic energy is a minimum?

  A mass is attached to,xo2uc+i:/djqs dvo78 fss vw;w4s d8 a vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maximcds47 ouv8s:/;xis8dq 2 s+jwvof w,dum?

  A mass is attached to a vertical spring and bobs up and down betsn hfi: z+w(ftb :t8x5ween points A and B. Where is the mass located when its potential energy is a mitzihb xfwt::(8sfn+5 nimum?

  A mass is attached to a vertical spring and bobs up and down betweew+3oo y 48l1vj mrj8d 0nrv;sen points A and B. Where iss v;o0ry3r8 w8jon+v1meljd 4 the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system new 21b.w a/4imt7wb rproduces what effect on the system's mechanical im24e/ar7w1bnw.bw tenergy?

  Doubling only the mass of a vibrating mass-and-spring system produces wbtjr (c*8 jn4ihat effect on the system's mechanical e(icj 8btn4j*rnergy?

  Doubling only the spring conekn4y nel8t nkq72 a6)stant of a vibrating mass-and-spring system produces what effectl k4y6)7nne 8e akq2nt on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Whh 29nmi( .qutxere x h(nu9t .mq2iis the period the greatest?

  Increasing the spring(nd+: hy2yic)t wtt9wf7try6e-hn5 zgyfs. + constant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system'67cy sn -tz+wte5+i)fy2 hw9hf. dy(r t:tgnys mass m.)

  Increasing the mass M of a mass-and-spring system causes what 1niq15t e+zed aneu-;h(2 9 ngz/vare kind of change in uh911;ner/diae g qv(tz +-2 5eaznnethe resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system b9 +zsy h26wo f0s8oim2w2p k m0r6jtxcauses what kind of change in tkwijoz2 0hrs9mwm26s 06+typ8bo 2xf he 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 consivd2uvy * +m)justs of a mass M attached to a weightless string of length L. For this system,)*+ 2yuudmjvv when undergoing small oscillations

  When the mass of a simple pendulum is tri9fi4zg 6 h qxt46q8+l k/baenzpled, the time required for one complete 94iaeqfz4 h+z gxnl btkq6/ 68vibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendul 0u99 fos7p enr7w7pp y8a)nifum A is twice aynppie7snr f8a9o0 7)uw79f ps heavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the t0,qdx zl sy.i(ime for one complete vibration increases by a factor o( , szq0yilx.df

  What happens to a simple pendulum's fxzsio:r/2 55b sk .yadrequency if both its length and mass are increaserkz:xs/.o2i bsd5 ya 5d?

  Simple pendulum A swings back and forth at twice the frequv0izbrdca2dq8;c7 f5 ency of simple pendulum B. Which 0c ri2dbc a8zv;qd5f7statement is correct?

  If you take a given pendulum to the Moon, whpro 0f-s+w o* ;qwof.oere the acceleration of gravity is less than on Earth, the resonant frequency of qwsw* .of0o -o+pof;rthe pendulum will

  Curve A in Fig. 11-1 represents7h8pdn,.q7gw ijooc5

  Curve B in Fig. 11-1 p-plh7a8 (h/vxpi n lgme*2 xkho;40g represents

  Curve C in Fig. 11-1 rep t(1xw4e svr9gresents

  For a forced vibration, the amplitude of vi31 qbksl4:ww fbration is found to depend on the

  In a wave, the maximum displacement of points osc 14r)vnbqjj x m.9t-*hp4bq f the wave from equilibrium is called th*mbc)t44p1s qvrjjxqn9-hb .e wave's

  The distance between successive crests on a wave is 68,gvrhckbj, /5y nwt called the wave's

  The number of crests of a wa b4)v ewxp)pg,273yus.a nfb( ag4qk zve passing a point per unit time is called the wave'ybpbggwq zf2k va34(,)ax.nps7e 4u)s

  For a wave, the frequency times the wavelength is the wavei0im auz)z cap0/71jm's

  The frequency of a wave increases. What happenal zy(as/6 -vvx0dxj2 s to the distance between successive crests if the spee 0lsz/xvd ay(2xa6 jv-d remains constant?

  A wave moves on a string with wavelength l and frequency f. A secon));vjr9h9xe( 0wyv1 k+no b tv:hqs zsd wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the seco o0( z 9+ wssvnervb9jxvh1 ;):tyh)kqnd wave?

  Consider a traveling wave on a stringwdozy84u k/gho/fs3j2 tl(0m of length L, mass M, and tension T. A standing wave is set up. Which of thuh f/(/8s0zo3j2 mdk4gl tyo we following is true?

  A string of mass m and length L is underz+n rgy3z 8i/i tension T. The speed of a wave in the string is v. What will be the speed of ygin zz8+3i/ra 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 under tension T. The speed of a wave in the sjqw3yg:q-s. g tgw2y 6tring is v. Wytj2 w ys-gwgq.6q g:3hat 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 length L is under tension T. The spee+ht7( r*+msg4mac utqd of a wave in the string is v. What will be the speed of a wave in the st(g7*arq +sthmm c+u4tring if the tension is increased to 2T?

  In seismology, the S we7j01w q y u*sywd(k0mg s2gl8yo ,f1kave is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave a y0kge7* ,8wgu1myflsyojd s2k0(q1w nd the particles is

  In seismology, the P wave is a longitudinal wagaw 6 9;stxh;qtq,w 1f3tf3qave. As a P wave travels through the Earth, the relative motion between the P wave and the particles wq;6gw f9st31t a3,; hxftq qais

  The intensity of a wa2n,9emtnm ko8f l* t9v4z bn1z+)rvhove is

  A wave pulse traveling to the ri3h-dzylf1iz )ght along a thin cord reaches a discontinuity where the rope becomes thilz3 dhfy)-1iz cker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positi.f01ljix x tu(6u ho*eve amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space at the same tle hotjfx 0.6xu1 *(iuime

  Two wave pulses pass each other on a string. The one travelin 0,zs dd:rk9wm-,hang2np do,g toward the right has a positive amplitude, while the one traveling toward the left 0 hr, 9kaz-d ,n,mdosn2g:dwphas 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 fixedhm7w s/q g6secf3gg-d,.+ek f at both ends, occurs when

  If one doubles the tension in a violin6ulhnx 6e+ij n;g75 turf ;da5 string, the fundamental frequency of that string will innfujg6;;de7u5 t h5r x i+al6ncrease by a factor of

  What is the spring constant of a springc+;,( snsh(no w rqyo0 that stretches 2.00 cm when a mass of 0.600 kg is suspended fro 0+ c(owsyq n,n(rhs;om it?

  A mass is attached to a spring of spring constgxz bugd: f l-g87 t6q1k-j.gjant 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 equilibruz- jg:.6 xtl87g- 1djgkqfgbium 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, fr z l..dps8ehtopaw0*j0 v lg997y6fraictionless surface. The spring is initially stretched by a force of 5.0 N p l v0. dr9*a.lejth0w8g7sz yf69 apoon 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 constant 60 N/m alon fm4qtbmsq2szv.;.k 3rlw8 e; g 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 oscilqf;r4b. l ;qvz8e tmksw.s3m2 lating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes 04furlzmb :i:through 10 complete oscillations in 5.0 s. Wi: 0 mb4uzf:rlhat is the period?

  A mass vibrates back and forth from the free end uq*1xtj wy08qof 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 q8y 10qwuxtj* is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring 2w:ns w qlqbbo92t*8w constant 20 N/m along a horizontal, frictionless surface. The o8bwt2*oqw:lw2 9qsn b bject 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 energy is 8.0 J at this tbk0qg6,b2iuxgrd (c- ime. The mass is cut in half, and the system is again setb0,dg(cr2xg qu-6b ki in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attajf0 v /garlz 42iul)y;ched to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonicali0u4jyz2g)rl;vf / 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 alongetwb(t sq jiru 62wu/; +lph.qk vn)0: a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equiliheq+jk6uwvub:;. l 0pt 2)(s/itrnwq brium 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 ayuhm)a1vjpz4bb:fdm( 1 g4;t 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 mec;4g(bfab)4dy: zv1tum 1h pjmhanical energy of this system?

  A 2.0-kg mass is attached to themn0/wwob7 r.jpe /je8 end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. e r/j.mw8bjp/70wn oeWhat is the total mechanical energy of this system?

  A mass vibrates back and*; n)m0g6fyi o*l fqad forth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating massimqog6*f * nal)f ;0yd?

  The mass of a mass-and-spring syste*u no/q ot3ll43sbs(+vi *t snm is displaced 10 cm from its equilibrium position and released. A frequnli3u*34 /+lo vtbs (*stosqnency of 4.0 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 conj+ap /t65lfk 1 lmwlw(stant 10 N/m. The object ist+5w1lwl/l p 6 mk(fja 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 of spring constant 10 N/m. The ob5z fwpjuu u v*t6++x:bject is 6t:+b uv5ujxwp* uz+fdisplaced 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 constk)zjgm c3;;s pant 18 N/m, displaced slightly from its equilibrium position, and released. What is jmp;gz s3)kc;the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a fkk d)t 90sd*sd -tc5ylrequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and restyt-cl ks0kd59d)d *leased. What is the maximum velocity attained by the mass?

  Two masses, A and B, are ajcdwq9d 3v2g8 j)i pgdi8xe;2ttached to different springs. 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 gcj p8e39d2x i)d;iwvq j8 dg2a 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 spring. In equiliy8p r6gxxpg 2b f(obao)6. ex/brium the mass stretches the spring 2. gb286xpeg x yr6 /px(boa)o.f0 cm downward. The 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 jjiwq9798mgf*gwd 7r 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 q*j9i wfg8j 7rm97gdwsystem.

  A 0.30-kg mass is suspended on a spr dg al1qdm8 :b- caouwt8c*gqh z16.p,ing. In equilibrium 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. Write down its equation ofcq8d:o,qzamu l8tpcg1.bw6h 1d-* ag motion.

  An object in simple harmonic motion obeys the following position versus ti wqif 3j5n35uqme equatio5ifw3nu53 qjq n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obec( jrxack1d-fn 2cn :av)v(-zys the following position versus time equati:1 ckrnx ac-v2(-nzcv jd )fa(on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus/55tgnu zwoz8z/o4t(my m wu9 time equatino/9 mm8 ou/5ww yzg (t5uzz4ton:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring dvjbt(- 3j2eui )f)oq executes simple harmonic motion according to the equ3bf-jejq)2 ou (i)t dvation $y = 0.50 \; \sin (18\pi \times t)$ 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 f i5a-rttr(o0 korce constant of 20.0 N/m oscillates on a horizontal,rt -k(5i or0ta frictionless track. 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 swings in 8.0 s. (a) Whas;kmrv*lg s rre9tq7kj3st u64b i /1(t are its frequency and periok3/is 1j 7g m*;ub4s6rv9 tklr qts(erd on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period ,uw qw): ; mwrrwb5mvd5 -tnc7on Earth?

  A pendulum has a period of 2.nn8 x75t gu.;sfw2k jq0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on mne54ugu:5gpt +:ekr6 s 6iytthe Ear4 it6rksgpy+u5:e nut6 : mge5th?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on tainegz1t33a/ s4bw f*.gq 3lahe Moon where the acceleration due to gravit4 3 f 3q.aztni1elg/agbs a3*wy is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical / 03pqtryshkg2y v- 3k/(-ay zxl.wufmass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back at x 2sqzypv0yufl/ g. krh-k3a3/ -(wynd 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 zu4meaq+ir: 6 20-g mass has initial angular displacement of 8.0e. It oscillatesezqma+4i:ru 6 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 "snapshozr9o+m1 uhw 8js txm)+t" of a wave at a given time. The frequency of the wave is 120 Hz. What is the amplitude? wo+ zu 19mmx+j8sr)ht

  Figure 11-2 is a "snapshot" * mvm3,jpuv d(fn5 q/xof a wave at a given time. The frequency of the wave is 120 Hz. What is the wavelengt* , vf3vmx(/ mpdqnu5jh?

  Figure 11-2 is a "snapshot" of a wave acsn jji ;z,7lguh bg*)q45oz;j+a)z k t a given time. The frequency of the wave is 120 Hz. What is the wave spegkonb5+z*ual hg s;z)j;,47jq c)i z jed?

  What is the frequency of a wave which has a period of 6.00)c vv1;4d lbk 0a0nffin c1:pp ms?

  What is the period of a wave with a frequenc htc3pz9i;ky5* u; xr*ji1bggy of 1500 Hz?

  What is the wave speed if a wave has a frequhc2fzc*( s i5 l fr;nuks wq/y8no08x:ency of 12 Hz and a wavelength of 3.0 m rf(ci*os c8s8:x wq2 hnfk5;zylu /n0?

  What is the velocity of a wave that has a wavelength of 3.0 m and a akgei o+,(+ evfrequency of 12 Hz?i ,veeoak++g(

  What is the frequency of a 2.5 4/hbt klmin2; m wave traveling at 1400 m/s?

  A piano string of linear mas jk p(oo0fin;.)4uqa ns density 0.0050 kg/m is under a tension of 1350 N. What is the wave np(.aof0j o4kqn;i ) uspeed?

  A string of linear density 6.0 wzk3* wajtj9 3g/m is under a tension of 180 N. What is the velocity of propagation of transverse jza3k t3jw* w9waves along the string?

A wave whose wavelength is 0.500 m is traveling; pbp d0x8x v8ll65yux down a 500 m long wire whose total mass idvp8x8x u6x;5l lpb0ys
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 long sw:-hhkze 3 xv +h 7ta/qegcq:7tring fixed at both ends is 200 m/s. Which one of the following is not a resonant frequenc3- c zegvqh xqhk7h:ewa/:+t7y of this string?

  If a guitar string has a fundamental frequency of 500 e:tfi..h 5cb2 jh tz3yHz, which one of the following frequencies cbt.f 5j:i.h2e3yt c hzan set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standwjl /+21 0kh4 .jswqyfg6lg vd.jij)p zd8l6ding wave drivj wv g26gl)y djwjd1zfiqjl +s.4ld.p0h68 /ken at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequ45 yz0(t+ba; bhhuyz yency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the st at 4+yb zu;(0b5yhhzyanding wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a)ilvmbok:a-k2 p(d;y5 c d0 gx tension of 20 N. What should its length be if its fundamental resonkdk50x:logb i;)m d v(yc-2paance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mac(s93glvm,6tyg nc 5(z9kqvp,k 3g hi8 . iewiss density 2.00 g/m and length 0.600 m when it is suynt3q(m.e, z8c,is gvv (g9 gp9 clihi3kk5w6bjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. Whe+*he) 4hrn xbzn the string vibrates at a frequency of 85 Hz, a standing wave with fr nx4e bh*)zh+ive 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.