The time for one cycle of a periodic pre4t1jat.d rcjxd;v0 wu fw0ju.1 /h,mocess is called the

  For a periodic process, the nugb:g7ke2 c7unc 9vzw7mber of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilic bq:ex71py;z nsh-h r8s* c4fbrium point is called thezn7 c :8* q;1hrs-xbfspe 4hyc

  A mass on a spring uqa99l30dq ucq ndergoes SHM. When the mass is at its maximum displacement from 9qu qd03qal c9equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the eq0y /vb*tx:lnz uilibrium position, its instantaneous l0*/xt y: nzbvvelocity

  A mass on a spring undergonfj s31/ij3 v 9ny+bz3t* mkejes SHM. When the mass is at maximum displacement from equilibrium, its ibjf zei3sk3tn1mj yn*j9v+ 3 /nstantaneous acceleration

  A mass is attached to a vertical spring and bobs up and dof)6aov a x.n-+gli j53q 7zjzxwn between points A and B. Where is the mass located when its kinetic energy io)a3x+vzxn-i.gz jqj5lfa7 6s a minimum?

  A mass is attached to a vertical spring and bobs up and down between poin13:m b9 bt1um)d iqwhbts A and 1h udwqb1 )mi:9tbm3 bB. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points A 1zdyok /uul2 k7 d)f1qand B. Where is t7odl)u1k 1f2qu/yk dzhe mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up a beuzco3/563vg xkmt/ nd down between points A and mu3 o5xtc 6z//v3gbke B. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produ:q o7lmwr7 2;0yg qwvdes/j /2hm*zvkces what effect on the system's momvg 2 mely*w;2 zj/vqs/707wd: rqkh echanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces whufh 73n5b .nvaat effect on the system's mechanical ehbf37un v 5.nanergy?

  Doubling only the spring constant of a vibrating mass-and-spring system kwboqx 4bjl+ 85j+/approduces what effect on the system's mechqx /pw l j+8k+5jboba4anical energy?

  A mass oscillates on the end of a sprs8slno x9 .t6ding, both on Earth and on the Moon. Where is the perioxn. s89d lt6osd the greatest?

  Increasing the spring constant(x 2u zbb 6g3fr(l) 0eyd5emtc k of a mass-and-spring system causes what kind of change in the resonant frequency of the systb3(r0z(extcmu e2d56yf )b gl em? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system cf)fo6m -e2kf rauses what kind of change in the resonant frequency of the system? (Assume no change in the system's sprf-2rfemokf)6 ing constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of chm9qj i0 m1rg;yange in the resonant frequency of the system? (Assume no other changerq9gi;1mj 0y ms 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 weightless string of(y rl lak6x2/m length L. For this system,k/xl a( mly62r when undergoing small oscillations

  When the mass of a simple pendulum is triplro9 , 3iaifgdyr462 sdc:kk2 med, the time required for one complete vibration4ik 2 : 2rscy,3gfo9d 6imdakr

  Both pendulum A and B arj6 2d;zskush uw (h)jw +n12cue 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the period oks6hj w)h ;su2zc+(duuj2w 1n f B?

  When the length of a simple pendulum is tripled, the time for one complo f(mi g.3abep;x9glv5 pzt 59ete vibration increases b;9 e(5v3ftlz g.x5g bapop im9y a factor of

  What happens to a simple pendulum's frequency rggbs/,+ w/nwif both its length and mass are inc/w r/bw,n+s ggreased?

  Simple pendulum A swings back and forth at twice - o:j cf6 *kd 6n,kmvnzkc4q/qs6*oumthe frequency of simple pendulum B*6fz k dcn6km o :6 uv*kosncqqm/-,4j. Which statement is correct?

  If you take a given pendulum to theulzm3 - pzbt 2x3m*/lu Moon, where the acceleration of gravity is less than on Earth, the resonant frequency ofutzp32u m3l/ lxz-b *m the pendulum will

  Curve A in Fig. 11-1 rep x.*xe3y/ oyks5r6 3/cd rzxrvresents

  Curve B in Fig. 11-1 represen 1 fzyf)+13aw8bjtesots

  Curve C in Fig. 11-1 rggnp-b 3qj(+8qt; xj xepresents

  For a forced vibration, the amplitude of vibration is found to depend on thh g,u2m. :yh jk1ly if0dzv)b(+e fxd6e

  In a wave, the maximum displacement of points of the wave from 3clza :;shlo3equilibrium is called the wave'a ch3;o :lzl3ss

  The distance between successive crests on ae 7+psz9 eo3irywo)sf +nu:+k*kg:zl wave is called the wave's

  The number of crests of a wave passing a point per unit time is caznqtuc 5:bm/i5q wv 61lled the wave'w5bc q5q6tuni1:zvm/ s

  For a wave, the frequency times the wavelength is the wak dd.fum .+gh-y -rt4u iyli6/;0jg svve's

  The frequency of a wave increases. What happens to the distance between successn1y vn62 cafw+aw(16mj 40ixc4ol nxfive crests if the speed remainnny +fwicw4 x2(6mjv1lan0xoc 4fa 16s constant?

  A wave moves on a string with wavelength l and frequency f. A second wa) e bc2vlm0-cl,a80;d d tlp9a ;lmrjgve on the same string has wavelength 2l and travels with thevc)m8ma9l 0,ll 0gj de;r2da b-cp;lt same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and5a 7cnavut qp vau4jyt( )q.-3 tension T. A standing wave is set up. Which of the followin 7ucvva jypq.( -u4t3nta q5)ag is true?

  A string of mass m au)1h8m( aser wnd 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 mass of the string is increased to 2m, with no change in length?au8m (w e1s)rh

  A string of mass m and length L is unv uv t/ pt5smmw4uv;,- ory:/41rjkkider 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 ler m54/1yjk /p v,tkotmv: u-wv4irs;ungth is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed ofa144 .r da3wbj:tm*wh:r/cuwf ;jqmd a wave in the string is v. What will be the sd::wj.w b4urat13fhc;ajm *4dqw/ mrpeed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transv )0fumlpx;jt7erse wave. As an S wave travels through the Earth, the relative motion betxt 7mfl)u ;jp0ween the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels throtg t3 4q)fmxx9.dz;sgugh the Earth, t49.zgtq3d g xmxs)f;t he relative motion between the P wave and the particles is

  The intensity of a wave i yk8,w3:rde7yljj .ya s

  A wave pulse travelingc4a+9l* 8e; n unnrgvm/zw n6p to the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation p u ;vmz g*nrcw46n/+9ea8nnlof the reflected and transmitted pulses?

  Two wave pulses with equal positivenau v9gj.xv a y((2l6a amplitudes pass each other on a string, one is tx(ayva9l .a6gv(n2 juraveling 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 one traveling toward y8lrckkbk 9npqsb5513vjn8:j 3 id8tthe right has a positive amplitude, while the one y8qrn8kb n3vk5 d c5 il jk38bj:1pst9traveling 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 stx0ctm3c qwss n2bu,9 -xrl3r ( :j(yrjring fixed at both ends, occurs when

  If one doubles the tension in a violin str y lth0c;qf 4+mc;w6uudc;9gh38 thlwing, the fundamental frequency of that str0ht hcluw+lmq;6;d98c fguhcyw3 4t; ing will increase by a factor of

  What is the spring constant of a sp0 i5lbmjln as6 3z5x:ering that stretches 2.00 cm when a mass of 0.600 kg is suspended from bezi 0l6 m55 :jalnsx3it?

  A mass is attached to a spring of spring c6 4h.6df fpizxonstant 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 0.54 h p6fzd6.ixf0 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 cof1(o1ph i god8nstant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N h8f d11ogoi(pon 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 along al:z0o*6h b7d ad,fl zj horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mas0 zj7lh, *f al:o6ddzbs and let go. It takes the mass 0.50 s to go back to 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 5v05 q2cei8,coszr3b1be q- ld.0 s. What is the p-qvcblq2si rb 8 ,o3z0c15e deeriod?

  A mass vibrates back and forth from the free end of an ideal spring of5yaae;zgz 8h fz6s9) c3r0ial spring constant 20 N/m with an amplitude of 3cazr ;lsa)eihg6z9 f y50z8a0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/:0 rcnq yc7k5ojw vi*-m along a horizontal, frictionless surface. The object oscillates in simple hy5 j:roi c-w*q vn70ckarmonic 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 thqus/a.jcn p31y 8s g/o-l)dnj is time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm.j3 l osyng-8q1dcj/ p) .aus/n What is the energy of the system now?

  A 0.50-kg mass is attdid06t q-pktiv6n 51e ached 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. q 0nttdki-vi 6de61 5p What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring ofrb9 2qy /p6y q8plpj-suu 4l8j 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 what location are the k p4qj j/-q6upblys98ru8l p2 yinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of aszci 7kx1/ k7u3fs hqc2bt**vtnh2. o horizontal spring of spring constant 50 N/m k73sz27. it*oxqvsu tbc/h ncfh*k21 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 of a6dmt9ak/ :uwr6 fkoi- horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude m9 d 6-aio: /utwfk6krof 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of spring 6sial;2 k(gfq constant 20.0 N/m with an amplitude of 0.250 m. What akf(s6g2 ;iq lis the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-sp5amhq/* le7-ybqv8ek/2nn enring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the massq2*ve5 /ekny 8hnn-a 7mlqbe/ had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached t dolzb*q 1b0*lsjeplgv 5004/y :yjimo a spring of spring constant 10 N/m. The object is displacedi ybj 0mvb:elodls100jy**zp /q4lg5 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 oz :+y j /gb2pw:mxp5gh+i)l cmf spring constant 10 N/m. The object is displaced bppgm:5i +l w+bz)cjmh2xy / :gy
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 constzhfuo uo8,g+ -ant 18 N/m, displaced slightly from its equilibrium position, and released.u fo-,ho8gzu + What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at fak/ci87nm ra4g; -ld a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the nr; k/aag fml8-c7id4maximum velocity attained by the mass?

  Two masses, A and B, are attached to different s rz-ncu/ /ypx e v6/tl55+nvvoprings. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amppvr+v/v -/z5cety6 5unno l/xlitude 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 spring. In equilibrih hv8yf; p c50zfw d)yt5(dfk-um the mass stretches the spring 2.0 cm downward. The mass is then pulled a8d- th(p d)f0yvk hz;cwy5f5fn 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 ne ln cd-w4) .i75jke,ylj u7yequilibrium 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 tot-nlewuyeldnk5) c 4jy,7.j7 ial energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium t)zm l(x7nl(p2 rxj2r re)s:ashe mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and 2ls)l)xzrrepn rs j 7m(2xa:(released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus time e-6 bci 4eq4 3xa5cfmjlquatiocqbil3-mc 4j4f ax5e6n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position ver jj4qgmm36wxk) ;ay m,hz2k2bn: r.ik sus time equatioj 4w a6mnx,2hk kj)iy3qg.:;bmrm kz2 n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys th(.f+ :g(m b s8diarubye following position versus time equ+u :ibfray.g(8 sdmb( ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a springt p*i 3 vkc*-r knzn)y5p,ur/i executes simple harmonic motion according to the equ*yti3knzr n*c/rp5 ivpu- ), kation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring wcy ;f;g /qxwets5+q-yith a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= ;xyqgfqst- y/we;5c+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) Wan81iwd fo)*n)6pw t fhat are its frequency and period on Eartf))1ftado6 pwwin*8nh?

  A 3.00-kg pendulum is 28.84 m long. What is its period on h usvtr 53kvkp;fjifp 9/uz/;j 4,mt;Earth?

  A pendulum has a period of 2.0 s on Earth. n326 e7x nmfyi:tdn;8 tjx4fi What is its length?

  The pendulum of a grandfather clock is 7b19lzh8k hiuieo56i 1.0 m long. What is its period on the Eaoh5 i916i8 bz iueh7klrth?

  The pendulum of a grandfather clock is 1.0 m fgr,0 t pmb:1olong. What is its period on the Moon where the acceleration due to,r gbf1p 0o:tm gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mab (nwpp15,hqj5x* yf ess attached to a massless string. When the mass is displaced slightly from it15b n(w*,ex5 pyfp hjqs 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 amid6(r),b3 6ae awcsr qd .3us 20-g mass has initial angular displacement of 8.0e. (i.acu6r ) da we3bssr q,6dm3It 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.vmhu- f(u jsd6 y:4g5e zf;ecd8l(/ey The frequency of the wavee6zs jyymufd4e( 5g lh( /evd u-c:;f8 is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a9 f9 t7zh 3 pwjnzbnnmppk- 68h(6vp*u given time. The frequency of the wave is 120 Hz. What is the wnpf (8vhzpp*n36n b m9wzhp9ku-7 6tjavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. ql3 pzoa9 s7mke0 r+dul8v 12sThe frequency of the wave is 8pu+7dl1mr0v9kloa 2ss 3eq z120 Hz. What is the wave speed?

  What is the frequency of a wave which has a pe -o*7*iyj c se g n;0vt:sezd6wzh7co*riod of 6.00 ms?

  What is the period of a wave with a frequency oejysz :*c *)bne7q(aif 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a waveleng)z )sx4f tl16dg fa,cvth of 3.0 ))f zg1d f6sv4xta,cl m?

  What is the velocity of a wave that26 ;:ua7prsbqfw tauw: q:p*z has a wavelength of 3.0 m and a frequency of 12 t : * :;aupuswzqarqp76b2wf: Hz?

  What is the frequency of n 1kg mh7l44oiq/stzj b+a x,4a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass densgr*-6b e;k aznity 0.0050 kg/m is under a tension of 1350 N. ebzg*- an k6r; What is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the va,s* lh-9seor elocity of propagation of tra,9 saelors* -hnsverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose8yrc lfrzb/w w15n2,s total mass i,5ybnr fls /c2w8w 1zrs
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 string fi*2jd2b ,wc6wtqzr bo* xed at both ends is 200 m/s. Which one of the following is not a resonant frequency of thiw6or 2b* wdc,z*bjt q2s string?

  If a guitar string has a fundamental freq ) xckkpjf - v.q.nevf1v(:vp;uency of 500 Hz, which one of the folloe1c fk.:jp) nvvv(;-pfvkq.x wing frequencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segmen7v-mvqymfwa t-*m.1 lts in a standing wave driven at a frequency of 480 Hz. What drivtmvaw1 m* v -qm-.ly7fing frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrat 2w0/o) ,bbwsidb)flb:e f -sies at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern le2osb 0,bfb/i- d wwif)):b sis to contain 4 loops?

  A string of linear deq7gq vxeu 4l9*b 4fp3j86zl tvnsity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonanceqxlz 9 pb*gu844fq ejtv67vl3 frequency is 220 Hz?

  Find the first three harmonics of a strinm;b1rl w) pik(g of linear mass density 2.00 g/m and length 0.600 m when it is subjected( ;) pkmlb1riw to tension of 50.0 N.

A string of length 2.5 m is fixed at both d 6j-;(( *c7fti(dgjiav auxuends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is fg(;a6iv- xj7jt du(da c*i(uformed.
(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.