The time for one cycle of a periodic process is called t;k x mk)m 3*e8qdwmbpj99pk -xhe

  For a periodic process, the number of cycles per unc9 b;tl(:c2kqgcy 5d tit time is called the

  For vibrational motion, the maximum displacement from the ;:x odroyenu((6/.5bniw2 ,t wwluf q( p mrr:equilibrium point is called n id2:(6/.wouq fnwx ;rb:5teurm rl(w p(yo, the

  A mass on a spring undergoes SHM. When thetk)ckd/3mp thsz :--j mass is at its maximum displacement from equilibrium, its instantaneous velocity j/shdz) :-k m3c-pktt

  A mass on a spring undergoes SHM. When the mass passes through the cqfxxi-mp7 0.equilibrium position, its i0q. 7cm xifx-pnstantaneous velocity

  A mass on a spring uc*k ,;qwzu 6blndergoes SHM. When the mass is at maximum displacement from equilibr6;kblcz qwu,*ium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down v/6x )qcbs(bq9c /pvk3mbc y ve:.l e,between points A and B. Where is the mass located wl)x( /sbyvvcv9c .cekbmq3e:6 / ,pqbhen its kinetic energy is a minimum?

  A mass is attached to a verticaa mlwi nt3(x.9pe em+0l spring and bobs up and down between points A and B. Where is the mass located when its kine(e+mpa.nti30mxwe l9 tic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between pvy8s q (q :bf,gvik27ooints A and B. Where is the mass located when its potential energy is a mini qfyg72k8: qs bvo,(vimum?

  A mass is attached to a vertical spring and bobs up and down between points A/r-f8d vndbb 2)l c t59-hrreo and B. Where is the-lvb fb-oc9dr/rr n2t58de) h mass located when its potential energy is a maximum?

  Doubling only the amplitu*w hj /0zpp3fqde of a vibrating mass-and-spring system produces what effect on the system's mechanicap/jpwq 3hf*0zl energy?

  Doubling only the mass of a vibrating mass-and-spring systezstv +7 nd e18f9et+ up5gt9agm produces what effect fnt8 1vt e agtds+p+g7u95 ez9on the system's mechanical energy?

  Doubling only the spring constant of a vih4g g6+a4o3 nlth4sa abrating mass-and-spring system produces what effect on the t34asg h6o4lan4 g+a hsystem's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moontungckpp)t i61cb yaq-) t)u;zp ;8,g. Where is the period the greaq86a)cu;tu1 t;p, y czipgtb n)p )g-ktest?

  Increasing the spring constant k of a mass-and-spring system causes what kindsf t+ ;v4dsj83d)j 5zqoa dsk* of change in the resonant frequency of the system? (Assumd;s+5 v8s 4*j)j qazfsddo3tke no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change 1r.+c-pmgxm gs-s0 gw g 7nme.in the resonant frequency of the system? (Assume no change in the s-c. sgmn10r-g s 7pe mwgg.mx+ystem's spring constant k.)

  Increasing the amplitude of a mass-and-sri5,u0a yyl5apring system causes what kind of change in the r0y 5al5ria, yuesonant 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 consists of a mass M attached to a weightless strinmdd v;s*js.9 u 2hcvh:g of length L. For this system, when undergoicus2 9 .j*dvsh:m;dvh ng small oscillations

  When the mass of a simple pendulum is tripled, the time required 8vh.g4-bp3xpoqwu+iah j 62p for one complete vi+ b j.ixvpw8a4g6-h3p uqhp2obration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A isv nm +0fjr4a,c twice as heavy as penducrj +na 0,m4fvlum B. What is the period of B?

  When the length of a simple pendulum is tripled, iu/:u av)r (dzx.vsk/ the time for one complete vibration incrsxd /r)/ k: i.vzvuu(aeases by a factor of

  What happens to a simple pewasf4)jr n+. pc(i4yt n ;wbx,ndulum's frequency if both its length and mass are increas ycp.44a) rjw,s(+tn;wbnfi x ed?

  Simple pendulum A swings back and forth at twice the freqh9b+wfs80;mmjhq:rmbqy* eg0 :i 5f iuency of simple pendulum B. Which state fjbiw90f+qr s ymmb05h8m*e ;qi h::gment is correct?

  If you take a given pendulum to the Moon, where the acceleratxx m;5 cfk9ed7ion of gravity is less than7c5dfe k;mxx9 on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represent(u7llhu1 5t3zd tbh 8w /q7udys

  Curve B in Fig. 11-1 2k+ itwsje4y:s z2pb4represents

  Curve C in Fig. 11-14eddh, ceevk c9g/jl *(bvr0. represents

  For a forced vibration, the amp1+ 8r jrg 3 lhv1grc1tey;h1ttlitude of vibration is found to depend on the

  In a wave, the maxim;::4ye iw a vw-gld2glum displacement of points of the wave from equilibrium is cal dy-:lg4;el iawgwv 2:led the wave's

  The distance between sx6 cf1+pfn9truccessive crests on a wave is called the wave's

  The number of crests of a wave passing a point pvbbm g q9.5li8er unit time is called the wave's iv8.9m5qblg b

  For a wave, the frequency times tef:b n-hqnpohj;z;)a3:d n2nhe wavelength is the wave's

  The frequency of a wave increases. What happens to thg9.k ) yvehf0oa;ed2ge distance between successive ov)gfa2e;d. k e9y gh0crests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on thef0oq+k *al/p)1lh kud same string has wavelength 2l and travels with the same velocity. k k*1+ldahu)0pf oql/What is the frequency of the second wave?

  Consider a traveling wave on a string of l8l 8l7zw:*u q nlz q60jsvs7jaength L, mass M, and tension T. A standing wav0 ss8zlvlqa67zn7qwj l u8:*j e is set up. Which of the following is true?

  A string of mass m and lengam:r)qw p xnohvy.mv9s )4p) w2e,d w3th 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 i4 .) da:mshpn2vvqwo3),)p mw9wyrexn length?

  A string of mass m and length L is under t,0c9u m(wlm1 z-tga 3zjli.ey+ i5a bfension T. The speed of a wave in the string is v. What will be the .izca jbuwf01 a m-tg3zy lm+i59,el(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 tensionp+3 98 a7p qzh;-alz)bagf kxs T. The speed of a wave in the string is v. What -lsp+9qkf)gz ;pazx3h a 78bawill be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a tr6ncg-vu fl3/ch6 a 4op8/r+ mdvyk0atansverse wave. As an S wave travels through the Earth, the relative motion between the S wave gonr fy md+c/v-66/l8aa u43ktv c0ph and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels tp-zr,-x2pm ta6 c()zo mneay)hrough the Earth, the relative motion bez)azx- y m p6nopte,r) 2mca(-tween the P wave and the particles is

  The intensity of a w, o( swfjpd4kdjv-a; 4ave is

  A wave pulse traveling to the right along a j;.pt ni9,erj thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted 9.j p, jnrit;epulses?

  Two wave pulses with equal positiv upu39fvl5v -hd,w5v10defm .x c-caqe amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point thatuqhf0x 5w-l9fp3vecvaud v1m-.5c, d they occupy the same region of space at the same time

  Two wave pulses pass each otherceof:r8 x*/*a7n n5v siqba) z on a string. The one traveling toward the right has a positive amplitude, 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 tf5a 8cx*bieq o) av7ns*:/ nrzhe same time

  Resonance in a system, such as a string fixl) 6g+dl gjp/ved at both ends, occurs when

  If one doubles the tension in a violin stri9nle,g3lmc ivh p nwnd03qp*s w1/ n))ng, the fundamental frequency of that g,lne*3w)) 1 nqw v /pd0sphm9n3clinstring will increase by a factor of

  What is the spring constant of a spring t2 tuv8) qxolg mfr7 wxf92e z;u4fqwgq2+-9 cahat stretches 2.00 cm when a mass of 0.600 kg is suspended 4fr7u mtgcq q82ugv2lzf o9e)2wxq9aw+x-;ffrom it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, 0wk8pgc5u;x v) lvmkj8eh + w/frictionless surface. The spring is initiall /w8)g;p0 wxvmk hk c5e8+ljvuy 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 amplitude?

  A mass is attached to a spring of spring constant 606f2sqtpz3me. a/scpj11h ge + N/m along a horizontal, frictionless surface. The. q hemj3s2gz6c1e1p/ f+s pat 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 oscillation?

  A mass is attached to a spring of spring constant 60 N/m g 1jgb h0 ,zb 7wh0xqr:rsh*)jr2on9jalong 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 oscillating.xw,b o1 jrh7b * :0jqgnhr)h0zj2 9gsr What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillatio .i7nd:b0nrw ans in 5.0 s.wdab70n.n r:i What is the period?

  A mass vibrates back and forth from tcb0rj, fjx1zyf/gq qtws 8 9;(he free end of 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 is 0.30 m from its equilibrium q,xfqz ;bj 18yr(9f/gjcw t s0position?

  A 0.50-kg mass is attached to a spring of6 hb mhbk no-kc3/)jnh j7ru*9 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 equilin) mhc* b9 hjorkn7/k6ju3hb- brium position. What is the total energy of the system?

  A mass undergoes SHM with epq iu38sa0v)7hv i6u/h mzb9jkd3p9amplitude of 4 cm. The energy is 8.0 J at this time. Th0 eu8 javsh7dkm/uh3ip6pi9)3 9zvqb e 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 sprifs-i8nr 7o/nxf+v d9cng 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 of vibration?fn8s9rdv +n x /7oi-fc

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a 1/.hqj4 , lsr hd5ksegp:aon .horizontal, frictionle hjsp enql5 h1.ar/sgo,d4.:kss 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 kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizofh; lynku*i*6 ntal 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 h k i**fy6u;lnthis system?

  A 2.0-kg mass is attached to the end;/zk u m6;ntmn of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitudnkzm /;6un;mt e of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and m ,aws8l aka+/forth from the free end of an ideal spring of spring constant 28+lwsm/,k aaa 0.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is mct3g.y1 xrxt .:lpb9displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hzlm.3x1r 9g:ct py b.tx 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 5v;d+ -9fps1fc2 e39xpy h nky qvb8mzcv(5bmspring of spring constant 10 N/m. The object is hm9n+ db8-xs ; p5pv21m5vbqez3y fkcv9c(fydisplaced 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 i-*hv jd6f7ro 5x7gb,2 f .lta+pkjr gps dispgtp-* h+ofk ,7rg6d.5p7jxlb fraj2v laced 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 cob :9:) +inpad)w 2bxm-h7wib qt z:qgxnstant 18 N/m, displaced slightly from its equilibrium position, and released. What is the fr2+ti h q:nap m)b7:9wixq x:d )-bwgbzequency of its vibration?

  A mass is attached to a spring. It oscillate9tygwfw k0umlo)mj+ 3 x+.z)p s at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum +3wxjz)9g uyw.mfo k)tp +l0m velocity attained by the mass?

  Two masses, A and B, are attached to different sps c6)hamp.x5i rings. 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 Hz. How does the maximum speed ofmx5pa)s .i ch6 A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass dmd*8snf6 jep62oqea 8g2 gz) 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 period of oscillatiogq68 nesa26p) 8mzj dfeod g*2n.

  A 0.30-kg mass is suspended on a spring. In equiux(urq;d3g bq48 ci.alibrium 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 system.u4r3 ( xiqgabqc8du.;

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stret mx a3gzfv 7yz.,xppe- .fg-+eches 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 z.e,gffzv p--g7ex3x .y+mpaits equation of motion.

  An object in simple harmonic mot+k dumk71f0c kion obeys the following position versus time equatiokfk1d7km+0 u cn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motlxfhh o3awj) e0az1(wp386n xxfe9x6ion obeys the following position versus time equatione6w 1h8 ow j6xxfxhe9pzl)naf3x a3( 0:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys t -jxek*qs u,pv4dib a+l)h0h5ij2, xlhe following position versus time equation:ib, pea4hv-jlld ksji2 )5* hxu0x+ ,q
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spr c:i9si arc,m24a+azking executes simple harmonic motion according to t k+z:m aasi4 c29iac,rhe 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 with a force consta456b)han ) v royywzl7nt of 20.0 N/m oscillates on a horizontal, frybav4)wy5hl) nzr7 6oictionless 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) What are its frequency and u, 2gpo/ +kmlcperiod on Earth ok2umc ,gp/+l?

  A 3.00-kg pendulum is 28.84 m long. What is its period on tkge*+x :ww:tEarth?

  A pendulum has a period of 2.0 s on Earth. Wi(xc2b, fbiz5zgo)oy o.)e/vhat is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is itrrfqd 6d8b4cga**b, ds period on the Ea,*6bq4cbd f ardgr *d8rth?

  The pendulum of a grandfatjie,w ms z4g++her clock is 1.0 m long. What is its period on the Moon where the acceleration due to gravity is on4j wi+gm ez+s,ly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0f j4*issw.mje4 un 5h. 1t5wnr.25-kg spherical 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 0.5sjr* ni .h15j. feutws5wn 4m40-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum conslm) l)3 +usozsq4n z6yisting of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a periossz)m 3 ny q)l+lo6u4zd 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 tims 2bdws )z:l9ae. The frequency of the wave iswsds9 2:)bzla 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave 2(up wmu a/* f-cclp+yc4+ctuat a given time. The frequency of the wave is 120 Hz. What is lfp*cc2up u ctm(cy+-a+4w/uthe wavelength?

  Figure 11-2 is a "snapshot" of a wave at a im/ (ojnc8-9flg l7 g zyir3u4given time. The frequency of the wave is 120 Hz. What is t3zluf / g8-(ori j7nmlc94yi ghe wave speed?

  What is the frequency of a wave which has a 3ch- f2prbwfq2bz; f. period of 6.00 ms?

  What is the period of a wave with a frequency offq)8p o1x 3thca ,ly ) fqcq7(y:ccm(z 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a waveleng xmcmkf q46 65wjgp1m5th of 3.0 mgmmck mqf 6pj5w564 x1?

  What is the velocity of a wave that has a waveleng :bpxff.29i b o2hutwh42s; (8ujr fqkth of 3.0 m and a frequency of 12uf2fr (f 9ou; bhpwhq2 sj.b8tk2ix:4 Hz?

  What is the frequency of a q:of:jw:ra (h2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350qj)hlc2m*q bj( qw 3w: N. Wq j)hc3(:bqwj w*q2 mlhat is the wave speed?

  A string of linear density 6.zi:2 3 7exmubk0 g/m is under a tension of 180 N. What is the velocity of propagation of tbie 3:7umzxk2ransverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m lv2yoc t22m xei vf)1m5ong wire whose total mass 2 x)fmm vt25i1co2vye 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 n liq,mn:k z++a 2.0-m long string fixed at both ends is 200 m/s. Which one o m:+lq,ninz +kf the following is not a resonant frequency of this string?

  If a guitar string has a fundamehv-*0 ihi9)kn( g jbgdntal frequency of 500 Hz, which one of the following frequencies can set the string ing)i- bihh*9jn gk0v(dto resonant vibration?

  A stretched string is observe)e3bg88alz)tpn n,d(8tj5 a.z;p yulh* cudxd to have four equal segments in a standing wave dri 8y,e3agdtd*jzn( n )5blul pht88z ;)upcax.ven 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 frequency of 12v lpwfi1gfe4 576d qrt-6nj,+dw y 1rp Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave patternld fr4rf+6 g1wd7 yj1 pv56et,w p-inq is to contain 4 loops?

  A string of linear density 1.5 g/m is under a t)o8wp whur; 61fg ujsmud31*zension of 20 N. What should its length ; f)p1omujs d6 z1w8whug*u r3be if its fundamental resonance frequency is 220 Hz?

  Find the first three hc(qxey i3e.rc f:4 /zoarmonics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tensiony(fe:e cc i.q43z r/xo of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the st 7un(-f*j c6qig,t tll hp4mu, u5w7hjring vibrates at a frequency of 85 Hzlji(5 6qpc-*n7h 4tu ,gmtu7 hwujlf,, 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.