The time for one cycle of a periodic process is called thr:bw8pt 1b,t6 5hbv nhe

  For a periodic process, th3t1) .dhwocp ye number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point i z; sh9k60xhyhs calleh9 yhh6 0zsx;kd the

  A mass on a spring undergoes SHM. When the mass is at its maxiov1- w85i;eyeg . cchf 2mmny*mum displacement from equilibrium, its instantaneous ceyoy;.w n5gme*i 2 mv -8hc1fvelocity

  A mass on a spring undergoes SHM. Wh8i/edhirfzp9+us+ * lkrc6 7ren the mass passes through the equilibrium position, its instantaneou8 rkredhi+usir p 6 zl*f/97+cs velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacemefm 3ok kki2ac103ogdsy b586ant from equilibrium, its instantaneous accelerationm 0bo ak3iasg8f613 dock25k y

  A mass is attached to a vertical spring and bobs up and down between pointnund+ gp8q;; ks A and B. Wherg8+qup;dnkn ;e is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betwe8y.7 fwavt5,rrl wm(f drh8*yen points A and B. Where is the massy5*r dl7r ,trvw8h(. fmya8f w located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring nf.q/ cydxlo s+-q 9)aand bobs up and down between points A and B. Where is the mass located when its potential energy is /qxy+nco.a)df l-q9 s a minimum?

  A mass is attached to a vertical spring e *ho)rlyz- z+yyz d93and bobs up and down between points A and B. Where is the mass located when its potentide-+zy zo zy3rlhy)9*al energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system+m gndcn 1q238;fl zcmt:jdn0 produces what effect omn 0 +c jzq2t:mdfn1n3 g8;lcdn the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what q 386xhnk e6zkeffect on the system's mechanical ek h6z8xkn6e3qnergy?

  Doubling only the sp2zp:b ;l pnu 4vyrf4+kring constant of a vibrating mass-and-spring system produces what effecyppf:v;b4zrku l+n 4 2t on the system's mechanical energy?

  A mass oscillates on the end of a spritfuwuku w s54j98 89yong, both on Earth and on the Moon. Where is the period the guw 99jyok854wfutu 8sreatest?

  Increasing the spring constant k of a mass-and-vwvwsp6,m2tqmew6 m l8./3ukspring system causes what kind of change inv 2wq u. w/6tm63wm8m,lpeksv the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring syslovt vh.v v4+u1uh 39otem causes what kind of change in the resonant frequenhtoh1v v. 9ul3v+v4 uocy of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causc, g0ki7cm x7hes what kind of change in the rec0,kh7 imcgx 7sonant 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 o 0er6shadqq 8 ()bve ae+(tcu q0/k5ftim 8w2hf a mass M attached to a weightless string of length L. For this system, when undergoe(q( vuk82/asb 0eredqm+hqwttf0 c6h58 i )aing small oscillations

  When the mass of a simple pendulum is tripled, the time required for oneb9s nkkki+v c9n9;e,jro5/ b ll:sk: q complete bks:nck:b,v5nlr/el9q k;ij 9 o9s+k vibration

  Both pendulum A and B are 3.04j w0:c3o jrae a6k(bk 8lsh6y m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. j cj k6(yws l:4a 3abke6hr8o0What is the period of B?

  When the length of a simple pendulum is tripled, the time for one completl2ahrh wnwd++h a z42idd 4o1)e vibration increases dl 12h+ idrz44w+h hnoaad2w) by a factor of

  What happens to a simple pu cz z(pzr2d34endulum's frequency if both its length and mass are incre4zurpdc( z3z2ased?

  Simple pendulum A swings back and forth at twice th;feg:qs fi-. ee frequency of simple pendulum B. Which stateme.e sgf e:;ifq-nt is correct?

  If you take a given pendulumss+hm2s0f1z0 a kz8ijur0 4uv to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of28sz uru vjh sz04ik0 1m0a+fs the pendulum will

  Curve A in Fig. 11-1 d 5km3 j7-a)d yf:wqqyrepresents

  Curve B in Fig. 11-1 representlsk) a.9si:anv7njdbg w8 06 gs

  Curve C in Fig. 11-1 rep7nv57q l-e mspresents

  For a forced vibration, the amplit/chr/9 rnh h(,nxdo1srd u1pptp1x4 2 ude of vibration is found to depend on the

  In a wave, the maximum displacement of p-r( *3ywk siay+o0l seoints of the wave from equilibrium is call e- (s*y3+wsk i0aoylred the wave's

  The distance between successive crests on a wave is called ta/h ykhk-*/xg7x hkv5he wave's

  The number of crests of a wave passing a point per unit time is called thev yz5 vxop4;w/fc3w ,,u6okmj wave's;6fvk y,/w ,xo c 3wu4ovjzpm5

  For a wave, the frequency times the wavelength is the wa++eqq949 o xg uaidb.xve's

  The frequency of a wave increases. What 1v(0wd6a+k5qcv r 6lujir0. :gdgoih happens to the distance between successive crests if the sp15 u:0ol6( hwg+rdgrviivkdca .6 q0j eed remains constant?

  A wave moves on a string with wavelength21f)t5yz0 5kl swv l( ijeyex6 l and frequency f. A second wave on the same string has wavelength 2l and travelskll e051( 6fwz vtye )5y2jxsi with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave oky oi3qw1 *pi4hc-a- cn a string of length L, mass M, and tension T. A standing wave is qyii3c- *o -wkpc 1ha4set up. Which of the following is true?

  A string of mass m and length L is uawvoao ep* 9 qnq81jn- :-6jpunder 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 ofq *aw :aqe-p-jonu 6pno891vj 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 wag3pnz 1 z;;bu vcpk*2nve in the string is v. What will be the speed of a wave in the stringg3npz;1pvu ;n 2bzc k* if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tensionua*p x0dab l0) T. The speed of a wave in the string is v. What will be the speed of a wave xa0d)b0a *ulpin the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave ,c planvh 6ucz3;(l0p travels through the Earth, the relative motionlhp a ;u6nv 3zl(ccp0, between the S wave and the particles is

  In seismology, the P wave is a longitudiy 8tz6tp7wjgrc1t 53znal wave. As a P wave travels through the Earth, the relative motion bewgr zt y3c56p87zjt 1ttween the P wave and the particles is

  The intensity of a w )m.5qc* )fdga.px(;.uxg,r acksu xy ave is

  A wave pulse traveling to the rilk*0kk5 as7l qjgbjf8)zuz6zm h m-tj u:11.mght along a thin cord reaches a discontinuity where the rope bs:m 0*jbmg1 8z-5lajz 7uk6fk1 mj .)uqkzhl tecomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, on gq +h**zk/1j/yb i.6 ka:s/ vuqufhbje is traveling toward the right a *fq+y/bah //bkvju:*kiq g6 .1zshjund 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,h z4whwl99q f5eia f) 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 thzwi459f) flqha hw,9ee same time

  Resonance in a system, such as a string q d,0.n c:ao :6tyue9ul,gae a:gp-mbi7:iih fixed at both ends, occurs when

  If one doubles the tension in a violin string, thehwt;jz+: 0hix fundamental frequency of that string will in+ z:itx;0whh jcrease by a factor of

  What is the spring constant of a sprinryw 16d1vb0zu g that stretches 2.00 cm when a mass of 0.600 kg is suspended r b1w01zu6y dvfrom it?

  A mass is attached to a spring of spring (tf.niecvy2;6.xrq*zwuw jx4 1 f m(vconstant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched bymv4evqj(z6*f.nw1y xt ( c ;wx.uifr2 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 s3b6im 2mq 3bzq*lm4(hka sme:pring 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 its equilibrium position when it iz sb ma mihm3 l(46kem:3qq2b*s oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along iv5dfb9vfol:pw +xi) k5; d:k a horizontal, frictionless surfa f5vdk+ib kdi)5xw 9 op:fvl;:ce. 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 frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 co9i0ejmmt8eum 2 9 9kg it3fi9u2jvky0mplete oscillations in 5.0 s. What is the period?23980ij 90vyujfket 2 gt ii9emm9kum

  A mass vibrates back and forth from the free end of an ideal spring of spre7 v:.tza l*acp1/ke7t y hve-ing constant 20 N/m with an amplitude of 0.30 m. Wha7vea: */- yehe1pt .kv calt7zt 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 con1z3uhy 8r dpac,+ xu-ostant 20 N/m along a horizontal, frictionless surface. The object osz 8+h,uyaurpox-d1 c3cillates 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. Th e /4mzuh5fpl h9x/o8fe energy is 8.0 J at this time. The mass uzx5hfhmf eop/489 l/ 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 q 1qxsqa;3kh4constant 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. hq13as4 xq;qk What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a/jos6z 7b mjfk74ku 4h horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s 7 4jf/zs6kb km4j ouh7at 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 ho.x;gez +creu v7gxd;yh-(i- rrizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. Whaxdze;+ rvig yghr-e.xu (7-c;t is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end ov**a6vhba *p*nwg;yae; 1 l bof a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.1ab*va1bal pn*y evw*;h6*;og 0 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal sprinmzqt ytaxpy m.i 84/.(g of spring constant 20.0 N/m with an amplitude ay./8tqixt.4 mmz p( yof 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-sprin ix09t p(y9+nzu6tkb xg 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 mass had been displaced only 5.0 cm anx xy9 p60btz(u+tkni9 d then released?

  A 4.0-kg object is attached to a spring of spring constacnux9jkrps ;y y36(,v nt 10 N/m. The object is dispcrux6k3yy npj;9(,sv laced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is at4yc cs t36ru+t7h7n amt :gn -lh/.nnstached to a spring of spring constant 10 N/m. The object is displaghrntcn7lnc :h./t m4 a 63ss 7nt+yu-ced 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, disp-2c xbns ckj/b,xmh .1xs 70dnlaced slightly from its equilibrium position, and released. What is cx/10- n j.k n2xchxd7,sms bbthe frequency of its vibration?

  A mass is attached ts/roos : np.9yo a spring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2 sros.o n:y/p9.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attar1(aza*wq d y08bl1mhched to different springs. Mass A vibrates with amplitude of lwb*z8 ar1dya(0m q1h8.0 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 suspend+- ,3t67ee,x a3 sbgtxrqazsted 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 and released from rest. Calculate b7q36a,r+x,z3-a eettx gsts the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretcheslw/kw0r4v * iqk )0dyu the sqr*vy/w)0d0 4uilkkw pring 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.

  A 0.30-kg mass is sudo2ym6 ,3cq;p l5w qghspended 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 and released from rest.q 6;g5do2m, cqhywp 3l Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus time eqa( b3p:p(e bmig:)/,. njw,qz nvwcfq2 vbwe0uation::mb .(wbi 0n,p,b)z: (wcv neqpjqwveag/ 3f2
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion( )n*xstfw2 oj obeys the following position versus time equatioto)sxn w *fj(2n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple ezh+x7v r/ca2 harmonic motion obeys the following position versus time equatio+/xav7crz 2e hn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a sprin :leu(upv4k k3+r yrw0g executes simple harmonic motion according to the equationpk:u 3 u+(40wlrvkrey $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spr/,yzrjnf7e pct 6 9l4 tnnm 91swhoj(a8 i*ry;ing with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from 4w/nryj18j;pml9 atie r *(oht6sfy, c79 nznrest 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 ne( p1 *ot jcqfwik2q t5n0e.7its frequency and period o7(p *0i oqn.t wnft cq1je25ekn Earth?

  A 3.00-kg pendulum is 28.84 m loh k fi98aq9b3qxw7 +vsng. What is its period on Earth?

  A pendulum has a period of 2.0 cetc9:+wj ns m:t.f.a7r(q w. w yqw1ss on Earth. What is its length?

  The pendulum of a grandfather en7+ +q7uzubu clock is 1.0 m long. What is its period on the Eaz+e n7+uqb7u urth?

  The pendulum of a grandfather clock l ( 2dl8rekv.h i((vwptyz59xis 1.0 m long. What is its period on the Moon where the acceler (ldx9vh.i2ez trkylvp(5 8w(ation due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg skcg kxavj; (r.syaj-e8*vq,+c h d,y0 pherical 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 fryaa0h e,k -cvx*. gvqjcdj;8yrk( ,s+equency 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 2; kpq 0o9t0r2ge z mape28i6n)op(l8jgsb d)v 0-g mass has initial angular displacement of 8.0e. It oscillates ;z2)o68mgtr0n(0od 8)pba92qlvi sejgkpe p 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 wavhu- j5hc) kuix)wc7kx(vk2n4e at a given time. The frequency of the wave is 120 Hz. Wh -xnc4 )2khi7xvuuk5w( k c)hjat is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at l lt7hqzbnsu7-cr 5c+.4tml4 a given time. The frequency of the wave is 120 Hz. What is th. u hsc4+-bnrt7zll4l 5mtq 7ce wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenc/+s08 ng 3dqpudpb5jhmk0xi2y of the wave is 1pjs53 g 8d+iq/x0u dm02nkhbp20 Hz. What is the wave speed?

  What is the frequency of*fut 9ktf.igqt5 *h9y pq5mg(; x-ukk a wave which has a period of 6.00 ms?

  What is the period of5c:v yab 0 9(meaatt n2ca2gw2 a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of 3. cjhld ;lt)89w g+vip90 m?v9;chldtwpg+9 l j )8i

  What is the velocity of a wave that has a wavelength of 3.0 m and a fre4 t;*csjqkih 3quency of 1*it;cjsqkh 34 2 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400nj a9-3t8sx p qtlag1+ m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 N.g9rbo2/mff4ot. a 7y x What is the/ o4og7t frfabm9xy.2 wave speed?

  A string of linear density 6.0 g/m is under a te8mml ell.q 1x5afwe6)nsion of 180 N. What is the velocity of propag xe6.f)85lllam qw1 emation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire 14i *n:xtjsz .c/t1,jzfi p:xp-kyb mc w+-tbwhose total bsy, -jji t: zzib*pccfkn1 .-p+x/:tt w4xm1 mass 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 a 2.0-m long st/fh.dvbjh,e:yf6n73omctu5c g .6azring fixed at both ends is 200 m/s. Which one of the following is not c:byc gt.f5 ehom, h3f6dun67za v /j.a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 vwi:jd7 ci p6t5nc,n2z2+ w-b3*zym jw)bi oeHz, which one of the following frequencies can set the string into resonant vibration?-e* zi)to7 w3b c6zjw2py:n5 wdincm 2 bijv,+

  A stretched string is observed to have four equal segments in yas1j-knuz g3l5q8 i-a standing wave drivz lj-3sg8-yniu1 akq5en 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 12kvx *h/,h pyn0r.eu6t Hz with a standing transverse wave pattern containev6 .ku tn0/p,*hxyh ring 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension )x/9u(qb )meje5jk/v2iirsp of 20 N. What should its length be if 9e5jeumx bi(ri v))q//jskp2 its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m and w2s 5m6o dd0nwlength 0.600 m when it iwsodn2m05w6 ds subjected to tension of 50.0 N.

A string of length 2.5 m izr2wcg p1e06hs fixed at both ends. When the string vibrates at a frequency of 852c1 eh6wg0pzr 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.