The time for one cycle s. 38hjp+u5z7xlcenqsy3.jl *g8heg0i6lv s of a periodic process is called the

  For a periodic process, the number of cycles per unit time is ib0cwqv p na0h0:rs **q zel86called the

  For vibrational motion, the maximum displacement from the equilibrium pointe v 1nxp7tj6fz+60 ogf is called thetzn ej71g6+6pf 0vfox

  A mass on a spring undergoes SHM. When the 7 jb qv7r(q1nemass is at its maximum displacement from equilibrium, its instantaneoq7v17 rj qb(neus velocity

  A mass on a spring undergoes SHM. When the mass passes thr6ni2 p4v2kt aitcyld)np. 1)q +y5yugough the equilibrium position, its in q.d5)pnvylgy1i k6y a2 )c2i4+tup ntstantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displi/qh z8)p z :5og/xg hryt;zg 0d rx*vtby9)m(acement from equilibrium, its insbx:gzdv;iy8tzr5) yhqg9/)g (p0o/ t*x h zmrtantaneous acceleration

  A mass is attached to a vertical() e +;xbq1xwcofwj+ d spring and bobs up and down between points A and Be(xw)c;j+f qdb+w1 xo . Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a verticavq 7gt4h;h/b3i na0d grr .(xzl spring and bobs up and down between points A and B. Where is the mass located w7g; r4(gqahv /xd3 th0n.rbzihen its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between lblx qa/15 z;mpoints A and B. Where is the mass located when its potentiz5mql/;x a1lbal energy is a minimum?

  A mass is attached to a vertical spring and bobs *s ;. .l:revvur,p3a tt.+l4oxsegqg up and down between points A and B. Where is the mass located when its potential e.3x+ttvgpl,avs . *r4 s;.ruogel:e qnergy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system gjq3//fihf 3m produces what effect on the system's me imj/ff/q3 3hgchanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces ,za3 h*w*jqzhzb yz/ m/n.z7s what effect on the systz7 ,q*y .hj*a 3zw zzhbn//zsmem's mechanical energy?

  Doubling only the spg4 2)3cp fz 1eixcsh2sring constant of a vibrating mass-and-spring system produces what effect on the system's zs4xccgsh 1)pf232e imechanical energy?

  A mass oscillates on the end o2jx+3t- vzxw2 keyb j 2fpj:6wf a spring, both on Earth and on the Moon. Where is the period x6 y2pjet3: 2b+zj2vkjx ww-f the greatest?

  Increasing the spring constant k of a maetps(9bocsq4ls -m9+ 4- xmhrss-and-spring system causes what kind of change 9 so+e- h4rb(sm q4mpx-sclt9 in the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of agg ,rxt/dko :( mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no chgtgx:do /r ,(kange in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kpz4-vp-ky lfjc f85(a ind of change in the resonant frequency of the system? (Assume no ozpylcp4vf-fa(5- kj 8 ther 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 .a8o uuyyp:c+lp2p r8to a weightless string of length L. For this system, when undergoing small oscill.8a2+ :r l yu8ppucpoyations

  When the mass of a simple pendulum ia8vy td:nw-eqc : 1hw+s tripled, the time required for one complete vibratio::wa+ wey 1v nd-8qhctn

  Both pendulum A and B are 3.0 m lonj8h oul2y5r 2kg. The period of A is T. Pendulum A is twice as heavy as pendulumh28uokl 2y 5jr B. What is the period of B?

  When the length of a simple pendulum is tripled, thep,ptaicre247g wy*k ) time for one complete vibration increasese*7a ,pr cwg)ykti 24p by a factor of

  What happens to a simple pendulum's frequency pl w;uqe+tz02 if both its length and mass are increasedqpl2e+ uw0z; t?

  Simple pendulum A swings back and forth at twice thev/t2ht d nr0qh bnm+fr;6b*7i frequency of simple pendulum B. Which statement is cori6 ;0/* rnt2nfbmrhq7vd+htb rect?

  If you take a given peq4pkz+ z7+wh2 :h zqjnndulum to the Moon, where the acceleration of gravity is less than on Eaj7h 2pz4kh+ + w:qzzqnrth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 repr r6ltmhwf9270rehkj 5 esents

  Curve B in Fig. 11-1 represenmv 34p7pkv0l kts

  Curve C in Fig. 11-1 rep w:4zmd6h-w olresents

  For a forced vibration, :-qsgi l+;ko ythe amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wav5 h7vgt.3n 5c7p ewpyge from equilibrium is called thv5 yg t7wg.3hc75enppe wave's

  The distance between successive crests on a wx( /azuznh*: +pz2 xqhave is called the wave's

  The number of crests of a wave passing a poi 1ada *z18m5hmyri h;0pf8mqbnt per unit time is called the wave'1 m5fb 0q8hmd*ip1;zaa myr8 hs

  For a wave, the frequency times the wavelengt-z.nwu rxaw2r4 bl 1;;ti0pap v9g0vgh is the wave's

  The frequency of a wave increases. What happens to the distance betwm ch p6vwx rn:;0na(lk)s quz:g )y,k,een successive crests if ( kqn c:lz ),u :sghv;,6yw) nrapmx0kthe speed remains constant?

  A wave moves on a string with wavelength l and frequency f. Ad 3m bd+zpej o)*0lj70 g 3(hydufpdd1 second wave on the same string has wavelength 2l and travels with the same velocity. What is the fref zu0 e13*dmlp+0hj73g)d ybd(odpdj quency of the second wave?

  Consider a traveling wave on a string of length L, mazk:zj9w2 b:c0oga-yr ss M, and tension T. A standing wave is set up. Which o: jbowrk-g :y c2z0a9zf the following is true?

  A string of mass m and length L is under tension T. T.tfirn *4j )d4zbh(eqhe speed of a wave in the s zhj*4dqe.4rnb(it) ftring 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?

  A string of mass m and length L is under 6l d tb3wce2tpgzzmcj:35k3r*or+ 1 g tension T. The speed of a wave in the string is v. b d:5 c3jelc z2p+1rg6o g ttrm3kw*z3What 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 speed i5s +l7zbs tf(of a wave in the string is v. What willst7zbi5l sf+ ( be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave ytc( aqsb/9 )nis a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave a cq/9tabsyn)( nd the particles is

  In seismology, the P wave is a longitudinal wave. As a P wav-;h+w bg7csyve travels through the Earth, the relative motion between the P wave and the p+-w 7ych; gbvsarticles is

  The intensity of a waoj1 3 eo2si4vqq; +skuve is

  A wave pulse traveling to 6cmzy: wwl:m : zjs(.bthe right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflj:zw.6(swm: bzc y ml:ected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, oy u. )hc) uq,lr cw6qclpm(9)1d1tghbne is traveling toward the right and the other toward the left. At the point that they occupy the same regr1qmh wg) c).bc y(1)p9dl ,t6ulchuqion of space at the same time

  Two wave pulses pass eac, 7(hx)iiv -acwzt c0bh other 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 pointbcxha,wc(viz-) 0 7 it that they occupy the same region of space at the same time

  Resonance in a system 6 bgn9t(i ,odizi1ue6, such as a string fixed at both ends, occurs when

  If one doubles the tension ipgbbb6xz.f n(8 l8gh) n a violin string, the fundamental frequency of that string will increase by a fact b6n f 8p(bb)hzg.l8gxor of

  What is the spring constant of a spring that stretches 2.y+1;exw2s(cqt2ky da;kj+va 00 cm when a mass of 0.600 k+sc1ayq(kt 2k;aj2;ey dvxw+ g is suspended from it?

  A mass is attached to a spring kokrfs53 4o :vj:*drk 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 ss: kv:r*kjr3oko54 fd to go back to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a nmp(v7tnw5 qp /rz4m7q3p mj/spring 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 t/n(7mvq/npj4mt 3 m5 p w7zprqo its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring co(xyj2 dhmi8 ,hq6a +tanstant 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 0.508axq( ha 2dihj+6t ,my 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 oscillation-wfamvm6 kxewd;4nr rb oz61 : ;:poi6s in 5.0 s. What is the;o:rn;kbx vf6ea w- m6oi41:p 6mzr dw period?

  A mass vibrates back and forth from the free end of an ideawd6k aiftrrs yh909f401sf z1 yg 0rd01o(dujl spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass whenrfo1rs0tgdhdsu d 4a09 1y (f0jk1w 0iyr f9z6 it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m a:k9xu8k t e(i*l 4xhbzlong a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equkih bk:8ze*9t4ulx(x ilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energ9dzhgc ; s gyx/ yke wey:7hp/.t*5-aty is 8.0 J at this time. The mass is cut in half, and t/*yyzg :5s;t-gh97/.k ceph eyaxwd 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 attac96x8j:*gjzmr zv/ os ched 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. Wh zr:89j/cmxvojg zs* 6at is the amplitude of vibration?

  A 0.50-kg mass is attacuqyho3quyi 1sw:mz+ /;n+z .uhed 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. At what locationy +/qi; umn.:yz1u3+oqh zu sw are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attach1,anyrkbf n 8+ed to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m+abkr,n1fyn 8 . What is the total mechanical energy of this system?

  A 2.0-kg mass is attached toblu uep 2+g5,,zr*iya the end of a 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 mechaniglpuarbz ,yu+,5*i 2ecal energy of this system?

  A mass vibrates back and forth from the free end of an ideal +6zmb i7lrjvrbxx)1+ spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the xmixrv+b )zr7 b6+jl 1maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displa*k(mlmod:jh - ced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observedm -ok(dj:* lhm. 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 qhh1o q8 ny--*;sxxyfa spring of spring constant 10 N/m. The object is displaced bf;sxq*-h81 nqyyohx- y
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 sprina0fksk66 tlv8 wtu,g0g of spring constant 10 N/m. The object is wug0 66f 8tkvla0,skt 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 spml+ 4weve 1kr3ring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibrationlmk3w +4 ever1?

  A mass is attached to a spring. It ( gph54 a +g2iwkmviuwcq 7288t tgk,boscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained b4k52tg+ hw(,k c8vga28iwqpu gm7itb y the mass?

  Two masses, A and B, are attached to dq9gi6i5h: pgx ifferent 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 a frequency of 16 Hz. Hg5:9 p giqi6xhow does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass.,t /if;p mrzrs-4xghx :uu9f stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cxr9 irhfz :.;pt/xgf 4u-s,mum down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretchigh/, s8f;pn2yvdx q 12p c.bfes the spring 2.0 cm downward. The mass is then pulled an additional distancen.h gby;2s p2fi xf pvq/1d8c, 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 mass stretche ,wxgf.wz*+ x*.5oid awe6xwks the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write dowz .i wow+6fw w.e*dgk*xxx a,5n its equation of motion.

  An object in simple harmonic motion obeys the following position versusvx uxsmy; 8 oy:(v0wt ti 9i49d:x;eyd time equ wxe4d sitoty8m 9(x v:yy;0:d9;vu ixation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmoni 5p ym 07xous8a a20yqhbjizi)n;jc-:c motion obeys the following position versus time equation:-7 qaiaycynhoxz8 2 i:0up m j05)jsb;
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the ai tou+pn l;j-1g *6eb x-yi.xfollowing position versus time equaya -g; u1e- iot jp6*x.lxni+btion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end ouw: o8 b sr,ai/:u/xoxf a spring executes simple harmonic motion accow oao:u / i,8:xsub/rxrding to the 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 forcd4ar cgt j59e3no2qy* e constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretch e43n dacrt 59*gj2qoyed 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 comple1o. at,fu 8ci2s1 sebzte swings in 8.0 s. (a) What are its frequency and periodussb zt1 i,e.f a28c1o on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its +x+r))n4o bu52apa( c c gntfpperiod on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lemw9ijz1+ qn-3nls( rgngth?

  The pendulum of a grandfather clock is 1.0 m long. What is itf qaaniv7(3xari3 *n+s period on the Earnr a in+x 7f(*av33iaqth?

  The pendulum of a grandfather clock i:(.y ixd u*uzhs 1.0 m long. What is its period on the Moonu*z (x:id y.hu where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass a5b fz oev;xoy0tc9w1. ttached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with af;1o9 y wxbczv o5.t0e 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 disai8j( b b kvl+m(r0w4.amthj6placement of 8.0e. It oscillatesah bti08a(4jm.lw+ kbrv6j ( m 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. The frequency of the w*7 2 y2agvy:d r)e+ex8ggak qmave is 120 Hz. What is xk ygq)em 2ada r2gy*87g+e: vthe amplitude?

  Figure 11-2 is a "snapshot" of a wave at a give yd5uv:bc 0- w7 /dwc2yj,3efnlglcv9n time. The frequency of the wave is c2be:l 0y w3cd- ,/jl5yvdwgvu79nc f 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency zzzxmxj+q;tpeh:++ lx1nf6( of the wave is 1jztqhxef+z;+ p(xz nx61l m+:20 Hz. What is the wave speed?

  What is the frequency u z+tid,kcn-ew385caof a wave which has a period of 6.00 ms?

  What is the period of a wave wip 0 7d.zt,nrf+r,h2q uedydw1th a frequency of 1500 Hz?

  What is the wave speed if a wavevs*jd.wz)dq(l p* z s* has a frequency of 12 Hz and a wavelength of 3.0 m? (szqjd v d*lwsz)**.p

  What is the velocity of a wave that has a wavelength of 3.0 mrf c-05flfj d.n:jqz5w )lgi9 and a frequency of 0f9jl nql dr-f5. zwg:5ji)cf12 Hz?

  What is the frequency of a 2.5 m wave trave; *meo3 sf.cr zxqqr)ocii6 2j( 2,vvbling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 9kas,x u-l hz*1350 N. What is the wave ,hxszk9l-u a*speed?

  A string of linear density 6.0 g/m is under a tensiog dsj73hfp7tt,xuwh7e h4q b/ ; hb6x;n of 180 N. What is the velocity of propagation of transverse waves along /wxb73t;d, ebft;hhuqp sh xj g47h 67the string?

A wave whose wavelength is 0.500rs*44+i6adw9q z v/4 1bjph2agjbxxo m is traveling down a 500 m long wire whose total mass jba g4as xov/1i9+dq jh2w6p*xr4zb4 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 propaga(zvv+fn-i d hx,at+5xtion of a transverse wave on a 2.0-m long string fixed at box, d ixvh(+nv-f azt5+th ends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which og3t3vkvr8260 ma mvy lne of the following frequenciesvm62lk3 3ytg 8vm0v ar can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wavwr3aar/u: f8pt n r1*3:vzr zie driven at a frequency twvi / 8np:r13fz:ur3zarr a*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 fres0s 26n 3cm:un5ij/gc vz *zvaquency of 12 Hz with a standing traaung*s356vv c/znj2:s0c i mz nsverse wave pattern containing 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 of 20 N. What should;6as v;y bkmk(dbqsiiq ,) :a2 its length be if its fundamental re2sa6q,ksimidq kb;b) :va ( y;sonance frequency is 220 Hz?

  Find the first three harmonics of73qxsf/8t+l9cy xc1lc v h*te a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50c 1* /xte9lh87+y3qlc ctsfxv .0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates att-zfojnfi o:7 is9w4* a ff*i-nsj 7o ofit49:zwrequency of 85 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.