The time for one cycle of a periodic process is called the-m1+3 w0 ndrotvoa 1fe kvo)n;

  For a periodic process, the numbev z8kv5;tfyrz1c, lo/r of cycles per unit time is called the

  For vibrational motion, the maximum disw7x )6 pw*or :bknuff0placement from the equilibrium point is called t: wn0f)7 6wxkfr b*opuhe

  A mass on a spring undergoes SHM. When the mass is at its maximum di(lz -ziy9l tj4w08pqisplacement from equilibrium, its izw 8t-y (9j4lql ip0iznstantaneous velocity

  A mass on a spring undergoes SHM. When the mass p0pwv8 dh;a;ot1p(qgi 947 cs jsepft9asses through the equilibrium position, its instantaneous veleps1 v40 p;;p t99(gc h78af wdjtiosqocity

  A mass on a spring undergoes SHM. When the mass is atk p d 6)te/xon3gpd28mbkp:1i maximum displacement from equoi 3kd2td18 mpp6 :e)n b/gpxkilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and2 h0f eatfy/-h bobs up and down between points A and B. Where is the mass located wf0y -t/ae2h hfhen its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bob qblh9l z6.t9ss up and down between points A and B. Wllz9b69qh.t shere 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 poin tr*wsvdluc75r) +pvot4r m.bk-.u q/ ts A and B. Where is the mass located when its potentco qkr5 lp-vuv4w bsr.md/* t+ r)tu7.ial energy is a minimum?

  A mass is attached to a vertical spring and b/p pde, fse5s8kk *hf;obs up and down between points A and B. Where is the mass located when its pots 5pd* eskhek,f;fp8/ential energy is a maximum?

  Doubling only the amplitude of a vibratingtxue( 0/jfn wq d7(5hh mass-and-spring system produces what effect on the system's mechanical d 7fwh nex5utj/0 ((hqenergy?

  Doubling only the mass of a vibrating mass-and-spr kq((:b4+x ie gyxsh8fing system produces what effect on thi:h(kxys+ ex4gb8(qfe system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system prod6,t.-fwmvfz cqm 6ru :vs(yz,uces what effecf-w,s 6z (qy.rtu6m: cvvzfm,t on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Mookxkea1ejg+1. n. Where is the period the greatesta.1e ekx1gkj+?

  Increasing the spring constant k of a mass-and-spring system ce:ekl39-;+tsw tr ckgauses what kind of change in the resonant frequency of the system? (Assume no change in the sysk3rk9 +tt gw: -ceels;tem's mass m.)

  Increasing the mass M of a mass-and-spruyj p8gpoiih c,94+/efw95fd ing system causes what kind of change in the resonant frequency o,gef9w5/pu+ip f 49hoc dy8jif the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sprinofd 7:uhfk:mw ;yp0 b/y8zn; wg system causes what kind of change in the resonant frequency of the system? (Assume no other changes inpom0y;hn;wbw: :zkfy/f d u87 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 stringn* qw4-khkm -o of length L. For this system, when undergoinghko- k -4nw*mq small oscillations

  When the mass of a simpe 55dwlm m5f t4vs9x*ele pendulum is tripled, the time required for one complete eld5w5 vx9e5mt*m sf4 vibration

  Both pendulum A and B b)gdbk7f53i ) xl,n plare 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. d,pb5f3)7x)lni kgbl What is the period of B?

  When the length of a simple penxs0x7 1z7vkmckn +xb7dulum is tripled, the time for one complete vibration increases by77 7s0nv+zkc1xkxm b x a factor of

  What happens to a simple pendulum's frequency if both its lengz: q.*vy j0c;anxu)d rth and mass are increased;)qj0cxvy a *rnzu:. d?

  Simple pendulum A swings back and forth at twice the frequency o(1 gidbwo pb)x5fx p.po/6)pmyb+ ; chemlv2 ;f simple pendulum B. Which statement is correct?g povd py bhbpxbx )/em;m+w;o1f i26lc5).(p

  If you take a given pendulum to the Moon, where the acceleration of gravity +jj s;s b9iv*uk6bqy9 is less than on Earth, the resonant frequency of the pj+jqsu6; ibyk9b9 *svendulum will

  Curve A in Fig. 11-1 reprobs3 6wvs/ k.fesents

  Curve B in Fig. 11-1 ri/u iuer v;2-hepresents

  Curve C in Fig. 11-1 represen3 puqqec7.6b yhn16frts

  For a forced vibration, the amplitude of vibration is found to depe7;l,n;/a;(fkczm;aaan63 icgaoi w k nd on the

  In a wave, the maximum displacemedt 2nh6j0nl ;y 7xcc5wnt of points of the wave from equilibrium is called the wanc6 2jxn dhtl;7y5 0wcve's

  The distance between successive crests on a wavglm+;qkb : it0e is called the wave's

  The number of crests of a wave passing a point per unit time dum/u-d:igr fy d iv8wy6/0):qj 1w icis called the wave'mjdv:w qiry0wd-6gf:/1)u8 iu dyc / is

  For a wave, the frequency times the wavelength is the w5pcc8f9n fk7 save's

  The frequency of a wave increases. W+6fn0bvp exl z8y c28lhat happens to the distance between successive crests cxyplz lvbf 88e6n+2 0if the speed remains constant?

  A wave moves on a string with wavelength l a w degz2 rz;0fuh:n kbh1*;o3end frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. 0;ednbeo k31:rhz2zw f*h ;g uWhat is the frequency of the second wave?

  Consider a traveling wave on a string of + n4n nxoz7,ml0pvt c:length L, mass M, and tension T. A standing wave is set up. Which of the following is ,vpx 4lm0+:c7tn znn otrue?

  A string of mass m and length L is underpv+eiys :hj zhez b73-6vga :; tension T. The speed of a wave in the string isze+sgjz v:hiabyp -7e v:;6h3 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 a q.dl57 4ielh8ficd8 rnd 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 length is increased to l87li5d8 qf4h ecd. ir2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed ofbe o-pvvuo6vnb8 -w -xps1z0 ; a wave in the string is v. What s-0b;1ooevx bnz -wv6 pup8 v-will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through tyaj8csok1q5h6l3 x2w a( * oxkhe Earth, the relative motion between the S wave and the partic 8ka yhks3qcw2ox1*l jo a5x6(les is

  In seismology, the P wave is a longitudinal wave. As l(t8b1;q:nza cunqfxv :um5gu.f ; t.a P wave travels through the Earth, the gum:qfa l5z :t n.ct( qunuv.18;bx;frelative motion between the P wave and the particles is

  The intensity of a wave *x6alg n n.2y ch/ lg.ww*rq w-ujep)( 5s3pmbis

  A wave pulse traveling to the right along a thinf so1ais3e0g1 cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulseo0 s3 fgi11ases?

  Two wave pulses with equal positive amplitudes pass each p fi43o uof;,eother on a string, one is traveling toward the right and the otpf; oo,3ufei 4her 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 tra9f vye:wc5q*kb3 cpu*veling 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 occup35fwbypqv* c9ke* :ucy the same region of space at the same time

  Resonance in a system, such as p.5r jxctxhqkig3bzr8*t1ygb 5qp4/4( 4k waa string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental fre g55h+ wbsc4t:jkq(n6v l/ mjgquency of that string will in65g v:qb lh4gkts5mcj+(jnw / crease by a factor of

  What is the spring constant of a spring thi1t0 j-no p6*l4sak enat stretches 2.00 cm when a mass of 0.600 kg is sustsjeo6 l1 -a0k n4n*ippended from it?

  A mass is attached to a spring of spring constant 6ip2qw4f urfyjcgq 6aot)zs/4 1h1p.f )y2, xv0 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. .u6r qwtxh, pyf4p1g)y z1svc f/aio42f2 )jqIt 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 60 N/m along a horizontal,7 lx3f28z qsrh7 cvy9z 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 positionl97vr xyq z8 27h3fczs when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m av,yi:w/ fp af0auk oji*1t +n/long 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 equnp ik/w+, *t/ofai :fa0 yj1vuilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergo128kjnpj q.fm+ bcnr/r0gjpi7h0 ll 6nx.me ( es SHM. It goes through 10 complete oscillations in 5.0 s. What is the pe/lcm.n m+xkb1g pj0n0f 8h2rr7 jj 6qpn.l(ieriod?

  A mass vibrates back and forth from the free end of an ideal ta*exzfy:7 3h: i4 nbospring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of t 7 *ezbafh4t:nioyx3:his 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/m alo5.jxr nvpvx5,ng a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the x ,nv5.j5rp vxequilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.aepe /+h a5c6v40b lhr0 J at this time. The 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 no6v a5b4hea rc+hple 0/w?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/qz i)y1(g9qb pws 68afm 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 amplpqw6 (s1z)y 9ifqgb8 aitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant j61 l,9n0sgu.qcf bfo 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 kinetic energy and theq0f,1j 96bf.uosncgl potential energy the same?

  A 2.0-kg mass is attached to the end of a horizuy-,n 4l;nbp ik8 1zggontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitupz n8uki ;-g,bgyl14nde of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal sd u o*x,-v9jgmpring of spring constant 50 N/m an*o j,x -gduvm9d set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and dw8e:jseh58 g 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 maximee8j :dgshw58um kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm fromfb3,b64z g1qh7 xlqi k its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mazq i3h,1q flk6g bb47xss had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 0/wknxsqd*c :)jzq)zv3l,du N/m. The object is diu )j )v:3n/dzqs0wq,*d zl cxksplaced 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 1m9s9oydt)kej889y/ ol wyu 0 o0 N/m. The object is displacym /kow9ytu99) yeld8o 08j osed 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 constantwc (oti0c) re. 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibrrc0c). iwe(toation?

  A mass is attached to a spring. It oscillates at a frequency m,rscl.wg1 ) (d/4 afkfphx7sof 1.27 Hz when displaced a distance of 2.0 cm from equilibrium angr1)cpwf7 ,.lm /fhdxs 4k(asd released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to d pwltup)52zc. ifferent springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amcuwzp5.pl)t 2 plitude 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 suspendexz7lv;afg 4yo m: 0rwsq9k9+h d on a spring. In equilibrium the mass stretches the spring 2z 9wa hfo+k4mgsv:l; xy 7qr09.0 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 masbddc670- z yj.osrit2o oe /.(iruv*m s stretches the sprioeisz.*7td.2d rj(-cmvrioo /u 0 y 6bng 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 susp/o +fv5e a x bvqpc(q(4wv/tm5cj- +utended on a spring. In equilibrium the mass stretches the spring 2.0 cm dom bet wvo+v / pv5cx4/cu(-t(qq+ jaf5wnward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple md2 9sre 6.xoyharmonic motion obeys the following position versus time equoy6r 29em.sdxation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followit +/:wk -t ;ul+ ntcj(zwk1rayng position versus time equatwaz+t (;nk jtyku/l: tw rc+1-ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys;cwfwu c;:s-6ntcd*sc d6f2j the following position versus time equation:twd;*c n66wuf-2;d fccjssc:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes siyu6diwy ag:o5y40uu2 l gg)3kmple harmonic motion according to the eo6ugiy0ka gudy y2glu:4 3 )w5quation $y = 0.50 \; \sin (18\pi \times t)$ 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 constant of 20.0 N/m oscillates onyklbc1pte p.2d f973 h a horizontal, frictionless track. At t= 0, the mass is reld72 b1lthekpfp39yc . eased 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 frequencyf8np9e* 9pvp)p b87kdvq 8bmo and period onp *)kf b ve7pob89 8npvd8mp9q Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its peyf dgif/xtit4;m 38 1kriod on Earth?

  A pendulum has a period of 2.0 s on Ey2pw0 j3ejs+varth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is s a 3x4h2ib)8ol/)dsvtosji8its period on the Ea/4ajto x liss2 )8vbsi3)odh8rth?

  The pendulum of a grandfather clock is 1.0 m longby(ocw +ynf-od kxo-y+xxdoo 2;- - f(. What is its period on the Moon where boo-kf+-w x o2 +xy- xdy;do-n((focythe acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.nlr 33zn+ryc3nm 3e :s25-kg spherical mass attached to a massless string. When the mass is displaced s enlr m yn3c3zn+r3:3slightly 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 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consistpda6buo;xg :;bpvkq;dp. 1. eing of a 20-g mass has initial angular displacement of 8.0e. It oscilu;a1begp b;d6pqd.xo ;pkv:. lates 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 w, x db2xg1qr2 daxh9n-ave at a given time. The frequency of the wave is 120 Hz. What is the amplitude? xdd, 9qn h xax2br-2g1

  Figure 11-2 is a "snapshot" of a wave at a given time.hfsjhy:t60 hc+ yl :9y The frequency of the wave is 120 Hz. What 0 9y6hl:ysc: h+yjth fis the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wa cmsu7; dqu4 6i5z-sftve is 120 Hz. What uc4z6mq5 ft7 ;i-dsus is the wave speed?

  What is the frequency of a wave which has a p(rs:s xc-7m.2mvfwt j eriod of 6.00 ms?

  What is the period of a wavamv1y f lx+*1de with a frequency of 1500 Hz?

  What is the wave speed if a wave has axx 5mm/2gam yzs7ze;qoub( yoxa8 z)(55o .e q frequency of 12 Hz and a wavelength of 3.0 m?xe5e8 s xxz2;5muay7 zmob./m(o(yzg qq 5ao )

  What is the velocity of a wave that has a wavelength of 3.guv52tk.+ wqg u) .yiy0 m and a frequency of 12 H5q )+gyk.g2t uiw.uyvz?

  What is the frequency of a 2.5 m wa/gv q+5s9gm vcaa)yh1ve traveling at 1400 m/s?

  A piano string of linear masdmo5r;ejpb 55nkwk2 h54t fx; s density 0.0050 kg/m is under a tension of 1350 N. What is theowj4t2n5k;d 5b ;pkrefx 55hm wave speed?

  A string of linear density 6.0 g/m is under a tension of 1803 v6l:c0tylja -(hptwp3 /un z N. What is the velocity of propagation of transverse waves along theclvtazul-t0h3( w/n6 :p j3py string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose to/ bx.yk /iv /jqf.db1etal mass b//id/y. q.kve jfx1bis
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 :v 5 x5dglanft3 pcu:*string fixed at both ends is 200 m/s. Which o5f :tp *:3xnd5luavc gne of the following is not a resonant frequency of this string?

  If a guitar string has aphr) 42 4mk9tb vz)cdw fundamental frequency of 500 Hz, which one of the following frequencies can set the striwdvk2b9hr c4) tzmp )4ng into resonant vibration?

  A stretched string is observed to have four equal s 8 xm-bbr)c.x)rj uc90sb)rwesk6,o tegments in a standing wave driven at a frequency of 480 Hz. What driving frequency willo.tbx6er 0sjk ub),-)mc c s8bwrr9)x set up a standing wave with five equal segments?

  A string, fixed at both mm2i u 4v (kui6elllh,163ejkends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to conta m62li k j6ll( 31i4uehue,kmvin 4 loops?

  A string of linear density 1.5 g/m is under a tensidtp3iri )x 7v6on of 20 N. What should its length be if its fundamental resonance frequency is 220 H)63 7irit vxpdz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m azr -:7oa8bg pznd length 0.600 m when it is subjected to tension of 50.0 N.zzp a-g8 o7rb:

A string of length 2.5 m is fixed at * e d(,mimi3qbboth ends. When the string vibrates at a fred,b3 i m*eq(miquency 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.