The time for one cycle of a p9rmr00 kt5o h erw(b2zeriodic process is called the

  For a periodic process, the number ofz +xu p2br(l;avae:s/ 2jzqa + cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibriu k +a zfcb(6zmr v ((r7lci6mzrfws223m point is calle6k3z zl2z cas72fcb(rfv 6r mr+wm(i(d the

  A mass on a spring undergoes SHM. When the mass is at its maxim ua-*2pti.ciqum displacement from equilibrium, .tiiqau*c p -2its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibriu7a6dzp(f 6hd7c 2x cxqr k56oqdrj; -em position, its inste7dqpd65ja xzqof;6k rc-r 76(hc x2 dantaneous velocity

  A mass on a spring undergoes SHM. When the 7dhimz)ha x.(4:qm l dmass is at maximum displacement from equilibrium, its ins:4d amilz7 h).h mxqd(tantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points A anl *g38z ng*p4etaiq;q d B. Where is the mass located when its kinetic energy iia qq* plz;n4*38ggt es a minimum?

  A mass is attached to a vertical uc:( m t uthom-b9 cm,ek494hyspring and bobs up and down between points A and B. Whm: bekh uuyc9t9mh-,(44motcere is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betwee)w7x0 ) hyp;m ;l,pyal xwja+nn points A and B. Whnym0jp7)way la x,xlh+p;w;) ere is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs 53s:cj3s ibhi tm t7e,up and down between points A and B. Where is the mass located when its potential energy jbs seic3ih5t37 , m:tis a maximum?

  Doubling only the ampvvs4cy:x b73 clitude of a vibrating mass-and-spring system produces what effect on the sb7 y3 svcc4:xvystem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system pr0wwvj: xl npd7utivv- 61-k- yoduces what effect on the system'd w0 -:6 k-p7v jiuvnvt1lxy-ws mechanical energy?

  Doubling only the spring constant of a vibrating mass-a ixh;zvwdb11q3 y/ v(rnd-spring system produces what effect on the system's vhwz; v13(ird/ b1xyqmechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. yx35.bq yho6s2;muhxWhere is the period t.sxoq6;yhuhbm32 5 yxhe greatest?

  Increasing the spring co ueb(8q 0/ 81zdfxerrbnstant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in 0 8 8(rfebb1zeqx/udrthe system's mass m.)

  Increasing the mass M of a mass-and-spring system causi u -7kppkys2 mnwjgaws-itj-axf.2 m9 55 6g.es what kind of change in the resonant frequency of the system? (Assume no change in the system jm.5ya. ix-ps2ftkw2-nia7s9 -pug5j g wm6k's spring constant k.)

  Increasing the amplitude )(f8+x) miml voyvvp1 of a mass-and-spring system causes what kind of change in the resonant frequenpi+ v l)mx(mvfy1) v8ocy 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 string of lene57q1nzs0p n,6 j9ljpc,t fdqgth L. For this sys9j,p n ne50,spqlzf6ctdj17qtem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one cx 8s+,r7tpehaompleter8a,t pexs+h7 vibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twice b o7l0oqsr)7 ras heavy as l)7 q 7sroo0brpendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vibrshjc jo 0co 7(is,ge,8ation increases by a ,es c0(,7gijoosjhc 8factor of

  What happens to a simple pendulum's frequency if bb) lv zo7:ka g7v1nggm.5ibp2 oth its length and mass are increa: b7zo. amp2b7i5ln)kggv1g vsed?

  Simple pendulum A swings back and forth at twicem /idfl5p b)o* the frequency of simple pendulum B. Which statement f5b ip )o/dml*is correct?

  If you take a given pendulum to the Moon, whecvxhyf*l0nbim+5p s9,; q s: wre the acceleration of gravity is less than on Earth, the resonant fybpn;,+x5 qs*90s :flhwvm c irequency of the pendulum will

  Curve A in Fig. 11-1 rey 16ihqw( qy0ppresents

  Curve B in Fig. 11-1 7jzt+ dn 6 cnv52mgxa8k (o2.d qwddu:represents

  Curve C in Fig. 11-1 represent+ tax.pe;l8y+zs liq)s

  For a forced vibration, the amplitude of vibration is founmmth9j0nwr 3+ d to depend on the

  In a wave, the maximum displacement of points ot-p cjimh1dw-6y k7/ zxfa7f 5f the wave from equilibrium is calleddkpfw-a 7mh5-y z617if/jcx t the wave's

  The distance between succespp xe4o9vm b mdlqn1:1x*h v zrg9-b;9sive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is ca1:93iocks4xbdc4 z l /zbkuc2lled the wave'szkd xcou94:/1kbbcis3 2l 4zc

  For a wave, the frequency times the wavelength is the wu9yji x(rr)r: d pi+9cave's

  The frequency of a wave increases. What happens to the dinc*d 1i5+lm.7mpcsl g2nlv:lstance between successive crests if*vlp+l 1s cgm 5lnn 27:mc.dli the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on the9-:ywpof anh xf25g ljy .:ae+ same string has wavx:9lfp a- n+2oyefy 5h:agw.jelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling w*m y (ecfawy/j2-l i u.z*f+-np8glsgave on a string of length L, mass M, and tension T. A standing wave is set up. Which z--safmpj2y*.+ cei/* gnu(g8wlly f of the following is true?

  A string of mass m and(h6en9ge(a k;/r+tyj. kzhw n length L is under tension T. The speed of a wave in the string is v. What will be the sp9( gkt wr (a;+yhn6./ kjhzeneeed 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 tension T. The speefii( 6 9r*jfacd of a wave in the string is v. What will be the speed of a wave in the string if the length j* 6r9fc(i iafis increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a 4ke+ ad8:y5uk ht tzk.mb5(qi wave in the string is v. What will be the speed of a wave in the string if the y kkt:+bh i.u(85tqmz4 ke5d atension is increased to 2T?

  In seismology, the S wave is a transverse wav5-d nhd9e 5(gtb3tll te. As an S wave travels through the Earth, the gnt 5e5dh3 (9 tdltlb-relative motion between the S wave and the particles is

  In seismology, the P wave is a lk6v59mu pdx6 9zm+ zz7c axn7jongitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and 67a+xz9jnv 5kzx m796zucd m pthe particles is

  The intensity of a wave isc t-+d mvawrmge98z 78

  A wave pulse traveling to the right along ai/ g fzi4s:d,i thin cord reaches a discontinuity where the rope becomes thicker an4dfs:g/ iz, iid heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass eac.b )tapqja.9 ph other on a string, one is traveling towarbpaqp. ).t9ja d 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 t8+(ydx9lm ek um) z*wzraveling 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 9*8k ) wdel m+zzy(xumspace at the same time

  Resonance in a syste hnngd ;qy*w1b/r b2v1m, such as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental *r ty1. mf;kjt5vwe k(frequency of that string jktyvrt(. m wek5f; *1will increase by a factor of

  What is the spring constant -qjs((hwxybs 32.fqp of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended f-q ysx sqjf.(3( w2pbhrom it?

  A mass is attached to a springax ):/ c xp )s2( ic:8il(rcfsftz8wpz 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 and8x) fzi ticss)cpw8 r pz/:x2(f:ca (l 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 60 N/m along a (w. *j cp ytswmd.ya7bg9 tee:bt .-y-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. What is y(p:-e*7ygyt..wstb- wecbd9t. m jathe period of oscillation?

  A mass is attached to a spri,y)u vw tw3, ixux6,fong of spring constant 60 N/m along a horizontal, frictionless surx3tw w,,ixfyv6 u,uo)face. 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 SHMss l hl9yqu4hs: )e7/u. It goes through 10 complete oscillations in 5.0 s. Whatss7e ) 9u:uhslh4q/y l is the period?

  A mass vibrates back )dc j /1m-mntkand forth from the 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 fr1nm-m/j)c k dtom its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m al/o+j/02 j/r-xfpjw tz r icm/o4ixw*b ong a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1j/i o*- /zi +bw/xfmjwc0pj4 r/2trox.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM i23xo/ yf3w(zxt4m sv g:dt,x j+ aqv-with amplitude of 4 cm. The energy is 8.0 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 3sm2(:t/ty4 x3 -ioq,jd+fvx wxzagvenergy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant mj9)1 ax+yx5zrgq ea320 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s atm5ja +gaq)y1xzrx 9 3e the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alehj 4kzc:-e avkvvk/i.5i, ty(9;fx uong 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 and4yk v (,a he:zfvik /kt;x9eu.ci5vj- the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constant 5dhdn6 r8 w(9 z2cddu,q:/mub6mkcz- m0 N/m and set into simple harmonic motion with an6dwkcdhm-umqur zm9 cn6d/2 ,d 8bz( : amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of8l j69.huu2 sr2uiy(r pcvo 3p a horizontal spring of spring constant 50 N/m and set intop 2plcv2oh.jsu6ru( 3r 98uiy simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from th.jszv 8ur m+e(e free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. ejz.uv m+sr 8(What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is disq)rdj:433 oqcljg*upauc5 q 9placed 10 cm from its equilibrium positjqqqud53)49 *oa 3:u pg crcjlion 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 and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The objecta9u5mkd p96pw ee d xaydw 13d,vq-8,r is displaced bye5xdv9 w3dpu dy-rae8 q6 ,km9 p,1wda
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 cl 6 peue+xro) *hjn+5oonstant 10 N/m. The object is displa+hulox +*) jpoe6n e5rced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung fromt 7ahv x05 e;7m gsdu;2efux6u a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and rel;ae27v 0u7 ;mgs xet udh5f6uxeased. What is the frequency of its vibration?

  A mass is attached to a spring.y/;y3as1+ff- bq p8qoowo :fj It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and releasey 8jaof+qsfpb1-/w fqo3 o:;yd. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attowtg5:mryw(7g/zxaq0y ceb1h-e: y * ached to different springs. Mass A vibrates with amplitude of 8.0 cmrae wmw7y:gzct10h/ eo5 :- yyxgbq* ( 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 suspended on a spring. In equilibrium the mass stf3* l ve2elnp+retches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and relv+fen3l 2lep*eased from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspeh(hod: lm mp -74jv .scd7-xycnded on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1os c-(.-p7m4hhcyl: 7mvj dxd.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended / gqak2y/x6cse,o .xg 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. Write down its equation of motio,oeq2 g/ k/ gcxs.ay6xn.

  An object in simple harmonic motion obeys t)g: i4d xbek6jzq8*eghe following position versus time equati:d xib 84ege6 *g)zkjqon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position veu5ogw; ch;8 40chetptkc(ei o+ s:j4hrsus time equajtg+ i; 0c4hpek e45w8cos(thoc;:uhtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys ,p.x2brk6rer7 r0onz the following position versus time equatioober07xkp2. r ,rnr6z n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simplq5pr5p 8v kp3b 5a; jvd;et.jye harmonic motion according to the eqd.kv;ba;jrqtpp yj35 8 ep 55vuation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring with a5q4znw1gx (f na7 cjloh :-m3b force 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 springgx 3:4(n ob1ln7cfajh-zq w5 m 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. (nq.iga s :)s0 u2)hm b 3rfhl1wbu.;ubjn -cw)a) What are its frequency and period on Earh) wnul3uua. fbnbsbc:w.s1 2h) rqm) 0j-gi;th?

  A 3.00-kg pendulum is 28.84 m x;)gjz iv:dj::*qu7sz;/x c a+bbtbeu n+fu4 long. What is its period on Earth?

  A pendulum has a perio)n yr,s9azq w:mj w )r,tij5; .whc4jxd of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0h /q; bkj9g7x3l3vd* x dcbw6i m long. What is its period on the Earthxh k7bwg jq/*;x d9b3ldi3c6v?

  The pendulum of a grandfather clock is 1.0 m long. What is its periold2qquopw :w*9b*)q gi,gs +6bhezw 4d on the Moon where the acceleration due to gravity,w+q9i )p 2odb*6 4gsbgqww :*uleqhz is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spher1spej jmd i 9.:yb1gd13 hwfv(ical mass attached to a massless string. When the mass is displaced slightly from its equilibrium im1(bv:s1ypd 1fgj .3 9h edjwposition 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 a 20-g mass :fn: tenqg:ye*)h 9 v)gtrh.4yqha-b has initial angular displacement of 8.0e. It oscillates with a h.h9aeyqr :gg t:*)ye:4 )fb tv qhnn-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 pb(heb7b61xla(- vszw h rb+9given time. The frequency of the wave is 120 Hz. What is the abh+19bl6(e-h xawpvzsb7(r bmplitude?

  Figure 11-2 is a "snapshot" off 9uc.s*9ou bcmxov8w 0 )tkn4 a wave at a given time. The frequency of the wave is 120 H80 wsbc)c4kom9 ouv x9u.ntf *z. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency ofnf w 80 7jo45ksglnca0 the wave is 120 Hz. What is the wave s0j570ls gfw a4nkon8 cpeed?

  What is the frequency of a wave which has a periodlvw qol9cpqx:/21z 0,-buv,fsx bn2t of 6.00 ms?

  What is the period of a wave with a frequency of 15008) r)dsj.wkbqc6hxl 2ahzv,+ Hz?

  What is the wave speed if c3 i0j+odt(: w51wx)wu im gmda wave has a frequency of 12 Hz and a wavelength of 3.0 mowdw):5ut x m0d1g+(3w icmj i?

  What is the velocity ofzsdu;te kcv.,(w0 2q p a wave that has a wavelength of 3.0 m and a frequency of 12 tqs,e0wvu. pzkcd;(2 Hz?

  What is the frequency of a 2.5 m wave trvispzn (h6a.ln 50d( caveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m ibqd yve3uj7ek7+m:f 51d o0gvs under a tension of 1350 N. What is the wave sm odv+vdqf75 keb uy3:g7 0j1epeed?

  A string of linear density 6.0 g/m isvx4:g6ouh5 yk(,g kiu under a tension of 180 N. What is the veloci 4y(uug6k5kiov:,gx hty of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is trav*a5wow(li n; ueling down a 500 m long wire whose total m;*auw5 l(ino wass 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 propagamv50.pwaufr b fvt19*tion of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following isfu *v15.tm vp0ra9fwb not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one d5o:j99cu.d2/lto lejubp 5q of the following frequenceo:pldtu 52ql /. 9oj59ujbd cies can set the string into resonant vibration?

  A stretched string is observed to have four cr ,di/)g kb.jl3i 8xd4o c+ryequal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five icr,8lg bc+rx.ij4dk) d /o y3equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standing t/ tj4j p5i9uhlransverse wave pattern containing 3 loops. What frequency is needed if the standing l9 uj p5ithj4/wave pattern is to contain 4 loops?

  A string of linear density 1.,sgbb g, c;*aw5 g/m is under a tension of 20 N. What should its length be if i*,bg ca;b wgs,ts fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m and;abfw/k )4bg j length 0.600 m when it isg bw 4ka)jf/;b subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both u5 mv-:n wpogu-pkn 56ends. When the string vibrates at a frequency of 85 Hz, awunmo p u-ng6pk-v5 5: 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.