The time for one cycle of aocr,8+n/th2 ty-oara periodic process is called the

  For a periodic process, the number of cyclesw4b8)r1jav )spb,yp b per unit time is called the

  For vibrational motion, the maximum displacementv (s tdd7jbc9/e6c,s dw tc*+u from the equilibrium point is called th*dwssd7,b6t/v +e tcdu cjc9(e

  A mass on a spring underg 9 d 9f * 557ttnaz,/(la8bmim avaiap/v*qijjoes SHM. When the mass is at its maximum displacement from8itl*bjdmtfa/a ai , v/ an zp*7mqj59v5 9ia( equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equili5cgq8 l *x7m /i9ufmcnbrium position, its instantaneous velocitymi7* xu m8qcn5 gf9c/l

  A mass on a spring undergoes SHM. When the mass;rjh+ju d9 e-dn;+:a3s q zcul is at maximum displacement from equilibrium, itranu;s +h+j9u ;e:-dqzl 3c djs instantaneous acceleration

  A mass is attached to a vertical spring 8 j/ne) lcbf g5 ifuk0(12.hszbcy3 pcand bobs up and down between points A and B. Where is the mass located when its kinetic energy is a minimcfnjsz 8hgup)0 be3bc(/1. ycf lk52ium?

  A mass is attached to a veru (fy xr;)be;rtical spring and bobs up and down between points A ane rb xr;u(;)fyd B. Where 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 points A xr idjdiq ,z)csl3 v+/8-ly z:7pluwf)3i l)cand B. Where is the mass located when its potential energy ir)lisl,ix /8d)jv)33 q7d+- zup:cfzcli ywls a minimum?

  A mass is attached to ,f7o(pbzy;u o a vertical spring and bobs up and down between points A and B. Where is the mass located wh,u(7 f bopzo;yen its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces what m h 72i,(khi 6az4khole*n5w peffect on the syseia 6mw5pk7 kilhno4z (2*h,htem's mechanical energy?

  Doubling only the mass of a vibraqcz 68kig 4877j3scxbi 5ytiating mass-and-spring system produces what effect on the system's mechanic38 yti7cqi gs6a 7jxbkc854izal energy?

  Doubling only the spring constant of a vibrating mass-and-;t0jvnzds+ u)(9fo d7 kum ;ma0alz0espring system produces what effect on the system's mechanicadmmz ka due000 j)v(7;lso+ uan9tf;zl energy?

  A mass oscillates on the end of a spring,thv22. 4 /y ;tbg b+:vjegualv both on Earth and on the Moon. Where is the period t:gvegtb/2+4;b2tjvya l .vu h he greatest?

  Increasing the spring constant k of a mass-and-spring 3tbb j ;e(qh0whq -e6g2x+0fq5 atklksystem causes what kind of change in thekkjqbq 35bh(0 h-2g6tle ;f qex +tw0a resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of czpr8grj* n rjaoo 1)fi6yl7 -+hange in the resonant frequency of the system? (Assume no change in the system's spriy*o6 8pl)f7+ rrngrjaizj 1-ong constant k.)

  Increasing the amplitude of a mass-anv(h*(vt rli3 od-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes in the s3vo thr(vi *(lystem.)

  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 weigho8v87, :l ghut+xcn n0qy9zd ptless string of length L. For this system, when undergoing smallhxt nyl ,op9 +nuz8:gcvd807 q oscillations

  When the mass of a simple pendulum is tripled, tn*j3 0)dmh.my qnbi (uhe time required for one complete)(n d0 jumqnm.3i*hby vibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is48rumxlu t9uzo2x.0 y.ug mvm d4m-p7 twice as heavy as pendulum B. What is the periuryol4.g024umt p muxv79.x m m-8uzdod of B?

  When the length of a simple pendulum is tripled, the time for one compled(o6bq;+ gr gfte vibration increases by a factoor bgq 6f+;(dgr of

  What happens to a simple pendulum's frequency if both its length and mass: f(w,.zd.nfsqw9b9lhs la;a are incfdw.9: . whb ;s a,q9llz(nsafreased?

  Simple pendulum A swings back and forth at twice t5y jynu30kjusyd1 .t + bno-g*he frequency of simple pendulum B. Which statembok.t- y*g 1yjsn+ynd 3ju05uent is correct?

  If you take a given pendulum to the Moon, where the accel+l8 cv/tx.ow q7if*i 8w0 sb u,qggs1geration of gravity is less than x l+o,7g8 s g/cw0 bsqqiv wu*tfig1.8on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 representsszq xs38 -wq*;lldwv 3

  Curve B in Fig. 11-1 :x+2 oy4cy ml9umqw(orepresents

  Curve C in Fig. 11-1 represents 8r9ydhsvje(,

  For a forced vibration, the amplitude of vibration is found to depprd+nsi,9hbbuc url. ,5k* e: end on the

  In a wave, the maximum displacement of points of the wave from equilibrium ,bn:wkn p/t)k is called the wave'k ,tp b/k:n)wns

  The distance between successive crests on a wave is called twrrdf sjlo) / * 58-9haksch)dhe wave's

  The number of crests of a wave passing a point per unit time is call4qikz2pf4 -nu6gs a o..n+hqm(c k o3upu6v p7ed the wave'uphn4f -p 4.+63qov u ukpgins.m2coa(zq7 6ks

  For a wave, the frequency times a*yw k+moa. aud-:at4 the wavelength is the wave's

  The frequency of a wave increases. Whak(am/lrh xkz+xnc ,bqkp m(8t: 9/ v9gt happens to the distance between successive crests +q/ g a h(k,mlnbpxkrctvm9: 8zx(/9kif the speed remains constant?

  A wave moves on a string with wavelength l and fref0qb22.:frot k zk:b6w ,krnlquency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the freq0 k,zk2 f6qbr:2obwft.kl:nr uency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. A stage j5*ysb3 j*wnding wave is s*esgjjw 3b *y5et up. Which of the following is true?

  A string of mass m and length L is undef 6:y7hcn*yzy4n7 sf ur tension T. The speed of a wave in the string is v. What will be thesn zu7ffcy 4:*hyy7 6n 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 tension T. The speed of a wave qe dngw+:v.e u)vc9l- in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with no +q)9g-ed:cne wvl .uvchange in mass?

  A string of mass m and length L is under tension T. The spv6bx;:ekec 1 x3 bxjf/eed of a wave in the string is v. What will be the spee:ck3vb6jexbx/fe1 ; x d of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse /sz*dydcf 0 3wwave. As an S wave travels through the Earth, the relative w/dfy* 0dz3sc motion between the S wave and the particles is

  In seismology, the P wave is a lvg5id fw*d3* oongitudinal wave. As a P wave travels through the Earth, the relative motion bet vdigwod** 5f3ween the P wave and the particles is

  The intensity of a wausc2*v1g q80d*6w6f nja ibfnve is

  A wave pulse traveling to the right along a thin cord reachesjbfj;r w 5q//*jr xz1l a discontinuity where the rope becomes thicker and heavier. What is the orientation j ;r5rxq1/*/bf lz jwjof the reflected and transmitted pulses?

  Two wave pulses with equal positive am3tp,:d1 pk-le0likum plitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space at thelkd3 i:1ekml-pp, ut0 same time

  Two wave pulses pass each other on a string. The one travelinqcd,u(n6o v)*pnyv 3ig 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 spaceduy, nqp v3 6n*ovci)( at the same time

  Resonance in a system, such as a string fixed u trk6 -r56pkp*jp)dzat both ends, occurs when

  If one doubles the tensio.neut 0+l( ln p65hi)p)b +wzt sj+qq:hdprk-n in a violin string, the fundamental frequency of that strin5 pz+lkrb)6s-te w)hu 0(qp+ nj: pnlh.tdi+ qg will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass ofv45wv9jbcx7vjf u8 q5nlb v(6 0.600 kg is suspe5qncfj54v6vb w (j9bu7v8x lvnded from it?

  A mass is attached to a spring of spring constant 60 N/m alongy 5* ;wdwpp tqsz4hrl1,9(rmd 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 whw5( d1zlrm*q sr,p9 pd4hwt;yen it is oscillating. What is the amplitude?

  A mass is attached to a spring qv l)o,a.mf1k1s: kb fof 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 .kflabv1:1 sq,m k fo)when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m btc:h 76f rog*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 f *r6b:otcgh 7position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergo5vh)p 4p pec7 xqipxk9v3 0+fnes SHM. It goes through 10 complete oscillations in 5.0 s. What is the periodp0p4i cx 7)nfq5 hv9kpv ep+3x?

  A mass vibrates back and forth from the fuq4bkj;qzg 8 j cj*h.(ree 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 hu *q8.kcg qj;4j(bjzm from its equilibrium position?

  A 0.50-kg mass is attachevpc-by q 7h.46i d/wvwd 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. What is the tota6c 7dh w.ip qw4yv-bv/l energy of the system?

  A mass undergoes SHM with amplitude ofn wefchtg8 (gr*n xd(a9+-r-g 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 wgf9e(n ( h+gnxw dr-rgc *at8-ith amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m .1 yom8 q +68bd(upgxyzquy(n along a horizont .yy886b1nypoq( qg (uzu mxd+al, 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?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horq jb/atg f5:3dizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. A3dgfa: 5 q/jtbt what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring :xiqerf a21uc;so,obr 9 z8v)2 xc:wfconstant 50 N/m and set into simple harmonic motion wzor:r x 1s f92b ic8,)u:cfwaxqo ;2veith an amplitude 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 horyqcw,r-* y3ri2)px2ya9cbbh izontal 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 this syrhq2r, y- bpb*39iyawcyx c2)stem?

  A mass vibrates back and forth from the free end 8 pk/kacik1 4dof an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating a1/p4ki8kkcd mass?

  The mass of a mass-and-spring system is dw+:+muk9w4dbh h0r,qra ;7nqg opc(gisplaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What fwn;0q:k,d7c w9o+rh+r pm auh gb4 (qgrequency 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 s1a1l h-t f2oeaay9m3*s/yks z pring constant 10 N/m. The object iss391hy2mt aoafl*- 1eazy s/ k displaced 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 objec+b2fdx pe )t1tt i be1f)+2pttxd s 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 spring constant 18 N/m, dis-evw13y zh x3x,tn4 kiplaced slightly from its equilibrium position, and released. What is thiy3wnz hv 14ek3t x-,xe frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hzc(74k dl02sggqkin:) 7ogo f r when displaced a7s (nl2gg cg4io doqfk0):k7 r distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. M ev)axwrz y*irm k:,91ass 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 1ae y zi 1vr*,9wxmr)k:6 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 mas38v1t:1// j db6netuv g tlfmsen/+rss stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculateb v6sjd 1getm3 vn:8l1+s/f/ tnture/ the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches t,u( ./cz ieg rakb)ws,he spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and rele(bws erg,k a)ui./, czased from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equidv6z yoki*f7avu5tpk k (29d6 librium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released frozafdy9 ktd* ov5i6u26kp7vk (m rest. Write down its equation of motion.

  An object in simple harmonic motion obefzej2- u6d6a pys the following position versus time equat-dajfp 6uz6 e2ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position ve2nkdb*xu+nk x7x/k1q1 oi;k irsus time equatndxu+kiixx7 k/1ko q*; 1knb2ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position v vw,5ft +mur-uersus time equ urfm-u5v+t,w ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a9p:xgy 7idp z+ spring executes simple harmonic motion according to the equationy:x7 z dp9pig+ $y = 0.50 \; \sin (18\pi \times t)$ 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 constag9ipt 1+v4 nlnceo30c2/eyl znt 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 is2vygpe tccn1 liz94n/e+l03o , 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 f93o4bcp0 mbo;yx z:knrequency and perx; ob zbpy3:kc0 n9o4miod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its 5o nj t57 r+ agj(jztatv:uv;-period on Earth?

  A pendulum has a period of 283 uvz9vsn m;g.0 s on Earth. What is its length?

  The pendulum of a grandfathedbu49 v uo2rd:r clock is 1.0 m long. What is its period on the Ear drou 2b9:u4vdth?

  The pendulum of a grandfather clock is 1.0 m long. What is its perip)om2z phus+;(p4 dy cod on the Moon w2 sh4(cppo)y+zm ; updhere the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless s0j ; vxbi3qd3ctring. 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 0.50-kg mass (same diameter sicjv ;dx33qb0 phere) had been attached to the string instead?

A simple pendulum consism6hiel6r ( el7vm+i)sting of a 20-g mass has initial angular displacement of 8.0e. It + l 6veire()ismmh6l 7oscillates 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-p 6 l6ccxft/t ge,9bc2+lqrq a given time. The frequency of the wave ilrx62fec+ -9,6 gc t/q cqtlpbs 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of .n az5pgr**4go:n 4*ljphl f u9nm6ila wave at a given time. The frequency of the wave is 120 Hz.nn* mu *p4gf anr z:496j5.l oip*glhl What is the wavelength?

  Figure 11-2 is a "snapshot" of a waveh/ufpj c,h.(m at a given time. The frequency of the wave is 120 Hz. What isp cu/., j(fhmh the wave speed?

  What is the frequency of a wave which hasj n*zuiu 7m*n3z+5a rt a period of 6.00 ms?

  What is the period of a wave with a frequency u9)lqk5nu4 1mc. dvvg of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelepfvv ej7n+ 2( :;,ppxnas.qzsngth of 3.0;sn+pn. s f:7 vqev2,zp(axpj m?

  What is the velocity of a wave that has a wavelength of 3.0 knjy5 a9z3q y9cw4 f(um and a frequency of yc9jz3(n45u 9fqa wy k12 Hz?

  What is the frequency of a 2.5 m wave travelindluk t(4gcbf6eouyx+ /:gp 44 g at 1400 m/s?

  A piano string of linuy6f4a bwdw0utwn5 4;ut6a f8ear mass density 0.0050 kg/m is under a tension of 1350 N. What6 6n u8tw 04wf aydbu45tu;waf is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What bu;5d n ggbatr.vusb b71/ y26is the velocity of propagation of transverse waves alon257bs vbb 6bngagr1.dy;tu/u g the string?

A wave whose waveleng1iai 1ao7f r5x60ohkairel: . th is 0.500 m is traveling down a 500 m long wire whose total mass h 6r7eioi1faarlox0k51 .:iais
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 oq+ pa3jx*bzh -i32iaz n a 2.0-m long string fixed at both ends is 200 m/s. -*iq pizaab 2xj3 3+hz 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 ,mex8q;d/7 uz v yyq3hone of the following frequencies can set the string ihv,qy; 3zxe87myu/qdnto resonant vibration?

  A stretched string is observed to have four equal segments in a standing wave drvx o83.g tpq63a4dkiyiven at a frequency of 480 Hz. What driving fre.8vxdg6ita3 3k 4ypqoquency will set up a standing wave with five equal segments?

  A string, fixed at both end36ugncuv(homkt*2c5w) s qk h -cq6(cs, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is need3gm okkc vtn2q6*csq( wc)chuuh6 -(5ed 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 shvfj n-0u8 gee2e 17firl(u5dq ould its length be if il0j8efni2 (e uvf 1de5q7u g-rts fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2p3a/9tn irscfrt-g dq ,5;4eu.00 g/m and length 0.der4/fng ,5 ait;t s u3prq-9c600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at bh.5c: /hviugf oth ends. When the string vibrates at a frequency of 85 Hz, a standing wave w . cf/hhgi5u:vith 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.