The time for one cycle of a periodic process is called nluqd, z1.6z ycun3+ithe

  For a periodic process, the number of cycles per unit time is 4dq v*a04oo;sjn9d x 8g)ziau called the

  For vibrational motion,2yj nauw a0q(go5+fp : the maximum displacement from the equilibrium point is calleujan2g y5:0(fp a+ wqod the

  A mass on a spring undergoes SHM. When the ma( /lo t5qg3-r mrf-h7pbk*ikiss is at its maximum displacement to/mirqkf5(-* g 7ri p3blk-hfrom equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass sqbi hd, lbvbr2n53o*u z(e j433upc1i 4ei/upasses through the equilibrium position, its instantaneous veb( jr1u ii4hqo3b5,pb /*ui3du v4nes3ec zl2locity

  A mass on a spring undergoes S v-rl1 qcs4qyq3+b.otHM. When the mass is at maximum displacement from equilibrium, its inst1 q-4t.l+ocqrqv by3s antaneous acceleration

  A mass is attached to a vertical spring and bobs up and down betwe-0 aag 3urnsyy63yf/ wlwxzz i7a )6n9en points A and B. Wherey 7r-xi aw6 fu)63 znla 0sgy9n3a/zyw is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical sprwwnsr fvp(39+x , enj-vrf0 l3ing and bobs up and down between points A an-nsf vfw erp,+3(j0 xv9rnw3ld B. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up azh57usuur;kjby43 uk p o:9v 3nd down between points A and B. Where is the mass located when its potential e:3uurp9ou z kk7 ub4;3vh5syjnergy is a minimum?

  A mass is attached to a( 7xsx/2k:bmj )tpzkz vertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is mkzz)x2/p x(kbt :7js a maximum?

  Doubling only the amplitude of a vibrating mass-and-spri dwh4 638mxgw(zzrpt7ng system produces what effect on the system's mxmt7d zrhp ww8(g346 zechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system rg.(l f vip;o*produces what effect on the system's mechanical energy.fig*v ;lrpo (?

  Doubling only the spring constant of a vibrating mass-andw( (m/bhcunw h7ka-w /-spring system produces what effect on the system's mec (bhw7/w/-m(auk hncwhanical energy?

  A mass oscillates on the end of j,b) zix qym--3y i,ug 8*tgoha spring, both on Earth and on the Moon. Where is the pyy 8q) bu,h-z gii*om,-3xtjgeriod the greatest?

  Increasing the spring constant k of a mass-and-spring systw3rii h4 qvg)wnsq57 /j *yim2em causes what kind of change in the resonant frequency of the system? (Assume no change in the system'i5qgnyr723 hswqmj4i/iw*v ) s mass m.)

  Increasing the mass M of a mass-and-spring system cd(wsc6)xl.r t0c ,brn auses what kind of change in the resonant frequency of the system? (Assume no change in l dxnct.,rr(c6 bs)w0the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system caujf-trr t d.udtl 93a28ses what kind of change in83t.r-d lur2fd9t ja t the resonant 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 of a mass M attached to hzpr viah0)5t3f(s6 la weightless string of length L. For this system, when undergoing small oscillattpf3)irh05 (hvszl6 a ions

  When the mass of a simple pendulum is triplew4 *cblagfp hom-n, 6,d:zu8ud, the time required for one complete vibratiobp4,6w c * ln -:,odfahug8zmun

  Both pendulum A and B are 3.0 m kzg,vo7g5yj zf2p v*( long. The period of A is T. Pendulum A is twice asz ,pov(g2y*zf kv5 g7j heavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete51smigu i 1.ge j/bxr4 vibration increase14 1b .g5rimgi/esxj us by a factor of

  What happens to a simple penduluy ,- cj1,zmyekm's frequency if both its length and mass are incrmcjkye1,z,- y eased?

  Simple pendulum A swings back and forth at twice the frequ;;sq 8/ ratxabency of simple pendulum B. ;a ;rb/s8qx atWhich statement is correct?

  If you take a given pendulum to the Moon, wwhj2kk2 y l*/rhere the acceleration of gravity is less than on Earth, the resonant frequency of the penj 2/*kl2h wkyrdulum will

  Curve A in Fig. 11-1 represenrqq;u- ; 5ljewwx.0e xcr.u h4ts

  Curve B in Fig. 11-1 g:u d*dl +ugl7represents

  Curve C in Fig. 11-1 represenfptng83 o f+.bts

  For a forced vibration, the amplitude of vibration is found to depend on they(c6:jn , skqnhk lmzr;x7 3m(

  In a wave, the maximum displacement of points of the wave from equilibrium ilm2 7rcax 3eg0s called the wave0egc2r3xl 7ma's

  The distance between successive crests on a wave i;jg-by xsatfsx d8ly+5,m,-8 xpyu0hv t h*e:s called the wave's

  The number of crests of a wave passing a point per unit time is called t-2f5r5y v(fny,*ykau s l8ydwhe wave'ylyu,5rf(2 8f* da5-vw ks yyns

  For a wave, the frequency timesfr4aj x79d0xky8q. v j the wavelength is the wave's

  The frequency of a wave increases. What zws3y*nr1in9m :sr 6rhappens to the distance between successive crests if the speed remains rz 3:nmysr691w*rsni constant?

  A wave moves on a string wi4o8,+o2hq z f5 i3ooxyds iq+eth wavelength l and frequency f. A second wave on the same string has wavelength 2l and travelseifooxzoo4q 2id8h +q 5s3y+ , with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. e6.w d(m/qtny- q 7+hver db2uA standy/vwdn e q7mr +q2(tde hb6-.uing wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave nv** w31arnzm( jgc1wb6nhc84sn3kd u1 ab4 nin the string is v. What will be the speed o 3(1 bcknn han3bu41*nm*g81vzacdwnw4rjs6f 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 in the s 3 6pq pqw-7kjxv )kym6.h.ghotring is v. What will be the speed of a wave in the string if the length.o6 h.pkqh6j3 v-m)kyw7q gxp is increased to 2L, with no change in mass?

  A string of mass m and length Ll,a ett g i.3cp+tdttv1/rk +3 is under tension T. The speed of a wave in the sttg3ti3l,v tra ++1/k d .cttpering is v. What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a ap/se8zh ecnp3q uh1f-e3e7/transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the parti1p p -3h/7znesu3hee fe8a q/ccles is

  In seismology, the P wavd awq/8,disz 9s/ oo+je is a longitudinal wave. As a P wave travels through the Earth, the relative motion betws/d9 8q+zjo iw,d/saoeen the P wave and the particles is

  The intensity of a wave r8t*4aqea sm6ccb2z9y k.c f( is

  A wave pulse traveling to the right along a thin cord reaches a discontinuityv:y/hlwr:wb- 6 bhyp8 where the rope becomes thicker and heavier. What is the or8:hrl- 6v/wwyb: p byhientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive ampli.li. l3z)sqnm,vler (9a8ac*j b8a x wtudes pass each other on a string, one is traveling toward the right and the otl (e,v*8br lsal xa3w.qmij z98.nac)her 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..4py*nsa1e (twzvmt 8 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 point that they occupy the same region of space ptw e * (zm84yn1s.vatat the same time

  Resonance in a system, such as a string fixed cnj*nvlz fc 23b*x7p.v, 8k ixtr13hiat both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency of t2 4 oeuexwizwp m-235hhat string will increase by a factor of xiu2m43 pz5w -eow2eh

  What is the spring constant of a spring that stretchz+ty2w5 lo3 n 3-wcbmtes 2.00 cm when a mass of 0.600 kg is suspended from it?ml ywn b t3z3otw+-52c

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fri/uj7 h+ y 4qnor 0ls,kvhhl+5 -j3srrjctionless 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 equil374sujh k5 vh/ 0+yln lrh+ rroqsjj,-ibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring s:,ejh0 / ambs1 in;.he g7zvfconstant 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 take/i;1: ,msjh0hn sz.bevge f a7s the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant wcq1 /*n kcdmq2m8uf )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 tcmk8 u qmfc*2qn1w/ d)o 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 c yddqb.4)b lj82:v4 abvjg-zbomplete oscillations in 5.0 s. What is the pelbvv: qay48-.zbg)4 j bd b2jdriod?

  A mass vibrates back and forth from the free end of an ideal s:cnrmk :i - jy241ddwspring 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 from its eqmci4y wjsn:r1d2d :-kuilibrium position?

  A 0.50-kg mass is attached to a spring of spring conruvnhyoz f of2)7p),h2 61 uglstant 20 N/m along a horizontal, frictionless surface. The object oscilla,16 ) gu l rz)o2vunyfphfo2h7tes 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. The energy iiy4qcm4hm1q, +5m(b(d ynyw fs 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. Whab1 wq(myy+ynmhfc q, d(45i4 mt is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizobrza4// 6yf k a;u komzfhk)c1k4yb74ntal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. W 7zkcfh1a 4bk/or)y4ky ;ku/6m4az bfhat is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constandazud,o d9l 4ke ,2q(wt 20 N/m along a horizontal, frictionless surface. The,q2d(,dzlko4e 9da uw 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 the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring (vp,5 ,p nfggb0 npqvz+7ew(l constant 50 N/m and set i+z 0(nfpvl ,(5wg7gpvn ,ebpqnto simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end2o syc9l8pz kt(h4pp95t4atr+,h lvu 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 th pruvo,9t sl+h28plz (t4yahkct p459e total mechanical energy of this system?

  A mass vibrates back and forth from fg )4k. kb4sasthe free end of 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 vibratsfask4)b.kg 4ing mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium m*j .mt +(gsh*osub)s ,gl+ 56zntwotposition and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass t*6zb+t, +*)ojs.g5s(ou m g h ntswlmhad 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 object i .jn2mc8o i;;;xj cnlcs do;mc;2jnc;x 8 .linj cisplaced 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 sp*;9h rlrwwl t:z2r/e re 9o 6/msdha7cring constant 10 N/m. The object is dispw:rh esz26 o7e9lwrctra; mdh9/l/* rlaced 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 spri5b9 3 bojbdi :mz1dkw.ng constant 18 N/m, displaced slightly from its equilibrium position, and released. Wzok:.b39i bd51bmd jw hat is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz e h5kqvf;vv +3when displaced a distance of 2.0 cm from equilibrium and releas qhk+5vfe ;3vved. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different s* ;9tr o6hbhv/uey)ny-qa qrg2i1sp5prings. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibraerqsh/5v1ur oag-) hn6 ti yb*; 2qy9ptes 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 stretches tqd v mx:8ah*v-he spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and re-:adhvm q8 xv*leased from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a qp a gp-)h ln69nh2r(*; lfxakspring. 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 releasedraha9n*nk (l2p 6f h;x )pql-g from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equiaf7dv2s4 eqi.tu .( rylibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down a( qr. ay74v2ie.usdtf nd released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the folzc; alo 3;-jwi:f2qgcuz+n .llowing position versus time equat;lic-;wj:nz cl.z2+g a f3uoq ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time eqo;;p.rm h2 sb imtcn2am2.k)puationp k tcbm.amsim )hrnop 22.;2;:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus *cfjx u,b91onhf t)b)time equation: uj1t,f)9fob*h )c nbx
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic m.b+7 5rwkm mvtotion according to mv 5k r+wb7mt.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 force constant of 20.0 N/m p((fyfs+dp,;e y3d bw(ycga(oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0(fs ydwecf 3( yd,+(p apg(;by 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 frequ86w,q ki 9pkcckz igg knq:5**ency and per 6ki c qzkk,ic:gk8 g*w*59npqiod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its bj 86m z;j5cpiperiod on Earth?

  A pendulum has a period ofw8p4-f3y tnq3u( (snkne(j1w :mnhk 3k 1zl dq 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m3kvecr 1g0 kk7 long. What is its period on the Ea71k k 3ve0ckgrrth?

  The pendulum of a grandfather clock is 1.0 m long. What is its period otxwt)+mnac 6kt6 ca*+n the Moon where the acceleration due t +a6+mwt6ac*xnt kt c)o gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massluta/, h83ooiress string. 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 wouldot,3 rouih/8a have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consistim)kv /./vpf nrng of a 20-g mass has initial angular displacement of vpn.f k//r mv) 8.0e. It oscillates 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 fr zmq8ynpw.rx3 /o7vu +equency of the wave is 120 Hz. rpn.+u/78zyw 3v xo mqWhat is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The fr1;jsw ,rql4ix equency of the wave is 120 Hz. What is the wavelength ,1s;xqr4 iwjl?

  Figure 11-2 is a "snapshot" of a wave at a given u6 idh5a( ws- r2oj8kytime. The frequency of the wave is 120 Hz. What is thew d8u(-i ah6k 5ys2roj wave speed?

  What is the frequency of a wave which w8eph1ia xo)5 has a period of 6.00 ms?

  What is the period of dwb*-nw /4b zna wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequens:0 il .2fpb )zwcpqn3cy of 12 Hz and a wavelength of 3.0 mpf.:isn2 z)b0c qp3lw ?

  What is the velocity of a wave that z2 5x+ fgk3y:lagkfh7 ou :rg6has a wavelength of 3.0 m and a frequency of +x g7gf2g6of35z:rau :klh y k12 Hz?

  What is the frequency 5x50 mtxn+2+h8mbm)(ayr.o ljqr a7, ho byvmof a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a ten aok1.r:l w gqlt1c ;9kt-ub(rsion of 1350 N. What is the wave spe kb9oktl: rw;l1tc q( .g-1aured?

  A string of linear density 6.0 g/m is under a tension of 180 N. W0j0 ; m ocqltu0j7)rdcdu5,c b hc+ut)hat is the velocity of propagation of transverse waves along tur bcq u ,+) dj500uoj7;)ch cdtlm0cthe string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire;9h0hbh5uxasc ulh4,0qy fqk f)0tn i+va; 2h whose total massi0u05x0hvfb2a k;4h,hucqh y qn+ ta;l) f9hs 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 transvem6z37ca vta t8rse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequ7aa3zt86 tv cmency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which 2i nxl(- yfzh:zt5ny*one of the following frequencies can set the string into resonal zxzyi:2 n(ftn-*5hy nt vibration?

  A stretched string is observed to have four equal segments in a standing w 7w3ud+3w mwuwhtc5nag / 0qg)jt8z*jave driven at a frequencyt0qw+*) m3n huw /utjw85dwg3j7za cg 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 12 Hz with a standing r7q9z *qmop,qtransverse wave pattern containing 3 loops. What frequency,qrmz 9o*pqq7 is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5(: y+bxr, jdr j,lfi6p,k:az /fj.yq3m eb6ru g/m is under a tension of 20 N. What should its length be if b jbuqyep(j: kd,m r63j,: fx/aliry.z ,+ f6rits fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of li n:5h9bhqu t-c6k:8mlgdtl)gnear mass density 2.00 g/m and length 0.600 m when it is subjected to q6lgk5b m-h:8ldtt hg:)u9 cntension of 50.0 N.

A string of length 2.5 m is fixed atqdr5/qd a)qoixl qa/.t i3jor,8p-y) both ends. When the string vibrates at a frequency of 85 qa,o/joqli8yx )r3qq5d-i . d )/aprt 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.