The time for one cycle of a periodic process is calle 0n;v16)lgvzjpauym 6 d the

  For a periodic process, the number of cycles per unit time is called c9jwtt4l 2 wz+the

  For vibrational motion, the maximum displacement from thz5 ew l yjhu-l51:rt1g +oq/5jwa7zg re equilibrium point is cz:y-+j5/ grr q 1lgj tww oehza557l1ualled the

  A mass on a spring undergoes SHM. When th* 1hqq(lvf v 9;4chvx :hjwhcw2l56vse mass is at its maximum displacement ffcv *;6hc 4x5v(h:9qh v2s w hj1lvwqlrom equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. We k/*ngwvs ;4a/j3z6ia4sw gihen the mass passes through the equilibrium position, its / ng4z63iaike wa;v /*gjw4s sinstantaneous velocity

  A mass on a spring undergoesv).cq unlz(q 6ls17 x80hqdj 4ham/mk SHM. When the mass is at maximum displacement from equilibrium, its instantaneou/10 q6hn.qq )jvhx4ska cuzl7(8 d mlms acceleration

  A mass is attached to cqtfub,47 l7 ea vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy isc7ul, tb 47feq a minimum?

  A mass is attached to a vertical spring and bobs up and down betweenyh 1q-rv-6vemxd0ynqk :;q y eo*q*u9 points A and B. Where is the mass located when its kinetic energy is a maximumekn q*x*qye:r-y6 1q vuo;0 vq-h9dmy?

  A mass is attached to a vertical spring and bobs up and down between points A anf/v1yhz6gp l3ojta / +d B. Where is the mass located when its potential energy is l/hg jya6 o13+v pztf/a minimum?

  A mass is attached to a vertical spring and bobs up and down between iw; a 741ro.6td*d jibfdbeqd:: 0thopoints A and B. Where is the mass located when its potential energy is a maxidbd: 1d :i0wj *e;h.b4or7idofat 6tqmum?

  Doubling only the amplitude of a vibrating mass-and-spring sys6hp.bah a4f z;tem produces what effect on the az h fh6ab;.4psystem's mechanical energy?

  Doubling only the mass of a vibratingr7b d9nzsf/-rfm 5n04 xkzi z9 mass-and-spring system produces what effect on th50/r4znrnx-9f zkb md i9 7fsze system's mechanical energy?

  Doubling only the spring constant of a vq; w jlmlvi;;x4d,so218 gzfo ibrating mass-and-spring system produces what effect on the system's ml812;z4liomxwvgqo,; sjd; f echanical energy?

  A mass oscillates on the end of a spring, both on xv(s:yte*cr2/e3r, vg )gacxpv t- f-Earth and on the Moon. Where is the period the greate,x/rtege*)xv fa2r-g3cy s tc(v - p:vst?

  Increasing the spring constant k of a mass-and-spring system causes whac2b2qgoj 5h(3- lljkm3suh b*1 wg r2xt kind of change in the resonant frequency of the system? (Assume no ccqh1gujk5*sx w-l3 (2johgb rl 23bm2hange in the system's mass m.)

  Increasing the mass M of a mass-and-at i3290uncocspring system causes what kind of change in the resonant ucotni2c 3a90frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a 29m5)w bzvc, +nni+1hlhmt cwmass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no nnwl1vm c2c+) i,zhhbwt9+5 m 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 coh78ucvt74 r 2il8dded nsists of a mass M attached to a weightless string of length L. For this sysdv e udt7r8ichdl2748 tem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time requiruaffj8i(ie+9g a q/hk9. sh u-x)w;lred for one completfsuixh )i f9 khjalr e;/g.wu+-q( 89ae vibration

  Both pendulum A and B are 3.0 m long. The period of A i jn;cio 3:v/fgxb d3u6s T. Pendulum A is twice gvc b;uo3xn/6ji d 3f:as heavy as pendulum B. What is the period of B?

  When the length of a simpl*xahx- r quxl *i t:84u4bxdw*e pendulum is tripled, the time for one complete vibration increases l x:x *48*x x*uah-uqditrw b4by a factor of

  What happens to a simple pendulum's g.zx--z-k cghkys w6gj j4n;( frequency if both its length and mass are in-j;h4y zgzkw- .-(gnj6g ksxccreased?

  Simple pendulum A swings back and forth rdqp7.6q(hdz-w 0t uj+u wfn 3at twice the frequency of simple pendulum B. Which statement is correctnu- .f twq6d+037duzhprq( wj?

  If you take a given pendulum te25n,w vv de7co the Moon, where the acceleration of gravity is less than on Earth,ed2nvv,57w c e the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 9 a)eu thr(h9vrepresents

  Curve B in Fig. 11-1 reprek4*tf9nod qw(sents

  Curve C in Fig. 11-1 represe5 )smhvrwyr;jw5 wswzm2n0)b f*e ;c;nts

  For a forced vibration, the amplitude of vibration is founrdy 4 6h5wyjjaj ;wg*d;*a3cl d to depend on the

  In a wave, the maximum displacement of points of the wave from equ ,vfet8 7(mhpri4e, dpxca0b 9ilibrium is ca7mpibp0d,e a( 9ct ,v 8x4rheflled the wave's

  The distance between successive crests on a-u sp.7vei vq, wave is called the wave's

  The number of crests of a wave passing a point per unit time iseac/ uh61;heefl 9k5i called the wave's a156hce h/lkfeiu; e9

  For a wave, the frequency times the waveu lh/./gowqx bli-f29length is the wave's

  The frequency of a wave increases. What happens to the distazeb ekbl-jgr15g 61;iav 0t.rnce between successive crests if the speed remains e 1b 0ar.giger -t6b;vl1k5 jzconstant?

  A wave moves on a strin joy0-67x*xef k+,f 2gyzxe: l.hpqrsg with wavelength l and frequency f. A second wave on the same string has wavelength 2l andxjx zhk2gf0x6 p-yq f*e7.l,o res :+y travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wk1h6lx7y5 tvead2,wth0se )a ave on a string of length L, mass M, and tension T. A standing wave is set up. Which of the following is true1ye eha,50tw) s dhxk27v tla6?

  A string of mass m and length L is under tension T. The speedxecw7 /bestfh+ i cs+q*d:.:z of a wave in the string is v. What will be the speed of a wave in the string if the mass of the string is increased to 2m, witbh+ tce7fi sd/xq:.:cz+s w e*h no change in length?

  A string of mass m and length L is under tension T. The sm 6inrxvsjn 0*c +;vo/(iwv8 kpeed of a wave in the string is v. Wxs ;+*mv0 rivi vk w6(/nocn8jhat 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 of a wave in wcx)pf i7im3 lf*mui09a(ju3 the string is v. What will be the speed of j)miam*wui7(p3 9lf 30xfui c a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. *.l,*wah ,,kdl9dfoh d7;wl p2p mtchAs an S wave travels through the Earth, the relative motion between the S wave and the pl *dkct *2.,7hh9pw dplawd ;m,ofh,larticles is

  In seismology, the P wave is a longitudinal wa+/oseirs 1 +* cjx5kdva)rw5fk p8ml+ve. As a P wave travels through the Earth, the relative motion between the P wave and thlf+w/oapej5 5c *1 isv+d8kmsx+k)rre particles is

  The intensity of a wave iss q)m-yi dz+i;

  A wave pulse traveling to the right along a thin cord reaches a dps88sma 7s q+ 8dc oea/)j7ybqiscontinuity where the rope becomes thicker and heavier. What isya88 )s c pqaeq s7/js7b8do+m the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, ondvcgz qjj6 6ieo:2 e95e is traveling toward the right and the other toward the left. At the point that they oczoj 6ideq 9eg2v5cj: 6cupy the same region of space at the same time

  Two wave pulses pass each other on a string. Txd :otowls/d71qtw,vda;)g * he 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 spacet:q ;d v d*) x/la7owt,gw1ods at the same time

  Resonance in a system, su9kp(*wi 9ejdoch as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the q5 , r6asr)mtpfundamental frequency of that string will increase by a factor oft r,r6)pa qm5s

  What is the spring con xayn.3kg5 hny- +n:gdstant of a spring that stretches 2.00 cm when a mass of 0.600 h:kngg-5an+3dy.y xn kg is suspended from it?

  A mass is attached to a spring of spring constanf*l )ofmn8az ; cp3/y7q, tkl ln-lg,rt 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mfm8t /- k3y, alcglpq)fonr,lnz; 7*l ass and 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 sprinz 0q n;m4tqhywyj 8 )n9fw:3uug of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initij f;y4:u)y q3wq8t9n0zhmnu wally 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 period of oscillation?

  A mass is attached to -9s/qu .:wob awl1 okya spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force y1lqaw:obk9u . so/w- 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 SHM. It goes through 10 complete oscillations in vkv2nj db*9y ,i/:bxw 5.0 s. What is the peib d/x,w2yj:k*vb vn9riod?

  A mass vibrates back and forth from the free end of an ideal spring of stk2yrzd +b (24bu2gx8qdha *+i v ge-hpring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of thv*gbi dthe(+u4q d2z-2g2rhak+ybx 8is vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attachedi88.v aac-+f6 lkzemacd*y* frmif :7 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 total energy8* fc78y+m -dvfalar 6*.eza:c ifkmi of the system?

  A mass undergoes SHM with am5) ntdq1dj yy+plitude 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 withd+1dq y )jtn5y amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spri rf)8 1,54n jqyga04cyokctwjng 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 amplitude of vibrationgr1tkycofw8y4 5 4nj0 aq,cj )?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizon 8hgy3)tvjqmg dek1/cq l/7+ktal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the8jtk/)mh g l7kc+ 3dey1/q qgv 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 ;yit. iq ou4p+8fq edaavqk f).x0k.:of spring constant 50 N/m and set into simple harmonic motion with an ami: kx.f pqtui.q.o+8;k0aa4vyd qe )fplitude 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 spring of spring9y*6oi9o qpjiql3:j x:pqj/ m 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 si9p mjio qj6* qx :q:p39l/jyoystem?

  A mass vibrates back and forth 37heeb8lz b 8fkhwb kte)*r 77from the 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 thi8*kb3w el7k ftb77h8er hzbe)s vibrating mass?

  The mass of a mass-and-spring system i,siyn1/1nnohzcmvx aufet 88/(c2h n +x81ois displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced 2(x,z ahoes y8 cinh1m8cu/x n no+vt11nf i/8only 5.0 cm and then released?

  A 4.0-kg object is attached to a sprinz.otuz alec; qsz o,1el9,r pyd8*y3 4g of spring constant 10 N/m. The object is displaced 1p* lqo ,a4trzc 9oze;yeud, yl 3.z8sby
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. Th+v(v b7pekcx 7e object isvx+77(e vbkpc 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 tht,ku4md z 8 1w1i88rsx kj6y. h2eymof spring constant 18 N/m, displaced slightly from itsyk8m8ukdw6h 4h s1 .mtxzrj1ei8y ,2t equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.2uj)q8.k,ngfy 7 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum ve8 .ygnq),ufkj locity attained by the mass?

  Two masses, A and B, are attached to different springs. Mzmj+85om*q 7bl z :wgsiw6iv0 ass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitubijgm+ wo6mzv57i ql*8z sw0:de 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 sbo4d64si9zk9cuix1fp yxcey- (s q)(0 k7sy l pring. 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. Calculate the period of ocz16bq )epu -y4y c(i 9y7fkd0x(ss k9so4ilxscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretchec3k:oqgd +.wtcso( +x s the spring 2.0 cm downward. The mass is then pulled an q (t ckcxd.3s:o+w+ goadditional distance 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 equili :x7r727pqequrcf1 s6u,u m yhbrium the mass stretches the spring 2.0 cm downward. The mac 6h1s :q eq2m7yru7,r7uupxfss 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 harmonic motion obeys the following position versusl5dk g8n+4)or3gmkk ic) yl 6z time equat8 5zk+lr4g 3lik6ko)ymc) ndgion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys thed:524)e,zi sfetx ji u following position versus time equation:,e: 4jizt)e 2uxf5ids
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys ao)hpcvb6d q+z5,xbyc* 4 s:ythe following position versus time equati a+zo6 b,vbdp4hcx:q) 5y c*syon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring exxxqo+2 gt,ty4/om ch; ecutes simple harmonic motion according to the qy+2cg;tx,mt/x4o h oequation $y = 0.50 \; \sin (18\pi \times t)$ 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 forceq7yjbv) d (bv, 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 stretched by b(dyvv7q ,bj)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) What6jqzdwy3u:a3,am o*qi abg *6 are its frequency and period onbim 6q*,d aoz gyq3 uja:3*w6a Earth?

  A 3.00-kg pendulum i63nd ft46z1z* fq6nm np xgqv8s 28.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0c6 tnif0pcsqk/:o8k -hr* ,lx s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Eaxl c +ax.xi28zrth?8.2i c al+xzxx

  The pendulum of a grandfr83yknvn +3 g,d4ia0 v-l bxnuather clock is 1.0 m long. What is its period on the Moon wh br0v8nxa,gn+vid3u34n -k yl ere the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical masso ajwg:e) t+v8 attached to a massless string.wg:+8veao)tj 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 sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mashmgjyts5uge/ 559iecmm: y 71 s has initial angular displacement of 8.0e. It oscillates with a gu5m 5y 95:ymg7 ectij/1mehsperiod 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 givenq7qmq12-t kj5/ szm kn time. The frequency of the wave is 120 Hz. Wha1mmqz tn-5qkj2 7/skqt is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. T5s,udxh zda7 .,. afkkhe frequency of the wave is 120 Hz. What ia sf xdu.kd z57h.a,k,s the wavelength?

  Figure 11-2 is a "snapshot" o:o-iauc6 lau:2 yd t( dm82vjpf a wave at a given time. The frequency of the wave is 120 Hz. What is the wave speedpyuaudc2 :iam2t v6l- 8( :jod?

  What is the frequency of a wavej,sj;df, .ilw which has a period of 6.00 ms?

  What is the period of a wave with a frek;z* ,3 cs ogl2;hpepqquency of 1500 Hz?

  What is the wave speed if a wan4fn6 g)wco3r2b1h fh -yxci;ve has a frequency of 12 Hz and a wavelength of 3.0;6fcn3h)ohbw -124nf xy cgri m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequnw+fqbde ;ig9.vru *9ency of 12 Hzv +9*.9wbdrgiqf n;ue?

  What is the frequency of a 2.5 m wave traveling at 1400 m/snqrv ;gj 2jw;cxu /.d-(h+zpl ?

  A piano string of linear mas 5rcq psvyy94e.a91nhecc/ o61i(woi s density 0.0050 kg/m is under a tension of 1350 N. What sc19 pi9c6oywi c1eqy5 .4ehvro/ a(nis the wave speed?

  A string of linear density 6.0 g/m is under a t4r s5(1l lrv*nerh5 1z1azare ension of 180 N. What is the velocity of propagation of transverse wavel1hrnr e4z5avr(e1r5slz 1a*s along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long w16qd 8g(6kjba ryr u.nire whose total mass isa6dkg8b q( urr.n j61y
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 transverz- su .lnc(7j6ve4hg ose wave on a 2.0-m long string fixed at both vsu.o6j( - zlhg 7ec4nends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequento91o pquu/61;rfq2*xfs m vlcy of 500 Hz, which one of the following frequencies can set the string into ;mt/1lsxf oqvou ur1 fp*92 6qresonant vibration?

  A stretched string is observed to have four equal segments in a standin)75p,aa zsefag wave driven at a freq ,aafes5pa7)zuency 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 *mc- a4+ haheznl5peuc,io85 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to containhau5,h4 *ieomc- zla5enp + c8 4 loops?

  A string of linear density 1.5d r-+j fyz(a8r:up a0z g/m is under a tension of 20 N. What should its lrz: 8ap d f+uz(ra-0jyength be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linea xzl3: g.wfb-ar mass density 2.00 g/m and length 0.600 m when it is f.a 3lb wxgz:-subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at bothqs4id 8m8(p hz ends. When the string vibrates at a frequency of 85 Hz, a standing wave with fi ( mzq8ihs48dpve 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.