The time for one cycle of a periodic prov6 h1 *)jtvq4wxa1*3;t tjy p;y vvmmqz3tmo4cess is called the

  For a periodic process, the number of cycles per unit time is calledp tk/r m-z2kj/ the

  For vibrational motion, the maximum displacement frojn rju dz,2z/jp3,5cb m the equilibrium point is called the/bujc,2rjd np z, z5j3

  A mass on a spring undergoes SHM. When the mass is at its maximum displacemenr yru4 w 6issd12i/9to7c9iwit from s idi2 t wi9 6wuc9iy/rro1s74equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equicmjuv:* dsm1.g ag d:4librium position, itdjg. 4vd s 1gu*cm:ma:s instantaneous velocity

  A mass on a spring unqzf9 nw)ru ;shec7w 2o5o wm1(dergoes SHM. When the mass is at maximum displacement from equilibrium, 9zwc5q12es( uwom;7 ) wfr ohnits instantaneous acceleration

  A mass is attached to a vertical spring and bobs y e/5/n lvhl9)4k+0py 7d-lsw1dh c kh2ncf wkup and down between points A and B. Where is 4lh//ny d)-h1nlvkw2sc pd k5 weky+9lh7fc0the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betweenobg5tt o; 0hvr )6 z:nnl.;ag)i o7yay points A and B. 6 ;7ttzor5oy.igg0alvh): n;o )nbyaWhere is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up anga e*z /asft)9d down between points A and B. Where is the mass located when its p9aazt gefs/*)otential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and do6kjnx;p f b.ds)2 mhgk,f6xg 8wn between points A and B. Where is the mass located when its pote8;k2dpjx.gk 6bg ffnxh m) s,6ntial energy is a maximum?

  Doubling only the amplitude of a vibrating mass-aa2mu dp2b 9q tj/5 1ragwviu+2nd-spring system produces what efqg+/dv1pbt52jau9 wr a 2 ium2fect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produceoem:budt/ 0 u1i0qx ow7d)m d+s what effect on the system's mechanicadm x/m w:iouud 10 )odb07teq+l energy?

  Doubling only the spring constant o ;6z*imtl swm8f a vibrating mass-and-spring system produces what effect on the st6m* l iz8m;swystem's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Wherez fea69(pt( sfatt.h94fkh 1 c is the period thet (afe4tztf h 6 1apckhfs99(. greatest?

  Increasing the spring constant k of cwqp)f7 qz; k3nkoq 5j-h h-wwj3xo4nvf,x 09 a mass-and-spring system causes what kind of change i3xwoh9)4-q0ofvjjwncq kxq 3 hn k5f,w7;p- zn the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spnp z/h6 gkn mkwyw,4 ,z(,nvl,ring system causes what kind of change in thenn4wph,z,n,kyl6,mvk w g( / z resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sid,a(d. yiq 0 kc6-dsdpring system causes what kind of change in the resonant frequency of the systemk(6dcsiid yda,-d q .0? (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 stri6yp u qq.6qh dt/.3necqv +xr2ng of length L. Forx26rvqp t.n36u dq.+ c/qheyq this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the timejogc)*ysz b h9 )u(s ,5wxzca6yw k0h3 required for one complete uch(6hy0k5sx)9)c ogzs, 3z*w awbj y vibration

  Both pendulum A and B are 3.0 m long. The peripfp*me2j rq; c 0y9h0eod of A is T. Pendulum A is twice as heavy as ryqpf;ch0j2m 90p*ee pendulum B. What is the period of B?

  When the length of a oi,57ir;3y) clignf.usv 0+9 mztcnu simple pendulum is tripled, the time for one complete vibration increases bi;furt ,i)nymuvozcl53 i0s+7cn9g.y a factor of

  What happens to a simple pendulum's frequency if both its length and masj(0ny guygf8vm x(;+gs are inc8;uj+mngyg(0(gy f xvreased?

  Simple pendulum A swings back and fo;scfl7ij vy2 :5mcm/orth at twice the frequency of simple pendulum B. Which sc mcfs2li7m j ;y/o5:vtatement is correct?

  If you take a given pendulum to the Moon, where the acceleration of graz+2 qnco)avvy.b 32aqk*/op h5g sz o8vity is less than on Earth, the resonant frequency of the pe8apo)a5c /kzqgzn by2oo3+ h*.qv2vs ndulum will

  Curve A in Fig. 11-1 represents r- ,w)mj)iei ; zg,fx,n4uxba sjy ;-k

  Curve B in Fig. 11-1 represoi:zdy;3rhi-v*cg)as0a w h) ents

  Curve C in Fig. 11-1 t(zm o 8ehu1l.)dzdx9ro j1:zrepresents

  For a forced vibration, the amplitude of vibration is found to depexz 3ew0; gjkn10 kgn+hnd on the

  In a wave, the maximum displacement of points of the wave from equilibrium is +)* gp.zcn7liqr tld 0 lt1lei kx0w9rnl x,37called the wavct, n7r09lel *rlln7gdxw ip+.l3zqx t k)10 ie's

  The distance between successive crests on a wave is calqeeag e8o/xhn6r qj:.j h9 u;)led the wave's

  The number of crests of a wave passing a pfi4tq wa w,)8coint per unit time is called the wave'8,aic w )ftwq4s

  For a wave, the frequency times the wavelength is the o9rlqhk ey0+)ejq-:k wave's

  The frequency of a wave increases. What happei1 4ip/q )keiku zrbgw;v scg-u.3j,4 ns to the distance between successive crests if th -k/j k si1g ,gq)erw pi34i;buz.4cuve speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on thyqx9g)q rkw6 )kq)sf7e same string hxyqf9wqk)ks) 7gr q6 )as wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on ie1/y;ko jz e- a+8 )h2ouuhkia string of length L, mass M, and tension T. A standing wave is set uhza) kyuh +k/ ;oeij-ou218eip. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave bdpnn6nogon )o*48q1 in the string is v. What will be the speed of a wave in the so4pgdnq*n) 6 b1o8onntring 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. 0vzg/ya ln;jzj0ri84The speed of a wave in the string is v. What will be the speed of a wave in the str;r lzg8iaj njy040 /vzing if the length is increased to 2L, with no change in mass?

  A string of mass m and leng;qs v7lhvo6srs46 o.rth 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 tension is increav64oqs;.sr7vo 6sl rhsed to 2T?

  In seismology, the S wavs yv;12 wurjv0e is a transverse wave. As an S wave travels through the Earth, the relative motion between the Sry 12w0vv;us j wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a :,ace (ga 7fa 8xys13 rvd.vokP wave travels through the Earth, the relative motion between the P wave and the particles i:y8v,1s e fcdar.3ak(o7v axgs

  The intensity of a w ee/ydnlrh*r26zch k2x xfe0:58 oqq, ave is

  A wave pulse traveling t71csh:kcdalodo(* a 8 o the right along a thin cord reaches a discontinuity wh8so1hk ( a*ado d:c7lcere the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, ons8os w5i,u6,fz.4ijp p 4zaoke i k8iza6 j ,4popo.4,i5u sfzwss traveling toward 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 0mk s3n/vn tsrd2i 91mother on a string. The one traveling toward the right has a positive amplitude, while t1dsr20 s/ v3ni mmkn9the one traveling toward the left has an equal amplitude in the negative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at bw/om)5,d *mb 7+av-nsgaegsa oth ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency of tha;cktu zkg ,::st string will increase by a factor gk:sk:t cu ;,zof

  What is the spring constxxg9rk zbu)qm-d3/+5u -eq njant of a spring that stretches 2.00 cm when a mass of 0.600 kg is sus5rbmqz3uk nxx /-ugj-q e+)9 dpended from it?

  A mass is attached to a spring of spring cons18xk n(k u6kvxa34c tftant 60 N/m along a horizontal, fri41 kx 63fvt(c kn8kxauctionless 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 the amplitude?

  A mass is attached to aldqo92rla b1x:0xznzov(/ / k spring 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 and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. Whazbkla0 z2oq/l / xonxd:1( v9rt is the period of oscillation?

  A mass is attached to a spring of spring constz bvx8wl h,c,(y9/ gjyant 60 N/m along a horizontal, frictionless surface. The sprbvyl9 / ,(h wzx8c,jyging 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 undergoescaa j)/: ji*3kl2-7xikgdrtstb77 k q SHM. It goes through 10 complete oscillations in 5.0 s. What is the period?kr sx ai-3)7 g:7itj*qj ctkd2k7 la/b

  A mass vibrates back and forth fr eus1oq16t+)-syt a xg9tali 9om 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 ttauo9-y)a61 x+st1egs 9qli0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring wfx6+pqj6 --fepj .wi 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. Wha+wep-fi6xjj w -f6p.qt is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at ti)x25x.k . nrtbet1juhis time. The mass is cut in half, and the system is again set in motion with rn2 )t1e.tjuk i .bx5xamplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached 41iijh0cmo a,to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has aa0ho j cmi1i4, 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 19f g2zfnj ;r 6hdti 7qq*zlw224 bpybhorizontal, 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 kig7yri dfp* ;4z12jqwzn ht 2f9 b2lb6qnetic energy and the potential energy the same?

  A 2.0-kg mass is attached ws::k / s2p t3nebudr0 r9xqmi;u1:oxjgb*8qto the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an2stbe :d jiwg 8qpu;1rn :k:9ubox*3qx0m/sr 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 horizontal spring of spr 55*tgcenqnsl yc)*y :w(ojod++i uv-ing constant 50 N/m and set into simple harmonic motion with an amplitude of is lj+ yo+n *ynt(-cqd v:cuo )*5gw5e0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of spr vhoiq 1b2q ne36m ut5s+i.)dz/.uleling constant 20.0 N/m with an amplitud 3d. +.ut2ulibe1lzn)6 es/5v mihqqoe of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-sgiv,j:8s5 qd , 8q(l1rszpsxvpring system is 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 dis ,sr5 q,:s(8ipdlvs18j gvzqx placed only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/mlera ei y)ao q.8 jf2056rk3xhd9e a7b. The object is displaced byefej57ra yaxq 9hi .l)drk 8e0a6 ob23
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is ag( w7q2u 5xym)ye5 duattached to a spring of spring constant 10 N/m. The object is displaced 5(dgmwux 5ye27 qua)yby
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 sprcr/flgp 7p0bb rs/1 w.ing constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibrw7srbp1p cg l /bf/r0.ation?

  A mass is attached to a spring. It oeg gw-d72k dlx 2/;jg3+ gsinjscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and releag2g+/7jgnjgwsxkide2 - ;3ld sed. What is the maximum velocity attained by the mass?

  Two masses, A and B, are att8 mrtc,-1 e,mudvr(ic ached to different springs. Mass 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 oumi e,mv1,rcrdt(c- 8 f 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 equil*i xo(pjm+ ;v11gjoqi:re2 3zkkl4 wsibrium the mass stretches the spring 2.0 cm downward. The mass is then pullejk+ek (: l v1igsm2 3o;z*j1wx 4irpoqd 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. I nwcod4s x)4nu1ntn/ -n equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additio nx s1/td -n4uno)nc4wnal 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 equilibrium t.w wkhfcnp6n ytk m88v.49 v/phe mass stretches the spring 2.0 cm downwa k.pcwf twn./yv89hvn k4p6m 8rd. 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 harmonic motion obeys the following posh*cz w,)i me/-qp *htrition versus time equatiohi*em,*c-qpw h) ztr/n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positifyh-s9kclbs4 f j 1 :ebm-5bd5on versus time equation:m-:slbbf dfk9e ybcj415sh-5
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeyemf *18q iro;r6yjv av; u3ru.s the following position versus time equat.r6u ij e;f8ramuo13r *v;yq vion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion accz 85obvj4qqg;ordz4 j5qq8g;bv oing to 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 attach 4px4enf9 pcbj ax6+) 4puz*weed to spring with a force constant of 20.0 N/m oscillates on a horizontal,u94 pbzpp4cw e4f)j*n6+axex frictionless track. At t= 0, the mass is released 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 frequency and peyvoom-x y 5a5 o2o-r6ariod on Earthy o oxa6m5oy a5vo2--r?

  A 3.00-kg pendulum is 28.84 m long. What is its per :ukak9+vsd j.he/ a-qiod on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its length?3cgcyk;l 0 jv3qn1s1 m j(1tqmgv1 as/

  The pendulum of a grandfather clock is 1.0 m longg0/b jd.m,06a lvmdontha :k x,x8*cq. What is its period on the Earth?* omvhlqnx, :/0tc d g.bx80,ajd6ka m

  The pendulum of a grevsx nmrw8*39*3si-dt: tqdv andfather clock is 1.0 m long. What is its period on the Moon where the acceleration due to8m*vi e wds:*sxd93nvrtqt -3 gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a masslex0qy bkoq0w5i6)lt b 2ss string. ob0q l62yqbkx5t w) 0iWhen 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 mass has inql0jw+ zk8bo *itial angular displacement of 8.0e. It oscilla*j o0l +qbwk8ztes 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 frequency of the)jf 90f9hlnxn wave is 120 Hz.x9ffnj0)hl n 9 What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequlxc-0(aufu )lg b12wuency of the wave is 120 Hz. What is the waveaxulul20) g1-u( cbwf length?

  Figure 11-2 is a "sna;.r(2put3x jd oy5 oyhpshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wave sr5hd2yyo;p ( xu .o3tjpeed?

  What is the frequency of a wave which has a p lrs6xuy ;zc*/v5 7e h- fguekhw7b39zeriod of 6.00 ms?

  What is the period of a wave with a frequency of 1500 Hz?jenazp,t/mbf(na8,l4okk 3 /d n-ka2ravr8,

  What is the wave speed if a wave has a frequency of 12 Hz 5 3r.;i /t/hix7mgc e y1 rpdze,,yuiwand a wavelength of 3.0 ,iwir 7 xe gzy ph1id;.etcmr5/3,/uym?

  What is the velocity of a wave that has a wavelength of 3.0 md3 dc *7mnxyxu if0kvlw /r(8+ and a frequency of 12 H y i3x7 dwkf0 8(c+m*x/vndrulz?

  What is the frequency of .yalyr bj9,2k;i -ui ea 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m iq86 hb,:q9aoqi)p;iys h/a ha s under a tension of 1350 N. Wha q:ya9,h sao)8;qiia/hhb 6qp t is the wave speed?

  A string of linear density 6.00qk3 2(6dh6 mkamvptpid)qw+u 1h hp, g/m is under a tension of 180 N. What is the velocity of) vp6+2hu ddp hi3q hwq1t(6pk,mk0ma propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is/yvdhzl 4d7 -w traveling down a 500 m long wire whose total -wv/ lh47dyzdmass 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 transverse wave on a 2.0-m lonvsfb 7+lmm 49s mo*z/u hk0r+t5 0zctkg string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of thib/t*7s0mho0 uztm+kr4v s+5mklc9zf s string?

  If a guitar string has a fundamental fre;wmm 3med:a 4+ gfm)cyquency of 500 Hz, which one of the following frequencies can set the s3f yaec4)md+m ;mgw:m tring into resonant vibration?

  A stretched string is observed to have four equal segments in a sta hx ak /0r2 (:ejd(khb-/omvgonding wave driven at a frequency of 480 Hz. What driving frequency will set up a standingm v2-0/gr(a xj/b oh(hdok :ke wave with five equal segments?

  A string, fixed at both ends, qcmq;spnbs0j,ns j8yq4m y-g*(*d :nvibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frsj4 0*:gnpjdnq(s8b y ms,qn;q-yc*m equency is needed 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 shout dppse,,e 79cjpsmuc l4 pnr4d1-,/c ld its length be if its fundamental resonanclpc,rmj s/n7-e94pu,4dce,s cdpt 1 pe frequency is 220 Hz?

  Find the first three harmonics of a string of lyuw+- 2 nw4iycg+yy bv*6ev a6inear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.i6 ngv4y6-y*y wuv+ewab+2cy 0 N.

A string of length 2.5 m is fixed at both ends. When the scof 5v ,7ovjf3tring vibrates at a frequency of 85 Hz, a standin, o35j 7vfcofvg 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.