The time for one cyclesx9:3zl rr6j,/o;mmmum *.hfbfkk/ --myv ke of a periodic process is called the

  For a periodic process, the number of qdh*ugcqxvls(;(f *7 w m8az2a8qw7z cycles per unit time is called the

  For vibrational motion, the maximum displapq n-w e*yg-z7cement from the equilibrium point is ca7qnpwe-- *gyzlled the

  A mass on a spring undergoes SHM. When the mass is at its maxs0 w k kqd6*cg0z17vdiimum displacement from equilibrium, its instantaneous velocitykqw701 d0ki*ds6 vgzc

  A mass on a spring undergoes SHM. When the mass passes througclayznd2cr: h80e ;:sh the equilibrium position, its instant0hl dsz8:rnc ;e2:ac yaneous velocity

  A mass on a spring undergoes SHM. When theefj wi5hco:w *)qi, v: mass is at maximum displacement from equilibrium, its instantaneouswfq:ew:iv*,j o i5h c) acceleration

  A mass is attached to a vertical spring and bobs up and down between points A ana0os k:fcg9hx e5m9e:d B. Where is the mf59xm saee cogk:0:h9ass located when its kinetic energy is a minimum?

  A mass is attached to a vertical , x+darid(q0nspring and bobs up and down between points A and B. Where is the max0d(+,rdi anq ss located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bov rq+mjy:dg omh8; 9iqpmi3+0bs up and down between points A and B. Where is the mass located+8j om0mrmp 9ygv 3dqiq+i:h; when its potential energy is a minimum?

  A mass is attached to a vertical spring 7 .2i. yrq b*xmu57pp mzy 1hvhet,9aeand bobs up and down between points A and B. Where is the mass located when its potential energy is a maxi 5mz.ib72atph, .7py qrh9vx1 ymeeu* mum?

  Doubling only the amplitude of a vibrat x1ylgc 1y+3crxd4e7z ing mass-and-spring system produces what effect on the sysc+c1egyyz7x 3r4l1 dxtem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring systenl; fi -5*ch1k5vn7ao5 xoqle m produces what effect on the;xefchno l5qa o5 7in5*1 l-kv system's mechanical energy?

  Doubling only the spring cons 6z :;pvi; juppoen 216sf6jystant of a vibrating mass-and-spring system produces what eupzj6 ;66is2pe fjs:;ovyp1n ffect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moo b41ae/lc 6lup9kin0kn. Where is lc1 ia uek0nblkp 469/the period the greatest?

  Increasing the spring constant k of kroo082msxr v-mtc)8 a mass-and-spring system causes what kind of change in the resonant frequency of the systks 8)m8o tr0cvmo-2rx em? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and- 07fscxunbsi+r * uirn.gj:1*spring system causes what kind of change in the resonant frequency of 7g1+*run.*rfi0xj:u s i nbcs the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-ap k+2bi8 rxpa*nd-spring system causes what kind of change in the resonanx8k+2bppia r*t 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 massv83 ,p do+x3 eha5urhw M attached to a weightless string of length L. For this system, when undergoing small oscillatio+xvu5ew3 phh3ro da8,ns

  When the mass of a simp)(twlpd-1 ctf7,+cjnca .t oj le pendulum is tripled, the time required for one complete vibr+ ap c1jwocc -t)n,tl7tfj(d. ation

  Both pendulum A and B are 3.0 m long. The period of A is T..ti -bi8c-fhe 3lq1rd Pendulum A is twice as heavy as pendulum B. What.iic8b3 d- flteq1 -hr is the period of B?

  When the length of a simple pendulum is t*(v obg0vh7zkau;qj;jg4 a4yjq3z o6ripled, the time for one complete vibrav7;y3z j40;zggv q b*ojo 6ha 4akqu(jtion increases by a factor of

  What happens to a simple pendulum's frequency if both its length and mass areqx2d /o7bogve j+9u k; increaseku;q jb 97 ovox2/dg+ed?

  Simple pendulum A swings back and forth at twice the freq(o: qcz;q1*skvj *( s fucf-bpuency of simple pendulum B. Which state b((-kpv* 1os qjc *zsc;qf:ufment is correct?

  If you take a given pendulum to the Moon, where the acceleri(n5 c z92vvtyation of gravity is less t(2yt v5in c9zvhan on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represents x+:5 pkfymig4

  Curve B in Fig. 11-1 hlf)gbj6e8fm 3m )p8dia61mi represents

  Curve C in Fig. 11-1 represeiv s5i eh*o)j+nts

  For a forced vibration, th op l.g3i(rk/m )/blyje amplitude of vibration is found to depend on the

  In a wave, the maxim .t f5:gj47veda(2drm :imglr um displacement of points of the wave from equilibrium is callm:.4 ed:vmr7gt5 g idlj(f2 raed the wave's

  The distance between successive crests on a wm 4xni2a-ew iia7qa jz:3xt iw6,,tf6ave is called the wave's

  The number of crests of a wave passing a point per unit timei;sw yx4t f h6316clpu is called the wave'hyifs4 t6p uwx6l31c;s

  For a wave, the frequency times the wavelength8f )vfund7 4a jla6v*x is the wave's

  The frequency of a wave increases. Whatx)v( rqhh0(cgqp 0-ao , myls0 happens to the distance between successiv gvh 00l rx)qsao(hmy,(0pc-qe crests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. )q mu3f *d.ue-:prxbsn*,ptpA second wave on the same string has w* dq3)urnbpfuetmp-.:p,s x* avelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, andy f75qd16j; vesj8nxt. t -mye tension T. A standing wave is set up. ;et1ts xv8- j5mdn. ejy7fq6yWhich of the following is true?

  A string of mass m and length L is under tension T. The speed of a6 z0)via uk-hwj+zea *-bpb(m 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, with no chaz vb)iu - akhb-p*a(m0e6j w+znge in length?

  A string of mass m and length L is under tension u +8* ajc gy t/7.7gn5pnrifcjT. The speed of a wave in the string is v. What will be the speed of a wave in the string if the length is incre t. n7 uc8r/yj7c+gapfjgn *i5ased 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 the meatsm+;-ude1o)-z w string is v. What will be the speed of a wave in the string if the tension is increased tmam+ )o;1tuse-wdz e -o 2T?

  In seismology, the S wave is a transverse waveusxcz:(f7l. kt n u h-l+zh9o6. As an S wave travels through the Earth, the relativuulhoz+-f6c: kn sl.7x9(zht e motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels tl1prs u1 nfp0 ,f3hc2lhrough the Earth, the relative m1 l2,fc0psl3 uf hr1npotion between the P wave and the particles is

  The intensity of a wave ud3qqpuy/)5pftzh;r 6ylw + 6 is

  A wave pulse traveling to the right along a thin cord reaches a discontinu6f 6eetqys d 7z9n.g;eity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted 7gytqsez;e df6e69.npulses?

  Two wave pulses with equal positive amplitudes pass eacd,4,rg7t0af)ty gm o aujin -,h other on a string, one is traveling toward thetag ,-y7m,) g0ojtanri d, u4f 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 qw m1o;nme9znnc(81k 6 0xaoi traveling toward the right has a positive amplitude, while the one traveling toward the left has ananix nck;1mz6nmo(9e 180 qow 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 stru(:;quom cyrfkacz3n9-i 4b s 3fcp3:ing fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamenta+n d)r su0tll2l frequency of that string will increase 0nl+ds2t l)u rby a factor of

  What is the spring constanvd 4uecyl xp)x5h6gp+09 b.ja t of a spring that stretches 2.00 cm when a mass of 0. .pj+bvu)dhagy9pe465 0x c lx600 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m m,yyynq -in4 2along a horizontal, frictionless surface. The sny4 y n,2mqy-ipring 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 a spring ok mpzdoher9 3mes(6l, 0m+xgy7l 9fr, f spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force ok +rmepd3yl,(7e z9ls60mhf ,rm xgo9f 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 a spring of spring consptb/ rps/ yna1h(zc ;0tant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and lnb/p1yac t;0 (hspz/ ret 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 fwqlw (d,iw)4SHM. It goes through 10 complete oscillations in 5.0 s. Wha( wlq4d)i,w wft is the period?

  A mass vibrates back and forth from the free end of an ideal spring of springf1h+ge5 l(e1pc8rni h constant 20 N/m with an 5i8he +e rg(1 f1cnlphamplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attar;fi3 g8e/h ysched to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in sifysi g/r;3 he8mple 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 is c )zle:tigg( j e+ j1(ugep3t;8.0 J at this time. The mass is cut in hal j1t(u)l (:j g+peeei;3tggczf, and the system is again set in motion with 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 ae(r3 xyvymsya.c c;0 *f*g t5j,9donnlong 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 t.(x sj3v*t0,fnm*y ceydo;cg5any9r he amplitude of vibration?

  A 0.50-kg mass is attq b+ndc)*c3piached 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 1.5c*i3q+) dnc pb 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 ( *9(w:a,fsqw4wybttj qlr b2 spring of spring constant 50 N:q (yf9bw*jt slw,qtb 4a2r( w/m and set into 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 end of a kw:k/8gil4x a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. Whawg :8/kix ka4lt is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an i jbojp.k28q-m2t2 q .sdi0 rqndeal spring of spring constant 20.tsn2dk0.moq 8rbjq2. 2 pi-qj 0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium po 7j ),vbyz lvqm.2jtsj5aq 07ksition and released. A frequency .7) 5v,j2k vzj aysbmj70qq tlof 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 )oq(mxxdrfgj:hpaw-u *)bw5 . o 5a(p/m. The object is displacedqf(.5b* pu)xmrowjph-(d ox5)a ag :w 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 1 ucjz-fd o++lgd)ag;xm *os)k xx.u950 N/m. The object is di5c+xu aogs)-xg ; mzj)df+ *9.xdo luksplaced 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, dispc l6tjr:vc-io; d 8ii;laced slightly from its equilibrium position, and relea ;o-citiijrl:cdv;6 8sed. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.hdq5-h(l3fgb6 m i-z6iu/w nh27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attain f5(bh qw u6 nhi-g-iz36l/mhded by the mass?

  Two masses, A and B, are attached to different spring j) 2j 43-c4aq k7o1cgxfgtczjs. Mass A vibrates with amplitude of 8.0 xa1koz4tg 4 )cjjc 7-c23jgqfcm 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 masg(f:8 :erb7aq nn i8pz*co bm)ou4ud sv c2-l(s stretches the spring 2.0 cm downward. The mass is then pulled agoaq(u8) (zs :udr48v o- pneblc*cfnb 27mi:n 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 sprgz0kk*ew-1co bth. ;:j qi7.;suda tring. 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 reeuk.*:kio c; ;10b-z haqt jw7dsg.rtleased from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibr2 hu(c8fs;sg6 - 4z0h:pnj tg+b zvfssium the mass stretches the sp48s (bsfs ;hcfjg t:u- g60zvps+2hnzring 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 motion.

  An object in simple 9(s:ht.; wozp8mawzw i0 xez3harmonic motion obeys the following position versus time equae( 0x h: 8wzwm3;9t op.izswaztion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motv q 12k1tea0axion obeys the following position versus time equation2te0vaqak1 x 1:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus iqd g f0b:k;1p/uqz9q time equatpq0g9k/f;1 i b dqq:uzion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spo(ak g9u 7lnqtnml ve)b2w95/mh:hg. ring executes simple harmonic motion according toeu:hqalb 9 mwhg.l95t7k g n)n/m2o(v 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 2 j ,3e02upk uqjn*l9bn0.0 N/m oscillates on a horizonjb,nj kque32 *l9 npu0tal, 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 pw8y6w5suw3 :p)wc1a)lhqx xr eriod on qrh8pc):a13w w w5xsy6wu)lx Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its h).q, tfmvy5ef;sw 2speriod on Earth?

  A pendulum has a period of 2.0 s on cqhxr .e;(x3 e8abhgy -) 5a;zfoje. dEarth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is itsp c/gzxv jrrd)y40lo/g8* f(s period on the Earzgcjrv4s*0x 8f y/o/ lr(p )dgth?

  The pendulum of a grandfather clock is 1.0 m lr5h5vydb g, eppx -j- im+*x-.2sxbqtong. What is its period on the Moon where the acbhs+g5*, b x- 5mypxq.v jitp2rx--e dceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached p rkezz 7:4ln pgblzr(/:s)u)to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a fr sp:4 zlg7 ()uelzpn)zbr/:kr equency 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 initial 5:yceursi+ k4q10av2gy 4wva angular displacement of 8.0e. It oscillate152c4w eu aig:04+krv syyaqvs 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 3kfd1pt bs)m3 frequency of the wave is 120 Hp d)1smb3 tkf3z. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given timejzm sy(jey6o9ou/j9 5. The frequency of the wave is 120 Hz. What u9o/my(js56ze 9 jjoyis the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a giveme 05iyoz1 xve6 *5gh: zx.xnen time. The frequency of the wave is 120 Hz. What is the wave spo nv me. z1ex x60g5*izey5:hxeed?

  What is the frequency of a wjm jq: en i93o+)oa(roave which has a period of 6.00 ms?

  What is the period of a w3a0)o guz9ckl a02z foave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz an b4 fp295ee c/iv6nfqg .,motcd a wavelength of 3.0 mi/5mo f. e9et ,4cvb6q cpgn2f?

  What is the velocity of a wave that has a wavelengh , u5wq5zgrt4th of 3.0 m and a frequency of 1255 ,tg4 hrqwzu Hz?

  What is the frequency of a 2.5 m wave traveling at mj1k(sqv tv 96k3ps* x1400 m/s?

  A piano string of linear mass d+w/uno 1-nh tmensity 0.0050 kg/m is under a tension of 1350 N. What u mh/n1 wn+-otis the wave speed?

  A string of linear density 6.0 g2 tkzh9gf)y o)/m is under a tension of 180 N. What is the velocity of propagation of transverse wavekh2o )g9) tfyzs along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m2 er/d 4w;lfox long wire whose total mass 4/wfex ;2 dlrois
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 wj3 h* aaw8g.m evq.v4p,o mrrsn7-)y gave on a 2.0-m long string fixed at both ends is 200 m/s. Whihopj vrqm)w .as4an3y-m gev, r7g8.*ch one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, g)g* fqikrs mj:a.)9( hspzi/which one of the following frequencies can 9s fphigi.m( szq ):a k)*g/rjset the string into resonant vibration?

  A stretched string is observed tou 1yzf8r,au;z2r1 cby have four equal segments in a standing wave driven at a frequency ozuy82,yar 1 1 ;uczbfrf 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 843szoio m(my) ;nr2dad wj0zwith a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave dr3o(n8mz)id y0j 2oz wsa4m;pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. Whltw)-vjosuytfdu+n cuhy6 3k 89 6s3,at should its length be if its fundamental resonanc 639 uyct ju-l6stfs dw8,voh 3k+uny)e frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densitf;j:7:nvqhe8(k*mxxaq5:uf ys z g 9iy 2.00 g/m and length 0.600 m when qjmq:xyh 9i*v fueks: :7gzaf;x(n85it is subjected to tension of 50.0 N.

A string of length 2.5 m7-2fviqix+ursnrqi8)sv .gw5* r* a n is fixed at both ends. When the string vibrates at a frequency of 85i78+*) x*vfiqq-r nvg.riwa ns sur 52 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.