The time for one cycle ofwd*4,e+-piz wls / da(c0b xwg a periodic process is called the

  For a periodic procesps e+;utcjg l/h,t2 p6s, the number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrig 9(ly+b /6 6dwiirmzb,f u6hzum point is cal bu,6f r6bg/z+d6(9i hz ylimwled the

  A mass on a spring undergoes SHM. When the mas x :,16s8ujklw 7n tpv0lagq+ws is at its maximum displacement from equilib18+j v ukl a6wt qlns,0:7wgxprium, its instantaneous velocity

  A mass on a spring undergoes SHM. When th6f m; s+,; )yt fltiw fn7f 5rzho4y5+rawk2ede mass passes through the equilibrium position, its instfy6 fk w7+etaff5)dyt+;hr mis,24no;zl5 wr antaneous velocity

  A mass on a spring undergoes SHM. When tih+rpby;j 3 3)bvb: hthe mass is at maximum displacement from equilibrium, its instayv;3bh+ )bpi 3br:j thntaneous acceleration

  A mass is attached to a vertical spri. mym9h:bm 1us6tl h4vng and bobs up and down between points A and B. Where is the mass located when its :l4.msy tb6 hmmuhv91kinetic energy is a minimum?

  A mass is attached to a vertical spring av/s 9 l+khvn(fnd bobs up and down between points A and B. Where is the ma nlks(9+vh/vf ss located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up 3uau2p -w3hjvand down between points A and B. u-wvp3ha2u3j Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points- v)cz1ck4 go vpkc5m8 A and B. Where is the8pc1 mv ckcgv5ok)z4- mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-sprin;zwr* 5ypszdi a 77jw3g system produces what effect on the j; sp*3a5 wywzir77zd system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system pro jsb n3ag29j(educes what effect on the system's mechanical ens3 nja2jbe9g( ergy?

  Doubling only the spring constant of a vibrating mass-and-spring syd75 ml lykbv)ebh4z.0stem produces what effect on the system's mechanical5vh4 d ke)b.70y mlblz energy?

  A mass oscillates on the end of a s+g y:: sb8;mh.e)psiw.gzwpsx +:g lvpring, both on Earth and on the Moon. Where is s+spl g.ev yxs+ ;wg.ib:g)wm:z8:h pthe period the greatest?

  Increasing the spring constant k of a mass-and-spring system causew yrtgem*1,.u s what kind of change in the resonant frequenmuyte.w1gr *, cy of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what 5 slhr9l:8egf kind of change in the resonant frequency ofr s8ge ll:9hf5 the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of change x6 8zw:+5ib ayo0pwvvin the +yb0wi :vovz 6a58wpx 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 q7sav :mx+og; cmx3g0of a mass M attached to a weightless string of length L. For this system, +q3:0;xo m7gsa gxcvmwhen undergoing small oscillations

  When the mass of a simple pejdm7up;)ikh*xp s.,myad9v :xp1g (jndulum is tripled, the time required for one complete d9jk,.m;1 mxs(u ja *py7) xdh:pigpvvibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A isgt )t:-nk+n) y8 d y0cadbrci+ twice as heavy as pen0:ytn)g - y+ rtcdnac k)8d+ibdulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vibrapy(0k31 rzvei tion increases by a factor130pr(yikezv of

  What happens to a simp76tlf5nu mzf34kqm o8le pendulum's frequency if both its length and mass are increasz5m fnt k8qu f3o4m6l7ed?

  Simple pendulum A swings back andau -0qwfp qz)a:z4t- b forth at twice the frequency of simple pendulum B. Which statement is corref- bp-wt :aq)0uqz za4ct?

  If you take a given pendulum to the Moon, where the acceleration of g) kgxneky:f c t f/5it,27s-wi*ct5weravity is less than on Earth, the resonant frequency of the pendulum w/fw 7i 525xegtey stikk-f tcw):,nc*ill

  Curve A in Fig. 11-1 r/ 2c)e: ynbiap9bx d(xn+lgr ;epresents

  Curve B in Fig. 11-1 represe231f-k unw c m+3hcjuints

  Curve C in Fig. 11-1 reprfzk*xr9 ,9i oqesents

  For a forced vibration, the amplitude of vibration is found to depend on z5 1sr5 q7h4.jyhice3.lxvj.v s-jaq the

  In a wave, the maximum displacement of points of the wave fr/-v-u gqbzeifn3 )k68/vcdllom equilibrium is called the wav-8 /di/ub 6len -3zflgv )vqcke's

  The distance betweentp5pi.k)(*da kbvqv 0 successive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the wa/vf. ozdz(3*l79hql jp azq-wve'79-/ (d *3wzqqahz. zjllfpvos

  For a wave, the frequency times the wavelength is the watr. k /2w+ufdoaqn9c 2b7 dr4tve's

  The frequency of a wave increases. What happe26glpn wo:h q03, crntns to the distance between successive crests n 20qhlcto w:n3gr, 6pif the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wavtxnuy qy r mzn:u.j:r8y:7;z6 e on the same string has wavelength 2l and travels with the same velocity. What is zx 7.nty;urm:yz8:u n r:6yqj the frequency of the second wave?

  Consider a traveling wave on a string of length L, mc+/pr a9 nwyfsp ;5*hrass M, and tension T. A standing wave scn h +5yf9 *rpap/wr;is set up. Which of the following is true?

  A string of mass m and msvync cs8 .k4)g3yg 3b5 .ctdlength L is under tension T. The speed of a wave in the string is v. Wh 5 4scb)38.dcnskv t3.yygmcg at will be the 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 speedf 4)o/fux)efa6gxs u5 of a wave in the string is v. What will be the uuf5f)eas/ xg4 6f)xospeed 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 tensj-f9n7fvqy8s ion 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 incr9nv-8fq7sf j yeased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through;dfahek33pc : vmnnc8w*t v 46 the Earth, the6 k n;38h vt3cavnmc:edw4pf* relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P((s k) qlo63 tldkvp3j wave travels through the Earth, the q3l6 )jp((vsk3dlkotrelative motion between the P wave and the particles is

  The intensity of a wave ix )p1knirfefj-;o3v9 8m+ jmhe8*rsps

  A wave pulse traveling t w*c(; y9urqikf ff9g65cqt 1lo the right along a thin cord reaches a discontinuity where the rq5y16 wfu9f; iclrkq(c*f9tg ope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other o)zxbyy w ;q7, 7v3mvmbrsp*9 ziy 9ef3n a string, one is traveling toward the right and the other toward the left. At the point that the3svy,)mwve;ibzy r*q 9 x9y7p3fb7zm y occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling towa/g fzxcmworvx1nv4dsgxx( :. :x46 (r rd 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 ocngsrr xdv1.4wv6x:fx(:x (m4c xg/oz cupy the same region of space at the same time

  Resonance in a systedc( d7:msgz* ,8owmw mm, such as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the f,r / -w sysdh:;:inchhundamental frequency of that string will increase by a fact,s dync:h :;is-w/hrhor of

  What is the spring constant of al*b l khr8n4i/ws6k1d spring that stretches 2.00 cm when a mass of 0.600 kg is suspended fron 8lk/w *1khlisr46bdm it?

  A mass is attached to a spring of spty0o/nvjbge/i+w 9 ) pring 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.g+ nwb9v)//p0 ytei oj 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 of s( )8; 0 fz6b5hg:z hpbrzxlkeqpring 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. What is 8zq:h0h )5xre( lb;f6p g zbzkthe period of oscillation?

  A mass is attached to a spring of sp p. vmr:jq, ftlp0i3l*ring 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 gov trj30imfp* .l,pq:l back to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring underg ed6:, wkz/pxoyul -/gw .yn/foes SHM. It goes through 10 complete oscillations in 5.0 s. What /:y e ou,f /d/wnz.kp ywgl6-xis the period?

  A mass vibrates back and forth from the free end of a9 kq/ryzx8r(gn ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrxqzr/9rk8y (gating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m al kbp s/1l*4r9rjxl6huong a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1sb l/hr6jk9p*xr 14ul .5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 fh yh;dqo7msex u3b.27evb (4f(df5r cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitufemx(7ed;ub( hf dh5y .sb 4 rvo23q7fde 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 along a0 9h w nv6 (gaa7:umgj8n*hxdb horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of gbnha0* 9gx wj uh8dav7 (:nm61.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of jfqr8o+ub(xd /; pfp(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 poq+br8 xjp/ pd ;fu(fo(sition. 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 k;kv rj1 )zp7cxaoo 3xcg,;6)cgc: joconstant 50 N/m and set into simple harmonic motion with an amplitude 7vgckr;1o,po;)kx)j:cac o6c 3x g jzof 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to tx( xw9 wo(h0bp+vjd3(qc7e ll he end of a horizontal spring of spring constant 50 N/m and s7vb( lx+dhxc03qjow9(( elwp et into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end l8bnt *- mwsw3of an ideal spring of spring constant 2msbt8w- *nwl30.0 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 systucjki* b/fb0 o)c/ 7ejem is displaced 10 cm from its equilibrium position and released)jf* o0 j//bu7bkecic. A frequency of 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 spruk,7f iqqo d9u l40qt)ing of spring constant 10 N/m. The object is displacedqql)q4, 90fud7io kut 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 onw:.d pf mx-y,bject is displaced b: -y pmnx.,dwfy
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 s2)a9a fu iy60syq s3twpring of spring constant 18 N/m, displaced slightly from itaistwafqu02y6s ) 3y9s equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency ofc,1 okkq-woi23 .s3gu 7wwstz 1.27 Hz when displaced a distankw z2,gq3 -.o3o w7i s1ucstkwce 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 sprg hjopc995(eesg-93 nzgf f,uings. Mass A vibrates with amplitude of 8.0 cm at afs9ngehfu -oe9cggp3(,9z 5 j 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. Inb/0,zbl/w yl ktdr/8 w equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an ad8 0 ztk/w,bbl/wyr ld/ditional 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. In equilibrium the mass stretclof6j ;4ny.wches the spring 2.0 cm downward. The mass is then pullew4yl.;j6cof n d an additional 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 spriyi twu3*qwr )opjcpp )8(ae.d-d cw3 w77s0zw ng. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is thenuw)p.as(7pd*wyd7q - 3t r3e cowz)ciw8j p0w 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 positip:+pkbm *zaw6s ,tssr u3ba73on versus time equ:pu,ma*z3+b 3t aw pbs7s6 skration:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following pos0cq-- aoo njy7*wb 9*y+uz2q; 9rfqymw1h dsjition versus time equ*c9y0uhy 7ba-+mrdozy -w qfw; qn2o s*1j9jqation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmo5nmm;1nlzox ,nic motion obeys the following position versus time equatinx1olzm5; m,non:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a sprinxjzqo97 0 x7yag executes simple harmonic motion according tq0 z7xx9oya7 jo 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 constanq jfoz6okm88 ,t of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from resk, 8zfo6mo8qj t 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 swingskn5ul1i o:ah-e/f*mmj0exk; in 8.0 s. (a) What are its frequency and period on Eox*j fh lmu;e1ken-m k/i a50:arth?

  A 3.00-kg pendulum is 28.87q)x/fmo e1wvf u0u 8e4 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earthlzg 8gq*/7 fjam:-dpbg 3 :wib. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What 0q(s720fr6ho uoq atiis its period on the Earo(06uhotqafq sr72i 0th?

  The pendulum of a grandfather clock iqs2:g re:v( hes 1.0 m long. What is its period on the Moon where:qegs:r he2( v the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists orhtsizw 9. ao:c;l+f 9f a 0.25-kg spherical mass attached 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;ra99+oti zc. w:hs flequency 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 consi0ktd1gzsu5/ y2tgsh6y +vmb 0sting of a 20-g mass has initial angular displacement of bvt 6+y/sd0ugst5hg2 yzk10m8.0e. 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. Thef q *zo+ggytmnt-5 3jy rmh3)- frequency of the wave io*f-j+gm33y- 5rqt y tmg)n hzs 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wabb qy6ezx6/ks;e :thz,adu0*-k +sq ave at a given time. The frequency of the wave is 120 Hz. What i:e,szxes;* +0dk6-k q qabz6/yhuba ts the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The freq8nw rho ft yv0nfq1260uency of the wave is 12n1yhqfvotn 026rw f080 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00 *pugc:c-mp1 h ms?

  What is the period of 0a bg23ghcal- a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz ana ,fvmep0j02 ,j/moq ho;(s bgd a wavelength of 3.0 me(ogj,;2 mh s /0a,fvpj 0bmoq?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frbzk7l 5u.jwhw*)vrvt: ) c9lk.qs up-sz4eo,equency of w59co uvjl7s. lt*bhzs,vezkruq- )p4)w:. k12 Hz?

  What is the frequency of a 2.5 m p op.j-z t/ro +l*gh3fwave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 ti-hx2 )fa 5vc/.sko8 q jj-qekg/m is under a tension of 1350 N. W/2 qsjxco qvf-jhk5 8-.ati)ehat is the wave speed?

  A string of linear density 6.0 g/m is under;*xwny*/ 5)0 j pqto8kg)fm v;xnhjh7 p 5uxvv a tension of 180 N. What is the velocity of propagation of transverse;7 )v tmxxuwvgfjhn5qo)nh05*py;x* /p 8 vk j waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 507b:kh* ;ifjba0 m long wire whose totabj 7;h if*kb:al mass 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 propq0y3az9q e fr*agation of a transverse 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 frequency of this stringye 3qf0q9 rza*?

  If a guitar string has a fundamental frequency itpln8 8fjr2ejztsc-z-- : s0of 500 Hz, which one of the following frequenciesl2c-ist- -njpt0 : z8e zfrj8s can set the string into resonant vibration?

  A stretched string is obse;; o qtr*be8)zmqm;hh-0wjyc rved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What dr);8m; ech o-*q;zmt qbyjhw0riving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 vy 5b 92xk+reewpxv82Hz with a standing transverse wave pattern containinbpw5+v kervx 8y2 9xe2g 3 loops. What frequency 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 y5 gf/2ehk uul1v- :mtshould its length 5mfkul:h- u2 egyv/ 1tbe if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string oqvp44u:cst s*uho0u)f linear mass density 2.00 g/m and length 0.600 m when it is subjv h)4usu *sq :4cupot0ected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at ar3u)e*b rk/s 3y ubxt0 frequency of bu)xrb* u3s re30ytk /85 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.