The time for one cycle of a perioditdhiyt6i j y9pw5mr/56k:p o8c process is called the

  For a periodic process, the number of cyclew6ito; u sc09ns per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium poidv6s9 c)5si * vspwd)gnt is calledigswvc 5p))dv* 96 ssd the

  A mass on a spring undergoes SHM. When the9 +v xii;l-1qezqbv1weo6hk: mass is at its maximum displacement from equilibrium, its instantaneous velocitybqo:w16 +v ;elv 9-eihziqx1 k

  A mass on a spring undergoes SHM. Wuz4fxf-7wk4 +hqc1tge6kq,1u b,va t hen the mass passes through the equilibrium position, its,tk bwkufg4 11 v-7 qaf6+czxu 4htqe, instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displem)* gm0hf5mj//xd hy* p +zneacement from equilibrium, its insta/ **x5/ehy0 zng)p mhj+mfemdntaneous acceleration

  A mass is attached to a vertical spring and bobs up and down betj,- y2y*b9c .obmve ygween points A and B. Where is the mass located wh* o9b.bjc-2,yyymeg v en its kinetic energy is a minimum?

  A mass is attached to a vertical spring s;qw9m q91p*bd3qdo *e dlawqlt(u :b- (z2kyand bobs up and down between points A and B. Where is the mass le;otq:py-ak* d299 ub( dq1lqbqz * w 3(dsmwlocated when its kinetic energy is a maximum?

  A mass is attached tc83 /o h0ltzzyo a vertical spring and bobs up and down between points A and B. Where is the mass located whzy 8 zl/t0h3coen its potential energy is a minimum?

  A mass is attached to a verx qjkquig 0( /d)8q5bctical spring and bobs up and down between points A and B. Where is the mass located when its potent)bxik8cgu /qqq d0( 5jial energy is a maximum?

  Doubling only the amplitude of a vibrating masq9njzl .z-eudc 0lf*2y8 wfm;s-and-spring system produces what effect on the system's *e-nluwm9f q 08; fd2l.zyzjcmechanical energy?

  Doubling only the ma/pba.:.db3) s)p bd/woz oo ysss of a vibrating mass-and-spring system produces what effect on the system's me/.ooy . b)d /zo: a3ppsbwds)bchanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system pwe)jym;l3g 3y0qhs6t roduces what effect on the system's mechani ;sl3ygh e6y3t)m0w jqcal energy?

  A mass oscillates on the 1k4+ qf0m yxtegj3u8vend of a spring, both on Earth and on the Moon. Where is 8e1vmg kxu40+yqf tj3the period the greatest?

  Increasing the spring con+dr9s9fq:1xey7hjj)wk ox6 gstant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the syste7) ky19+ djeqfswo 69j:gxhxr m's mass m.)

  Increasing the mass M of a mass-and-spring system/euv44;myk:pyr dy b f/vv5*j causes what kind of change in the resonant frequency of they:;f p*54 vyy/j e4vubr/md kv system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sprk 1z1d2h390fyy 0sdes ulgcgkuw6 *g*ing system causes what kind of change in the resonant frequency og1eyl g6gw0uf*1 9 0*2 zshds yck3udkf 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 ((v/ wamqocg )nt(h*n mass M attached to a weightless string of length L. For this system, when u* ctqvno)n/mga w ((h(ndergoing small oscillations

  When the mass of a simple pendulum is tripled, gy1b3* ewacdtw be;+wkr,v (/the time required for one complete vib g w;ycw/e31(+dbev* a,rwtbkration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulrb 1j,gqw yw(.um A is twice as heavy as pendulum B. What jgrq.w b(,1wyis the period of B?

  When the length of a simple pendulum is tr4zvc91j* d se3r 8gf eeflzf692 hj4alipled, the time for one complete vibration hjj69zr 14 3c dvegflzf4slee8 9 2af*increases by a factor of

  What happens to a simple pendulum's frequency if 2y: 9bjo0pdffei.+mvo lh (/c6lgz. n both its length and mass are incr z opl+m26(doh0vc.9: jf/fyen.bigleased?

  Simple pendulum A swings back and forth at twice the frabet3z+q+- rahc- y-3qtegf. equency of simple pendulu e f+b3-q t-r .gaqyechz3-a+tm B. Which statement is correct?

  If you take a given pendulumf(0cp5x a(onc to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pend p0fx nc(aco(5ulum will

  Curve A in Fig. 11-1 repre j)j uw3xbm,q4sents

  Curve B in Fig. 11-1 repreenjw ais375itmfq1 0wynp8 ) .sents

  Curve C in Fig. 11-1 s.ye -a8rv;(tl4ox ensm kq-(represents

  For a forced vibration, the amplitud c-oi 5 *uza/sj -*0ua 8icaz0p-jzuwme of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium ism tc 5gvl6n r.d16e*wg callv6 56dmlwtre*gn1 .gced the wave's

  The distance between- zlmfo xn ,ql94j:(el successive crests on a wave is called the wave's

  The number of crests of a wcysq: syg*6 x1ave passing a point per unit time is called the wave'yq*:sysx6c1g s

  For a wave, the frequency times the wavelength is thej,4 v hibq0hb- wave's

  The frequency of a wave b5q:*jndpy0x rv4atmu) k y,* increases. What happens to the distance between successive cres ,)db a*x4jmt 05pkuryny*qv:ts if the speed remains constant?

  A wave moves on a string with wavelength l and fre)dpu yh r s39 inz3h+,us*bs8pquency f. A second wave on the same string has wavelength 2l and travels with the same velocity. W 9su br8zpp3u) dyh3s*+sinh ,hat is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, ao1f9zw jckm 2ehax q.8kx9wr6-j)qc8 nd tension T. A standing wave is set khe8k - 9rw 69qcxoqcm21ajf)w.xjz8 up. Which of the following is true?

  A string of mass m and length L is under tension T. Them1d*swv hz sz.jjy;e 0r1hi (8lois-* speed 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 tojzessiszilor8y1 jm* (hh*1.0;dw v- 2m, with no change in length?

  A string of mass m and length L is under tension T. The speemmq hi0 *m*tu:d of a wave in the string is v. What will be the speed of a wave in the string if the lengqm :hm**0iumtth is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension Th,mu, 9yt :ana. The speed of a wave in the string is v. What w,h:uy,nat a 9mill be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S; gbiq4rn+- vs wave is a transverse wave. As an S wave travels through the Earth, the relative motion bet-s4qi;vb +nrg ween the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a w4 dwjh (1ad;wP wave travels through the Earth, the relative motion between thew a14djh ;wdw( P wave and the particles is

  The intensity of a wave p 8ey 1lqhkwb. (.uaz1v;7xu qis

  A wave pulse traveling to the right along a thin cord reaches a di9lf-h1bmg2 r ux.1qurq fb4p7 scontinuity where x1 r-9l7mpufgbb1 42 uqhfr.qthe 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, one 6mg9z aush/cgj/)6e t9 k0fwkis traveling toward tmf 9)kczg/sgj6 ew/tu90h6kahe 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 eq ehoy gj8g,rdgm5 -h3 (4++ksweij8sach other on a string. The one traveling toward the right has a positive awy rg8hkgs jeo( 5,-43+sih8 jgdemq+mplitude, 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 at the same time

  Resonance in a system, such as a string fix 5ao 2gbedj7t,ed at both ends, occurs when

  If one doubles the tension in a violin gsyg9vjw m :3z(1gnj5string, the fundamental frequency of that string will increase by a fact:1g3jwnz9gvs5 gj my(or of

  What is the spring constant of a spring that stretches 2.00 cm whengwe8x3xz )lzz6 *(l h g)9rgzv a mass of 0.600 z6l3vh zw*g)g) (zx9zxl8re g kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizons2sb4u. 7puhgal7b g; tal, frictionless surface. The spring is b47 2hl bus. sgapg7;uinitially 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 of spring constant 60 N/m along a horizontal, zcnxo5.o. rs u9h-b: d 1k4jskfrictionless surface. The spring is initially stretched by a force of 5.0 N on the mass4 .h xuno.s5jzr -kkb:s1doc9 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 spr.6mt7i jsh 02z woij+wing 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 mass6m7 wi.o szh2i+0 tjjw 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 ;ic l 1),+mjsm-vv n,w uejip6goes through 10 complete oscillations in 5.0 s. Whatlij ), ivnm6e ;wmjvcpsu+ 1,- is the period?

  A mass vibrates back and forth from the free end ofjy379 l4fer wj yc)i fmrj/)o05sxr9x an ideal spring of spring constant 20 N/m)cffys/9 9je xj0 4r57lwrym3jrxi o ) with an amplitude 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 attached to a spring ek wp8 t31p mcvuxfyu/z ++x*8of spring constant 20 N/m along a horizontal, frictionless surface. The o* eywzkuftpxu m3 +cx81v+/p8bject oscillates 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 is 8 /g ybdw*k-+nxd)ze5e.0 J at this time. The mass is cut in half, and the system is again set in x z-5wb+ey ) eg*knd/dmotion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to9a.avj( z 1nfgjqzfq +c.mx9 . a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmoni9 v qa1 jzg(xj+qf.m .a.9nfzcc motion and has a speed of 1.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is atcjyjh)/a (vf+ vnq6f5e:og x. tached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic moq)fh:vjf(5xe/ jc.vyong +a 6 tion 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 eu 2yot ,1iajg89ik,*vopc c 9 f/vbzf;nd 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 the total mechanical energjk ogt u* ,/z2v;y8ocbv9fipc9 , a1ify of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring c71gieva1if 5nonstant 51v7ea5ifig n 10 N/m and set 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 df6 yw:b*1fpkftzr8+ forth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitudep*ft861dw:rykb +f z f 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 equilibruy l-fop+f+r +i5 m2qbium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the m ymfi5lf+-+ pq2r buo+ass 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/m. T(c;pl6,eq 5stkyj5m y /ox5yx5j y) xzhe object is displaced b,55 ly )6m j5x 5pcyjyosxqx(yzk;/ tey
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 livm)r of r7jm44p41 oN/m. The object is displ 4moij ro 4)lp7fvm1r4aced 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/mc5e ypt sms(9id,jgpqnl898( xm cz- *, displaced slightly from its equilibrium position, and released. What is the freqsc9lp z,m(cs5in *mp-x gydqe(8 98jtuency of its vibration?

  A mass is attached to a sprinput;m26zjj 5ag. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. p 6uat5;z2 jjmWhat is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates w+uj bz*;af.;/s1djoyif) fn uith amplitude of 8.0 c;ffu*/ a+;o .j1zis)nfjdybum 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 suspendeduk 05g7y2+ o ugq,ukga on a spring. In equilibrium the mass stretches the spring 2.0 cm downwuquky07+2gk ogg5,auard. The mass is then pulled 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 springv+pe)u ot,i9q. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an addiqi)u eoptv +9,tional distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is sud-il6bhu.+ nu spended on a spring. 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. Write down its equd+l6 b-hu i.nuation of motion.

  An object in simple harmonic motion ouprr;k3/g 9:cb 98akax bz0is, +d kujth*0labeys the following position versus time equatio9t *k0kp; g/u bcj,r8hk rusx3zla:d ia0+ab9 n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following posiep*,l2g0ejv+a.tmw2 c 6vzao fkr *gzaq11i.tion versus time equ0vo6k w2 gageifj *lcv mzz*atpr.2e .+a,q11ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position k2ikbs)i96j1jmm 9lo versus time equk)61kbjms2o 9ljimi 9ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic moja:p7vp5z )n mtion according to thmv pp n:az)5j7e 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 con7k. :d pttkuk-stant 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 10.00 uk7pkd t.t-:k 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 i,0fbbm,l6mpg n 8.0 s. (a) What are its frequency and peril0p bg mbf,6,mod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on lu--6 gu;1vaho 8ka 4w/b gjdspp. 5hbEarth?

  A pendulum has a period of 2.0 s on ja4phr o.c;j6Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What ic/w/yjumc9 w;q4fl n-mjr7u1qn 1)zds its period on the Ear /cu1c7n ;9 jlmn/qwquz1 djw4fr-ym)th?

  The pendulum of a grandfather clock is 1.0 m long. What is i4fp-a*mv xe6ks 06xd8h hfs 1ss.5jints period on the Moon where the acceleratio*0 64 sa hxdn s8mk6p5s1efvji x.h-sfn due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists c v,-c p-pquz )q:yo*lof 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 frequency of 2.0 Hz. What frequency would have resulted if a 0.50-kg mass (same diameter sph:qo)*c lp ypqc-,z-uvere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass hag6cea:gzttad :+r6 7,wo.wp rs initial angular displacement of 8.0e. It oscillates with a period of 3+,t7g da66 zt wcr :o.aewp:rg.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 w 90ks r e(og7 r*2msny6)uxixkdqc qwg ,8y:1fave is , qdk6xeo r(n79x*kuf0)gs1w 2i gq8sc m:yyr120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wayf f)q(1i2mi1 ie0ny hve is 120 h0i) qfyni(1yef2i1m Hz. What is the wavelength?

  Figure 11-2 is a "snapz/tvvla, 3o )dshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wave spa3) tz/,lodvv eed?

  What is the frequency g/w1 ki i2 wljwepwn,-f23zf5 of a wave which has a period of 6.00 ms?

  What is the period of a wave with a frequency oa.b l t,czuis0;py31of 1500 Hz?

  What is the wave speed 0 l y 7 kf76exwyved7:oov/6uxif a wave has a frequency of 12 Hz and a wavelength of 3.0ev7u6yvy7k :/xl od7oe6xf w0 m?

  What is the velocity of a wave that has a wavelengtw 61yo6exxt /th of 3.0 m and a frequency of 12 Hz?yo1x e/t6t 6xw

  What is the frequency of a 2.5 mu 3u3ai*1grf k wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050u7wi)xpsw + 6b kg/m is under a tension of 1350 N. Wh7wpiw+)s ub x6at is the wave speed?

  A string of linear density 6.0 g/m is under a idvx6*;t xzy 0xi53/bvm 3q rztension of 180 N. What is the velocity of propagation of transverse waves along the string6r/xzdt3iyv3x iv0m b *xzq5; ?

A wave whose wavelength is 0.500 m is travelingv.bu4:ti vh /l down a 500 m long wire whose total masl b4h vv.u/i:ts 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 trpso(79q 1rzpn 7z:car ansverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a reson9scr zpr1o (zpqna77 :ant frequency of this string?

  If a guitar string has a fundamental frequency oto;d 3 d9odld 4zit67*la-ymof 500 Hz, which one of the following frequencies can set the st9- 6z;o omtldld4aodt37dyi * ring into resonant vibration?

  A stretched string is observed to have four 4fr: h7 us)z i.pc6 glqvyrn+:equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equ6:47 r.pqnzcyusvr):h flg +ial segments?

  A string, fixed at both-jt2yh wi)wyp7ap 9g. ends, vibrates at a frequency of 12 Hz with a standing transj.g- yipp)27 whway 9tverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear dend ieewc4kcyc,lh8/mf) cytr-,/haqm 0 /9zf2sity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequqk ci c-/ mw,8mhdyey/fhra 20tc9l, )/f4eczency is 220 Hz?

  Find the first three harmonics of a string of linear mass densixd/ h jn);nyk7ty 2.00 g/m and length 0.600 m when it is subjected to tension of7jx)d;h/ ynnk 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrjy8 0ay/ tv3urates at a frequency of 85 Hz, a stvj 8tr/ 0yyua3anding 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.