The time for one cycl qig3rn *8z/;nabgs.ne of a periodic process is called the

  For a periodic process, the number of cycles hd-uh w 1v1gq+o 0h)ixper unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point iixh:vg(rgksip+*w6be/*d z -s called thew+zikg-d (sr g i:b*h/pe*x6v

  A mass on a spring undergoes SHM. When the mass is at its m3p0n8+ h6p qty s(fjqaaximum displacement from equilibrium, its it p3qs6q(f h80pyjn+anstantaneous velocity

  A mass on a spring undergoes SHM. When the man(pvih:v)b1c80e,f a2as nmi nn36s mss passes through the equilibrium position, its instantaneous vel31snm(na vm6n,v c2s:e i)8pnb hai0f ocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement cyhd 1nnmt2b ;/a2a j0from equilibrium, its iya2 m;/btj h0 12dcannnstantaneous acceleration

  A mass is attached to 6 d.nvoz8j)xga 9jrc 8w,v1c7 xkb;tda vertical spring and bobs up and down between points A and B. Where is the mass located whenx6g b,)c;vrkw1nj7zd 8 c.od tx9avj8 its kinetic energy is a minimum?

  A mass is attached ta n5/h)a rxmbg1ri,*ro a vertical spring and bobs up and down between points A and B. Where is the mar ,n5rxm)r/i* ab1 ghass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring aece o7myuw-tje/1+8qnd bobs up and down between points A and B. Where is the mass loc7t1u /cmejq ywe8e +o-ated when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and d.2dz(ppw 85p1q+ b9uevlrefbd bpf .0own between points A and B. Where is the mass located when it.8fp z eburfdpb1v qdw 0(e+p 92lbp.5s potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-a,+(pqs .rb --etbx ms3thnvyq0 fti:1nd-spring system produces what effect on the system's mechan.tmbefbsiyq-- p3t0,:rq tvn x1hs+( ical energy?

  Doubling only the mass of a vibrams:y6 zrdr8pp16 b* veting mass-and-spring system produces what effect on the systep db 6se8*pr 16:vzmyrm's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-sprin h( rpa.cih4m/xvos;- r5ok3f g system produces what effect on phi .hrosx;( c4-rvm35 a/ofkthe system's mechanical energy?

  A mass oscillates on the e5):q m3eyni( (ibfwjbwn+wc m60 my0 qnd of a spring, both on Earth and on the Moon. Where is the period the greyw 03c)b0: w5qbqi(jm nef (imy+n6mw atest?

  Increasing the spring constant k of a mass-and-s:wdk8svh -y9spring system causes what kind of change in8wdv-s:9sk hy the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change in 9ez4fuy8fnlwhvam7,r h 8t() the resonant fr8 (4hy8lre9 hzfv) ,ftnm7wuaequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a ma5f +nqi +evb n))5lkd9nkepm5.vv gi,ss-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes mke)iv). +5,e9 n5gvlnp5ifqnb+d vkin 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 anka m8kf5-2qa.8ghep mass M attached to a weightless string of length L. For this system, when undergoinh .aamfq25-kpen8kg8 g small oscillations

  When the mass of a simple pendul*r dpi 0sfh yr+a03a, lcm(g-bum is tripled, the time required for one complete vib r +acmbgps *a0h-(dyf3i l,0rration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is tq: d3 jbrc)u1q9i: mvt(nie h6p:h3hy l0h3ny wice as heavy as pendulv1)yr3hym:un c3hb6qh q(eni9: : dhjitl 3p 0um B. What is the period of B?

  When the length of a simple pendulum is tripled, the ti ;x*e 6mih6cypme for one complete vibration increasesy*hixe ;6 c6mp by a factor of

  What happens to a simpl 1ul f) h-c v.vmyie69ddyu8+le pendulum's frequency if both its length and mass are incriv+ vhl e 89fm-)udlu1y6cyd .eased?

  Simple pendulum A swings back and forth at a t3k*l)0f5tci+iwrm /x :iudtwice the frequency of simple pendulum B. Whicrkxi)lu :wim0tafc 53 d*+t/i h statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity is grpznq a.1,)tless than on Earth, the resonant frequency of the pendulum wi n,a1.zpg)rq tll

  Curve A in Fig. 11-1 represents msu4*he0/fstz( 1kc.o5d d bb

  Curve B in Fig. 11-1 represep:qbf*x( 8m nknts

  Curve C in Fig. 11-1 repres7p:f;jm cbsf .bd it0)vstv5 pshn(6-ents

  For a forced vibration, the amplitude of vibration is founwfht. fm*aizw9 8r29ud to depend on the

  In a wave, the maximu uo,g-iux mu+g8yz-( sy+jaxmtc/o : 4m displacement of points of the wave from equilibrium is callec/,uu(g zty4iy sjoa-m : omux -x+8+gd the wave's

  The distance between successive cresth2 qv y,2pc;(ks3 *fxx/jlkdy;v 4aets on a wave is called the wave's

  The number of crestsomjvv;uw w:,l 30bc6 b/de kap*,k ad: of a wave passing a point per unit time is called the wave';/m:b3bdaed:vp0wwkuk,a, l*vj co6 s

  For a wave, the frequency times the wavele.c pcpkfuha(q, (k:w1u e 0o7vngth is the wave's

  The frequency of a wave increases. -72xe 6x aqnydWhat happens to the distance between successive crests if the spey-x6x ne2dq7a ed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on tejakg:v),;u /w0sx k khe same string has wavelength 2l and travels with the same ve wjevsa ),;0uk k:xkg/locity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. A sbj)kphku t)/e 3kr1.uho ,3 phtanding wave is set up. Which o1u kkt3jpe)/kohu3h)p,.b hrf the following is true?

  A string of mass m and length L is under e0s c((wvdwe; tension T. The speed of a wave in the string is v. What will be the speed of a wavws( e; 0ed(wcve 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, j:pnlf ivw(s)1u ob4 is under tension T. The speed of a wave in the string is v. Whai1o4fl , jvs(n ub:)pwt 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 Lh0ittd -6 o3lg is under tension T. The speed of a wave in the string is v.i63-godh 0ttl What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave trave( djxscl)k *e/ls through the Earth, /s )ljd xck*(ethe relative motion between the S wave and the particles is

  In seismology, the P wave is4xbn/ alw ew:n),h)opjy4l0v a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wa0we)y px,)4vhnl nlb4jow:a / ve and the particles is

  The intensity of a wpr*9ov ;t5n; s5tpcb have is

  A wave pulse traveling to the rignf sa8 89oz,fkht along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientatfz sf8o,9k8naion of the reflected and transmitted pulses?

  Two wave pulses with equal st v q;29w6tzipositive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the poi6s 2t9zvwtq; int that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one travepl8:g g+j wd6hling toward the right has a positive amplitude, while the one traveling toward the left has an edhj+gl pw :68gqual amplitude in the negative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system,fz/ttsstnl.s:9 pq: 7 such as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequench34bnv* e2agw y of that string will ib ha*ge 3n4vw2ncrease by a factor of

  What is the spring constant of a spring that stretchopv;oreeg+16.l wirp1r)oe . h4 cx.kes 2.00 cm when a mass of 0.600rri6hg e e.1 ).w; evpc xo+olor14k.p kg is suspended from it?

  A mass is attached to a spring ofqq j zw8:(18ybfo/rwu 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 / j yw(8bo f1w:zq8ruqposition when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring cons1.udf , uj1tf.nwwgi: tant 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 uu.jdnf.i1 fw:g1 wt,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 spm1/,ul.e -p/9 lzhpi4dk xme cring 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 the frequency of cz.mmi -pl, 4hl/dkeex1p 9u/oscillation?

  A mass on a spring undergoes SHM. It gobxz0)* ur(d y3hw1uqbes through 10 complete oscillations in 5.0 s. What is the u3x*0(w b 1zhy )dqbruperiod?

  A mass vibrates back and forth from the free end of an ideal spring of sprinv*l4g cg+pj o l2;21lrrfq.eqg constant 20 N/m with an amplitude of 0.30 m. *+ rvq1fqll4j2rc2 oeggp;l . 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 of spring co j6u: s4 lweyj t4td6 ngx96rmxpr9h:+nstant 20 N/m along a horizontal, frictionless surface. ygep6jt:xs464jhn9w :r dx+ut6 9rlm The object 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 wikkj lj +csyt jrjd*7:imsoo2 9k /w532th amplitude of 4 cm. The energy is 8.0 J at this time. The mass isjk/s 92r 72im *jsj5wcd lk3tj+ ok:yo cut in half, 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/sl8d. :6 *eqx*5g+do/rgl8q e mgyanb m along a horizontal, frictionless surface. The object oscillates in simple harmoni8 n*adex.dg:/ g6+ye rqlsmo5l *g8bq c 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 attached to a spring ofg2m2tf t(amlbaw.6m7 /k6 m ml( ;pdzq 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. At what location are.qmm z wfa2(7t;m62a m6lm pbl kgtd(/ the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of hbf;.koef + )k -h96oo-h bypmspring 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 systh;p h+o-b.okeyh f6mkf) 9-b oem?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constcoq:;h q cac7ug l, ,*6ws(pedant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total me:osl,qq7(ew;ac uhp6ccd* g , chanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal:(yo v+r(api*o3w ar o spring of spring constant 20.0 N/m with an amplitudeo(ow*arvya+ 3r i( :po 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 cmkn76ao td( +usti.4/ifmlz9j from its equilibrium position and released. A frequency of 4.0 Hz is observed. What nj/so49zau fl7( tm iki td.+6frequency 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 uwx 9q01 s-psispring constant 10 N/m. The object is dipss1 qwx 9i0-usplaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is a7f, cs hn2m.+1pchoqfttached to a spring of spring constant 10 N/m. The object is displa2p1m,c h q+7.ofsf chnced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung fromfx0udv s y0)pbcuv/3dfdd,2 3 6k dh7c a spring of spring constant 18 N/m, displaced slightly from its equicdcx)37dyvfs0f6h2b/0, dk uupv 3ddlibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It b zj6 nj6kt4 *q1gksd*gfj13e oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilik kejb6j*s4* g6fz jnq13 t1gdbrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached iha5-b54nlir9wy 4ci to different springs. Mass A vibrates with am4rwy4a-lbi i5n 95ic hplitude of 8.0 cm 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. Inkookpu n0,;+qs.bz5 mbw*)6.91hh ks exwvxf 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 thekk5 +fn,w)kss ; oqzehb w.6pb *x9hv1.0xoum period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equiliqe. 08fm1qp xwh-xf6xbrium 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. Calmfqfx- q.hep 06xxw81 culate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches,q n,i tlqrw1l.ua- nu.. bt)f the spring 2.0 cm dbwl.f,natqr q.l-t n),i 1uu .ownward. 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 followibcm,p-b ;) 0nxfkh1rz0kp;f hng position versus time equation:;cf 0xm z,;f k-bk01bhphr)np
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmo u:w9ps c c*oul s2y9td24v)munic motion obeys the following position versus time equation: y2wl9t )usp49:uv2uccd*os m
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versmna)k4x;al vi 1chcb 8d m+mns700m,sus time equamhs );1m0+c0a ci n mkmxvnd,7 a84sbltion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring.d4, glxx 5zsz executes simple harmonic motion according to the equati4lxszz, x5gd. on $y = 0.50 \; \sin (18\pi \times t)$ 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 20.0 N/m oscillj63xo1jxs-uqra(uo p hl +.x*ates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, hjoul sjx1o-6ap+x (x.*qu3rthe 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. t-u7d* suhz/w0 s. (a) What are its frequency and period on Ez* hustw 7/u-darth?

  A 3.00-kg pendulum is 28.84 m long. What w9zkdbh/mv/81ts0 u j96elzmy m:r/o is its period on Earth?

  A pendulum has a period ogbs2 4ae oo+-8u* sevzf 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on tzvgj 7 xeu2(7 r5rgh/ghe Eartr7z(x/grgj hg u e725vh?

  The pendulum of a grandfather clock is 1.0 m long. What isrotfl8d5d o7h.kv ) fg0g d7;v its period on the Moon whkg);8dd l d 5v7h70rvotf. fgoere the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attacheddq;v6)t :i;l:i zizvw 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 woiz 6li:v:z tq w)d;i;vuld 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 angular displacement ofkmjqu)en2 q 5t .004k vc4ydps 8.0e. k n40 uqtky2v4qpc.m5s0de )j 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. The fr gxg.wu 7g1daa+hzpq 5l41l i-equency of the wave z.g-xpahl7w5a1ul +4 1dgiqg is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. 9cxjw)lm ctmegu 0; .u5l:8a2jd/eddThe frequency of the wave is 120 He w5/c0 u:xclmda)je gtmul d;9d2 8.jz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. Tjr/ba*b:j 4 m hydixumk4p 33.he frequency of the wave is 120 Hz. What is the wab* b/xrk ijp3a ym :jh4mu43d.ve speed?

  What is the frequency of a wave which has a period of 6.0moi,ng29e9wfj 97k v h0 ms?

  What is the period of a wave w 20 +ajyo*ay +nu6cvfwith a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a w*bn; t ;yz5w5i1uwz(u fav vs(xwqw27avelength of 3.0;*;bf xi nu1z2(yvs5vww(ta 7w zq5uw m?

  What is the velocity of a wave that has a waveleng0d4cf +9ii;hmns9qc83gy epb th of 3.0 m and a frequency of 12 H f nq8;+ymc0secipib39 h4d9gz?

  What is the frequency bx+j4mgxa vvc3 9 /up;of a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m +-avjntm ,- 8,0i4dzzvkbv xm is under a tension of 1350 N. What is the wave - 0mjdx 4zvbtm8,i an-,kzv+v speed?

  A string of linear density 6.0 g/m is under a teqfaa0dp w))o7 +1qk zgnsion of 180 N. What is the velocity of propagation of transverse wav7k0d )az) gqfq+ op1awes along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 0upqmlvbv.o he8+1 i 5d0j3gwm long wire whose total masupd0 h0vjbe5 lom+wqg.i 3v1 8s 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 long string fixylhq1jm 0el9ca ua nlfg1hrc:)+) 1. bed at bo flg11.ce u+ q1: 0ramacyjl )h)lbnh9th ends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the),-pzr(xn ivv following frequencies can set the string into resonant vibra(r, pv -ixz)vntion?

  A stretched string is observed to shbqke i7562s3 j/. b0uo asfshave four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equaje3q/o2b5iskfhb 0s uss 7a. 6l segments?

  A string, fixed at both ends, vibrates at a fre)a9 q62 wkbxzjquency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is neededz b29)qja6xkw if the standing wave pattern is to contain 4 loops?

  A string of linear denr ljiu gy8 (8wh-.v9bssity 1.5 g/m is under a tension of 20 N. What should its length beg89s(.rjb h -lviw8yu if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of line2tzywm cx:9fq exf/41ar mass density 2.00 g/m and length 0.600 m xz 4q ty/mw1c:fx29fe when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at i .e1s4kk cqu(fu; p)aa frequency of 85 Hz, a standing wave with five loopf q4; uke(u.cpkis)a 1s 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.