The time for one cycle of a/z ) bb4;uzqvn periodic process is called the

  For a periodic process, the number of cyc6 eq/* lml54gvx7.bw v yczw/nles per unit time is called the

  For vibrational motion, the maximum displacement emeri; 0qmb.; from the equilibrium point is calle.m;0e imr qe;bd the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacemermqslqbu;hrf+ 9 8gqv +i262ent from equi;uq gvqr+2l9e+r f2 sh i6mq8blibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the c:)6 z.w oxpkyc.ais5equilibrium position, its instantaneous velocitysxy 6c 5:azcw)o..pki

  A mass on a spring unemfr0z4 a2y) zdergoes SHM. When the mass is at maximum displacement from equilibrium, itsze2f)4am r0yz instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points nx2*2ak jx1.y*flw 7s3mneem A and B.* m 2.elkj1snx7 e32manw *fyx Where is the mass located when its kinetic energy is a minimum?

  A mass is attached tom.zowf 26alp5 a vertical spring and bobs up and down between points A and B. Where is the mass located w6wm5 op. afl2zhen its kinetic energy is a maximum?

  A mass is attached to a vertical spr)20 gtix6 ret5 yhrmy6ing and bobs up and down between points A and B. Where is the mass locami 5x2t)gyrtrhy6 60eted when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down +vzf/i 40zuaek0x 1;5 jyyfzobetween points A and B. Where is the mass located when its pooaejfu y0;y1z4+k0v 5zi /fxz tential energy is a maximum?

  Doubling only the amplitude of a vibrating masy,ty.;f s(z4*khj nay s-and-spring system produces what effect on the system's z(jt4*hsfyy.y a,;nk mechanical energy?

  Doubling only the mass of a vibrating v7o7hp1,t 2zu: dihqm mass-and-spring system produces what effect on the system's mechanicalo ,tvhuz 1d7:7hm q2pi energy?

  Doubling only the spring constant of a vibrating mass-and-springed*o0 4g fu8p+qn0kye system produces what effect on the system'seofyg+0u nek8d4 *0pq mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. :bb 342 lk u;ls7lytiuWhere is the period tl2:3;luytk7b4b usilhe greatest?

  Increasing the spring constant k of a massgio *ks 76o2ea-and-spring system causes what kind of change in the resonant frequency gekioo6 2*7as of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes w c.3qocb;n4r gb)dbn 1hat kind of change in the resonant frequency of th)n1 qrcbo4.3db c;gn be system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring syx0 ;xm: gfln5kstem causes what kind of change in the resonant frequency of the system? g:xmlf 0n ;kx5(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 ema-l+yof728; z qbe3/lhrpwweightless string of length L. p87q /;e+-wom llf2yzarheb3 For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one pz p +x*3wr6 hhxj.ph4complete vibra34xjh* ppzh+rw.xh p6tion

  Both pendulum A and Bkvoroz 2q 05+m are 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the k 5r0v+ooq 2mzperiod of B?

  When the length of a simple pel 5vxit au;-)t9j ,s3x3imbkk ndulum is tripled, the time for one complete vibration it;sv39im u3xil)j k5bkax- ,tncreases by a factor of

  What happens to a simple pendulum's frequency if both its length aniw)ob+a sf) f-3f 7dh6nwu:q hd mass are increa+ho) fafwq7bsf- dniu h3:)w6sed?

  Simple pendulum A swings back and forth at twice jbni)n .csjp2lp* 1bx 01ldk+the frequency of simple pendulum B. Which statement is correcpj n l1 kd.c*2+pn)ibj 1lx0sbt?

  If you take a given pendulum to the Moon,t;i*r8x u9 hhw where the acceleration of gravity is less than on Earth, thh8uitr9*;wx h e resonant frequency of the pendulum will

  Curve A in Fig. 11-1 1v.ztw+t/9 l acl5sv2okxr5 drepresents

  Curve B in Fig. 11-1 repl d0 2*r.xodxeresents

  Curve C in Fig. 11-1 reprqp v7y+iz8dh*r m+a2n esents

  For a forced vibration, the amplitude of vibration is found to de(v eaw 74bh*oevl6xz6pend on the

  In a wave, the maximum displacement of points o7jf ibmj(bqv;8 gb+hsb+ 1x3df the wave from equilibrium is calisj+vbh mf7b;(3bj gd bx 1+q8led the wave's

  The distance between successive crests on a wave is cldis p3zr:s 1j1w* yc;mz 1/crs65tzoalled the wave's

  The number of crests of a wave passing a point per unit time is called the wo f :uczgt+o;.ave'utog:f o;cz. +s

  For a wave, the frequency +0ws:,jmj azyf)krd :times the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance be62chxujkap62. f ,z*ej . doqktween successive crexj6c6*d.q h zj,f kuk.pa2o2ests if the speed remains constant?

  A wave moves on a string with wavelength l and frequencyt +nmzq ) rnkket*:b1. f. A second wave on the same string has wavelength 2l an 1kmq:. nrzt+)tkenb* d travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of /z ms. il56;m.ivx4 yeiom-dz length L, mass M, and tension T. A standvmmi; -/i i o4mxdz 5z.s6ey.ling wave is set up. Which of the following is true?

  A string of mass m and length L is under door/ */p1p+*ij7p qtsgwxa.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 mass of the string is increased to 2m, with ns /dx. p*w*i1jpg7t/pq+ar ooo change in length?

  A string of mass m and yfi wf5c2fk3foh *u 9*length L is under tension T. The speed of a wave in the string is v. What will be the speed of a wa2 f f u3ihy*kwfo5*f9cve 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 e gc2q93cfq- quak:* gtension T. The speed of a wave in the string q9a fecqg3 k2-:guq* cis v. 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 travels through z7ksy ) +vmu,hthe Earth, the relative motion betw k sz)mv,+hyu7een the S wave and the particles is

  In seismology, the P wave is asb )my0klgoh/ ;vuk .itj )/o2 longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the pj2vgy . kiu )0mlt sh)b//o;okarticles is

  The intensity of a wavr 7ck63t/u macpe 6*k9vt3l r 8fw.gcve is

  A wave pulse traveling to the right along a thinzb,6/job1ch;7wc iyr2rex i; cord reaches a discontinuity where xbbir2 ;c,i/j1wez hy;c7 6ro 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 othtastv/r+:3; y xr58 nj8u3drrk) rj zher on a string, one is traveling toward the right and the other toward the left. At the point that td+t3 y8h5z8 jva r:kxu)rj3;/tsrnr rhey occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling t6ca+s-i, ebi noward the right has a positive amplitude, while the one trabn iasi6,e-c+ veling 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 both ends, occurs whe9cdce6aujl7aa g*-g+ n

  If one doubles the tension in a violin string, thbo3miv58,btt e fundamental frequency of that string will increase by a ,b oim8ttb5v3 factor of

  What is the spring constant of a spring that sb( o9svr6u2u0eta z)ntretches 2.00 cm when a mass of 0.600 kg is su69tsb2uzea)0on ( r vuspended from it?

  A mass is attached to a spring of spring constant 60 N/m aloti./y(l b ldu: fco4h*ng a horizontal, frictionless surface. The spring is initially stre4bfloi(uly. th/c:d* tched 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 sprin mdf(6dm3 af7tg 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 is6tf f(a mmd3d7 oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along hzlqdjcu 84kcr 1yhi6.t2i19 a horizontal, frictionless surface. The spring is initially stretched b8cui.jtqch19 d2 4k6hiy 1 lrzy 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 undergoes SHM. It goes through 10f 0dfucr;ag+t40a*5 xkc wo; b complete oscillations in 5.0 s. What istagf4wu; *cofkx+c0;05bda r the period?

  A mass vibrates back and forth from the free endncw o 74myg4)d of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy o 4o7ng)d 4wycmf this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring ofb 5ot wb1ko/k1 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. What is the total energy of ttkw kbo1 /51obhe system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this tim6f744l udqe5t-g rz/073cf tuq afm ive. The mass is cut in half, and the system is again set in motion with5iz /qd qfle7auvft063m 4 7-ctu gf4r amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of sw.r k,w 5e)p4y4ewdsu oy;o6opring 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. What is the amplitude yod o.wrpee4 54yu6,)swk ow; of vibration?

  A 0.50-kg mass is attachel.7yveqb+;pi7gc 7cp d to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and 7;peb cily+pq c7.7vghas 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 end of a horizontal spring of spring constmm 5.s9. 1u)enq yxdxtant 50 N/m and set intmx myqdte.x59n) .u s1o 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 atta;ttg x00*4l53pjbs cb*g txsc )oakx4ched to the end of a horizontal spring of spring constant 50 N/m and set into simple g x txg*obas)t;30xs*4c50tplbkj 4 charmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and fow dhx9g 9g5im6u whrybh:1:y 5rth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetich6gy :9i u9w 1hxr5m5d:wbygh energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 coljt +3s jh/lxb;,ab; m from its equilibrium position and released. A frequency of 4.0 Hz is observed. Wha3+j sobl/;, t;bl hxjat 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 Niy qe(/bv-*sv /m. The object is di /-q(vi esybv*splaced 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 constans 9 gah:tq0s:wt 10 N/m. The object is displac9has:q w: t0gsed 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 Nl+qe butu.0t +v7oznc5ri, xo2 oz-dq6 g47qw/m, displaced slightly from its equilibrium position, and released. What is the frequencyo-zdxeo2 wit0og7 5l6 +.4tcbqz v qunu7 q+r, of its vibration?

  A mass is attached to a sprtp r ,1azq;swca-.;ajph1 yi5ing. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 atsy zc5wj, a1 a;rhppi.1-q ;cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates wi6 .flzj,uisk, th amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with a6,j.usl kz, ifmplitude 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. 9b4mt4 zqkzmwx,qg:a v)ms+ p44ybk *In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.04mvzq:bq9s y*+xgz4 bk )at ,w4mkm4 p cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium thehuh;(2e)rg+ iss1lw )q /qeys mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released fsr2+w ge(s))1qie l/uhyh s;q rom rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass an5j1x8 hflaf(vea0 6 stretches the spring 2.0 cm downward. The mass is then pulle(fhae8j a f1 56nlx0vad 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 positio e2yr:i84kyi br6:p7t dgux laih58 -l7tndt 1n versus time equt g: 6:lnb8d1at t8li p7hu 2iykriy5xrd7e -4ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following po*h5/ 3 wheb(j0s hkvd,s6wt bysition versus time equatioeh tydwvshb (3s*5,jkh0/6bw n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time b8y vn4uxl 9qh2; lg1aequatg xu l;89hn1a l4bq2yvion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple hary bb 4v 8pkn:7pczso441hma/ymonic motion according to th :b/cbya ovz7h4k8n 41s4myppe 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 av8f(q1vc/vm 20.0 N/m oscillates on a horizontal, frictionless track. At m c/ (vf8qav1vt= 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 xq3i- f k 2a.k+(ntcmrqmgh 93 3ci1nss. (a) What are its frequency and period on Eai 3cthnkn q93im+sfr 2q-1gk (x3c.marth?

  A 3.00-kg pendulum is 28.84 m lonv1.ot:bd3x- +0fy9j nm rdhfn g. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lengtck*sq56ma s- wryzwz(( i;nw7h?

  The pendulum of a grandfather clock is 1.0 m long. What istj /lvx1; wu4ly)gmc, its period on the Earx;yuc/ ),4tmgjw llv 1th?

  The pendulum of a grandfather clock is 1.0 m long. What is its period onkbc9-a p9 lim9 the Moon wher99pl- bmka ci9e the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a masslesstbs7u,ta.(vh stringu.vs,(bta h7t . 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 sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g w.xopqs*79y 0n,u /yf po ke4vmass has initial angular displacement of 8.0e. It oscillatefkup49 e7 o/ 0s*pyv.yxn,oqws 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 wc; 2pa; pgkz*jl+up9r ave at a given time. The frequency of the wave is 120 Hz. What is tkpl2p *prc9;; gau+jz he amplitude?

  Figure 11-2 is a "snapshot" of a wave at a g470b47hgtm;e plwrr miven time. The frequency of the wave is 120 Hz.e4rmbr0;7tl w7 4g hpm What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given t*s)7c 1tlh flcime. The frequency of the wave is 120 Hz. What is the 7*clf) csl1th wave speed?

  What is the frequency of a wave whiclqu4mo a,v :2ch has a period of 6.00 ms?

  What is the period of a waves87 6b5qb k-c iv:xdkr with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency4cu dad3 k +zsfvpcy .2m14;xn of 12 Hz and a wavelength of 3.0 mfdv kxs3cundcp14 yz+.;24am?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frr7f 7ak;du/bx)5ikt tl0 /pfdequency of 12 Hzkrf5lxbk/u7 d;) t 7ifd t/ap0?

  What is the frequency of a 2 ( a;kvns-zdhiy xt3*1.5 m wave traveling at 1400 m/s?

  A piano string of linear mass dens 4h5i70-tnn 5zsiuvnsity 0.0050 kg/m is under a tension of 1350 N. What is the wave 0 zii -h5nvt snu5n4s7speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. Wh1 jcdpdofa)4k70 ,vl- zu: + zzvmix;fat is the velocity o:zd+x;14vk0iz l-a ujcmvzpdf7 f ),of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m isfgr0gmqz,pc98938vt m 07pl yzv-nah traveling down a 500 m long wire whose tot c ag387vqz0z8g0-pmmvr9f,ntyp 9 hlal 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 propagation of a transverse wave on a 2.0-m long stru38 (sqpywej;ing fixed at both ends is 200 m/s. Which one of the w(3 euqy;pjs8 following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequaz0lv +q3 /wv j1pv8sikl;x0yency of 500 Hz, which one of the following frequencies can set the st8jla k3/v1 v qv ;ziyp0l+xsw0ring into resonant vibration?

  A stretched string is observed to have four equal segq,.7hibyb (b m)1t0t v avc1fvments in a standing wave driven at a frequency of 480 Hz.7y1vb cm.vb qt(,)1b 0hvfati What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrated9 6/u0/bahz y c5b o7e--fiiy sg9egqs at a frequency of 12 Hz with a standing transvey/zs -iqhi- ceg96yu/95gbdo7 ebf0arse wave pattern containing 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 twhsp/yga .l s- bqd-/q3 liz15ension of 20 N. What should its length be if its dq / p 5-3sw/is1lhbql-yaz .gfundamental resonance frequency is 220 Hz?

  Find the first three haze8yy.nz 7 - j7wf7pzfbru3.prmonics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension u-8zw 377r.jzznpf ypbfe y7. of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vis.5.s5m 1w bnlf1 lr zmxpc59mbrates at a frequency of 85 Hz, a standing zxc ml51.s15n9m .blrp5mwfswave 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.