The time for one cycle of a periodic pr lbjs4;swbom 16wk7b9 h;sbb (ocess is called the

  For a periodic process, the number of cycles per unit time is called6/w4lj(i* t bnof/gh ff;sdpwhi88m * the

  For vibrational motion, theon wiu)*,kom 8 maximum displacement from the equilibrium point is ca )k,muow in8o*lled the

  A mass on a spring undergoes SHM. When the mass is at its maximum displac ro :;flf1in:*dvv ug)ement from equilibrium, lvnf:i)1f:;*rov g du its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equ3xp0zzv; bo w:bp-+axb k6 jh+ilibrium position, its instantaneous velocitz 6kp;zhaxj+v:xb 30-bo +pw by

  A mass on a spring undergoes SHM. When thb py0n; ni. 6t/boid)xe mass is at maximum displacement from equilibrium, t.dxn0i i b;on b)y/p6its instantaneous acceleration

  A mass is attached to a vertical spring and bobs3zzwlw/8mpm3;m q t;q3nrqg1 up and down between points A and B. Where is the mass located whg;mqz 1m3lq8twz /q rm3;p 3wnen its kinetic energy is a minimum?

  A mass is attached to a vertical sb)e1uax 1e:e cpring and bobs up and down between points A and B. We1bxee) ca :u1here is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring a,axr+syxstp +o po/31 nd bobs up and down between points A and B. Where is the mass loca+o13s,/ xppao+t yrsx ted when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betweenn i(y;g qte0z+ points A and B. Where is the mass locnt;yz0eigq( + ated when its potential energy is a maximum?

  Doubling only the amplitude of a vib-ln dx w rv 4augol)3) lo*s/xvt9x+e)rating mass-and-spring system produces what effect on the system's mechan /l)s+llouxwe xaog3tn- vv *49)rd )xical energy?

  Doubling only the mass of a vibrating mass-and-spring r.dyqo :,y4/,ideoq vop i+c. system produces what effec,:io+.oq dve,p.yod cy ir/q4 t on the system's mechanical energy?

  Doubling only the spring constant of a vibrating6kzkm b 2zwm*1dk8 i)m mass-and-spring system produces what effect on the 8zkkk )im12zmdb 6m*w system's mechanical energy?

  A mass oscillates on the end2y.v:1 sgdats of a spring, both on Earth and on the Moon. Where is thet ys2g:avs1d . period the greatest?

  Increasing the spring constant k of a mass-andizayl4y4p )+5bqhg c;br. a4c1 w:xz blx au41-spring system causes what kind of change in the resonant frequency of th.bp4gy+:z1 ) a5yx1rlwhz4lb4 axq;aicuc4b e system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes ( -c6. odv.xblj.qd t p,*mvkbwhat kind of change in the resonant frequency of the system? (Assume no change in the sb.dxv(-q. vdk*b6t c .mp,jloystem's spring constant k.)

  Increasing the amplitude of a mass-and-spring ct;m/vopu5u3system causes what kind of change in the resonant frequency of the spu 3 t;m5ucv/oystem? (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 weightless string ofmw cf n6j*2:;gewy6u x length L. For this system, when undergoing sm*:jcyg un;6 wwx2e6mfall oscillations

  When the mass of a simple penduldx bz:7-ie og-um is tripled, the time required for one complete o-zd-gx 7ib:evibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is ttno1dh0zx w g0b6 .4zkwice as heavy as pendulum B. What is thn1 6tdo. zg400zkxwb he period of B?

  When the length of a simple pendulum is triple a,4yo +xsvbo2d, the time for one complete vibrat+ax 4,obyso2v ion increases by a factor of

  What happens to a simple pendulum's frequency if both i5pr/zgciv7 h5 uweowy 255l q+ts length and mass are incr555l epzi+qw7 ychug/wov5 2reased?

  Simple pendulum A swings back and forth at twice the frequency of / cikm rwkd-.(4q.aqanh2 6dhsimple pendulum B. Which stkawqdkin r -(ah4.d.m6cq2 /h atement is correct?

  If you take a given pendulum to the Moon, where the acce)m fm,*6,x+ki1f1t r amyg akvleration of gravity is less than on Earth, the resonant frequency of the pendulu*1,ftx ,ryka +1mma)g imkv6fm will

  Curve A in Fig. 11-1 repr rpjo ,v.02fqtesents

  Curve B in Fig. 11-1 repr hce6 p9x+)yvyesents

  Curve C in Fig. 11-1 representj h etolc9u)npya8 15xn.2+fr s

  For a forced vibration, the amplitude of vibration is found to depend on t6g5v*1v2lt yc k 5 dtrfg3qr6the

  In a wave, the maximum displacement of pointsyi,7n8 /rw;f+beu h ty of the wave from equilibrium is called ,u/r7ybiwy ;hn t8 ef+the wave's

  The distance between successive;6p q(;dn/zvujepo0t crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time6fe;q8hlahx 3i/i, j; f5eivd is called the wave's;h5eex6jaldf hq i /;v8fi, 3i

  For a wave, the frequency times the wavelength kc7fh2 mn;0tz is the wave's

  The frequency of a wave increases. What happens to the distanc86 uarp 0ix. u9o;fg0b+pym /urj*rl ie between successive cre8gurupx/a +;0iu jp l .rb0m yrof*69ists if the speed remains constant?

  A wave moves on a string with wavele r7yekm m)dmp/c-) udn pnp4 aw)b5q75ngth l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequenc ncpmdmq754 d n-e ppwy5 a/7r)bum))ky of the second wave?

  Consider a traveling wave on a strinu y,w4 :tbezf3g of length L, mass M, and tension T. A standing wave is set up. Which of the followy3f be 4tw:uz,ing is true?

  A string of mass m and length L is under tension T0 bnt tz m;z;f-1mfmgy6mby73. The speed of a wave in the string is v. What will be the speed of a wave in the string if the m1ymf ymt0-nzm bb;7 m;tg6zf3ass of the string is increased to 2m, with no change in length?

  A string of mass m and length L ijv icvgeyxyzwns d-l 605 +q,:5c.tz :s under 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 length i tly0 , y:xz6+:c5vns-wgiqev5j cz d.s increased to 2L, with no change in mass?

  A string of mass m and length L is under tensi.z/su voh d8)vvj99q bon T. The speed of a wave in the string is v. What will be the speed of a wave in the strs9bvzoq)u9 d8.v hvj /ing if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. p.3lia+hkk,c n )1b2 pg iw9cvjl2b-e As an S wave travels through the Earth, the relative motion between the S wave and the particles isn+,pl2lkwic2) pgchk1 39iab j veb.-

  In seismology, the P wave is a longitudinal wave.;faonns 2l .9w As a P wave travels through thef wno2;nas9 l. Earth, the relative motion between the P wave and the particles is

  The intensity of a wavef ui32 i04cuka is

  A wave pulse traveling to the right along a thin cord reaches a discona2 y hk7hk-ql3tinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted hqlk 7y2ahk3- pulses?

  Two wave pulses with equal positive amplitudes pad6 mqbco/; m0*ex-yr iss each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region-bmo;r m q*yc/x 06ide of space at the same time

  Two wave pulses pass each other on a string. The2r, ,d f* m(n /veccraf,bmwlq*0q3af one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative directif(qrvmfbrmn l*0,cf2 a,* ew/,cq d3aon. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed mga*r r rn7 z//mzyw-b2ook,4at both ends, occurs when

  If one doubles the tensionk516tkyp bld) in a violin string, the fundamental frequency of that string will increask)6dtb51py l ke by a factor of

  What is the spring constant of a spring that stretches 2.00 cmc lm(2zndi-b 5roo/* m when a mass of 0.600 kg is susp b/mm*5 (zi-locndro2ended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal,xawdd::53uf t frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takesax::d 3u5 fwtd the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached tomxeliu) g5,.t a spring 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 posi,tlig5m.) exu tion when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of springy ckg:vk8l/;s 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 gkk;:ly v/sg8 co. 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 undergoesl b2-q exhqg:3 SHM. It goes through 10 complete oscillations in 5.e q-2l3b hx:gq0 s. What is the period?

  A mass vibrates back and for*bq cgnhol8 fr0sf+3,th from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m from gsc+q*florbhf80 n, 3its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horiz ,xqojfs:8y 5oontal, frictionless surface. The object oscillates in simple harmonic motion and haoj o,qx5yf: 8ss 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 8.0 J at tt-j zgpro*9(p his time. The mass is cut in half, and tto pr(g*9pz -jhe 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 attacht w.mn lr-l3-ked 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 1.5 m/s at the equilibrium position. What is the amplitude of vibratiol 3m-ltk.n w-rn?

  A 0.50-kg mass is attached to a sp0ygo8gtepl.5yek, dy x)q 6(sring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonicldy q kye.t,sp )y5go6(x8 g0e motion 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 end of a horizontal spring of spring constaha(a(uvqtsx tc-yi6 86e y h4a9h6w s-nt 50 N/m and set into simpleavy96sx 8y- tu(hh(-4 shaiecw6a6t q 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 horizontal spring of spring constmw*k 4/mj:y+ 4y7mz lg5e d+cjwv- p)xxt2 wajant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total my y e4+mz/-dkm:pw x5gc j7w)vtmlj+jx*w42aechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring6i1x;v38g i ddh d1ylh of spring constant 20.0 N/m wil1;h1gi3y d id8v6xhdth an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring syst.jk8meua*7ewi(/5 swbt rowx.mc/q/ em is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is obs*iwo8qwkcx emw/j/.u 5 b7 /a(tr.smeerved. 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/m. The objez(m.t;/ pd nzvh wws9+ct is 9;(+ms p.wwvnhd/ ztzdisplaced 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 spriosaz 2xezot;h2 t 2aa;3pbs;*wsk+kil*3vi+ng constant 10 N/m. The object is displaced oastok*k s*w2hp zi+;ae2ts2i3;a z lx+v;b3by
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 5a:) jcev wd 3e zzr5:w-jhju318 N/m, displaced slightly from its equil:)z 5:jcwjvhd353-e eaz jurwibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a be8 mh)lo p 7tsjqv 5bs8:qr(w:2*wabspring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilib8 :l(*bqho ws p8vb:5m s je)wb7aqtr2rium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to di-b kgi 4gyvyg,:vagx3z y1.c2fferent springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at a frequexvgkay1cvy 2i4by-:zgg3. g , ncy 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 m di(/g0+j7o q zly xu:j10jxlmass stretches the spring 2.0 cm downwm lu(/q0ox+i0 y:jld zjg7 xj1ard. 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 spring. ( znwo(xot c7+In equilibrium the mass stretches the spring 2.0 cm doo+7t( zn(cxwownward. The mass is then pulled 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 spring. In equilibrium the m v, g+iznwv1 xqvox 55p:gy.+pass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance ov py,+w:ovp5gg5 nv1x.qix+zf 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus time equ o4vtk 3* 2hsrdp57vinatiokvotn32 4v7hp rd*5isn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic 8fddgosij d- eqaghgb- h7- p21-ov )5motion obeys the following position versus time equ-h7sd-5gde bq -p 2 8i ojf1avgdh)-goation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time eth)8 v y/8gvmzts b(7rquationsr tb /myvv8ht7(z8)g :
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring iz0g0 :azwi j4executes simple harmonic motion according to the z0azijgw4 i0: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 t7gz;qd r qzlau2fx/z4)vlc 9*o spring with a force constant 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 1*dzu /z)fcq7z v;q4x9 gr 2lla0.00 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 ryp1rqhp3+j.* bv c *ocomplete swings in 8.0 s. (a) What are its frequency and period p 1c rpyqhv or*jb+3*.on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is i0ek(.*uwq1(vb k xcut ts period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its len/;dn p bjgd1fo2eo+2egth?

  The pendulum of a grandfather clock is 4 l73 2e)crr(eg;b7 ptf pemrt1.0 m long. What is its period on the Eateebglr4;p()rc mp7rt 37 2 efrth?

  The pendulum of a gr d fp*2oc2q1/ogzzt l7andfather clock is 1.0 m long. What is its period on the Moon where the acp2f2 zd7*zq1/olg oct celeration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached t)+ sjuc7t cd3h1rko3gk bpf+ 8o 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 sphere)8)jf1opgkbtck37r+3 uh d c +s had been attached to the string instead?

A simple pendulum consisting of a 20-g mwl7(ps .0+5fg mtndex ass has initial angular displacement of xf+ n w.mt5l7d0 p(egs8.0e. 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. The frequency of the wa50rm5z3 jd.lugf,l s+ wryr ig6a5ji :s5q3plve is 12lgg5+,zpr5ljam6qs5fr u y.:wi30j r53ldsi0 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of *x4adoe 3 )t6gfuh1rm6wt y/rnr 5xy8a wave at a given time. The frequency of the wave is 120 Hz. What is the wavelength gh51r r)wuyer*4o /fa8tmnt6xx3dy6 ?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenc-e)igar -,cju y of the wave is 120 Hz. What is irj,ac--)ug e the wave speed?

  What is the frequency of a wav+ h1/zyjzyhqbz +sgo(( jq97 be which has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500 Hz? ctc.6cq q,f(r

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of 9kr :3cqvjvz 23.0 m?c 9z3rqv2 kjv:

  What is the velocity of a wave that has a t2b8 ywf0 (tc1rzijfil ; way8s299itwavelength of 3.0 m and a frequency of 12rt1 82ywf( 9it jzslc a;9i w082fityb Hz?

  What is the frequency of a 2.5 m wave traveling as4k/w;vs o zt7t 1400 m/s?

  A piano string of linearm*/wuq 0y-q ur,sqs3q3a: apj mass density 0.0050 kg/m is under a tension of 1350 N. What is t3may ,qa/q:puq u*sq r-0w 3sjhe wave speed?

  A string of linear density 6.0 g/m ida33zpnl;rqlgkfc . qm 687x5 s under a tension of 180 N. What is the velocity of propagation of 6gq3z8mf7a.dn3lpklr; 5 c qxtransverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a .y4ooycn8wj 9ok 6nj2500 m long wire whose total4 ycj86wo.9jo2okn ny 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 +qjm wov9/9 fnlong string fixed at both ends is 200 m/s. Which one of tv /jm9 wqno+f9he following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 3 uwgl37 fkjldp/.1h f*mhm3x500 Hz, which one of the following frequencies c.f/jdllh mh33px mug w31f*7kan set the string into resonant vibration?

  A stretched string is observed wlbd:4nmqk )lf8olr;2yk8 x7 to have four equal segments in a standing wave driven at a freqok)8 qby7 fx dklml:4nw8;lr 2uency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a freque gvi87esv2 sg;)oh, kzncy of 12 Hz with a standing transverse wave pattern containing 3 loops. )v shv zg se87k2ogi,;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 ofv6na o;woo8zf yzy(; 2 yjpk1: 20 N. What should its length be if its fundamental resonance frequency is 220pvnz;; f ao6 jky:8y1wzo(2yo Hz?

  Find the first three harmonics of a string ofho.;o/gnx2 3 f:mzboa linear mass density 2.00 g/m and length 0.600 m wgom3n2:ha.o xbo;z /f hen it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When v oqw (h -kcw2f(retbd2.e2 u,the string vibrates at a frequency of 85 Hz, a standin(vc 2(w.t o-f qeeuk22hdr w,bg 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.