The time for one cycle of a periodic process is called tf0z2pb0rj.y;k d v2em he

  For a periodic process, the number of cycles per unit time is cak,rfl0un2z7bv7arse3 8chec9 - .pfolled the

  For vibrational motion, the maximum dio c r.xwyamw6:m rn khm(zwub)p;*.;;splacement from the equilibrium point is cmrnr.;c wub a. o)(: ;6wmxkwm;* phzyalled the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacementlh8(ljx9o/ q zwxw.(ksn d/o1 from equilibrium, its instan /xhl1(wq 9d8/xol.k(snwo zjtaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through a5tvwj+0x, v(wy (udk the equilibrium positkw +w,juv(xdav ( t05yion, its instantaneous velocity

  A mass on a spring undergoes SHM. When the roq/4 xqt/ etph*a hp p:14yh7mass is at maximum displacement from equilibrium1t qopeh: qh //xyr*p47t ah4p, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points A 7s0ai w2xsz5 yand B. Where is the mass 0 5is7x2yswza located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betwexhegg2 vcny-n 8b6a l)f/8c k2en points A and B. Where is tckx yevc6/f8 n) g l2ab2-gnh8he mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spyq4/ pyig ./x2mb ,vmlring and bobs up and down between points A and B. Where is the mass located when its potential energy is qvx4ib/ 2ymlp .gy ,m/a minimum?

  A mass is attached to a vertical spring and bobt(y7v8:+wvgapb.8wcgc t0ca ws;* dhs up and down between points A and B. Where is the masvv g b+c(878a*y w ;g wdw0tac.hsct:ps located when its potential energy is a maximum?

  Doubling only the amplitude of a vibratitl0 )v82 lsf.s v-cwnjng mass-and-spring system produces what eff0 svvsll.) t82-jcnwfect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring systetl l* d:62v:lo 3.b in2wpt(wdthx0fi m produces what effect on the system's mechanido: vld 0lf hx6:ptw.w* ti23l2btin(cal energy?

  Doubling only the spring constant of a vibrating mass-and-springm) h r.kn5pcc.f 2ed(e system produces what effect on the system's mechanical energyce )c(nrd2.fhkmpe . 5?

  A mass oscillates on the end of a spring, both on Eagq6jc-m g 1b xsm2 oa68do,b:prth and on the Moon. Where is the period the greao2,asgo6d- 1cgbx pmm6:bq8 jtest?

  Increasing the spring constant k of a mass-and-spring system causes whati5bej3 :s zm0b kind of change in tzj 3e bmi5b0:she 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 lbbbbg/j 7j8h;od0/u change in the resonant frequency of thb8b;7jjblh0 d/g b/uoe system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sph6k/ x 9j1o*w zsk/fqnring system causes what kind of change in the resonant frequency of the system? (Assume no other changkqx9w/z/sj1k on*fh 6es 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 of lengthh) gqc*qt w0;sb9mw+gfz+g9k L. For this system, when undergoing small ow9bg*;fk zg m0qq t+wc9gs)+h scillations

  When the mass of a simple pendulum is tripled, the lyszu n, 2t r/g484lb;dpn)nftime required for one complete vibratin ,rf sln/buy4n ) 42;8dztglpon

  Both pendulum A and B are 3.0 m long. The period of A idnrl p5 zig8*t zd-5t8s T. Pendulum A is twice a-d trzln8 pt*gdiz 585s heavy as pendulum B. What is the period of B?

  When the length of a simple pendu s.7llx ,e+8 .fqbjnep+k moa7lum is tripled, the time for one complete vibration increases b ,bq n7aef+j.m7.oesk+ p8xll y a factor of

  What happens to a simple pendulum's frequency if both its length anao4k 17mwz v)pd mass are incw )vk1 aozm47preased?

  Simple pendulum A swings back and forth at twice the frequency of simple pendpip9ld(w6cu wm +tp)4 ulum B. Which statement)(i6ctw4udpl +wmp9 p is correct?

  If you take a given pendulum to the Moon, where the accey wb. sovn e:di w7 /8k3*/m0va(eu1l6ifljmnleration of gravity is less than on Earth,n:m13/jyde80/ kuiwilaf ms* vw7 on.blv(e 6 the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 repreaxuz9k)a u* n- 4xi:niiav5uziq934m0hrz 4bsents

  Curve B in Fig. 11-1 repr7y2q9d;k 4m y-noupu xesents

  Curve C in Fig. 11-1 rep u:t(m. woa0( :ej9m su8ky (bjdeoosnr)y*e+resents

  For a forced vibrationqd jh0.9:;d0txyclnb , the amplitude of vibration is found to depend on the

  In a wave, the maximum displgy qsj+ cb3.4racement of points of the wave from equilibrium is called the wave'+q4ry.gc b3js s

  The distance between succcw*dj-cc 7w9aw-f h; xessive crests on a wave is called the wave's

  The number of crests of a wave passing a point pmi s8iak:yx ru-6-y6ker unit time is called the wave'sxy-66 yisk-8:iakm ru

  For a wave, the freq)v hfq w9 5u0rf5.tnkyuency times the wavelength is the wave's

  The frequency of a wave increases. What happens t3z)v odajze/8 , s k mabng0e)y3x-a-co the distance between successive crests if the speed rema )/g aye,znz0vs-3dae3 k m)x8joac- bins constant?

  A wave moves on a stri zz . wthf1+y0.xz(vhdng with wavelength l and frequency f. A second wave on the same string has wavelength 0 (zwhv .zz.hy+fxt 1d2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. A 8w l4 (ke3cvk p,pp/dw :y8qtgstanding wave is set up. Which of the k8gt:/yp4ke (wd 38qpp ,cvlwfollowing is true?

  A string of mass m and length L is under tension qlcj8pc; 1o5+5k 0au cek e dq3db3p::d5 txilT. 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 tl p8 5iuxp jce:1:;d5+lkqcc3a0 kb oqd3dt5ehe string is increased to 2m, with no change in length?

  A string of mass m and length L is under t7( l8q6ikjt ;nsiku i,ension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the lei n,l86iku qtk(i7js ;ngth is increased to 2L, with no change in mass?

  A string of mass m and le ;r/jb/v kvjr,ngth L is under tension T. The speed of a wave in the string is v. What will be the speed of a wavevb /k,rv;jr/j in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels throx1wzt f*s3 ,fough the Earth,f13oz sw* fxt, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wavkjs*+rq v40xj e. As a P wave travels through the Earth, the relativ*0s4+vkj qx jre motion between the P wave and the particles is

  The intensity of a wave is+(akvkqe e7ll n1r m,.

  A wave pulse traveling to the rie(x* nixm,,amf *4asy ght along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmittedf a x(,*mi,sy*naxem4 pulses?

  Two wave pulses with equal positive amplitudes pasa31h3pjn6fyoe f-igg0z(w )hs each other on a string, one is traveling toward the right and the other toward the left. Atig0h6fegj w3f (1na-zhyp3)o the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one o37s-8.) hhwxgeg -vp7txpljtraveling toward 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 occupy the same region3xv-ogl7-h.hs p p xw7 gt)je8 of space at the same time

  Resonance in a system, suchnm m8u8-dr 0t-nxj s+jkl1ugc,,7q rx as a string fixed at both ends, occurs when

  If one doubles the tension in a :cl:n 6ot-izs violin string, the fundamental frequency of that stringi6:ts n lzoc-: will increase by a factor of

  What is the spring constant of a spring that stre8x f2mj66nfsjtches 2.00 cm when a mass of 0.600 kg is suspended from itsmn xjf26 8f6j?

  A mass is attached to a spring of spring cons1ax 9cqq cn ,chxc*z 7/cpjz *1cu87rztant 60 N/m along a horizontal, frictionless surface. The spring is initially stretche7 8zcznccq zu1* cj/cp q1xxc7rh 9a*,d 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 constand, ,dxxejic2o s.r2 6et 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 godsej,ix c6,2xod2 er. back to its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m j 8 5ynr7eygdrmwc4lf)j.3o ui6,( kkw+s3 y zalong 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 frequencyifr y.d7e wwsrgo (j3kz 5lj4,)+u3 nmckyy68 of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complh 6- t,;s -)kfnevadoaete oscillations in 5a)a,ndkeoh-t - vf6;s.0 s. What is the period?

  A mass vibrates back and forth from the free end of an ideal sk *: smn y4mwbiute v9df78s.5joay+1 pring of spring constant 20 N/m with an amplitude of 0. d+9:*jtv sbmu5o fekym14i n8.aw7ys30 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 of,gfu-p o: ok, 3gc 49zr6sghaz spring constant 20 N/m along a horizontal, frictionless surface. To3rg4:g, u zhog, a fz-9ks6cphe 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 with amplitude of 4 cm. The 0y prca9n v4x0/wkfm 2energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy of the systemvf/ax4n9kw2y0r 0mc p now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m g(4+ gwffa 3wxewf,1e along a horizontal, frictionless surface. The object exfwawefw(,fg g 43+1 oscillates in simple harmonic 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 of spring constant i9swd 34+yu,* axh cnx20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion aa 9+s4*n3 wydhxi, cxund 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 horizontpgq28i+d v 6ukal spring of spring constant 50 N/m and svquk g8ip2d+6et into 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 attachedxe-kg6n(r7ajdpz *, 3/r1u beyol s 2t to the end of a horizontal spring of spring constant 50 N63a-rjn,rt ld2eos7e1gx u /bpk(z y*/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 forth from im* 1e,sk3qx0h uxp97lc5k apthe free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m3h 1,lp57ukx0ipqs *mecxa k9 . What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-andf6du67t+r. )o fvz sk+jg o;ulau a)i9hv.ku7-spring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency wouz+ujhvi9 6vu f aguk )7lku .6osodf r).a+;7tld 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 /i q5 1vq9a zswc:5eo/1owfptN/m. The object ispsqoa:v ioq9 wz// et 5c1f51w displaced 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 sif7 vzy+o.s 4cpring constant 10 N/m. The object isvzi+4o7. sfc y displaced 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/m, 8hgh(j2nqj y3displaced slightly from its equilibrium q gjynh(2j h38position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency ofpi04: yx t/zxca *ng.s 1.27 Hz when displaced a distance of .ax/i sp xcz0tgn4:*y 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 springs. Mass A vibrated:oi5. 7.lymm 1lt mips with amplitude of 8.0 cm :d 1p.miy7m5 i mlot.lat 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. In equilibrium ,x;) t ad )ziwds3 x)uguhfaooy:o )+2the mass stretches the spring 2.0 cm downward. The mass is then pullotz:a,w2xo d )+ )y;xsh) oguifdu a3)ed 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. In equilibrium the mass streb5*+gam5oo/6 okc n6y v.dm grtches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the total energy of the /m5ydb.6onmg *6vkca oo5r+ gsystem.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass std a( j(+zk/ozw8cxxb;j8l 32qyq kgb9 retches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and rel( j yxz2k9xg8+;/dk qa3czbbwoq(8jl eased from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the follq z9xz/rla5n;s* i+9fudn f0uowing position versus time equationfn5z 0q9/rfulxads+9n ;ui *z:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion ob;c m,wf kw8lgp.9,byv eys the following position versus time equ,gw.pyb;k,mf l9c8wvation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motiontr/c xc 3a/,cm obeys the following position versus time equatt,maxcc3 /rc/ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion ac90 mndah*4iu cne08jwcordiwci e9hdn4aj8m 0 n0u*ng to 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 constant of 20.0 N/m oscillat 73 9suqw6s/mh6jvxwg es 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 cm.)/mx3 w 9 jsgwhsq667vu
(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 s. (a) What aq29to0w.jcqqc g:m)3o rn8klre its frequency and period oq9nk8 3qrtwqcm.j02 o)g lc:on Earth?

  A 3.00-kg pendulum is 28.84 m long3zpsc z5 c6q1j. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What i109 o(v9wfg,ssgu; zda.ro ppxjhw : (s its length?

  The pendulum of a grandfather clock is 1.0 m lot4 5cv(ifibm( ng. What is its period on the Earth?4cfiv t (5bm(i

  The pendulum of a grandfather clock is 1.0 m long. What is its peri 8)aew91z*k(hll b yfu8lo6v/avgq o8od on the Moon where the acceleration due to grylg/1lo w o(z* h8u88lka6av)9evb fqavity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless (ua 5 h(gsg1lbas ndka r+/j/2string. 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 att 15/(askdagg/b+ ul2r j(sanhached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacement of tz q7x0.v.orq 8.0e. It oscillates with a periodv q.q otx.r7z0 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 give:,jejh;/(zg do kyng, ::j p,wj/qrhpn time. The frequency of the wave is 120 Hz. What is the amplit/ n or:jjp;j/,dqg ,wp(kjzg ,yh::e hude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenc0 t8wtlz3x5 4aigkk 6a j8qs4cy of the wave is 120a6 iazgkxkct03 t 85 448ljswq Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" ofjtoj -1 ol:n8f a wave at a given time. The frequency of the wave is 120 Hz. Wh-1tofl:8jnjo at is the wave speed?

  What is the frequency of a wavn+ r m0quk.(rue which has a period of 6.00 ms?

  What is the period of .q/b qpp1w* a yzkq-:oa wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelq1eiy 2 yrud vfl88t14ength of 3.0 iryq8v1ty dfelu2481 m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a freqwfzr/ +/ swkin)k)4 p81vqf truency of 12 H /w tfs/kz41pn)vq) w rrif8k+z?

  What is the frequency of a 2.5 m wave travelirpfdwz*5o89 v cw87sxng at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension 2evdkk8 g0s99/jhi2 0krsoz v*ja ju-of 1350 N. What*iezj9 uk2o v8s akjd-0v k9 0/gsrjh2 is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. 9anpkx.myrs*h,ub( h9 /r3p kWhat is the velocity rp*h93a .khp /k9y( bmrx,nusof propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling-zl 1x6m9uc 8 4akrin9)glzfj down a 500 m long wire whose total mass9-f 8) rz96lmcjxgn kz ua4il1 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 longs6a0p6 1ia af-mz*+g z ehec:x string fixed at both ends is 200 m/s. - se1:a6a6acehp0+ fx *imzgz Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whicttw.+ 61tk.:xh l d9qjai e-ogh one of the following frequencies can sewglt ohetai-6:t1x +q9j..dk t the string into resonant vibration?

  A stretched string is observed to have four eac4zex73 0cbw qual segments in a standing wave driven at a frequena bc e4zwxc073cy 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 frequency of 12n rk /xg* e+fw3z.jfi5 9ykv;u Hz with a standing tryn+.jk zg5f /ef3uxv irk ;9*wansverse 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 tension of 20 N. What shw d.)3n8e h/jbqk2 uhwil6 (zdould its length be if its fu3ewnuj)(86hz .wl2 db qkhd/i ndamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2 mg0spz ai6wr90fp),s.00 g/m and lrgpm 0 6p,sas90wf)izength 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both endsn)kjl;n4lpzb( : tog9m8 frl x- v(91y hteu5w. When the string vibrates at a frequency of 85 Hz, a standing wave with five loo9;ejlnn zl9yo-t) r( 5:vk(lhutx48w1 mpfbgps 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.