The time for one cycle of a periodic process is calzuer/o5 u,/ qvled the

  For a periodic process, the number of cyclwr:sdq8yaq0r()s diq.vcm dv:gk8*:c no6,jes per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium p1xdm3sr cm*glq*qj rk)g86-g oint is ca*8x rm g-rj3gdg* 1kq)lcms6qlled the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacement 6/911uuqbjy jgig1obfr6jqogyb ug9bu i/j 111om equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. Whenp0dr*nu 6x:9o7pd lgu the mass passes through the equilibrium position, its instanx 6drn pd7u 0luo*pg:9taneous velocity

  A mass on a spring underg/m *sd g cc61mizz(8sqht4sg4 oes SHM. When the mass is at maximum displacement from equilibrium, its isz cz8dg 1*g(m tsc4s4m/q6h instantaneous acceleration

  A mass is attached to a vertical s9nm re, emdz ,u1q9eb18cy6aepring and bobs up and down between points A and Bme 89 um6cnd9yere1,1beq, za. Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betwevol qscdip0vln/b7g.0 -r - )oen points A and B. Where is the mass located when d0 lr0ilqvg/ .ob c- -op7)vnsits kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betwejh7uy fl6zp//q.vme 1en points A and B. Where is the mass located when its potential energy uqf/y vzp.1j67emlh /is a minimum?

  A mass is attached to a vertical spring andx,i g7e1h m)dc bobs up and down between points A and B. Where is 1c )e7xig h,dmthe mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibra ket*gexqdx2 x7t.:zmq*.b tc )nul+3ting mass-and-spring system produces what effect on the system's mechankx: qx3n* t . u)q2ez7dct+x bet*.glmical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what effecnd;f/vr r/wpj9yv6b /t on the sn r/dfy/ r6j/v;w9bpvystem's mechanical energy?

  Doubling only the spring constt; tyx5k,( 3irpk(c d6nw /wrdeb. 4bvant of a vibrating mass-and-spring system produces wh34crkn;6 /d((rytew v.bbkd px5,wt iat effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on.)vp8ri tgzb ; Earth and on the Moon. Where is thb t .8vpgzir;)e period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes wjtoi 4jtn- g t5s3-mg;hat kind of change in the resona4 5-tttog jmin ;g-3sjnt 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 dc- )cf.jrj1e kind of change in the rec j.cj-d )1fersonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system cause36uuq b 8o3f tkb+pv+ps what kind of change in the resonanu okpbbf+3+ pv6 qt8u3t frequency of 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 (znhtqre2yv8z ).* fld4 r*rqof a mass M attached to a weightless string of length L. z2edqq*y rl.h *48rf)trn (zv For this system, when undergoing small oscillations

  When the mass of a simple pendulum i y3rl )cb,kd(hs tripled, the time required for one complete vibk ( ,3crhl)ydbration

  Both pendulum A and B are 3.0 m long. The period (x-1 v:6vb2mge bhhm hof A is T. Pendulum A is twice as heavy as pendulum B. What is the period (2vvb b mm1-6h gx:hehof B?

  When the length of a simple pendulum is tripled, the time for o-k ibh/0 h+ 8mw;bdlgkne complete vibration increases by a facdgb-miw;8/k bh+ lh0k tor of

  What happens to a simple pendulum's frequency if both its lengthacaxa1b:z 1l ub73* ya and mass are in:aayaul1c7b *za31bx creased?

  Simple pendulum A swings bax 59-ub4 (dhnbp0 htstck and forth at twice the frequency of simple pendulum B. Which sta h-btdx9hsut504bp(n tement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gra+yooqelt/o,rte ly ; f/,1g r*sg:n72wyxj;avity is less than on Eart oal/*2:,tn ;l tj +yefw ,/qgrxegroys7;o1 yh, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 rep* uvr (a1gee*aresents

  Curve B in Fig. 11-1 repressdpi s)5pj5x e,snd/1ents

  Curve C in Fig. 11-1 representsk8z 5-m batn5r

  For a forced vibration, the amplitude of vibration is foul. gg)pzfb.zei qv:w,q y,jkn ; bd3/x0-1 ytknd to depend on the

  In a wave, the maximum displacement of points of the wave from e 5m9mb hg(gb/;(qr+udsv/1;l grkwvh quilibrium is called the wav (/g59 wslqmg1hdbkv(rh b/;ru+mvg; e's

  The distance between successive crests on a wave is cal bj wql-q,.ozvcv c61+led the wave's

  The number of crests of 4x 3u *h4t9.3wfk)cajqowok 1 jqc1 wta wave passing a point per unit time is called the wave's)cqkjf 1w*wocqt91t u. h wja3xo 3k44

  For a wave, the frequency times the wavelength-k7) k-1az8t r:1 cyljq+a5q ilwdkz a is the wave's

  The frequency of a wave increases. What happens /*ea4h(jmjg fil,n t -to the distance between successive crests if the speed remn -letgfm i/h4a j,j*(ains constant?

  A wave moves on a string wi+o t y*c yuic;2:e(hfith wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is; o cc:u*+i iyf(htey2 the frequency of the second wave?

  Consider a traveling wave on el;x/yptl1d0(0a:/yrc xm no a string of length L, mass M, and tension T. A standing wave is set up. Whido:txpy00l(r / y emaxln1 c;/ch of the following is true?

  A string of mass m and lengthi1ry n*mpd-*u L is 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 mass of the string is -uid *npm r1y*increased to 2m, with no change in length?

  A string of mass m and lengrrkf,k,j y6 b 2.*poleth L is 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 is increased to 2L,*,jr.e6f kb rl,oy pk2 with no change in mass?

  A string of mass m and leng bb52pc 6gqh6i tei1;eth L is under tension T. The speed of a wave in the strin 26;1 eb tqhp6bcei5gig is v. What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wqqj)va05r p2is: 6r voave is a transverse wave. As an S wave travels through the Earth, the relative motion betwee 2 :)q0vvi rqsp5a6ojrn the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels through ttjc ek):st1 1rd;:doahe Earth, the relative motion between the P wave and the particle 1d:ekr os1j);cdt :ats is

  The intensity of a wave s3om zdx:l7:w;axqz x k7*ph4is

  A wave pulse traveling to the right along a dao. kx ssgvck m*,;*5thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orieo*masvs c;.dk,5xk *gntation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string,3fkf nggxzkq5m m(0( 7 one is traveling toward the right and the other toward the left. At the point thatg0fx7gq(m3k(5 n mkfz they occupy the same region of space at the same time

  Two wave pulses pass tuq*,myod sh . 1al)/heach other on a string. The one traveling toward the right has a positive amplitude, while the one tral h/dto q* 1m.syha)u,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, occu vmar3jelg,m5tr r;5bk 9,kw* rs when

  If one doubles the tension in a violin string, the fundamentap)qf4igowv)fn,73+ . zre qma l frequency of that string will incr)4n). wzff+qe or 3igq7, apmvease by a factor of

  What is the spring constan8 d+ z+zpt4eob z/ oihgl5zv*3t of a spring that stretches 2.00 cm when a mass of 0.600 kg is su oz8il4ptz+ /3d gzv5*b+ehozspended from it?

  A mass is attached to a spring of spring constant 60 N/lv gur) .vad)vp3z592sb :l 6g fputp2m along a horizontal, frictionless surface. The spring is initially stretcha3p.b9)2s2:ultp zdg6 v gv lr)5ufpved 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 t ;u lpbn9+q.sso a spring of spring constant 60 N/m along a horizontal, frictionless surface. The sp p+ 9lssu;bqn.ring 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 period of oscillation?

  A mass is attached to a spring of spring ccv+g uxi46jz 3 j5u k-4ngv*4jh f,gwkonstant 60 N/m along a horizontal, frictionless surface. The sprinh5+kv vj-i,gg4kj6fu cx*jwg44z 3 ung 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 oscillation?

  A mass on a spring undergoes SHM. xgoqs; 1t*;dhIt goes through 10 complete oscillations in 5.0 s. What is thed g;;q*t1 xhos period?

  A mass vibrates back and forth from the free end of an ideal ur )7(aja7sd dspring of spring consd j r)7(a7adustant 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 its equilibrium position?

  A 0.50-kg mass is attached to a spriv 41entla e 7ao(5n,apng of spring constant 20 N/m along a horizontal, 4l5an 7t 1eaeav,nop (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 the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this tihv t2;5utn/xmme. The mass is cut in half, and the system itv/x 5nh ;um2ts 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 sprimp-y rpdr 5i21ng 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 vibri1ryp2- r5dp mation?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m all b v*mya7m6g6oe rr:1ong a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the eqmoag716vb:rl*6 mey ruilibrium 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 spr8o((+ tn3dx o0socbvhing of spring constant 50 N/m and set into simple harmonic motion with an ampc(8xt oo+3sb 0n ovdh(litude 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 s pwsrsr6-z8p 9pring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy 8p p69zr -swsrof this system?

  A mass vibrates back and forth v01 vz tw/ym3dfrom the free end of an ideal spring of spring constant 20.0 N/ m1 3yvtzwvd0/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displacedzta jkx9)pg1 * 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 1g)*a9 xjkztpcm and then released?

  A 4.0-kg object is attached to a a80hqm u1q5gespring of spring constant 10 N/m. The object is displaced b5gqae8h 1 muq0y
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 N/m. gq m7 xqnlpr1z2f4 3ih)b9 m4bThe object isxp 4q2 n37hbzrbflm qm91i g4) 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, displny4p rwi0wv ct008;(udi:sd -e zzn;gaced slightly fror 0isvz:;z ;upidw ngt4c(0n dyw-e80m its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.270 :hys1kfxte2-rz vk , Hz when displaced a distance of 2.0 cm from equilibrium and released. What is t ,es -f r1z20kkvxh:tyhe maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs.9q28 yizuh zd+moi, bq4klu3 1 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 frequency of 16 Hz. How does the maxhyi9ldz boq 1uku2 +mzi,q48 3imum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass str)h21 ahwi 6lji kr;h:petches the spring 2.0 cm downward. The mass wh j1apl2hik;)ihr:6is 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. In equilibrium thev6: xls m)p-h/mbi9+lmav+yo 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 the total energy of the syssl+blyom-a 9h6)v+px /i:v mmtem.

  A 0.30-kg mass is suspended onpt1 t/m n48kybrm-5y bkp3+yt a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an addi pk 4ny-tp bmty5r8/t 1ym3bk+tional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motix*mn6fuc83 v1wu fft7on obeys the following position versus time equatixwtfu*fu 6 3f81m7ncv on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following poss,wi1y6m*+e 1 vqq sooition versus time equationmqi 1yss* ew6+o oqv1,:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following poh*np6i.ygrr k,u*-61 o(-cd5 vi2 e rrbrikoxsition versus time equ rph. r-k-v*ixr,2k1o(u d5n 6*rirbe icg6yoation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes tu3xc z+y. kjzc 32x,hkmo4z3simple harmonic motion accozzc.zx ,4 tj +3ykx u2ockm33hrding 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 force7m2ew2lc pk fk3cuqv/c2*f * *dvd7/q m*jnwv 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 cuvwfnkq32 f** *2mw vk/pmcj*cled2 / q d7vc7m. (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 s. (a) What are its frequency and -aj4gqu4 zb+co .1kh;lx xc1he ,qxu-period o-kguzxqcxjeo4hx- b 1qh+ .a4u l,1c;n Earth?

  A 3.00-kg pendulum is 28.6w z/+8-l bsle5jlbg9 nobsv)84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its :devaqjj/ /*)5 ula0aftd7m zlength?

  The pendulum of a grandfather clock is 1.0 m long. ,pr;wkk s5 ma*-j8ol s What is its period on the Ear5 oks-sl;park,8mjw * th?

  The pendulum of a grandfather clock is 1.0 m long. What is its period *z(rf7jpzyf nva4 y,- on the Moon where the acceleration due to gravity -rp zjz*7ffy4 y, (anvis only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical masm5zk 7n;fic,z s attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum;,n k57mcifzz 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 mass has initial angular displacev x)gn dwby1kmt5a563ment of 8.0e. It oscillates with a period of 3.00 s.kg1v 5n6y wb3tmd5)x a
(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 w pp-s;yiz4hg1 ave at a given time. The frequency of the wave ygh;i14pzs-p is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequencytmrbdavek)l9bt:p11 o -5b *w of the wave is 120 Hz. What is the wavelkb t lepdrabo)1bmv5:1-t*9wength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of thvwzt 9z tu9x7wdzb -b6 s)+5rb qw3f/se wave is 120 Hz. What is -79 5vf+uqzsw9sz3bbr d/ w)xbttwz6the wave speed?

  What is the frequency of a wave whicw c6 r.-d:zikoh has a period of 6.00 ms?

  What is the period of a wave wio*vnd4:li3m2fe; s qhth a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency; dmh ,tznw9he4.e sp2 of 12 Hz and a wavelength of 3.0h psn42 mhe9wd,e.zt; m?

  What is the velocity of a wave that ht 1vx0,qwz;mf as a wavelength of 3.0 m and a frequency of 12 Hz;wx z fq1v0t,m?

  What is the frequency of a cv)p +h1z9v vx2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tddq*l5 m9 pr0xe qu9e;4mp ie7ension of 1350 N. What is the wave spe0u p95p7dlqx*iemqd ; 4reem9 ed?

  A string of linear density 8itq bpuw/jb(2 6e5cl6.0 g/m is under a tension of 180 N. What is the velocity of propagation of transvelbj8i5bucp t/qe 2(w6rse waves along the string?

A wave whose wavelength is 0.500 mg ozaho,e1f+/fx4xv5 jvc.i x;qi:(o is traveling down a 500 m long wire whose totaliox f/, xa5 xi (vooe:.14jqfhg+cv; z 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.k ;am/f,eqylo, k3w n,0-m long string fixed atlm k yw/eq3, ,n,fao;k both 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 yug.yl ve9y;) 500 Hz, which one of the following frequencies can le gyv.9uy)y;set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a . rz9l/h*qutd standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave wittuz l.d/* 9rqhh five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standin za+zq3t0a q(lg transverse wave pattern containing 3 loops. Whq zz(0 laa+tq3at frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5r2gwxpm3gz *c9-6d:f +nva h7 ck6 sc0usrmp2 g/m is under a tension of 20 N. What should its lczxp d 0c: -9*fsk2c62mn+vg7s 3purrwg hm6a ength be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of4rgt8g( .acqpp :kd0n), lavi linear mass density 2.00 g/m and length 0.600 m when it is subjected4 akpp:rin)ql( gvat.c 80,g d to tension of 50.0 N.

A string of length 2.5 m is fiohez6kgbp 5d*1 8ns i*xed at both ends. When the string vibrates at a frequency o* bhe6o8d1ns*ik z gp5f 85 Hz, a standing 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.