The time for one cycle of a periodic procesfgqj(dji -;t5 s is called the

  For a periodic process, the number of cyc1;d9k 9z dwhdiles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium p5ys4jql 1zs4 4ou2h jmufug7.oint is called t4u7ol2uq js 4ym.j1uzs g5hf 4he

  A mass on a spring undergoes SHM. When the mayuksx 7-g86/ isvf)qy2 a4fs qss is at its maximum displacement from equilibrium, its instantanea)v2yig6s7 qq8f/ sskxf 4 u-yous velocity

  A mass on a spring undergoes SHM. When the mxss2 b3dm eogz5rb-/0k0fj )xi,8vgrass passes through the equilibrium ,e b5)sjk/rx0i3bdg28 zrm-vo f 0xsgposition, its instantaneous velocity

  A mass on a spring undergoes SHM. W 6wt(yy*n-lk ste ;9tvhen the mass is at maximum displacement from equilibrium, its insy(l-n k*6 wtsyet; tv9tantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down betwee1y:bfquhlb,vxjey d (6+ c *;in points A and B. Where is the mass located when it+yx( 1vfqbec6bd hl :y*;iju ,s kinetic energy is a minimum?

  A mass is attached to a vertical spring ant6o 2pskl1r.j3z;p gj 2 w.poyd bobs up and down between points A and B. Where is the mass located when i3o ;y.1pg .kjtljpz6 r wosp22ts kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and yp hfo8r5;5zmfs7v* r down between points A and B. Where is the mass located when itsz*r mf fs;y 8h5p5rov7 potential energy is a minimum?

  A mass is attached to a vertical x9cds.q:* yhy..e *n mjfjt, sspring and bobs up and down between points A and B. Where is the mass j . .f jyx:nmhqte9 sd*sy,.*clocated when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring syst11y t01l1 k dwlc7jndkem produces what effek7 dlk cnyt110j1wd1lct on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-sprijs,z2t+zd le; ng system produces what effect on the system'djzt ;s,2 lze+s mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system prob b33j8bj)p3yvb* d gcguo74kduces what effect on the 3k7gbvjbdb c*j38 )pou yg4b3 system's mechanical energy?

  A mass oscillates on the end of a spqpj5veq ri57 +ring, both on Earth and on the Moon. Where is the period the gqv qej +i55r7preatest?

  Increasing the sprin2rx;f 45t9es5. qd um dr5goxpg constant k of a mass-and-spring system causes what kind of change in the re4 spx9ref2 roqu 5d 5xd.m;tg5sonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M r.;v2yufb6t bof a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume nbrb. ft;2y6 vuo change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of chv9 d/f - kp)mj;pq -k. 8bs;hoyhfred(ange in the resonant frequh )dvo(;pkjp./-qes; b rm98hd- fk fyency 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 con ao04vamd8g 5nsists of a mass M attached to a weightless string of length L. For this systemo805m v4 nagad, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time require bv/c;ufswa 45d for one complete v4;wacs u/f 5vbibration

  Both pendulum A and B are 3.0 m long. The period of A 99 jy8 gd4p06o.ksd9nhqa a sris T. Pendulum A is twice as heavy as penduluha.698o 04aq9jg d9npdyks srm B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one c( mqy9 va1p+qnomplete vibratiay q pnq1+v(9mon increases by a factor of

  What happens to a simple pendulum's frequencyf g7o k4678tfli xver*78kurc if both its length and mass are ineo ix8k4*vk 678cut f 7gl7frrcreased?

  Simple pendulum A swings back and fort1: 1myu qe4yl4ztt yd6h at twice the frequency of simple pendulum B. Which statement is correct?:y yd tlmzy11e44 utq6

  If you take a given pendulum to the Moon, where thf(ta m,6778 j+wfhz oualvk l5e acceleration of gravity is less ff6muh5lztk7 j8al,7av+ (wo than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 :lws )epoa;x+represents

  Curve B in Fig. 11-1 represeng+phq u3-ir/ qts

  Curve C in Fig. 11-1 reprezo6.jcpp d4/lw,md4 vhw-yr , sents

  For a forced vibration, the amplitude g+srf)e, nw:sof vibration is found to depend on the

  In a wave, the maximum displacement of3 2*:wj/jykpb6l jbz i points of the wave from equilibrium is called tzj2 ipy/bw:6j bjl*3k he wave's

  The distance between succes9srn f tndzfj;47s +s0sive crests on a wave is called the wave's

  The number of crests ofu7e . pxisu)l2 a wave passing a point per unit time is called the wave'sux.7s e ilp2u)

  For a wave, the frequency times the wavel,3 g( ugklvi- 78 bj3slxgmv(cength is the wave's

  The frequency of a wave increases. Whya c8mpul,4 ,r4orz sn(fv3 l8va nf2;at happens to the distance between successive crests if the speed remainvo8(na,ufrfnly za8prl4cm3 s2,v ; 4s constant?

  A wave moves on a strinsotguo 66 9q,mg with wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency utq 6m,o6gso9of the second wave?

  Consider a traveling wave on 3l6wt k mi o k89qa/)*p obg2s,moaj1ka string of length L, mass M, and tension T. A standingki kaot1g )b*83o laomjsw /q9p,2mk6 wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed oekzdmruo 8l, q : 2ns*cz25,ssf a wave in the string is v. What will beksm2qd2e :nz5 lsuszo8 , *r,c the speed of a wave in the string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and lulu xhveqq;4n*+y6.kjm, g i0ength 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 im k+*, uqnjx0;v.ueyh6 q4lglength is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wave in6hd-)-f oqp:) :j p97meez0im gus6euf hr2ni the string is v. What will be the spe-ffu e)m: i6mh o psh0eedqu7j-z:ng)6ip29r ed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wak2obt ew*p /*d3a8o;dkd uad7ve is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the particles d3tw*ked8 7; po aukd2dao* /bis

  In seismology, the P wave is ao q 1n1mt;v0 lrxd.,3hq* ley0eqy: eb longitudinal wave. As a P wave travels through the Earth, the relative motion between1y3 hbv l ;xd*qe ,e0rmnl.:to01qe qy the P wave and the particles is

  The intensity of a wavecp+k5m3u( l.b tx tk/h;rz6zu is

  A wave pulse traveling to the right along a thin cord rea:ll*u, n ueezz3t54crches a discontinuity where the rope becomes thicker and heavier z: uc34zl* ree5tun,l. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitud,vica 8 /y poty76 qb3z0jngt5es pass 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 of space at the yb 6cq5vg,/8p3aozt7y0 n ijtsame time

  Two wave pulses pass each othn6 ;n jyxezbys b0)7:5cyxt +rer on a string. The one traveling 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 region of space at the s 7yt6:ze cyb + nbxxjy5ns0;)rame time

  Resonance in a system, such as a string fixed at both ends,c v yzka2 p4ja1*25ms1iayn 6c occurs when

  If one doubles the tension in a violin stringn53u, rx-:9 luwhb8q,n oygxyi i;a9t, the fundamental frequency of that string will increase by a factor oyg t95-lo,;b9y r:38hnwauu , qx xniif

  What is the spring constant of a spring that stv7-t1k ko ko4;w0xc 2wgp-ikfretches 2.00 cm when a mass of 0.600 kg is suspended from p1xw o ;ci--kk0k7okf2v4tw git?

  A mass is attached to a spring of spring constant 60 Ncyw 9ldp. f4 h2bz je-2p8fxs(/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 poshwdz2c8 y f-e px4b(9lj2s.fpition when it is oscillating. What is the amplitude?

  A mass is attached to a spr2u d 2zvdubai;k/4bol w s4+(o-els0oing of spring constant 60 N/m along a horizontal, frictii els0do w o2lz-b4;vu2d+ (ko4 bs/uaonless 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 period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a ho(2ta al+g q( 5yfa0rrrrizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0ry+25lta ((rrf0qg aa.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.0lpu6i60ff kl02o zaf It goes through 10 complete oscillations in 5.0 s. What is the pez l20f kpl060afifuo6 riod?

  A mass vibrates back and forth from the free enwu nfy,+a +rr:dkr5 :hd 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 its equilibrium posi :+5yadn fh k,rur:w+rtion?

  A 0.50-kg mass is attached to a s6lnl5 dlbeb1 ..mxk6npring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic mok1x bl .ndbe.6l nm5l6tion 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 o z6;ac6u6on2cn; ryi:v mj t8jf 4 cm. The energy 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 system nono6j6j;z8ac;m iut6:yc2 rnv w?

  A 0.50-kg mass is attached to a spring of spbg(*-m pi( vd.. brlztq2g.7n - vlktiring constant 20 N/m along a horizontal, frictionless surk gb-rq.ii(v .* nz(2l-7.tgdmbvlp tface. 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 vibration?

  A 0.50-kg mass is attached tonanx dw p9q5 52y(bc;m 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. At what location are the kinetic energy and the potential energy the sa (nd2bmna9;p q5 x5cywme?

  A 2.0-kg mass is attached to the end of a horizontal spring of spri xahix rg4e-1skik:x7ot)m7 r9n/ht9 ng constant 50 N/m and set into simple harmonic motion with an amplitude of 0.1rhhnar i4x)7kx9 : xtsket g 79m/i1o-0 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) ghxq sd5v2c r(asl-0 spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is thl q( ag5s0-xsd rcv)2he total mechanical energy of this system?

  A mass vibrates back and fort;we ljei(it8cf 6 4b/th from the free end of an ideal spring of spring constant 20.0 N/m iwteci 4b;8ef/ 6 (ljtwith an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system i6tqd) (n2k5* fpfzv sw*h7pxp s displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would bexp *v(sh f*tppf5d6) 7 wnzq2k observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is a(;;q 8auj8uo f( ss.h g3ljhwc-cb5qx ttached to a spring of spring constant 10 N/m. The object is displaced byuxjgjah; u (sl;q8q8wbc-.cf(3 5osh
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. Thub,fk+muq kz f1c12xdvj 0y*+ e object is disp2+yxk+1,* jmf1cvdq b fzuu k0laced 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, displaced kgpxq / ha9ran)npk-1g,q*+rslightly fpq g*k-xn/ 1anak,q +9rp)h grrom 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 1.27 Hz1:// +pdiy xuus(p fhi when displaced a distance of 2.0 cm from equilibrium a+(h i:pfy /puuxis/1 dnd released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Masswd0 g/-d8ghwl)vg-q 3 eephz 8 A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates witqd/)hg z3 8wv lw 8hpde--0ggeh 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 the m9s0x 2eyzy bi56cyqu9ass stretches the spring 2.0 cm downward. The mass is then pulled an additional distay9ziusy6x ybc5029 qe nce 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 equilik6g (uy fs:(m7gcozg+brium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additionaf6u(mo: z7 (cgy+ggskl distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspende9rsr2n z z9cu1njf :p*i a.di9d on a spring. In equilibrium the mass stretches the spring 2.0 cm dowu nzni 1rdc9*sf 29a 9pij.r:znward. 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 ha;cq.8em1xh wirmonic motion obeys the following position versus time equatxiec q.; 18mhwion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion oibdug 0c*:ewk+s +y q+beys the following position versus time equatiu+ksg0 c++d qy*:ebwion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positi4 y kvlqc3s1(amhkt)*/r qd 5gon versus time equkrcv) mtqy4al 3d/15q *kh(gsation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spris9k1g4pa i;n;o-hrs cng executes simple harmonic motion accorsr 4s-1;gi nc;haop9kding 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 t.xv 8zlb . kbk6b2,hsko spring with a force constant of 20.0 N/m oscillates on a horizontal, frx. ,8zvbb6.ksh l2k bkictionless 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.)
(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 swingkx) flip0rr e30gl8(ss in 8.0 s. (a) What are its frequency and period on Ealr3 0xr(f08e)ls ik pgrth?

  A 3.00-kg pendulum is 28.84 m long. What is its period o gu./spp7m )fdn Earth?

  A pendulum has a period of 2.pcyx 680 stpx+19kymg0 s on Earth. What is its length?

  The pendulum of a grandfather clozmbu ,iufy .retv)4s0ao9i vp7 ;*kc5 ck is 1.0 m long. What is its period on the Ea*; 4 zs.o9crt75uu iveavipy0kmbf, )rth?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the+unz*vf+ q rc2t21mvz Moon where the acceleration due vr+u2*+fcqtz v2mzn1 to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sphe8xtihd4tk;w+ yo 2qdd. p,m8zrical mass attached 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. Wha8dt;dm.ktp2,zw8 iy qh+d o4x t 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 displ66oqu(: pzwy nacement of 8.0e. It oscillates with a period o (p6wyz oq:nu6f 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 aawojbqc-be 6f ) xb76, wave at a given time. The frequency of the wave is eo7a)w cxfbb6 jb- ,6q120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a..8cpo pb 0mjag+4s,sh:h jma wave at a given time. The frequency of the wave is 120 Hz. Wh4mgbc+mp .so80 ap ,sj.ahhj:at is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a giva0s+c+sww/x ben time. The frequency of the wav +ba /cssw0w+xe is 120 Hz. What is the wave speed?

  What is the frequency of -udrzpu a9bp.l7/nq6 a wave which has a period of 6.00 ms?

  What is the period of a wave with a frequencyf7q. oe hhnnnt-s-8+c of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelen8zg75 pirybmai rv124dw- j u*gth of 3.0 m rpwz vb-da*417 ur85gji2imy?

  What is the velocity ofgqw r )pej4:m (cwa.+2.u ef4dethd;f a wave that has a wavelength of 3.0 m and a frequency of 12 ;we4dtw)+qj:pm gd(4c2 earf.hu.e f Hz?

  What is the frequency of a 2.5 m wave traveling at 14(23y-5x *b)jxuvv0hmb uk wei00 m/s?

  A piano string of linear mass density+nwz* z9ig;id 0.0050 kg/m is under a tension of 1350 N. ini;gw*+ d 9zz What is the wave speed?

  A string of linear density 6.0 g/m is under a tension oc1d*t- prh f3xf 180 N. What is the velocity of propagation 1crh3x*t pf- dof transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500tpsgp8 8 j u ,wyxd:(yqmvy)5u 2/y4ru m long wire whose total mass iqyupp:gu8rmy jyxw/2 )8dys, tuv(45s
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 wave8b7+3a fwnr y/ afhlggh(*la0 on a 2.0-m long string fixed at both ends fa3/n7 ybaw*( r+8l0hlgah fg 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 500w g0t1 sk2:yhd Hz, which one of the following frequencies canh2d 1sg:wy0t k set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standingekp( 9 o/jy6uc wave driven at a frequency of 480 Hz. What driving frequency wil/oyk69ujc ( epl set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hzf af;ow:0i9/q-u zmio with a standing transverse wave pattern containing 3 /;uf0ofaziiw9q- : omloops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1. nk0n ,w:8nzd7s aouc.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance freq doc8uk0 ns a.:wn7z,nuency is 220 Hz?

  Find the first three harmonics of a string of li8 83 m1o:rf-cht-ahhbpvo:h .wsh 8crnear mass density 2.00 g/m and length 0.600 m when it f hh8.h: mhc-arpvob 88 soh:wtr31 -cis subjected to tension of 50.0 N.

A string of length 2fo:.1 ) viumn1ct 9 tybw(zkw0.5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wait tz9(v 0w bf1oc .n1uk:)wymve 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.