The time for one cycle of a periodic pr3n/crs-xqncc drd u+ z6qd;ev f;*6y 6ocess is called the

  For a periodic process, the number of cycles per unit time is cipzp68xr2 )g n b3xra2alled the

  For vibrational motion, the maximum displacement from the equilibrium pon 3kv zykc )ikv;+v6-nint is called t3 +k i; 6)-vknzyckvvnhe

  A mass on a spring undergoes SHM. When ;xo offsahl 6yy +x(2i2y2 h;qthe mass is at its maximum displacement from equilibrium, its instantaneous velocl qy ;h2sy2(xa;ohi+oy2 xf6fity

  A mass on a spring undergoes SHM. When the mass pasyl .;z+ge(fl lses through the equilibrium position, its instantaneous velfg.yle;+l( zlocity

  A mass on a spring un,bh,jksn 0+ srrl4gl+ck9 e:edergoes SHM. When the mass is at maximum displacement from equilibriurj9:+kkl ne gesbs04 ,+rc,hl m, its instantaneous acceleration

  A mass is attached to a vertical sptq veefjmp f (e/ 35kkv.r:v/2ring and bobs up and down between points A and B. Where is the mass located when its kft e2 evervq://m5vkkp3. fj( inetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down bet ap h*rj a/cy;o0zonl,e+3irj*he1+oween points A and B. Where is the c1oz,3j* yh0an+roj;pe+l r o /aieh *mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up anx q,6 654xlfhh ph)zgod down between points A and B. Where is the mass located when its potenh, f6 g 45zlh)hq6poxxtial energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A anf*qo 2bqz e0yt5lc1 f1d B. Where is the mass located when i0ofz2f 1c1eyqlq t*5bts potential energy is a maximum?

  Doubling only the amplitudv)2 -4dsm (3emc gz6zk;o bskw,kap2qe of a vibrating mass-and-spring system produces what effect on the system's mechanical energy?a;3 m24e2kp,kmvoc)s wszg - (bqzk6d

  Doubling only the mass g t04i +t;f+seel4ap5wpre( k of a vibrating mass-and-spring system produces what effect on the system's mechanical energy?4e w pf5sga4i0k+ptree(tl+;

  Doubling only the spring constant of a vibrating mass-and-sprinm x*5w: +5 amjrc r).j5aohvbrg system produces what effect on the system's mechano.5wr x+a5rvb *ram cmj: )5jhical energy?

  A mass oscillates on the end of a spring, both1cjav (kyv1l0,xu ; zd on Earth and on the Moon. Where is u,av0z1; jdyvlck1x (the period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what b)2lngbi7jg6;jcg, bkind of change in the reson7, 6)b2jg;nli bbjgcg ant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causd(zpxjm zm9n)1/rxuz)(hjyq1q c1 y, es what kind of change in the resonant frequency of the systec19 uqyq 1)jr(d1( z/zz,m) xmnxp jyhm? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kin,ugesoztlnfw)k 5.ey0 4m +1 md of change in the resonae5,y4 s1.o lzm0g)wfkmnu+t ent 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 consi:r moc2k0 8v54tpjjs ai15aq6 qwvck /sts of a mass M attached to a weightless string of length L. Forvat2q45koms:jq /c j8a cvpwi10rk5 6 this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one comply 0n).wz(t yawete vw.)t (yy0nwz aibration

  Both pendulum A and B are 3.0 m lon pijk e39t70)ye*wfwzg. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the)3e kzw0yp ie7tf9*jw period of B?

  When the length of a simple pendulum is tripled, thq 0fw(vrb 0..kcu e--fda2t+hhh+ veze time for one complete vibration increases by a factr - zwt0h2..c+0+ fav-khbuh edqfv( eor of

  What happens to a simple pendulum's kq/(kf8 xtwp,frequency if both its length and mass are increasedt (/pkw f8,qxk?

  Simple pendulum A swings back and for iv3z(ih g+xy2th at twice the frequency of simple pendulum B. Which statement is corr +h 2viig3(yxzect?

  If you take a given pbbdz)x4 ;b q2vr88vgkendulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency or2qx b ;84vg)z v8bbdkf the pendulum will

  Curve A in Fig. 11-1 represenbo mseez8 q prgbe.tuj3/)g 7;e.0+nmts

  Curve B in Fig. 11-1 represen) qmlq7vs+a pelws .s; ya*6s2ts

  Curve C in Fig. 11-1 represen j y++hxazo;e7ts

  For a forced vibration, the amplitude of vibratiov* 7rgpy3 ,/pmrebe 3rn is found to depend on the

  In a wave, the maximum displacement of points of the w*qx 4o 2dbtfv63ab-qfk*d9a0o 7jy ewave from equilibrium is cald fa-q4jab7 fko* edx6o9bqw2tv3y*0 led the wave's

  The distance between successive crests on a wave is calle5+ka 5:wl +2,9z qwbg evflg m0n+dfzid the wave's

  The number of crests of a wave passing a 2v-u:ehh5izqy rpx; mklhf7c 2p1s *3point per unit time is called the wave'skc5y ir2ehm; x2-v fhps1 h3:*u7lzqp

  For a wave, the frequency tia t-g+o r* twbgr0uy lx()-bmy rnm381mes the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance)1cvaen7j3 q3 m;ja ppqe ;5sx between successive crests if the speed rem;vas13 mpq5x )j 7;ancj peq3eains constant?

  A wave moves on a string with wavelength l and f,z3*kixhdf:xod qo 5/requency f. A second wave on the same string has wavelength 2l and travels with the same velocd z,ix/5qf :do khox3*ity. What is the frequency of the second wave?

  Consider a traveling wave on a string of f0 25cpyxwn+on5v.sw length L, mass M, and tension T. A standing wave is set up. Which of the folf5ns.xnvy +c pw5w0 o2lowing is true?

  A string of mass m and length L is under tension T. The speed of a wave in the fh*)gcicfnh1 26qb b8(q uyl(9g e/cdstring is v. What will be the speed of a wave in the string if the mg dffq lcqbc2 ehgn8 h(1)6/iby (c*u9ass of the string is increased to 2m, with no change in length?

  A string of mass m and l twmj5w2hi0g(ti8ae )ength L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in twa5ge2 mit hijw)0( t8he string if the length is increased to 2L, with no change in mass?

  A string of mass m and l 6j53dcrea9wlength 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 a5lrcwjd69e3 if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. Aswy m1vvsssfcev*7 ,i9uc wx6q.z (u/ 8e0gb0y an S wave travels through the Earth, the relaesc y1 8vv, . (v6/xqs0fmegyw z wc907bisu*utive motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wa u;+ka*1kmmn mve. As a P wave travels through themk+am;n umk*1 Earth, the relative motion between the P wave and the particles is

  The intensity of a waveic 8 8rc;la/o87cmkru is

  A wave pulse traveling to the ri6mf/zpttg33w4 5kp py qr1kvqxi .;+ nght along a thin cord reaches a discontinuity where the rope becomes thicker . k qqnxp1pty/f;4r5g+6v w mt3ik pz3and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive 3 0h;dzfss v;famplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point tha3vshs dzf;;f0 t they occupy the same region of space at the same time

  Two wave pulses pass each othe7cqsg9br 1t0x)irio37i: l iu r 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 s0it3 ix ir ciq7g):s7bu9olr 1ame region of space at the same time

  Resonance in a system, such as a string fixed at both ends, occurs whvrff2 wo *ear0z 2jr84en

  If one doubles the tension in a violin string, the fundy+nvj,p4 fmye:9lyrh)wk 6pkim-t0 * amental frequency of thatw* , +m 9yipnmk -hyyfe 46t)0rp:jvlk string will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm wh 7adasgdf e 0zs46 ec.db.7:ylen a mass of 0.600 kg is suspended frzdec7e y ag sf.:d 406ls7bad.om it?

  A mass is attached to a spring of spring constant 60 N/m along aq9:a ztrn6 8d1 wil xy06xdk1j horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on th8dydlij0 wq611ka6z ntxr:x9 e 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 sprin 0vpu.l+2- z hwko oy9h+ja8pyg 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 it2.o0vjhzy+k9 po8uya +lp-whs equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring 5/iqm f/afq z*)hl qc*)l0kq(ya( treconstant 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 is oscillating. What is the frequency of oscillatlq/qa hlmzk q(**af 0 fe(qct )/)ry5iion?

  A mass on a spring unde p/mw/b*zic 7kk 4o 2kpoe4cg9rgoes SHM. It goes through 10 complete oscillations in 5.0 s. What is the poe4g /kpw ck2ok /9*z47cipmb eriod?

  A mass vibrates backq o7otm l3l6rs4q 3h(j and forth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the ki(j tmshr4o7qll3q6 o 3netic 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 spring constant 20 N/m along a horizze)vj2ebl3w) jp+* zf ontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium3j) zez)vjew b+pl2f* position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cmpw zmiqd e9yt8q2tbp9n)1(t l.c +2ds. The energy is 8.0 J at this time. The mass is cut in half, and the system istez2 wi ( 19pnt 9 dcl8+t.msyq)pd2qb 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 /d mjijxmh 8-7(gx twq 81o1ptspring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic mptx hom- jmq1i88 (xtjw1/g7dotion 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 tofmyc *ihcf8945 pj1q i a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion9ijq5m 1fc8*hfy4 ipc 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 /k e40yhxx7;t sql s2,fiz/ x *dpl(cuspring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total2x,d xxyl(sht p/ uk/cs 47fqez*l0i; mechanical energy of this system?

  A 2.0-kg mass is attached fbgvjswb/ 9:ja)gy,*x5e vq 8to the end of a horizontal spring of spring constant 50 N/m and set int jvj*eg)/ 59xwbq v8ags,fy:bo 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 the free end of almi he(wsb6+/;ro-t mn ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. W o i+eb sm-mlh6t(w/r;hat is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 9h uv ghilo6 pi6f3/:7lvkt)q10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frh/9vi utqofil)3v l 6gk:7h6pequency 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 oh/9kja b 7/7prw3jwgobject is displaced bj7b /hjpw/k r7ago93wy
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 spe(+o*dp.x5 t1l3memmxac. kg ring constant 10 N/m. The object is displaced bypmdletmoa ( x egcmxk.3.1+5*
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 sprj k ;l+k:olyy4ing of spring constant 18 N/m, displaced slightly from its equilibrium position,4; +koy:lklj y and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a f; xjxu3o: u;dah )o*ixrequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. Whatx3dxhux) uo*;:a oji ; is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A viby mv8gwv6 ;dy:rates with amplitude of 8.0 mvdg;6yv8w y: 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 maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. Iicz +. lscv o-v.evt24n equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.o.c ezv v vs2-c.4li+t0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspendedai7uhzgu7l2*v)9khl. 5n u qu on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pull7)uh72 l.u unvigz5lqha*9k ued 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 mass stretches the uad +w:lzh-i5 :ez m+lspring 2.0 cm downward. The mass is then pulled an additional lu -+he :d:azmwzil5+ 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 position versus time 5/g, q3lina1byd:nll equa g1bl/a,ld 5iylq3nn:tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following poa j8gpkc4k/)3 :gzdl fsition versus time equzd)a 8cgkp3kl:jfg / 4ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position v5use,6ez a q3lersus time equa 53zqesa6ue,ltion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the fredf6gzry f +7ev-u zk04e end of a spring executes simple harmonic motion according to the equatio0r uzz ygkv-fd 7f6+e4n $y = 0.50 \; \sin (18\pi \times t)$ 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 d o()gz)qt;vf 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 streqvzf)(go td ;)tched 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 apj 0otgbt)fe*8 p31wqre its frequency and per1b qp*)tgp 3wet foj08iod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is ihr (d*+ naet68oowz4a;-g pt its period on Earth?

  A pendulum has a period of 2.0 s on Earth. ,w( mh n3ctaj9What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period vdh -5 6z3kftgsk0;gdu5mswn b7w/ 6eon the Earth?dkvtm;sw kz due07g 6-b6/ ws55nfg3 h

  The pendulum of a grandfather clock is 1.0 m long. What is its period onwzhno53oik)0 ( yf8i v the Moofw5o0 hnvzy)ik (o8i 3n where 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*yo r mo,;hjq. c6gtu-qq c6m /sa.z3a 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 fma*z6/ r quos j.m;.c,-aoy3tcqh q6grequency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of2l*b+tx *j zkb a 20-g mass has initial angular displacement of 8.0e. It o *zl bj*kxb2t+scillates 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 f9xoejp8ou9- u requency of the wave is 120 Hz. What is the ampli-o98u x9epojutude?

  Figure 11-2 is a "snapshot" of a wave at a kdwn ,d6l+f (5si(bdg given time. The frequency of the wave isbf w kn(+did6(l 5sgd, 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time.n)8rpdx a7 +cr,g zgb;q c,xc6 The frequency of the wave is 120 Hz. What isr8 a,,dc6;ggxnxpc z 7)b+cqr the wave speed?

  What is the frequency of a wave which has o+gl 28vi0wawl1eyi. a period of 6.00 ms?

  What is the period of a wa: 6seolg 1tgp,ve with a frequency of 1500 Hz?

  What is the wave speed if a+3ij)1uk ol-e-x gqom wave has a frequency of 12 Hz and a wavelength of 3.0 m? xi1go q-3jmlekuo-+)

  What is the velocity of a wave that has a wavelength of 3.0 m and a fre 7qle8eq6apebc,, k*hquency of 12 Hqelp7*kcee , abq86 h,z?

  What is the frequency of a 2.5 m wave traveling at 1400 m/sy3+hjuuvl fr*:c*f )x?

  A piano string of linear mass densxg:2a0t.l j,toa71b agw ,h)zws ebvd.xf w* (ity 0.0050 kg/m is under a tension of 1350 N. wa gtfv2sjad,awxwbl1 (b.*,g.:0ht ex7z ) o What is the wave speed?

  A string of linear density 6.0 g/m is -xee.su br;9b under a tension of 180 N. What is the velocity of propagation of transverse waves alongxr-us bb.e9e ; the string?

A wave whose wavelenh .bo/x1 nock-gth is 0.500 m is traveling down a 500 m long wire whose total ma -o.knbc1xho /ss 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 strin 9m*+xksg e;dwdfwq gph+74c 9g fixed at both ends is 200 m/s. Which f sqwxegg4+ d; km9cpdw9h+7*one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the fz 3a 2t/wc tj6wv3cs+yutw ax; 6adu94f*xg(bollowing frequencies;d c3wa3( t ux gztx4/ y saa6uvw+bjw92tc*f6 can set the string into resonant vibration?

  A stretched string is observed to have four eq24 sy hbtwx*k:kg/o4qual segments in a standing wave driven at a frequency of 480 Hz. What drityk *h4o:2x/s wkgb4qving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vib: ,o5r+ tylyym hjg64qrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?:y5lymqh6+j,gy 4tr o

  A string of linear density 1.5 g/m is under a tension of 20 N. What sho c84thib3x/:th q 6ers:oq up.uld its length be if its fundhts 8qh eixr6q pc:/.tb3u:o4amental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass/0 tx(pnmj4oo density 2.00 g/m and length 0.600 m when it is subjectedoot/ (p0 nm4jx to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at a m8y.w;kr7o bkfrequency of 85 Hz, a standing wm.; b8wy7rokk ave 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.