The time for one cycle of a periodyhmq(( em3mmt;acglhd. 9 b+h; j+s)sic process is called the

  For a periodic process, the n-ujx asdsvewl a+5g9,9/y q0xumber of cycles per unit time is called the

  For vibrational motion, the maximum displacement from tms)i nq3 z ;gmmy1afmcl/b;f :rg-7b9he equilibrium point is called themi-mzm;/lby1a9cb s rg ;mq7ngf:f )3

  A mass on a spring undergoes :jzusfq* g8d.edi6+ gSHM. When the mass is at its maximum displacement from equz*8s: qgiegd.duj6 f +ilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes througq4u9qwp1knrc)c p wq;7ox43i h the equilibrium position, its instantaneous velocit4ox;14wrpq) uwc iq qnc p937ky

  A mass on a spring undergoes SHM-7 ;m).t +uw1dlvt4oqesk rcksus+s 7. When the mass is at maximum displacement from equilibrium, its instlct.u+ss+k7dk4)uet7q;1ms - wr s v oantaneous acceleration

  A mass is attached to a vertical spring and bobs up and dowsp, rh;i :y1mwn between points A and B. Where is the mass located when its kinetic energy is a minimyp:iw;,smh1r um?

  A mass is attached to a vert 5ec w3.4tp ,iayy51pl;ywv2m1u xze dical spring and bobs up and down between points A and B. Where is the w viye1w1.cx z;pa54, dy5lu3p2me ytmass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betw)ig*awa89ywo0uzcwv ;eni/8 een points A and B. Where is the mass located when its potential enewu0in9wyigaoe /ca8; )z *vw8 rgy is a minimum?

  A mass is attached to a vw czrwi5,z8g 5ertical spring and bobs up and down between points A anri,g8ww5 5zz cd B. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating .ax;p8 s:g 2rd rcxnf6bb+;yomass-and-spring system produces what effect on the systemo2b68+fdx:;xg ar ps .yc;rbn's mechanical energy?

  Doubling only the mass of a vibratiywm6 yf+t) (g8g)yzza ng mass-and-spring system produces what effect on th y8g) gtyf)+mw(6zyzae system's mechanical energy?

  Doubling only the spring constant of a vibrati s88ls txk2ky:szxdkme,1-z1ng mass-and-spring system produces what effect o sk1zxlk88: 2et1kssmdzy -x,n the system's mechanical energy?

  A mass oscillates on the end of a x w2rr(d(t9 /p 63/yh qik2fpg:btd:fbpvs3lspring, both on Earth and on the Moon. Where is2fr3pb6drt3(g(y/2 t:h9kd/qf lb ppi:wxs v the period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes jst o8z,3gr.iwhat kind of change in the resonant frequency of the systemorjs 8t ig3.z,? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change in fs 6c04m2t vvsy/(bfsthe resonant frequens c/2b6(v4fty0svfm scy of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-obx/; yp- fg(rtrb l:wz9w/i; i* e2dlspring system causes what kind of change in the resonant frequency of the system? (Assume no othty9xll:rb*; e/d/o(i2 fgb z;r-wp iwer 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 str3;t+ fmna:hcttzfc9- ing of length L. For this system, nz: ctf-9;ftcha+ mt3 when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the tihd.os l 4rsz 4ded(3,tarv(v7me required for one complete oshdt 7,((d.e r4ad 3lsv 4zrvvibration

  Both pendulum A and B q9oqi f .uqr *-kyj15aare 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum Bq ay oku-*5 ri9j1.qqf. What is the period of B?

  When the length of a simple pendulum is tripled, thw h aq3m5k95qqmt*8vme time for one complete vibration increases by a factm8*5vq a9mhqk mw qt35or of

  What happens to a simplejx*5*swrabd:*/ xvmy w zn:q2 pendulum's frequency if both its length and mass are incrb**yx52r: zvjs/xqmdw n w:a*eased?

  Simple pendulum A swings back and forth at twice the frequencro4m z y ., qqr+rplpg)(i+-zwy of simple pendulum B. Which statement +,qgq(rz.+rwymi4ol rppz -) is correct?

  If you take a given pendulum to the Moon, where g f8x y r5j8jr*dxft(33m2kcmthe acceleration of gravity is less than on 8jt3x k(5mf3 d*jgrxcm8f2 ryEarth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 5x/(i9msir ps represents

  Curve B in Fig. 11-1vi)fh*a bfjj- z mp40- represents

  Curve C in Fig. 11-1 represenqva vpgf(m 039ts

  For a forced vibration, the ampli3za f+qg*ya7 8uohg i-tude of vibration is found to depend on the

  In a wave, the maximu jc4oa6zp.9 xem displacement of points of the wave from equilibrium is called the wave'j c6x9 op.4aezs

  The distance between successive crests on a wave is caq5+swvo ub7vn)fc;9gj ,r a y)lled the wave's

  The number of crests of a hb3ycaog khrr 6yfct0r)0 ut2 k1 .;o-wave passing a point per unit time is called the wave'sc orgt1y y;truah b o23c)khr-00kf6.

  For a wave, the frequency times the wavelengte .zsdse:o16ch is the wave's

  The frequency of a wave increases. What nc0evqlzi80 oy;z jb 84m+ h3fhappens to the distance between successiv mf80yb nohe4z+;izlcj vq308e crests if the speed remains constant?

  A wave moves on a string with wavelength c 3nl2j,3k.fmck b8n5 /gnrxwl and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the fre 2bnm/k8cn j rl3k.53f ncxgw,quency of the second wave?

  Consider a traveling wave on a string off2zb )cz5rro : length L, mass M, and tension T. A standing wave is set up. Which of the followinr cz )rfobz25:g is true?

  A string of mass m and length L is under tension T9759byqcf90aof f cj f. The speed of a wave in the string is v. What will be the speed of a wave in tf999ff 0y7jcoc b fa5qhe string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of a wave in the.ge4p8 lrggwu 2 10adb string is v. What will be the speed of a wave in the1w 0rd2 e g.gg48pulba string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tensionns,*g kwv *j;p*f1 xai T. The speed of a wave in the string is v. What will be the s;*1pvsgf *a xnwi, *kjpeed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S t5t0rls dgk+ 2yga d80 ,c)qoawave travels through the Earth, the relative motion between the S wave and the particysqk 0a 0gartd8lg,5c d+) 2otles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels throu1ji6z3lwa6 lmvg +s 2ngh the Earth, the relative motion between the P wavegws6ml632zn v la +j1i and the particles is

  The intensity of a w t7. )svp,e5hsg0f uhdave is

  A wave pulse traveling to the right along a thin cord reaches a disneu 2rm3h:4a k 5sfi3mcontinuity where me sh2mi5rk4 f: 3anu3the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, vwbqyi up :u/ 7h6,fumy5 dh4+one is traveling toward the right and the other toward the left. Atp7hfuu i+mq ,by:/54wvu 6dhy the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a strine:uce4 :zs ve75fgbyy5;. *eqeub g*l g. 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 regi7*g4eeb5efl ;yqcvse e5gz:: yuu .b*on of space at the same time

  Resonance in a system, such as a string fifpq zfuh: x 1)t1y8xmnm7x;h7a5) c11 pwga ctxed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamvbr ,r r9q9k:nental frequency of that string will increase bq v b:r,99rnkry a factor of

  What is the spring constantyur*bi+ c 2g si1;vrqqbldp67w9es. . of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended dqp6 g1rs;qb*s9v 7 lw.i rbu.eiy2c+from it?

  A mass is attached to a spring of spring constantvmry(g4k2/p;lt s raf77 ,zmv 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 wg2 7kvf/r m(l ra mtzp7v,4;yshen it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constantk(f hfzaa.pc i,i a/ -;a;h6ob 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and af,h;(p - kcazb;6o/ifia.ah 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 alonv(x- n p7chzu;g htehiu :,0w3/bso6 sg 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 equilibriumx6 i,bgznhp7-(;v3hs:w c oe uusth/0 position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. p x )o2xg6q4o/bbmj6yr 0s g sy9l0-tnIt goes through 10 complete oscillations in 5.0 s. What is the pbr 9g njp0-/ b0msxqx 6y2oo4l y)gts6eriod?

  A mass vibrates back and forth from the free end of an ideal spring 4a1rd(- r iv70tehkn nof spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic ekin1h- 7a envd 04rrt(nergy 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.r 6 ig3akruy;3qp( uz a horizontal, frictionless u r3rp zgky;aq(ui63.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 amplitudemq6y4g-3pv e o of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and gyo6-q 3 v4mpethe 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 attached to av5a3rfa d2z;00r cu ckbz-p+v 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 o0+zrvupc kada r2c f v0;5b-3zf vibration?

  A 0.50-kg mass is attacetb nzqg61xb-lm00 9s fw 2x-hhed 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. At what location are the kinetic energy and theqxg 0 b0nlzm-bw-1xet29 hf6s potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring conshp3,erv/ e/ u:mm gw kmj k8,j*6yg5sg73iyectant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m.mr ve/geh7gyp6 8,my3 wg mk s5c*ie :j/,3juk What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of puxu8;:b;yr i spring constant 50 N/m and set up:r 8; yixb;uinto 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 an ideal spring of spring,tym 8njtheg05abm42 constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic h2gn mb 0t5mjaty8, e4energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium powngtj1+w5 0wk sition and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cmwktwg15 nj0+w and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. Tulr0,2a)i zydzr1tbwi./w+d he object is dispw r+idz10,yu /bd.zlawit)r 2 laced 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 springf09i;51zldcn + lgm-mnx 6lrj of spring constant 10 N/m. The object is displaced 1xjig6d-5m 0cnnrll ; +mf lz9by
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 springw zt-.;im cqj,:3 eolz of spring constant 18 N/m, displaced slightly,.:mqtw jzl ;oec3zi- from its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached t7u 9aol-s3 clho a spring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the max397 uoc alh-lsimum velocity attained by the mass?

  Two masses, A and B, are attached to diffe hdmecjj;xm 5ygf ..q+o: 4l3wrent 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 frequency of 1w 4. hdog :+f.; jey5jmcm3xql6 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 equilih5v : 2v)sz; gaj jjm184zrfmebrium the 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 period of oscillatiommv)1 j85h:av gs z4jzjf 2r;en.

  A 0.30-kg mass is suspended on a spring. Iro5 u, hbhw7yzr/ 15hvn equilibrium the mass stretches the spring 2.0 cm dow /1,hoh 5b75 hwvrrzyunward. 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 suspendcyn4-pktr z2*ed on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is the tycp z*-kr2n4n pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple har +kzya3vt9 vt*hzrp93monic motion obeys the following position versus time equation* ky9z th9vazp3 v3rt+:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmovdce h,st ql7+7us-s(- icfl1nic motion obeys the following position versus time equatis,ui cle( hdq-s7 1t+scf 7l-von:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic movs4r)j*u xwe+ l 78toj uze7lfs516lktion obeys the following position versus time equsuo8+l) l1xvef47t*zekrus5j wlj67ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion accoz0;+fkbyok6asg4e3 fo ry.5frdis rbke04g;6+ o5koffy3a zf .yng 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 ekouz1fw p(0d p6gzdv8 n90n+62ng lbconstant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released kzfz8vpln upg01 bdn d+o669e(02g wnfrom 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 swings in 8.0 s. (a) What etz-wy;kg0a 0are its frequency and period ota0y gew0zk; -n Earth?

  A 3.00-kg pendulum is 28.84 m long. What isv-x 6zx1:,4o hfva stn its period on Earth?

  A pendulum has a period of8qof;lzuk+n corm v5-o w*0)h 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clowe -5b4tq;tik ck is 1.0 m long. What is its period on the Ea4ekt q -bwit;5rth?

  The pendulum of a grandfather clock is 1.0 m long. What is its period oh :r2oyb z.+kdn the Moon where the acceleration due to gravity is onldk: hro+zy b.2y $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless yxi)1jboza7.string. When the mass is displaced slightly from its equilibrium position and released, the penduli aojb1)7yx z.um 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 massnnby evfc;k060.lo 5 s has initial angular displacement of 8.0e. Iec k. nbsv;on005 fy6lt 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 wa1u;jge)xr -mcck 0s/ l hmq+2ok)gz8 nve at a given time. The frequency of the wave is 12 nr0 zkqmc-c ;o/m)kxej+s)ugg1l8h20 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a girv6-nyemnsl: 7o*l1 /6t roawven time. The frequency of the wave is 120 Hz. What is the wavelengthrm-eon *n66 sy:7vt1lwol / ar?

  Figure 11-2 is a "snapshot"w:;/v b *qle4;cztvcu of a wave at a given time. The frequency of the wave is 120 Hz. What is the wqvtcwb lu*z/c;e;4 v:ave speed?

  What is the frequency of a wave ,s sm 87m18h x4pojxajwhich has a period of 6.00 ms?

  What is the period of a wave with a frequency , 8 nbns3e1i+/w ersdgof 1500 Hz?

  What is the wave speed if a wave has a frequem:i 0)ker08z6ltzs ipncy of 12 Hz and a wavelength of 3.0 siz8i:m 0)pr k 0tze6lm?

  What is the velocity of a wave that has a wavelength of c 8jjo;y9tgg.3.0 m and a frequency of 1jjgt8cy ;.og92 Hz?

  What is the frequency of a 2.5 m - iif*xq. lbcv:avdbtr5*y xs 464e2jwave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 N. tit*h2r.bn6fgy; omcn)j25y wro ;,c What is the wave so5;tmnybt 2,nf rcch .6row2)*yji;gpeed?

  A string of linear densitb 2p-*x9lp vlly 6.0 g/m is under a tension of 180 N. What is the velocitp 2xp bll*vl9-y of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whosevpu:hbsu8u1k95 ri 5 e total ma9:puh kb uusi5185erv 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 string/7hirbf a;ng7v gg m--7my w7n fixed at both end g7rnw;7/mmny 7 -bfg7ihv-g as is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundaoh)q9 m6hbn(2x56: du s gtyiemental frequency of 500 Hz, which one of the following frequencihdx9) 25q6bugt 6ms hn( eyo:ies can set the string into resonant vibration?

  A stretched string is observed to have four equal s y p:hj;q-jil1)bys j1egments in a standing wave driven at a frequency of 480 Hz. What driving frequency will hs)1-i1;l jpbyyqjj:set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz witztu-up,wrwtxuip7 +0-z) o.o h a standing transverse wave pattern containing 3 loops. What frequency is needed if thez+ x0)w7-z towpu o-.uurti, p standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tensi o51a jgtri 5f4isp )yg4z+,noon of 20 N. What should its length be if its fundr poz1onf4 a+5g )y4,i5tgijsamental resonance frequency is 220 Hz?

  Find the first three h+ vrtfqb:p+ g)armonics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to te:bt+ +)qvrfgp nsion of 50.0 N.

A string of length 2.5 m is fixed at bkqp,qboz2 g 38oth ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops iskpog82 q3qb, z 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.