The time for one cycle of bx 8(ixf3,z.bq o ruj3a periodic process is called the

  For a periodic process, the number of cycles per unit time is caly:; pl/jg pe3doo bqc8)wxg9plq 1i) *led the

  For vibrational motion, the maximum displacement from the w:koeg 3:u.duyv;7wjb )ep;e equilibrium point is calleeybuk.v w)ju:ew:7godep 3;; d the

  A mass on a spring undergoes SHM. Whenln. 3wnhq(t8d the mass is at its maximum displacement from equilibrium, its(d.8qhnl n t3w instantaneous velocity

  A mass on a spring undergoes SHM. When the mass 7/( 9arfxa 7tezgllp:passes through the equilibrium position, its instantaneous veloci7( zgal7 rl:9/fatxp ety

  A mass on a spring undergoes SHM. When the ko6 a44*nfl qtg+fd07oerv a. mass is at maximum displacement from equilib rnaq+4o f6lg7e0oa* .f4tvkdrium, its instantaneous acceleration

  A mass is attached to a vertical springege:8k7(3te p5t w33 kvadk u,kanc9x and bobs up and down between points A and B. Where is the mass located when kn ekp(3 a58wdt7x9ue,v t3k eg:cak3its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pg*pzhk8wo . (qoints A and B. Where is the mass located when its8wgoh*.q (p kz kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between poin+9uj+aozfp ai9w9 d/dts A and B. Where is the mass located when its potential energy isp +u w9dz9aid9/f+ joa a minimum?

  A mass is attached to a vertical spriu2dx2cy+nee 7;z vu-+ fbcd3f ng and bobs up and down between points A and B. Where is the mass located when its potential energy is a cc yuff;-+zd2nxv edu +72eb3maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces wha.bqn,o;zh .l.ek jvvt nl23p7t effect on the system's mechvnj7te o.2vb;3 pkz.nh, q.l lanical energy?

  Doubling only the mass of a vibrating massb8yl/-tb;,f ;khc saj-and-spring system produces what effect on alby;h, -; /bcjsk8ftthe system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring systetf9 .+/rwjf6yz ce q3hm produces whe zh/qftwr .3+9c6jfy at effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, bojlhbb9x . yy)8* ,fuim ylw(gfccs7 g(; a1dg4th on Earth and on the Moon. Where is the pelf.;aixj),b8 wyybg7d ((gmyc1gf9uls h * 4criod the greatest?

  Increasing the spring constant k of a mass-and-spring system causes whatm kr0q7b x.u+i kind of change in the resonant frequency of the system? (Assk7.u0qr im +xbume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change h e7u;2uq /hem;7 nvoain the resonant frequency of the system? (Assume nu e;hm;uh2nv/7ao7eq o change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causl3nck6v+tg6hw8x 9rd)p rxr 5es what kind of change in thex v9lrrc6gdnk5+ p 3x86w)thr resonant 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 5mpwx /l5a.zists of a mass M attached to a weightless string of length L. For this system, when undlw5.z a/im p5xergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one q6bd+*ub*ig, bxr;*gglbi (i complete qbgx *bbg+u *,i;igli *d(br6vibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A isgxd 055a andza7f* :ipc-ka0j twice as heavy as pendulum B. What is the period of B?x g fa70d-*0a 5pic5kjan:z ad

  When the length of a simple pendulum is tripled, the tim61xngz mcx ; *9lcs dy:5h8akme for one complete vibration increasez*y h:smm xk165;c 8xlcda g9ns by a factor of

  What happens to a simple pendulum's frequency if both ,7s u fy*7bepmits length and mass are increased?7by *ufes, pm7

  Simple pendulum A swings back and forth at twice the frequency of w9,/7rq 6e bl c2ywao(yx5ak ysimple pendulu,2( xr/ ycl7q 9k ewwb65yaaoym B. Which statement is correct?

  If you take a given pendulum to the Moon, where the acceleration 5jdieaeu c dj3*ey), (of gravity is less than on Earth, the resonant frequency) *3edi e,je(a cujd5y of the pendulum will

  Curve A in Fig. 11-1 r l-mr. )wd.xw mj-uab1epresents

  Curve B in Fig. 11-1 repm5bq.l6ur pl:resents

  Curve C in Fig. 11-1 rep ky7:1rh kum,lx 4jbwj4q:v -wresents

  For a forced vibration, the amplitude of vibratiowl0d2i ,sbd e5n is found to depend on the

  In a wave, the maximum displacement of points of the wave from equil(wi9,q hr g9kn rf;t-xibrium is called the wav(r9w9hfr-k,qtx ;in ge's

  The distance between successive crests on a wave is called the wavelz;c+. jp f h2 u*u otwpa8n2r,xyhjh//x;; xw's

  The number of crests of a wave passing a point per unit time is called tmq, 4ilab+zu)2:jm-54sn4r m;g e2uqhua swdhe wave'j4u +maqr2ugsa ze)4;un 4wlqmhbm id2:,-5ss

  For a wave, the frequency times the wavelength is the wave-kk+sa vz,.yp 's

  The frequency of a wave increases. What happens to the distanr8kxn h9,*de mce between successive crests if the speed remains constantehm* 8k,rx 9dn?

  A wave moves on a string with wavelength 1srn nel/.a w5t3smm 8l and frequency f. A second wave on the same stria s/ts38.m5nne 1mlwrng has wavelength 2l 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 s/x+tt+(8 s j-h 8unjdzr8tfl7br e z+standing wave is set up. W+8s+t+ jzt8h uz r87x ndf/tj(-slberhich of the following is true?

  A string of mass m and length L isrtu /. ,ai0u gilv8m*a5ic5 clg +kwa6 under tension T. The speed of a wave in the string is v. What will be the speek05ml *c,ag ac6i/ivlw +.8iu gru5atd 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 length L is under tension T. Tk:t e380gbhor )jtg 8khe speed of a wave in the string is v. What will be the speed of a wave in the sttkoj0h8 r) tgek38g:bring if the length 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 in :amr ik1s/5fnthe string is v. What will be the speed of a wave in the string if the ten m5i1r/afs k:nsion is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travelpc m6w((ytti7ij-5b es through the Earth, the jmp-t(7tcwieb yi5( 6 relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels througha0hjo i 2+*mzl avmb8w ie44z- the Earth, the relative motion between thi* ezl2 zm484awbm iv+ha-jo0e P wave and the particles is

  The intensity of a wave i xj((d svtmt,+k*:m crgc1hv+s

  A wave pulse traveling to the right along a thimi92d:* w llhvn cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulsesdl*:lvmi 9h w2?

  Two wave pulses with equal positive amplitudes pass each other on a string, one2lejqn*;0pxt is traveling toward the right nlpj0;*x2q et and the other toward the left. At 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 traveliv6gy;b n o)lzj okv-::ng toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in tol):oz b-; vk yn:vgj6he 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 bobvr vquffx +6k29wc9)th ends, occurs when

  If one doubles the tension in a violin string, the fundamental freb3d um su;9jctq kt0*;quency of thatu3k;9m *dcsu tq t0j;b string will increase by a factor of

  What is the spring constant of a spring t8uyf 98fvvmk/hyt1q i:1:0 mfyald 8 ohat stretches 2.00 cm when a mass of 0.60ym8t/lf8a1fyk918:vi yfh : q0omvdu0 kg is suspended from it?

  A mass is attached to a s3, l66h n8r 3rssy5cmiz9corm pring of spring constant 60 N/m along a horizontal, frictionles3 n,8mco 9r6rcms653lr zy hiss 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 amplitude?

  A mass is attached to a spring of *j o67 znz/ky2a x:rr+a1gheb spring 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 its equilibrium position when it is oscillating. What is the period of oscillation:gb az k2*1a6zrhyeon 7x/jr+?

  A mass is attached to a spring of spring constant 60 N/m alongslz4 jy5c2-shkepvo4 (/ 6h az 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 oscilla45pz 2 lsvh-46kh(je/zocyasting. What is the frequency of oscillation?

  A mass on a spring under2nswo633hd n+ j5sjq agoes SHM. It goes through 10 complete oscillations in 5nnajswh oj2356 3s qd+.0 s. What is the period?

  A mass vibrates back and forth from the;k bt7((c mddm free end 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 mcmdk7(mbt ;(d ass 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 al .9 qegm;zm,lyong a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibriuzy elgmm;9,. qm position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The enertcq3locr5+b -p 0:u,h- ocqo wgy is 8.0 J at this time. The mass is cut in half, and the system is again set in loh +c5cocbp3 0u-qqr, tow:- motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring consta(oxq9pub7do.naz *1t4pkw , xhurj *+nt 20 N/m along a horizontal, frictionless surfz jr*xo+w9 tu.uhbxao4 qpn1*,7 (kpdace. 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 atxwb7i9+a+ v9zk o y4q9b;c14 z fxaxijtached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oy zfwv1j+b xab49;9qxakz 9xii+4o 7c scillates 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 same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring const6hh t;i2k+fskant 50 N/m and set into simple harmonic motion wit; hhkstf+6ki2 h an amplitude 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 spring of spring con4bw: / eeldqve 0ftp31stant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this syst: 3tvp1/f dbelewe0 q4em?

  A mass vibrates back and fowd .tb.eov.bkpay4l np:.zj0je1v3 5rth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 mnaw.14b d3.0evkj j5:v . toppzlyeb .. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibri9*xmn kbjy d 6c,,bnduq+p-8lum 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 cm and then reny*bpd dc u8qm jl xnk,+b-9,6leased?

  A 4.0-kg object is attache do b.*bu-lb uxve:rsr6jye4 *i-1zi0d to a spring of spring constant 10 N/m. The object is displaced --*z oilx.b4 uvbb syi16 *:eur0d rjeby
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. Tj( exnmu ljtef, i)y) )ue9p)i9wry0 )he object is displac9r u()wymf )i) yit,xjj lee9)0epun) ed 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 sp+lu+ aft6m7pnk:6st xg l, ba3ring constant 18 N/m, displaced slightly from its equiliblxa:al g fb ,6p3sk n7mtu++t6rium 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 Hz when d i/*5nyow) fj1,ucdilvg xx;1 isplaced a distance of 2.0 cm from equilibrium and released. What is the maximum velo/1xcfi, *ivy wgxdnuo ;)5j 1lcity attained by the mass?

  Two masses, A and B, are attached to different s;ob5vuk jgjm3y431y q ex: p*aprings. 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 yvuga*1 e3m3qkxjbo j:54p;ymaximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equu:96yxt pr9f:ebjohz1z: zu/ ilibrium the mass stretches the spring 2.0 cm do9 /hze6:ybzx9ojf: uut:1zr p wnward. The mass is 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 the masv3cl, gk6*e/w w5 rbfhs stretches the spring 2.0 cw* ,g3b fvhk56er/lwc m downward. 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 suspended on a spring. Iym bqw:f-4q3c/y m(njn equilibrium 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. Write down mwn3-/ qmqj 4y(cbyf:its equation of motion.

  An object in simple harmonic motion obeys the following position versus5mr 6w:3fkk8ztmws- w time equm s6 wzwfk5:tw k8-3rmation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harz j:ec694flywk: hln2monic motion obeys the following position versus time equaclw9yn: :zklf4jhe2 6 tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position ver+j 8qk b3kq(o6pig1lh sus time equation: i 3gqkl(81hokbq6p +j
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executesu7ccyu52 1vcl simple harmonic motion according to the equatioc1lv72cyu 5c un $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attachl:bs+ddbkfr5qdn*2r7f ;yq/ ed to spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, t b5 rf2*+ddf nqk7:r;ld q/byshe 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 comple(ge m;zszb0mc3sj1, 2haj ,j ete swings in 8.0 s. (a) What are its frequency and period on Earj3c(m,,z2jase hgjmz;1 ebs 0th?

  A 3.00-kg pendulum is 28.84 m long. What c 9:tlb0) )1tjqmsdgs is its period on Earth?

  A pendulum has a period of 2.0 18y5b uhrowexmj) 10s s on Earth. What is its length?

  The pendulum of a grandfather c)e;f c k0zt9ho2zr7yclock is 1.0 m long. What is its period on the Eark7 f)9e2oy hcrzt0 cz;th?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Mnvv6xx;5-ro mzo8sl -oon where the acceleration due to gravit- 68ro sol-v m5xv;znxy is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical na 3r()ohrfh,x .ed9cmass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the .(fe, )3o9nhrdrxhcapendulum 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 inizgxhb* n +x8f7tial angular displacement of 8.0e. Ix7hf* +znb gx8t 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 wave at a given tfwtbp( 7,xpo)-1orup; dlq j5ime. The frequency of the wave is 120 Hz. What is the x w1pfr,p-ub) pt7ld;qoo(j5amplitude?

  Figure 11-2 is a "snap3m-y o+xve waaa3df 3(shot" of a wave at a given time. The frequency of the wave is 120 Hz. What a(3 dmf +a-voaw3e3 yxis the wavelength?

  Figure 11-2 is a "snapshot" of a ebe79 61ockqi wave at a given time. The frequency of the wave is 120 Hz. What is the wavo 6ebi 9e1cqk7e speed?

  What is the frequency of a wave which has a perioxxjy8n8l p yhnq8y. s/hn+(8l 3 gx7qod of 6.00 ms?

  What is the period of a wave with a frequencwk+724 mqc/6w7vfb wtwbs a0 gy of 1500 Hz?

  What is the wave speed/eusv7f xe/(brh6yhg82cf2 s if a wave has a frequency of 12 Hz and a wavelength of 3.0/fy/fs 8e 2 2se(gbhhur 7x6vc m?

  What is the velocity of a v1rx d,;+) cqxjiaw 1;iu7uejwave that has a wavelength of 3.0 m and a frequency of 12 a1v j;cqre,j1;xui7 u i)d+wxHz?

  What is the frequency of a 2.5 m wave trav,lbqq :5;aht ud71/,wa12oz v fwpca oeling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 zq2y8,q + n7cp6z/eibzv4zzf 4oaw 4k N. What is the wave speed?ez+72qoqzywac ,8 4zvifz6 /4z kbnp 4

  A string of linear density3e5afuf5nd9l 6.0 g/m is under a tension of 180 N. What is the vel3lnd9 af5uf5 eocity of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is tqnt c aw h))9 *l4kzy2n(a5hrzraveling down a 500 m long wire whose total mass nnlh *r)wcy( 5ta)q92kz z4ha 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 fixed atm6jx1 puf .z+1 fo)kbmc8cra2 both ends is 20.xk2pz8) c1m1f+br6uc fajo m 0 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency tr; yf zf+.m,y 2cbd*cr( 2wmlof 500 Hz, which one of the following frequencic ,c fmt(r2 fzm+ydbw*2l.r;yes can set the string into resonant vibration?

  A stretched string is observed to have fourun:hre)g0 q+ jh5.ac( pg2drz equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equ+ze:a g2hu50j)p(nhrdqr g.cal segments?

  A string, fixed at both et1/on4p2k 8o*4 nkvz gi; ebwdnds, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containd oo /44wznie*;k2 18pkgbt vning 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 ob dho 5wd7vq-681 uysdnotf+p -vp+ 4cf 20 N. What should its length be if its fundamental resonance frequency ist6p7sdw+puv dy-q 8ofo54v1bd h+ -nc 220 Hz?

  Find the first three harm*bu+3/ hyx 8fku5kqga w3;j;ktx)jik onics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected /kk;t8u5wkjix;)xg kh y3fa q 3 *uj+bto tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vidt uc4r4 7uemat 41g.nbrates at a frequency of 85 Hz, a standing wave with du1r .tmct4e44g7nua 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.