The time for one cycle of a periodic process is callcv(hwq o 7q ;dj/(wqqm wwdru oz09f7:q3qf;.ed the

  For a periodic process, the number of cycles per ;hntflnt8a5 6 unit time is called the

  For vibrational motion, the maximum dispdhligdey+2dg9.7v-7 3kpsrvgg k + s6 lacement from the equilibrium point is calledg e 7gl7hd96y .sr g3+id-kkpdvg2+vs the

  A mass on a spring undergoes SHM. When the mass is at its maximum distu:9yqe *clr5placement from equil:l9ryc5qe* ut ibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through th/ dr3yfqgd1w-ph gg0( e equilibrium positiongrq 3w0d(yp /-1dgfhg, its instantaneous velocity

  A mass on a spring undergrfdtu+37, sod9,knn f oes SHM. When the mass is at maximum displacement from equilibrium, i3ft ,un9nk+ so,r7 dfdts instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points 1wc so:: dvxm-x2fgvs4 hx 64fA and B. Where is the mass located when its kinetic energy mfx4wxo 61vvc4g: -fs:sdx2h is a minimum?

  A mass is attached to a vertical spring and bobs up and down bet(x7lf n 9ib;k3smv)cpween points A and B. Where is the mass located when itc 7i(vsk b x;np3f9m)ls kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down ;f+7t i s q:;okf0evyhbetween points A and B. Where is the mass located when its potentis7;v oeyf :0 +tifkq;hal energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pn:le cm5 0rrq7,hacki 8mgm)+oints A and B. Whererncr)gem5kmi c mha8+:7l0, q is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produc gw1pa+y/0fames what effag+/y0 wp1 afmect on the system's mechanical energy?

  Doubling only the mass of a vibr; 7qgqxn* 5skkating mass-and-spring system produces what effect on the system's mechanical e;*k7xn5 qqskgnergy?

  Doubling only the spring constant of a vibrating m mzl4 rk3t- - o/dogjow*tkkz l-9+9fdass-and-spring system produces what effect on the system's mechanical edgkdo3o9wo+9 zjlkk-* t z/m lft--4 rnergy?

  A mass oscillates on the end of a spring, both on Earth and on the 7 u6h)k) qlrr 6qm*uvfMoon. Where is the period the grea) f 6q*ur76q)vlr mukhtest?

  Increasing the spring constant k of a mass-and1n7i s xc :53 rt+rn.wfeg(bi*rkz znt:)pq6 d-spring system causes what kind of change in the resonant frequency of the system? (A rtzbkr c:.(ieidnx5tq+ rszf7g*w: 1)3np6 nssume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causrpkt 3x2n 38aphk4 1oees what kind of change in the ret3h1eo pr 82k3pn 4xaksonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sj3r3e(pp /9jnu ptaq 7pring system causes what kind of change in the resonant frequency of th qtn pep9(/a3rup j37je 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 of a mass M attached to a weightless string of le :ht/w.fdz twu+h m/9/bxsn8 mngth L. For this system, when undergoing small oscillationz /w+m/msu 8ttdn9w.:hbf/hxs

  When the mass of a simple pendulum is tripled, the time required foru 86bam i6p:yksgki ym.7(rh 2 one complete v( ru yih6pm8:b 27.sgm6yi kkaibration

  Both pendulum A and B are 3.0 m7wgq1( cr oh3v long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is thgo1(qr3 ch7 vwe period of B?

  When the length of a simple pendulum is tripled, the time for one complete vig+20t 3rvzdfb(i2wwp bration incp+rz v (20wi32gbdf twreases by a factor of

  What happens to a simple pendulum's frequency if both its length and mass aybk3b0+9u3ohx9b8 cup p4 qnz re increasq uu93oxcbb0p98zb4nky +p h3 ed?

  Simple pendulum A swings backm7p9zb u pnz5k;(ycw 8 and forth at twice the frequency of simple pendulum B. Which y5 c(kpzpwm7bu ;n 9z8statement is correct?

  If you take a given pendulum to the Moon, where the accelu09p ms9t ci 3cs w6h(iwx,tz+rx0yhs(l6b . keration of gravity is less than on Earth, the resonant frequency of the pendt+. sizi0p3 hch (stx9ks0 ux9 6lb6 ,m(wrcwyulum will

  Curve A in Fig. 11-1 re; olw+l:q ap+ qyi5q)p3(bzw qpresents

  Curve B in Fig. 11-1 represen m -/sexq8yz21k/ubbz ts

  Curve C in Fig. 11-1 re;ip2 he/7 whucuq0+,ju:/ bqu9giwv ipresents

  For a forced vibration, the amplitude of vibration is found to depn*wi eb c:wvmc75u5qahu l/l1+nws* 8end on the

  In a wave, the maximum disdy/435jae /1 bicldgj)w hn-s placement of points of the wave from equilibrium is called the wag-35/sjj )/wlb4nyh e1c iddave's

  The distance between successive crests on a wave is ca483y 8i fivqvflled the wave's

  The number of crests of 9f*) b m )xo m,oyjnhp9ljrw55a wave passing a point per unit time is called the wave'sbhyf)x,5 p9j5lo)n * 9mr wmjo

  For a wave, the frequency times the wavelength 0i;h52vbl2hhfir q 5 vis the wave's

  The frequency of a wave increases. What happens to the distance between succes1x.h,bgdsnsd+(r15agxlt9v*a p5 iu sivn* +ih, d gtx sp 5(l15ab9gs1xua.vrde crests if the speed remains constant?

  A wave moves on a string with wadev g:a9f5acyj*.xwfu- ;gw-velength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity u*ew5.fx: -vyaa9jdfgwc;g-. What is the frequency of the second wave?

  Consider a traveling wave on a string3u5gaexy(c cop4- meie2 ht-eeza: :1 of length L, mass M, and tension T. A standing wave is set up. Which of the foe:auxoe314 hce2gz ty(eac -pe5i- m:llowing is true?

  A string of mass m and length L is under tension T. The speed of a wave in thnx.e++dftl-0ii a7 lh e string is v. What will be the speed of a wave in the string inx +i.d7lh tl +if0e-af the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tensioh(cubwnlg 9 r*( n96m.i y8v2so c-7aclsemi, n T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the lengt l2snsch7899 -rlw 6acbgm*( .ymovn ,iuc(eih is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension ,n9 wnujeo3gz /oa;j:T. The speed of a wave in the string is v. What will be the speed of a wave in the 9ez:nw3u/n oj,g;oa j string if the tension is increased to 2T?

  In seismology, the S wave is a tra tjl 2m9 ylc4ne5w;k.ynsverse wave. As an S wave travels through the Earth, the relative motion between the S wave.cyjnem5lk t; l92yw4 and the particles is

  In seismology, the P wav 1b iz4g4x+epye is a longitudinal wave. As a P wave travels through the Earth, the relative motion beti+p e4x gz4b1yween the P wave and the particles is

  The intensity of a wave l 0 o-ntmz+2xa6 4iuyjis

  A wave pulse traveling to3he:l,sbaeay6i4k .v the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulseib sk4ve6.y: 3aah l,es?

  Two wave pulses with equalc0xj3 th16 j oawl.xu6;ex)xx positive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupyu 60w1xle oa xx;xjh.jtx)6 c3 the same region of space at the same time

  Two wave pulses pass each other on al epbkb x1yz/:.gn:p9 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 samen 9:xg1p:bk/lz.ypb e region of space at the same time

  Resonance in a system, such as a string fixe3dwmk 5o 7i8bac z/jr+d at both ends, occurs when

  If one doubles the tension in a violin e-gw rw -t4 6twtf/r0nstring, the fundamental frequency of that string will increast/r f-tw-6wgr4netw 0e by a factor of

  What is the spring constant of a spring that stretogel e o/u)-w)ches 2.00 cm when a mass of 0.600 kg is suspweo-e)lu) o/g ended from it?

  A mass is attached to a spring of spring constarb y0.znoss x1;fgqj z 20v7r1nt 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N z2g1.0nf7svr r10jsxbq ;yozon 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 spring constant 60 N/m along a horizontal,2.n6 sw ug4uwh 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 whenh6ugu w. n2s4w it is oscillating. What is the period of oscillation?

  A mass is attached to a sp y,i 14se oza50 qz3:iff/rjvhring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a forch:r5z fai,04/j 13zyvqofi e se 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 undergoesxc+3w s;l bnc2 SHM. It goes through 10 complete oscillations in 5.0 s. What is the pec;wl+32c xsnbriod?

  A mass vibrates back and forb 9kcqzi5l-,rth from the 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 mass when it is 0.30 clriz9 q5-bk ,m from its equilibrium position?

  A 0.50-kg mass is attached tw wl;t8)ifc u:-ed,zdo a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillate:)wew- d clz;,dftui8s 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 cmsdp+j npdhh9qe:83s. f ;+m ge. The energy is 8.0 J at this time. Th :qnpe9phsesjgd3+8.; hfm +de 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 now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alongsar7joh bx524 a3k(ee a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has7e a4 h2xae3(5bkjros a speed of 1.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a hovip-uzs/ 2m5gml1d 4; f e5whvrizontal, frictionless surface. The object oscillates in sm5v- vd5lpez /g4fhiuw ;21msimple 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 x+fbcam vs:b8a, aehgki4u8vql) 53;a horizontal spring of spring constant 50 N/m and set into simple fa4 uvmikgqah,+:svb8be8)ax 53lc ; harmonic motion with 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 horizontmmb l8)3 qen2*2 w gc(w) ybgo)p:mpsjal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 8m2(q 3 pem)j)*p gwl)y gmcbw: n2sbo0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of kvu/a, uw6r/ ke 1wu4dan ideal spring of spring constant 20.0 N/m kduv ur 1u//4a6ewk ,wwith 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 displaced 10 cm from ic5 nt8a ax.1vw vrc+0fts equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be obser fv5t18.ccr nwv0a+ax ved if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of springj d,6/ndnqqn3/ ttmgy5c3.+ ceg3zx p constant 10 N/m. The object is displac3pdn3 t ed,mx.ctnz n5 jg6cqq//yg3+ed 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 spring of spring constant 10 N/m. ux k 0-wmqdu(( The object is displwqu(dk-(0 xu maced 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 sprilckvlb1k 8in* /n)9dx 3 unyv7ng constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibrd 9vnckylnvn3xl /i71 b)ku*8ation?

  A mass is attached to a spring. It oscillates at a frequency of t :8v0m 1c qie/) v3wzuz-evaj ;hkoi81.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum veloeo)vtzc80iehkw uv- q /8;i m3j:1z vacity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A xqdn)h.3rc ky nvlo)c-,v98qu sx7 s7 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 frequenn7s- .svdlqc )y 9vn87)cx k3xrqu,ho cy 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 mass stretches the u;*m2cvq yhz4uowy8m(7li gjr58 *oy spring 2.0 cm downward. The mass is then pulled an a iozqmy2rgul;j4y5 7v8yo8*h u*( cw mdditional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suut2atz5. hhl, spended on a spring. In 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 h2,tz 5ht.alurest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the,q+0ge.q ixvv 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 its equation of motion.,qx vve+ig .q0

  An object in simple harmonic motion obeys the followa 33zvt3* wwvsing position versus time equ 3wvat*v3w3s zation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion oxd t5r9,;2fxzl nutp+g4e(v )u mmcm 1beys the following position versus time equatn95 up, 41m)e (xz;+gcdvf2xtltmr muion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the ;c5vdzwubdp-11lav pg4b,m3 following position versus time equaw1b,4a1 c5blvzgdpv -u;3dpm tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end ev*gi g8 4:bwrof a spring executes simple harmonic motion according bgwg8:4 rv ie*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 witu20az a,er xclnbp 8r-scn4/+i fy7e6phio9 0h a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, thnsu 0ih p2pel6fr-i8+/7xc0boc n4a e az, ry9e 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 swings in 8.0 s. (a) What are itkra4a-eidb2r7nqo:j 1rb )c 3s frequency and period on b)3aqeod nb4a r7rr1ikj:c-2 Earth?

  A 3.00-kg pendulum is83kknm( : o dvavs4/xg 28.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. Whak2avfijbba9b01 a52 w t is its length?

  The pendulum of a grandfather clock is 1.0k7bs*)bi kf m. m long. What is its period on the Earth.)7* ib kmsbfk?

  The pendulum of a grandfather clock is 1.0 m long.,0yj 8olulip2-a0coq What is its period on the Moon where the acceleration due to grqui0 0loa28oc ,lypj-avity is only $1.7 \; m/s^2$?

  A simple pendulum conkp(: rogsw5x4sists of a 0.25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium positiox w:rp s(5kog4n and released, the pendulum 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 anguizt tg818dr *yg7tn4 jlar displacement of 8.0e. It oscillates with a period of 3.00 s.jy 8ng ir87t*d1gtt4z
(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 frequency of the wn/o)xlottdj 27o p;d4ave istnd /ojp27)xldo o4t; 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a givxv-gs yvf2+:u bem,r.en time. The frequency of the wave is 120 Hz. What.xe-vv us:+2f,yrmbg is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at ag40 3eezh6 tma5j*n zm9wc3jz given time. The frequency of the wave is 120 Hz. What is the wave speed?mt0h3*zn96jwag 4ze z 5mje3 c

  What is the frequency of a wave w ykdry(16w4 .qfrg0lihich has a period of 6.00 ms?

  What is the period of a wave with a frequency ofgltmkmtcmpq2, )n 1cv3c1 i)- 1500 Hz?

  What is the wave speed if a wave has a frequency d: q:-nkj4z 1z2jyz.x xnu*hdof 12 Hz and a wavelength of 3.0 xx h*z1z.4:qnu-d2 d n:jkjyzm?

  What is the velocity of a wave that has a wavelength of 3.0 m and/- +pa7oxocnc a frequency of n+7pco /-c axo12 Hz?

  What is the frequency of a 2.5 m wave traveling at 1d:5g: wu tuqbv2 d;u4j400 m/s?

  A piano string of linearv,rye*:nn. br mass density 0.0050 kg/m is under a tension of 1350 N. What is the wavrv. bn,r:nye *e speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. Wha)nolp3ltt: i -79pto rt is the velocity of propagation of transverse waves along the stt-op9tlin7 3 l :o)ptrring?

A wave whose wavelength is 0.500 m is traveling down ajch6luj3lx 7 946vwxt 500 m long wire whose total mass isht 46vlxwju9lj7 c 36x
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 wavecrh)q/gis ()xjkxd:1 on a 2.0-m long string fixed at both ends is 200 m/s. Which one of dsk)(x 1rci :h/j)gx qthe following is not a resonant frequency of this string?

  If a guitar string has a fundamental : hh8:ku1k1.na-ddkb g mnbj)frequency of 500 Hz, which one of the following frequencies can set the string into resonant8uakd:h1) j:bnm1-.dh kgb kn vibration?

  A stretched string is observed to havmlk6urknr u/0m4hl53 e four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standi k/ul u rl406m3nhkmr5ng wave with five equal segments?

  A string, fixed at both ends, vibrat/q7 rw:owb( y owf/1fles at a frequency of 12 Hz with a standing transverse wavey( f:w1wb7f/q /rolow pattern containing 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 o-.(3 hgnnfuli9 sa6py f 20 N. What should its lenls -963a(. fh pnguiyngth be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of l 9j9zqofq0393j8lt yolg+ 3ctev/ nctinear mass density 2.00 g/m and length 0.600 m when it is subjected to tene9 /lj0ytqct zfvc39q83+93ogl oj tnsion of 50.0 N.

A string of length 2.5 m is fixed a1uc8o nkyl 43+ gke8,jwf -pvlt both ends. When the string vibrates at a frequency of 85 Hz, a styov1g3k ,lpe8w 4nkl8jc - fu+anding 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.