The time for one cycle of a p sl2jihof+f iy/ lx(+0eriodic process is called the

  For a periodic process, the number of cyclfnd0a3 9p rd)nes per unit time is called the

  For vibrational motion, the macws 0f5a gonu:f: 9yb8ximum displacement from the equilibrium point is calledcs n9uygaf :b:08fwo5 the

  A mass on a spring undergoes SHM. When the mqsm*px6u* o7bi gwb )z15) 0j kg*bygkass is at its maximum displacement from equilibriumkigy*5x w jou bqs*p)bg* 17kgb 60zm), its instantaneous velocity

  A mass on a spring undergoes +kdkl m a)ltzrd.515aSHM. When the mass passes through the equilibrium position, its instd5k51.a k)a lm+tzr dlantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at mawbz(mob.h1 :8yp vm)e7fz*g y ximum displacement from equilibh8b.* em1g wyf:)z(pb y 7vmozrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down betwnk(i k68 .baee7v9 rjseen points A and B. Where is the mass located when 6kr(ivbk nse7 8.ea9j its kinetic energy is a minimum?

  A mass is attached to a ve jrzq/8+:h w9- r1ub38m moxa q qva.ydzm:n3ortical spring and bobs up and down between points A and B. Where ismqmdq8v.r-obhy/j noa1+ x3r m8q: uzwz:a3 9 the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical6i(yso( v v 0),wqqy 3ezumgw1 spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a minigz,vwuie6swq 3o(my 1 )0qyv(mum?

  A mass is attached to hlsn f*w4qnqac l)6clqw) 4d2mr-.8 da vertical spring and bobs up and down between points A and B. Where is l qr s42lnd-6)nca48hf q)dcml.w *qwthe mass located when its potential energy is a maximum?

  Doubling only the ampfe +m4et;h6 h2q 2wrialitude of a vibrating mass-and-spring system produces what effect on the system rhe22afhqt4 +;eimw6 's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring systxnn g ,-cj7f9ofmp:5 tem produces what effect on the system's mechan57f og: cmxnj,ftpn 9-ical energy?

  Doubling only the spring constan3 z0g8cqbpn/zt of a vibrating mass-and-spring system produces what effect on the system's mechanical en0qz g/n8z3p bcergy?

  A mass oscillates on the end of a spring, bmlf )e80ceu,koth on Earth and on the Moon. Where is the period the greatesel c0 kf8mue),t?

  Increasing the spring constant k of a mass-and-spring system causes poby( 0 fcyx04what kind of change in the resonant frequency of the system? (Assume no change in the system's m4 byp (c00xfoyass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change i2)rp (st copc 0b(vno n1ts8n.n the resonant frequency of the system? (Assume no change inv8(snto s.bpcoc )(npr201t n the system's spring constant k.)

  Increasing the amplitude.vctt/ nvg(qp70 d6 cg of a mass-and-spring system causes what kind of change in the resonant frequency o7( .0pvg / gqvt6ccdntf 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 consists of a mass M attached to a weightless string ofs/ umd3w5:p gah9jyd +q /sgyx.mm,e2 length L. For this system, xdye:/9s wmm,pyh /gj.2 sqga+5ud3m when undergoing small oscillations

  When the mass of a simp* (wm2.yk9ybv s1k alfle pendulum is tripled, the time required for one complete vib s(ay.9k12vm ykb*lwf ration

  Both pendulum A and Bx)xzh 8jdte;3 bwcd b5(;e,mj are 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is th,mz 8ebtd; je;)cx3dhx 5wb(je period of B?

  When the length of a simple pendulum is tripled, the time for gnoe.iwnd9j 7a j+gs 32f2iv 0 hg/* 4rk/xkfqone complete vibratio jk 2vr+4sjgn7gdi/ okg faw 390x/fqin*.e h2n increases by a factor of

  What happens to a simple pendulum's frequency imt7( m4sx* gu nsj2vb lqm w+f5m5xn02f both its length and mass are in x42b 7+snj5m vn0w*ms5lfm2gx utqm(creased?

  Simple pendulum A swings back and forth at twic1rh7ag(r ih vc hd x5.8k.2iy3lsnm +ce the frequency of simple pendulum B. Which statement is correc2arv. 8rg d(s+imyi .53lhn c7h1cxkh t?

  If you take a given pendulum to the Moon, where the acceleration of gr:,7-f ide80ftne ilgl avity is less than on Earth, the resonant frequency of t7:d0 nlfil,teg - ie8fhe pendulum will

  Curve A in Fig. 11-1 represen pcqhs8s*.(3a 0zwocj ltj8 q.ts

  Curve B in Fig. 11-1 represen(j uix; tyjle(g.fm0s:. )bsbts

  Curve C in Fig. 11-1 g.ij p (ra5/wfvx9+* m s8dzqwcg8+xy represents

  For a forced vibration, the amplitude of vibration is found to depend on t0rv4elzp0p z2)svu (khe

  In a wave, the maximum displacement of points of t,r)hc,u; :g b(fqt8wcu5pb;:e gb kqnhe wave from equilibrium is calledubbg enth(q5 rg8,;, fuc);pkbw:q : c the wave's

  The distance between successive c fon:)y5h )ccyrests on a wave is called the wave's

  The number of crests of a wave passing a point per uni8pay qje. bz(a p q+w ;6.io8rq(x.iawt time is called the wave' p bwqoe ;+ qyq.wapi.j.z8xr(a86(ai s

  For a wave, the frequency times the wavelength is the waen.c/z5;rviosuc8zhk dn ) 8yl)x: 4 rve's

  The frequency of a wave in+s,( ra qgu*xxcreases. What happens to the distance between successive crests if the speed remais*(+ qxug,xar ns constant?

  A wave moves on a string with wavelength l and frequency f. A second wa6h( d i05;53c1 rbqtsytj34zziyz pez ve on the same string has wavelength 2l and travels with the same velocity. What is 4ezyi 5 6jz y53tch1zq;3d(sibz0rtp the frequency of the second wave?

  Consider a traveling wave on a ox.mp -ijysp :spj.l/:d+r k4string of length L, mass M, and tension T. A standing wave is set up. Which of thso py-ds j/.r4ljk+ i pxp::m.e following is true?

  A string of mass m andz5 *e00yy-z )wry0 dn8t;epwjrnwf ,x length L is under tension T. The speed of a wave in the string is v. What will be,8r pzn t nw50frzwedyxe;0*0)wjy -y 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 length L is under tension T. The fbln x -kj;evdz 61+a,speed of a wave in the string is v. What will be the spee;zef dax j6l+ -1vb,knd of a wave in the string 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 ow byi4m1;(7ifvgux ,of a wave in the string is v. What will be the speed of a wave in the string if the tension is increased to 2T7,u f4w;i(1iom gbxyv?

  In seismology, the S wave is a transverse wave. As an S wave8ho0u1dzh b05nrs1 oo (rwrf2 travels through the Earth, the relative motion bhb18frohrwro(1 o d0 nus 52z0etween the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels through ,mg 4xk ia:k(ithe Earth, the relative motion between the P wave anik:kg,4ix ( mad the particles is

  The intensity of a wave wg6mpd 30rv4a6 a lhq1esl+s, is

  A wave pulse travelin rtqg-c,jl-;h g to the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is ttl,--g r jc;qhhe orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each othew xz 7u2ietxl4re038 fr on a string, one is traveling toward the right and the other toward the left. At 32wzl0 t e7x urf48eixthe point that they occupy the same region of space at the same time

  Two wave pulses pass each other on ab1n+o js;)yupk n 0i8(b*keax 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 directxuk* o1akb) be0 sjnnpiy( 8+;ion. At the point that they occupy the same region of space at the same time

  Resonance in a system, such aswmj;1ttp g .82wmvva 9 a string fixed at both ends, occurs when

  If one doubles the tension in a vix uz n6:fei)l* 3bns*em -1pfdolin string, the fundamental frequency of that szbef**-l:e)6x1umd 3in nspf tring will increase by a factor of

  What is the spring constant of a spring that st(fp7rjgi m 8 crc55xl8retches 2.00 cm when a mass of 0.600 kg is 885jmpcirx7 c(rg5lfsuspended from it?

  A mass is attached to a spring of springl)y--y-whn2 kv bnb/ a 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 equilibn) -k-y2/b l-yw bhvnarium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizonta po99eu;6urh gl, 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 oscillatir9uue69 ohg;p on?

  A mass is attached to -.s y-zixns6 ,epik gnc*g ta 9(wa l;me5*r9za spring of 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 te96lcg,. gk (n-*;sapz*i5ta-z9 rxwsmei n yo go back to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SH*7t hja6r)veie a 6h3yM. It goes through 10 complete oscillations in 5.i67)j 36*h evetrhaay0 s. What is the period?

  A mass vibrates back and forth from the fre)4 1 c)bavu+zdxgma .a- ydf+de end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic enxg aaz m+ dv+1d )adcu)bf-4.yergy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attach f*jn+:u (ahw)w:om el16hvqq ed to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oe:u 6 )wqfahhv+nl (oq*w1:jm scillates 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 cm. The energy is 8vr,u k n)m))ir8dspq0nc6n+d.0 J at this time. 6,s8k)ir vmn)p0q d+cnudn )rThe 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 ser onno88 )lkcd v32;bpring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speedb832cnd8lo k; nr)oe v of 1.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attachem+wse- l-p 8cwd 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 tp s+ww mec-l8-he 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 spric ,*kpy;jp g;tng of spring constant 50 Nkgp ;*pyt j;,c/m and set into simple 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 hor4,v;yucp 8* );+emjqcz m zgaoizontal spring of spring constant 50 N/m and set into simplem +)qcjgzuc4v*yzpe o;;am, 8 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 ofkax h.a n. uo70ob)6fh spring constant 20.0 N/m with an amplitude of 0.250 m. Whhu 6x ah7.) .okf0oanbat is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displacedv0gbn5ne9 j*f)k hco) 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. Whag fbh c)j)oe*k5 vn90nt frequency 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/mu-*nghi9t *hkk a q 7/jhd4wf). The object is displaced q4kg jdthf/u -**a)9hihnkw7 by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached t z/s/.,he.muf vz.yk pizyc/z*yi i/+o a spring of spring constant 10 N/m. The object i../e /*is/yh zy+vzy z.p/ iu,zkcfmi s displaced 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 181 jea jrfs mdsd bhc;1.+).q5p N/m, displaced slightly from its equilibrium posita;.f .1ss dc hbqmj )5r+1edjpion, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequen-7:n edbymuk-57qv yf cy of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by tfkq vb ne-myd5 y:-77uhe mass?

  Two masses, A and B, are attached to different springs.:xg// q lww;lb Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with;/x qw bll/wg: 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 mass stretches the 6a46jgd zw7ldspring 2.0 cm downward. The mass is then pulled an additional d gd w67djal46zistance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on ap oh) *0h64qfxn2szgr spring. In equilibrium the mass stretches the spring 2.0 cm downward. The ms roh0)x6f 4pn*gzh2qass 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. In equilibrium the mass stretches the sc-7dsz+ y3hzx pring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down3z- hc 7zsyxd+ and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the f-) ikjw.qdszh+b06 4jxm .ahjollowing position versus time equation:sb6x4h- kz0diq+ jj.hmj. )a w
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic nt34f7y2h r wjmotion obeys the following position versus time equfr w y27h43njtation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple har63 qybb7 zrrua9+ypa1 monic motion obeys the following position versus time equation: y+1rba9q7y6zau br3p
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a 6 itn1dd 48zdafw/z.h *nrt s7spring executes simple harmonic motion according to the eqn16hts4n di* fwz.rd/78zad tuation $y = 0.50 \; \sin (18\pi \times t)$ 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 constant of 20.0r82ml4nrwc g. N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, .c 2 lnrgmw48rthe 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 6fx(u c+ kmr5(w+u:j hcd1qkc8.0 s. (a) What are its frequency and period on Eaxd ( ku6 k:1+urw hc5j+c(qcmfrth?

  A 3.00-kg pendulum is 28.84 m lytg y pe98;liv7 (od1cong. What is its period on Earth?

  A pendulum has a periodnf2gaavne0qk8t7+v 88x gl g( of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m longr*xm15xmb *y e. What is its period on the Earyx xm me5*br*1th?

  The pendulum of a grandfather clock is 1.0 m long. What is its period og h-zgn)i81lxn the Moon where the acceleratin1 gi xgzl8-)hon due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spd 8mw26z wa,oiherical 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. What frequency would have resulted if a 0.50-kg maso2w6,z 8di wmas (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacem0 /j8ez,ne og ypmyy *(ut2fk6ent of 8.0e. It oscillates m(knyo /y6f g*j2, e y0p8ezutwith 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 frequency of the wavx9wxr rl(ta,;x+2 qnae is 120 Hz. Whatr,na9(xt;+la 2r wxqx is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequ rd;5v-d,kvp aency of the wave -;d kd p,vr5vais 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequ*22 j xl 8 hkb5gi)iw qg4z,0rqh)scsoency of the wave bxg8rl4ki * g))ziq,h s2jocqsh2 50wis 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00 ms?usq o)yr qwgkh r1 /4njw8 t(5)t7f)zn

  What is the period of a wave with a frequv4r5qu4 3kb8f1 l gschency of 1500 Hz?

  What is the wave speed x6wtvjqk f2fq)8 y3xa;q oo *i2u33jmif a wave has a frequency of 12 Hz and a wavelength of 3.3 fa q2;m j2kwquo3vo)yq3fitx*x86j0 m?

  What is the velocity of a wave that has a wavelength of 3.0 m an+pwn)h8ryt/x9 z9a mmf/v.eg d a frequency of 8z9frngwv/emhxma ) y/ + 9p.t12 Hz?

  What is the frequency of a 2.5 m wave traveling atp-jhx4hapc 2 uvukjz3+z- b23 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is uv.chm/ yui*i,nder a tension of 1350 N. What iicu*v, y/hm.is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is thd3s :jro+* (.fir jghte velocity of propagation of transverse waves along the so (+:rj3tfri s g*jhd.tring?

A wave whose wavelength is 0.500 m is traveling downnx/je,m d6wvj(/u 2clpe;e l + a 500 m long wire whose tot(j jml6dwv/ eec2x,ne +/; uplal mass 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 transve.gc;h8k(6 s yzxvb lu4rse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a r. sbgucxz6; (l4hy8 kvesonant frequency of this string?

  If a guitar string hasxd0i(3a*f1cq r bt( 4y 6yxdlu a fundamental frequency of 500 Hz, which one of the following frequencies can set the string into r61q c rl*x f3(tuy(d04iyabdxesonant vibration?

  A stretched string is observed to have four equal segments in a mryrk36k0d3b:oy zez-an5f8 standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with f m83k- 5 b dfkyz6eryrna3:0zoive equal segments?

  A string, fixed at both ends,9ijnmog (t w+nx + 8-,5/mdibsfgok 7y vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the g y,s5g ni+kmn(-b d/7oo9fijw+ m8tx standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should i8 pec)yr zgag;zajak(z5.a3 1ts lengt ;gzza (kg3p5ae.a ay) 1cjrz8h be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densrq5qn(- /zjm z yz-d*rity 2.00 g/m and length 0.600 m when it is subje zzqqm(-z*-j/5 yrdnrcted to tension of 50.0 N.

A string of length 22ro +gl9lct:w*l t;2 2bb vb6rmi; wdz.5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with firm9tdclb bog2 l2lzv;6bwrw;:2 + t i*ve 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.