The time for one cycle of a periodic process is called thdzag-tgow3 p*tpz :q, b 3(/fre

  For a periodic process, the number ofyzo5 2)bozor- cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equil// -nyku:; fextdl 9igvm9s p/sbb 2q;ibrium point is called t/s/; msv e- /iukp 9btyldf; bg9:nx2qhe

  A mass on a spring undergoes SHM. Wftcf 2-8+jeca hen the mass is at its maximum displacement from equilt8cffc +2j-ea ibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mae gsq-f +yl48eiz3p*6 xx5 ksjss passes through the equilibrium position, ieeq4pl*xzgx5 s3ys8jk -f+6 its instantaneous velocity

  A mass on a spring uny( hbjjg+ +inu-q ddb9cn2p-2 dergoes SHM. When the mass is at maximum displacement from equilibrium, g9nb(2i h+2up nc+b- dyqjj-dits instantaneous acceleration

  A mass is attached to a vertical spring ad c; 9l*jlsux7nd bobs up and down between points A and B. Where is the mass located lc* s uxd;97ljwhen its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs c3 *kd o09mlf nk.ck-uguj91h up and down between points A and B. Where is the mass located when its kinetic energy is a maximu9u-jh kf13guo 9kc*k .mdcl0nm?

  A mass is attached to a vertical spring and bobs up and down 6 dcs/l)ry/va between points A and B. Where is the mass located when its potcdrl /)av /6ysential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A 87 tg4h(a-p)nltil no and B. Where is the mass located when its potential energy is a maxtn-4i nlhl) o(p78a gtimum?

  Doubling only the amplitude of a vibrating mass-and-spring system producem+x h jqo-o+.zs what effect on the systeoz.-+jx+mqh om's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spri6i 3y+jaxv9 fing system produces what effect on the system's mechanical enfv63ij9+ xayiergy?

  Doubling only the spring constant of a vibrating mass-and-spring system producej,me*nuxx; s/ w 1vbh9,ry :zis what effect on the system's mechanica *swm,;z h9,rjux1yen x/bv :il energy?

  A mass oscillates on the end of a spring, bot3om *ehl; .vnx9,xzud hge o((h on Earth and on the Moon. Where is the perio enh(oxd*l3( gu vhxo9z, e.m;d the greatest?

  Increasing the spring constack7vn6ale 5 1uf g,z0o0amg4cnt k of a mass-and-spring system causes what kind of change in the resonant frequenemc1vgca047oz nl 60f5a g, kucy of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causesk) 3xyp-63u .yisrmjk5-ayq r what kind of change in the resonant frequency of the system? (Assume no change in the system's spring constant k-k up6y)-3ry3j rsa xyqkm.5i.)

  Increasing the amplitude of a mass-and-spring system causes what kind of cha )tdzio5h0hm* nge in the resonant frequm *o)ih5zd0 htency 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 consists of a m:xzh dkm0+1)zna6 sifui2nx /ass M attached to a weightless string of length L. For this system, when undergoing small oszi0)uxa1/:nx mnk+ fh26 sz dicillations

  When the mass of a simple pendulum is tripled, the time required for one cog rw3tbq/(, 0ruwl9zp4 v4tlamplete vibrationvw/rlp qu9lw 0t(t4brzg 34a,

  Both pendulum A and B areoskmbhoeb2sn24e: q; (j o c,: 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the period of B?2:oq senbb( 4kseo;mh,:2ojc

  When the length of a simple pendulum . 8(6knapbkguz hxs ilr ,/3x35cr(nois tripled, the time for one complete vibration increasl3xr5 ks anpr/x8 6ug3.(ozbk,( cnhies by a factor of

  What happens to a simple p:c:.fy mp w*qvhqo;yte3e ;;qendulum's frequency if both its length and mass are inc;yvow;e e.q;q*: t 3fhqmp c:yreased?

  Simple pendulum A swings back and forthtwkl ux 2 +9o:n;lnis0 at twice the frequency of simple pendulum B. Which statemel :txo 2s0+;nlik 9unwnt is correct?

  If you take a given pendulum to the Moon, where t, gjzz:+yv w1ahe acceleration of gravity is less than on Earth, the resonant frequency of t zg1a+zy,w: jvhe pendulum will

  Curve A in Fig. 11-1 reprk rn*g e h.:z6o+pfyb:esents

  Curve B in Fig. 11-1 representskx/)q 6u/(pkdo r pfe-1 9ogsn

  Curve C in Fig. 11-1 ri4ct0x zf2zsbbv9 5t +epresents

  For a forced vibration, the amplisa ju89w/db 8vtude of vibration is found to depend on the

  In a wave, the maximum displacement vo7v:ezg e 1.vkr8la9 of points of the wave from equilibrium is calzrv7g 1voe 98k.:vlealed the wave's

  The distance between sk* 9sylxu/o-nvh 7a9s:lb*e b uccessive crests on a wave is called the wave's

  The number of crests of a wave passing a pwyohjl*fx vm7 ;0pkn7 2w5- nroint per unit time is called the wave' on2kw -07lw7v5rm* x ;hpyjnfs

  For a wave, the frequency times the wavelelh8vycs9n k;- ps*, o gib;l-pngth is the wave's

  The frequency of a wave increases. What happens to the distance between succe,z;6tl* 3k ;q3iluk r+egufwqssive cref*k q z; r3+ 6kwtglil;ue,qu3sts if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave oax qj,+tf*l9 .xx5s qtn the same string has wavelengthxj5l9qatx qs+ xf.,t* 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, a)7fzb8ykq d;h nd tension T. A standing wave is set up. Which of the followyzfk8 7bh;qd) ing is true?

  A string of mass m and length L is under tensvvy3chk/ v2a4 ion T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the mass of the string is inc2vya4kc /h3vvreased to 2m, with no change in length?

  A string of mass m and length L is under tension T. Thee4q r zta(l.z95aw:m w speed of a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with no c:rqa ze.l z 4t(w59wamhange in mass?

  A string of mass m and length L is under tension T. The speed of a zhmv+ +x,ug/swave in the string is v. What will be the sm,g/hszvx ++upeed 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 wave travels th( n t/t8-n, 3lcfevhozrough the Earth, the relative motionln(8thz3ecfo-,v/tn between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave.vy1 ut+l)4smj u8zgieke.,- q As a P wave travels through the Earth, the relative motion between the P wave and the partice4mgzjl+,)- su8.tiuk ve 1 yqles is

  The intensity of a wavf2h7vo yf w32qe is

  A wave pulse traveling to the right along a thin cord reaches a disc 5e6 j6vvn b6-cgbbh*uql 00obontinuity where the rope becomes thicker and heavier. What is the orie vhqbb66gb5-bc0ovn 0uj l6e*ntation of the reflected and transmitted pulses?

  Two wave pulses with equal jrw2r8, ot ;ccpositive amplitudes pass each other on a string, one is traveling towarc2rc8 j,r t;wod the right 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 traveling toward the ro8ygdm)485.u b ebgep1)pny kight 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 remdyn1 b. 8uyb5)pe o)4g g8pekgion of space at the same time

  Resonance in a system, such as a string fixed at both ends, occurs 7so7z azo8q +9:ll;vp) q wrm4qn taa*when

  If one doubles the tension in ar/- ,4azqils x8o8cmq violin string, the fundamental frequency of that string will 8l,-mqoi48s q axzr/cincrease by a factor of

  What is the spring constant of a sprjezyd2gzyrbhom 0 d+* . 5).dhtg;2vming that stretches 2.00 cm when a mass of 0.6dt.rd y m2ozb.myhdjh)gz0;v+e2g5* 00 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m alon x37st1d)lktn+t u p,pg 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 mt px 7n,)du1t+p3ltskass 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//pomp t h. bb(h 39dg+um.rgg,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 god.m ,hbb (hggr+p9mug 3t .p/o 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 along a -0q: ouh7 twb d)5;jb3.shhskg3pqlshorizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It dss: ;b.3gkp tl)530qubh 7qo-j shwhtakes 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 under(d wk 99;cbbocgoes SHM. It goes through 10 complete oscillations in 5.0 s. W(;9bcw 9d okcbhat is the period?

  A mass vibrates back and forth from the free end o1iecoftwaupg)jx :culso,( :yg;zp :99g 7/ gf an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating icsg1p/::eau oclzpowt x,(7ug g)jg;9:y9fmass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring conocnfryf ;6r2/ a5u;nsstant 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 equiluna5ffr;y2r csn 6;o/ibrium position. What is the total energy of the system?

  A mass undergoes SHMlhx 97 h9p-stv6w0 d,fxu1hsd with amplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in hah0dlpf6 vs ,sx 9dh7hxut 91w-lf, 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 sprin8bgk5la mdy68 /lh l3qg of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harma/l3lb ymkg q 8l5dh68onic 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 attached to a spring of spring constant 20/.sqhum : d8lf N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic mlu q.: f/hds8motion 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 .xd zps 01n(d.ulgj(t to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplit nls p.ztudg(j0d( .x1ude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attachet uew b 7nywi* g317clndb-8:ud to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 nc 87ube nwg- yiw37bd:lut1*m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the fregp f0 .tksq/p;e end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. Wpt /qs gp0.k;fhat is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium pos/z vc r 4uxu:5h)ly*vrition 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 th)ulruz/4: h cyv5*xv ren released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. .:zsi m7383k+erqbt 1c uyopn The object is displacedi3kso+3 cyzm7b8pn1:qeur .t 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. The obosl:4/vq)n+p0x tw ft ject is displacedtl40 n /)qox +wfp:vst 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 sprih5lj/jw;p u3l ng of spring constant 18 N/m, displaced slightly from its equilibrium posu 3jw jl5plh/;ition, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency ofa3k3 ganqlr// 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity atta/lr3 3 ng/aqakined by the mass?

  Two masses, A and B, are a 8;eehjxwqj1cea.(a u)neyz 7 8jhw)1 ttached to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10h)a7y)u jej1x.(nz8h8ww ;jc1e aeqe 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*8v*hm**o8b/aqc gp ya xp7vj 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 cx ygaoqp7vc8*8*a h**vmb jp/m down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended oml50 bf z/)eahqm/ ralzq,/ 6nn 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 rest. Calculate the total enelqzb5f,h// m 6l/en0 q )rmazargy of the system.

  A 0.30-kg mass is suspended on a sprin-(w uj:yv/:js( h-jyu )fce;lgiah8 xg. In equilibrium the mass stretches the spring 2.0 cj cjeu- v yfg-i)a(;h:hxl:w8 uj (ys/m downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the foll+hrs4m ki1q8(r wrp gmw/ d zv/p4pb/jrl/1d 4owing position versus time equatis4 //pg dvqwr/mrw pk+jlr8(d 1/z4 pmh1r4bion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus0h/s, iwgsi- 1-w zppo time equati,/h0--zs1wwpii op g son:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple hg(bceb8i : u /n)2* 9xu avuaetwm*e1f9t*zsnarmonic motion obeys the following position versus time equation:*tnxwv9u**) ub8/aaf 1mtg2isn(eeb u9zec:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spr2z-n x ()op pwe.c6xjb: p7d (xp*jqnuing executes simple harmonic motion according to the equationx c().x:b2- nw7pnzq oux(6j*j pdppe $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring with rq0sj6 8wz4fwr: ri j6(r1ciu ctg+9 ra force 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 wj 66 +gc tr(wzrf:4i09c1jirqrs r8uis, 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)ldpv*0- c)j2 nr*tk db What are its frequency and period on Ea 0-*b*kd)n d rp2jtvlcrth?

  A 3.00-kg pendulum is 28.84 m long. What is iu(6m) slegg5 qnv r,d)ts period on Earth?

  A pendulum has a period of 2.0 s on Earth. What isbdto j pd02*m)pc ;+p0xbqc,f its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on tkpxxc*e (pdzq .3*x)dhe Earx qp. x3p)*xk(z edd*cth?

  The pendulum of a grandfather clock is 1.0 m long. W6 jj4zxng11tpvge j5 /4b ak-yk03zsv hat is its period on the Moon where the acceleration due to gn s kp1/y 1t6xbj4gj04 kjv53-gvzzearavity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spo4p a1wc0 ; 9feyeia/9ppak4wherical 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 frequena401/cpfia;kyo p499 w ewa epcy 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 f g nt)c6* zludouv/o/v5v: p.20-g mass has initial angular displacement of 8.0e. It osci// u n fv*t)vcg5oz.6 u:lpdvollates 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 frequency ofvdc55 pzr.v5h ae7.wo the wave is 120 Hz. .57hca.d5 owev z5p rvWhat is the amplitude?

  Figure 11-2 is a "snapsho )0ubdbaw +mr,t" of a wave at a given time. The frequency of the wave ), wb0rdba +umis 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave aawi5m/z be(cw mt j+ak(:-hg4 t a given time. The frequency of the wave isw k/zmi(tag4ewb 5m c+a-h:j( 120 Hz. What is the wave speed?

  What is the frequency ofl 6gt*w7 u0a hsa0qvw6 a wave which has a period of 6.00 ms?

  What is the period of a wave with a frequency;n5/n 50iiayugl ecp 4 of 1500 Hz?

  What is the wave speedhhs4m 9 o;x, w6*gyxgj if a wave has a frequency of 12 Hz and a wavelength of 3.0;x,69 shjghx 4w mgo*y m?

  What is the velocity of a wave r3t2q -gzuax 8hm-tv7 av75cm that has a wavelength of 3.0 m and a frequency of u8 zm cvgvah-tq tm35277xa -r12 Hz?

  What is the frequency of a 2.5 m wave travelis.opmss1+s4c)hyd+fv x lo 6x(gk v/9- sg+qgng at 1400 m/s?

  A piano string of linear masjytwyufn(w g1) *2 t7gky 7-b 4fhecf8s density 0.0050 kg/m is under a tension of 1350 N. (tgwy nf2jeyykg w)h7t8 -uc7 1 bf*f4 What is the wave speed?

  A string of linear density 6.0 g/m is under a qmgar pn)dy+65sst9w3tgu 1. tension of 180 N. What is the velocity of propagation of transverse wa gpu)5m 631t9s.w gd+asq ytnrves along the string?

A wave whose wavelength iqu.vwlz +lod6/1xsj 2jl3:v cs 0.500 m is traveling down a 500 m long wire whose total m:lx2j1 v6sl.ov / wjzlq+d3cuass 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 onc w+8myv 7;ku7s:e rzn a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency ok zceus7r :nm 87;wvy+f this string?

  If a guitar string has a fundamenta a ( v6w5u9ib 2ech gi3o4wl;gt(fice/l frequency of 500 Hz, which one of the following frequencies can set the string into f 6ie cebuiw(34 ih2v cgo5/ (9;tgawlresonant vibration?

  A stretched string is observed to x4l ec.0(osx) p wa-cchave four equal segments in a standing wave driven at a frequency of 480 Hz. Whwceal cx4.0)s -pox c(at driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both jrr o*n2aoc) /ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containc/ roroj)*an2ing 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 o4b)jr+pw komwn +x9 )m gh5j*af 20 N. What should its length bex4wkhm mj9+g +w5)r pnbj*a) o if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of ljhy5mpr2p4 ,0qvj9f ninear mass density 2.00 g/m and length 0.600 m y9m 5hnfqjp2vr,j 4p0 when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string d0rdxvq3,v8zc r98 ,y anf7gzvibrates at a frequency of 85 Hz, a standing wave with five loops r870,fqy9xdcdrvv83 ga z zn, 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.