The time for one cycle of a periodic process is,; yhlzlhg,,lr+ m) em called the

  For a periodic proce-r/mll sn*1bkss, the number of cycles per unit time is called the

  For vibrational motion, the maximum displa96pg5s l 3ygi+ a+aqipcement from the equilibrium point is called thsplqa+ 53iy6 9ip +agge

  A mass on a spring undergoes SHM. When the mass is at its maximum dii(dxb*l(i v3k splacement from equilibrium, its instantaneous velocbd3 (v(*lkx iiity

  A mass on a spring undergoes SHM.r*sv h;c4(ef f When the mass passes through the equilibrium position, itshrfs;( 4c f*ev instantaneous velocity

  A mass on a spring undergoes SHM.+z*p v)dqmg093 rvi ki When the mass is at maximum displacement from equilibrium, its instanvm3z)9kiqpd* i+gv r0taneous acceleration

  A mass is attached to a vertical spring and bobs up ai z*tn e nvvne3 )s3zf(g,-;mpnd down between points A and B. Where is the mass located when its kineti en gpz f,-ns*vm3;n e)tv(3zic energy is a minimum?

  A mass is attached to a vertical spring and bobs up a+cdsv ;l +i;be wxm18end down between points A and B. Where is the m b1v+cw8xle e;;ids m+ass located when its kinetic energy is a maximum?

  A mass is attached to a wuf88 l3cdz02x,8wx hutnk . s7sde (qvertical spring and bobs up and down between points A and B. Where is the mass locatf( 8d87ts,lh zcwwqdk8 0.3xnux use2ed when its potential energy is a minimum?

  A mass is attached to a vert ue.e:m y2xzy so+:6jbical spring and bobs up and down between points A and B. Where is the mass locat:u ey o.yj :b6zsexm+2ed when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces whatv 3 q w,-iewdwe/kcy/- effect onvw 3-,iw-/ee/yck wqd the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring systemtkpu . jzlr1/* produces what effect on the system's mechtk*/ j.1zp urlanical energy?

  Doubling only the spring c-(4zie, a 7c ra elt+n),amsmfonstant of a vibrating mass-and-spring system produces what effect on the system's mecha+ iam t,fn zsrma4c7-ea, ()lenical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. bvz99. vc; wrq Where is the period the cw9; qb9vrzv.greatest?

  Increasing the spring constant k ofd.8wq2 mefj6 dto::ww a mass-and-spring system causes what kind of change in the resonant frequency of the s:8 mw .qjw2fowe:ddt6 ystem? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what.2o45oo t3 c*hi :ahyfd 9rflv kind of change in the resonant frequency of the system? (Assume no change in the syste5ao9i.2 lt c:3fofyhv *rh od4m's spring constant k.)

  Increasing the amplitude of a *50rj3*lq yz .eu+uza6qkum6/gvh(gyi 3a m gmass-and-spring system causes what kind of change in the resonant frequeniz 63h+au0/gu jyzv k5( ge.y*rq q 3la*6ummgcy 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 mass M attached to a weizfx8n::8 q8lo bw 3jebghtless string of length L. For thj8b: wobqfxnl 883:e zis system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required f984 y5u /wdqvmv+t fq/m4;qcon)vqy t ikw;g4or one complete vibrt/gknfw/v4uv +o ;v q4m4wyd i)cq5tm9y ;8q qation

  Both pendulum A and B are 3.0 m long. The period of A i y.r9oxudkfn03tx*,wh a * -uks T. Pendulum A is twice as heavy as pendydo 0*xx u w.k h-f9,u3knart*ulum B. What is the period of B?

  When the length of a simple pendul,2h )hga*pcom ;;c vxeum is tripled, the time for one complete vibration increases by,)x; chgo2cpahv*;e m a factor of

  What happens to a simple pendulum's frequency if both itd:)0gnfe.yz r j0v7ibs length and mass are increased?z g7dfnj ):yb0r.ei0v

  Simple pendulum A swings back/q)q 4+ ct0qg6o:is rux) irmg 4;+z2kalg uxg and forth at twice the frequency of simple pendulum B. Which statement is corrg4)l6/) +ag oqtgxs;:r im k0+g 2iuxq urzcq4ect?

  If you take a given pen xu, esic5f03ydulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of3xfce50 , uyis the pendulum will

  Curve A in Fig. 11-1 represe*0 vu.dm*omtoxtjpelm 0*si.t 94o(nnts

  Curve B in Fig. 11-1 rhy 2p4fg7 9- ixi(zethepresents

  Curve C in Fig. 11-1 repre x 6wp9o;x.cxf). ixdmsents

  For a forced vibration, the ampa 0ldh 1fw-x7xlitude of vibration is found to depend on the

  In a wave, the maximum displacement of poin ub;,x ykob5b 9iv,dl.ts of the wave from equilibrium is called the wave'x,,.lo vbkb;d iby5u9 s

  The distance between successive crests on a wave is cantgr +: ;f.trfose;j0lled the wave's

  The number of crests of a wave5 j svpo+x* 5ec 4ovsqwes12b( passing a point per unit time is called the wave's4 o1* +boqxp5se jcv2v5s w(se

  For a wave, the frequency times the wavelength is the wave'sf of53- jqnrff 50iv/a

  The frequency of a wave increases. What happens to t+co-l+wp:, qpn 0vpoe n fkg)l 8ist7(he distance between successive crests if the spee c7gl:e-n8wvfk t i 0lqppsp+,)+no(od remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on a s2q;r b gz9ky-47q4s ybfts)the ys) 7; ryzt9b2f-sb4skg4q q asame string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a stn /z1 atfy-rr(ring of length L, mass M, and tension T. A standing wave is set up. Which of trrnyt/ a(z- 1fhe following is true?

  A string of mass m and length L is under tension T. The speed of a wave ing;qz**:dny0 ac5jh*va a k qp+ the string is v. What will be the speed of a wave in the string if the mass of the string is increased to 2m, with no change in ln*hdy:j*cqa q5; gvaak+ z*p0 ength?

  A string of mass m and length L is under :brhhp1 u58vetension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the hv1p 5re8uh: blength is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. fed8j6vl0 )/tmxi p. g The speed of a wave in the string is v. What will be the speed of a wave in the string if the tension is increa.x0g6/p )l mve tidfj8sed to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through th/csi(gk6(fmbbkmjf l312 igc26t cw)-j st4he Earth, the relacfgt32csl mw24 b ( k(b m kijjistg6/1f-)h6ctive motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P e4,9x1 ax mbcfwave travels through the Earth, the r 4 xc,fb1m9aexelative motion between the P wave and the particles is

  The intensity of a wave ia-n.kavcx 9thd 86y* os

  A wave pulse traveling to the right along a thin cord reaches a discontinuity whn.k* 0sxvu:ikd .w ehs 1rs-eg8g.cu- ere the rope becomes thicker and heavier. What is the orientation of the reflew:gesug. sh-k c- 8ik*uvex .s .0dnr1cted and transmitted pulses?

  Two wave pulses with equal positive amplitude wi)++y6n* j1fyyz zads pass each other on a string, one is traveling toward theyi* jz)wn y++f a1zyd6 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 q 5 scj7a,o+rr1xbkq+oz2y 4tother on a string. The one traveling toward the right has yr7q, ++4xbjos1ck oqrt 5a2za 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 region of space at the same time

  Resonance in a system, such as5 dzcr ( ;48dfnavmu3h a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency o1k7.el mqk 5ipnb9x:u f that string will increase by a fac:m9upi7qebn .1xk5 kltor of

  What is the spring constant of a spring that stretches 2.00 cm when ajmx*w(i8qv yv. ;f y1z mass of 0.600 kg is suspended frvyv(fiyzw*m x ;j .18qom it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, frzxye m 8 (5lmvol5rmy/4 p8.drictionless 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 oscillatin mv8.ery4 8oxmmy rl/5pzl(d5 g. What is the amplitude?

  A mass is attached to -jx9 aesp :g9ia 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 to go back to its equilibrium position when it is oscillating. W 9sa:jpx9egi-hat is the period of oscillation?

  A mass is attached to a spring ur*(jv 4yv m1:novd8e 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 n4j1e: uvo*m yv 8vrd(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 undergoes SHM. It goes through 1;k sng sulw,x ut/g1xpbw;971c1m;lg 0 complete oscillations in 5.cgp l 1l9x;w1mtnuxkgwb; 1sg7u/;s, 0 s. What is the period?

  A mass vibrates back and 1 qa llji+)-ik70g xlkforth 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 0.3+lji lklxk )07i-1aqg 0 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring const0b 4ex(g0owlb ant 20 N/m along a horizontal, fg o(bxe0l 4wb0rictionless 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 amplitudekbq/ ue7*5 myy of 4 cm. The energy is 8.0 J at this time. The 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 *5ym/ yu k7ebqnow?

  A 0.50-kg mass is attached to a sprinp8ysdw.x b,a+8z :uw (bexsa(g of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and b((s pu.a dx8s, w+zwy:ea8xbhas 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/mt /0bq8um s 140l; -qvxjxz6-rzkudhl 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 anrt4/qd x 0 10ujxbsl mzq6;v8hlz- -ukd the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constant9 y: +kn gxm--dwidxx9 50 N/m and set9id x-md9y-+xk :wxgn 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 horizonlqc6 p;pxpk 4 s1;40bonmne4icc+fn ( tal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 4p cl6nk;b0pof 14;p e+c(nic4qmns x 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth 1jsbl, tki (wku5v690xdrvzd:b 0er 2from the free end of an ideal spring of spring constant 20.0 N/m wi00j xzl tk2, d:s(e5vkri rbw1u b6dv9th 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 displacedzwpuc 26 1tf1ymh3cq/ 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the masft/hc 16 qmcpu3z2w y1s had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a ska+x+5tc 7hiiz ) nm5qpring of spring constant 10 N/m. The object is dn57c5xq+z kith )+am iisplaced 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+ykvhbb(;mat9 t4e.b spring constant 10 N/m. The object is db;.+emktyb9bah (4vt isplaced 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 +tqdfqjrggl l;( 6dd2u;/o 4qspring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibration 42g 6(qf;tq+;gldljr/udo qd?

  A mass is attached to a spring. s33x(rae 6pzmd l h1wq,g fj-. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equililfgxhd 13-,qr.emz(6 pj3 wa sbrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to diffe s5m(e c51n6c;g vvlp wrk,+nyrent 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 16 Hz. How does the maximum speed of A compare to the maximum speed os+p;y56 e5nlgvvc ncm1w ,k(rf B?

  A 0.30-kg mass is suspended on a spring.;m3rej-qi :3rxhqxqg 6b 0 kh- In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1r ix-x3q:m-gq0e;6q r3jbkh h.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equis2dh+pl a,lu3librium the mass stretches the spring 2.0 cm downward. The 3h p,+lal2us dmass 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). ,47 piuhedjfuaw b5 spring 2.0 cm downward. The mass is then pulledeub.h f,ipu45wa 7j)d 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 following position versus ti2,88 2 a(g)u:dq7pmddize dhsk8m sfpme equati s mg2f:)s8zu (pead, mh7dqd8 kpid28on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the (xt78)4a2ee qk byzr bfollowing position versus time equationqeb(b8zr7ty e2x ) 4ak:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the follo0z6rfon p46gowing position versus time equag fo0n46 rzop6tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes-;6y 48q dc2klh p/un9pmdkks simple harmonic motion according to the equaq uyp62d;n8kh l4k9dcs -kmp/tion $y = 0.50 \; \sin (18\pi \times t)$ 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 ofy j l2bej4;k7f:-x qcyz90 tuq 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (Tj70 ; :qtu9by2qj yfelz-c4kx hat 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 4bel (c d -kbon:02xap,my.rxcomplete swings in 8.0 s. (a) What are its frequency and period on Earth,(-04bdx: m ocr xelabp2ykn.?

  A 3.00-kg pendulum is 2ogb9g l:ipns nbia/;d xm,:5-8.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. Whatu/8mup vw 7ei/ is its length?

  The pendulum of a grandfather clock is 1.0 m mly ge6 b1 ))0c j*evunqnd74olong. What is its period on the Ear147n 0lunmc *eg)qjy )e bov6dth?

  The pendulum of a grandfather c 3dach)8sjy3d4pu: krlock is 1.0 m long. What is its period on the Moon where the acceleration due to gravity y3dc8uj:k hp 3)s4daris only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass axu7j3ms(9tb(z 4nk vpt2 wa1)s4jk yp ttached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a freq txjnzk34pyt1ssbmp ) j9u k7a(v4w2(uency 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 ma gr3zaw:97wxess has initial angular displacement of 8.0e. It oscillatzew ar79x:wg3 es 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 w6p im hbgu yf6y482r3xave at a given time. The frequency of the wave is 120 Hz. What i fym2pigr4hy6x3ub 8 6s the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency s3 s0n4fy;gg oof the wave isgs f04syg;n3 o 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a give 934aa a ool1rp1wzwgb3drw-:n time. The frequency of the wave is 120 Hz. What is the wave speezr4a 9g1- ww1 r:dopwab3la o3d?

  What is the frequency of a wave which has ww. ;+1:8-,chnu eifejgahu quew/z 7a period of 6.00 ms?

  What is the period of a wave witb 68 k*yf ,hghwuyvv2*h a frequency of 1500 Hz?

  What is the wave speed if a wave has a gb,e6k yj7c * ra uyokql3q3*;khi3z.frequency of 12 Hz and a wavelength of 3. h7*gq3ackrljzk,.3y 3oi;uy qb *e6k0 m?

  What is the velocity of a wave that yof,hmg nbbk(t )j08a3 zg(n2 has a wavelength of 3.0 m and a frequency of ) gno ghb,fn3((j0m2yzbkta812 Hz?

  What is the frequency of a 2.5 m wh,c8l, tqvh z07xp*wpave traveling at 1400 m/s?

  A piano string of linear mass de1v8 5*zkhdm rww,nx)*s; w ivznsity 0.0050 kg/m is under a tension of 1350 N. What *z)vv1ri 5wkm ;hnzdsx8 w*w, is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. vpc8 (/gkl 9 **0 i,xehzvyopy3nx-jhWhat is the velocity of propagation of transverse wavesyv 0o vyxhj, 8n9h/ec3g(p ixkl*p*-z along the string?

A wave whose wavelength is 0.500 m is traveling dow0 it d;,dia*q(5lltzkn a 500 m long wire whose total t*,50k qi;( tdidazl lmass 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 2nzo2 kaa m0hmi0cq, :2.0-m long string fixed at both ends is 200 m/s. Which one: oq2k0a,m2 zmaci0hn of the following is not a resonant frequency of this string?

  If a guitar string ha0 bi5 lwq7 fpac y-75ntbmmxbr*;f/x( s a fundamental frequency of 500 Hz, which one of the following frequencies can 7tbb*pxmmax0i rw5b q ; c(/5-7ffylnset the string into resonant vibration?

  A stretched string is observed to have four equal segmentih1.vveob 0rlh6l -b: s in a standing wave driven at a frequency .ih el:v- vb16r0 olhbof 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequ 4m21grr* t 9kin1,jcn3i1fgsv zjy, fency of 12 Hz with a standing transverse wave pattern containing 31 k,i1rrtjj41yg*cg z,invf 9mfns3 2 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/d q3s p-7u5g +pdkg-wz:b:fo ym is under a tension of 20 N. What should its length be if its fundamental resok oudf7-3w5:pd- sgp :+qgyzbnance frequency is 220 Hz?

  Find the first three harmonics of a st2agys3f: +lp mring of linear mass density 2.00 g/m and length 0.600 m f:apyg+ m23lswhen it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed;9jhx x7gc2/b,v:y ipplfv1v at both ends. When the string vibrates at a frequency of 85 Hz, a standi1 p,x/ bvfjhc i y;gp:x2vv9l7ng 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.