The time for one cycle of a periodic prqdpl48u:16 i yhzp a(rocess is called the

  For a periodic process, the:564ss 6wbj 4vvxwrsw number of cycles per unit time is called the

  For vibrational motion, te+ c. l4l(xdmthe maximum displacement from the equilibrium point is c.+d(em4lx c tlalled the

  A mass on a spring undergoes SHM. When the 17e76+hxsn3:meoi9r qwkzl.avs w (t mass is at its maximum displacement from equilibrium, iox t1h.mi73vwke(qws6l7as n r +: ez9ts instantaneous velocity

  A mass on a spring undvy ;w9 0n0pndaergoes SHM. When the mass passes through the equilibrium position, iy0 wa vn9ndp0;ts instantaneous velocity

  A mass on a spring undergoes SHM. When the mb m :j9smt4rnrm i (1pnn3+k a7e9v3baass is at maximum displacement from equilibrium, its ptjnbne3mrbns (k19 9a i +r4:7 mvm3ainstantaneous acceleration

  A mass is attached to a vertical spring and bobs up and 3nsv1u)2um e tdown between points A and B. Where v)em t23 ns1uuis the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring 9. h4fijk zmn2+dr8znreiv6q+ n,l6 q and bobs up and down between points A and B. Where is t68 j+n+n,9r4e6 2fiq iqvz lzk.mdhrnhe mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between poi2z 8 ki+4m8r(mosscg ants A and B. Where is the mass located when its potential energy ( +2carz mk 8ois48sgmis a minimum?

  A mass is attached to a vertical s d-yetdy2*7i,rme sr *pring and bobs up and down between points A anes2r,*dm i7yd- ryt*e d B. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a r9f 4,(jt ej3oe7kpl fvibrating mass-and-spring system produces what effect o4rpkf3 9,f( ltjeej 7on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces wh5wl)k832yxy px,,znjv bii-f at effect on jwv8 ,2b xz )pf ,xyn35ily-ikthe system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spr0:hu j:n7svznukmd;hb3/e 6 eing system produces what effect on tzu/:6eh j sb 0hdkn:euv3n7m;he system's mechanical energy?

  A mass oscillates on the end of a springz .)1 wfme6kzt, both on Earth and on the Moon. Where i t fwmzze1k.6)s the period the greatest?

  Increasing the spring constant k of a;p hxp (9c*ly: v0.gsdlzl/ gp mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no changl:9/ .(*g x vycp0;s phplzlgde in the system's mass m.)

  Increasing the mass M of a mass-and-spring systtgx2. 4dk jq1 0tiiv9xu2n ddcxqq//cz3.sk; em causes what kind of change in the resonant frequency of the system? (Assum 0cq/vqkxt2st icg;9d14/ jkd3i xdnxz.q 2u.e no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring systeyk ;v;/jej:-so owy:am causes what kind of change in the resonant frequency of thw okj y;/:a:y-esj;voe 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 M7k6nbr5gx tf/ attached to a weightless string of length L. For this system, when underrft/6 7gn5kx bgoing small oscillations

  When the mass of a simple pendulum is tripled, the tiioh qf)cx( g:jefx,6asa25c (me required for one complete i( hxf:o(5,cafajg ) x2q6csevibration

  Both pendulum A and B are 3.0 m long. The period o 3e v4md8,qzfaf A is T. Pendulum A is twice as heaqfz 4e,8ad3vmvy as pendulum B. What is the period of B?

  When the length of a simpldd(;z 8we1h 2dqtj1lh e pendulum is tripled, the time for one complete vibration increases byeqd12hwl d(z8tj h;1 d a factor of

  What happens to a simpl:y ax 4pta4w5lr bgw/, s9p(mye pendulum's frequency if both its length and mass are incr /4gx ablt:4mwasw9ypp y,(r5eased?

  Simple pendulum A swings back and forth at twice the frequency of simpleej bc;,,au: l, k+asv2r*eto f pendulu;bcsafe+ u l ,a2o:*v tek,,rjm B. Which statement is correct?

  If you take a given pendulum to the Moon, where the acceliynkcv4*v/:o ls q1 7ieration of gravity is less than on Earth, the resonant frequency of the pek/ qi*n4viy1:lvco7 sndulum will

  Curve A in Fig. 11-1 reprq4 l.93q z0nymvgrr 2gesents

  Curve B in Fig. 11-1 represe*3gx x qila-pz65gn5 vnts

  Curve C in Fig. 11-1 represents4g.4p ( hgyq9mupc nc6

  For a forced vibration, the amplitufkj xz:m1/q vf:k h4q+de of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium5nq- )bvpy -l;gj coo,kv y t;vv3;ny3 is called the wave's;;b 3vt3p ony,)-n-l gvvoy kv5qc; yj

  The distance between successivx 7swi 0 (/wqwds4;pgy )qee-rze+y3le crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called zn-kgpbg ,yife)l a 2n)::n k(the wave's)ay g,k:n(nzlnk-ie2 f:gb p)

  For a wave, the frequ ;/zh,hzz6t 2ca9sl:: wrs*drr7 )b2r il tdmtency times the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance bgc58 in132evnwz+cwletween successive crests if the speed remains constant3 15 z8cnelcwvnw i+2g?

  A wave moves on a string with wavelength l and frequency f. A second wt/4 m*5cw 9cxtlf guiwb*4na.ave on the same string has wavelength 2l and travels with the same ve4gfa w/nxlmw tuic.c *9 4b5t*locity. What is the frequency of the second wave?

  Consider a traveling wave on tyku)p, 5:b//rfldj/s b3ln o a string of length L, mass M, and tension T. A standing wave is set up. Which of the following is,ot3bf/n y sk)l/:ud5rl p j/b true?

  A string of mass m and length L is under tension T. Th9p0rdd3e*zv gfns qt+nw0: p*e speed of a wave in the string is v. What will be the speed of a wave in the strqd9r0 e0f*nntp+ pw gsvzd3 *:ing 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 tensijp rns2g d*00p/2 k)ccd.gac zon T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the lkdcp2apg/0 s. g20 dzcn rj)*cength is increased to 2L, with no change in mass?

  A string of mass m and length L is j ewb3-5;ne6 :cnqb p l.e/i uyob)xb9under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the tensbb6ey;nw.icbp39 5eln :)eou b -qxj/ion is increased to 2T?

  In seismology, the S s(t8tjsv a5+i wave is a transverse wave. As an S wave travels through the Earth, the relativs+st5i8j (tave motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave tt x s54bb75oapn d5uj5k f..lvravels through the Earth, the relative motion between the P onbakt5.bd4 5xsjp . 7l5fu5vwave and the particles is

  The intensity of a wf p gg*xik; :8)5amvzxave is

  A wave pulse traveling to the right along5 ,eyafu/igu4 a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is4fe/y au5 ,uig the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, on( e-zzj/7goxr, h *xove is traveling toward the right and the other toward the left. At the pxvzo/*e ho(, 7 -jzxgroint that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling to+y;vbnpipfsw8e1gma0xjk 1;z1t6c) ward the right has a positive amplitude, w8b +zpx)en10kv 16sc ;wy;aijmtg pf1hile 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 as a string fixed at64i po-s zrzold:3 +re both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency ofi i j1h8vfv4pa), br/u that string wilvurbah i), /8j4pi1fv l increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm whet r9 vy oq+,hssfh tsa8;:p3c-n a mass of 0.600 kg is suspended from;,3ss -h8syhqc+tr apv: tf9o it?

  A mass is attached to a spring of spring constant 60 N/m along a hora57pyejeb 3. n seuavj+a+u21izontal, 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 bay +e7+jpe2 1s3naauja5e.u bv ck 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, f ouqm+1-ev. v qpwto(d9j4*jwrictionless surface. The spring is initially stretched by a force of 5.0 N on the maswj-v (pq wo1.d9*+qv t 4emojus 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?

  A mass is attached to a sprf t dzs7c,8u sr7jsb72ing 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. What is the frequencybt 87dz,7rjs c2su f7s of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillatio* st(,(x2a.x dcy2p 5zlnodluns in 5.0 s. Wha,sd*(oa2z5 (. txy2xlpld ucnt is the period?

  A mass vibrates back a zbt;o92t/hgm.wd mq:( np /mmnd forth 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 m from itb(p.d/hn 9 gtom: m 2/mzt;wmqs equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constantq -rtp:w90nuy 20 N/m along a horizontal, frictionless surface. The object oscillates in simple :tuy-p rw0 qn9harmonic 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 j7m+dkloi g*8l,opbzh5(n 5 benergy is 8.0 J at this time. The mass is cut inkbpn*moio(zj8hld55 ,+l7 gb 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 u8vrz(j a ,w +4,apgmv20 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 equilibrium position. What is the amplitude of vibrati8zaag,v mj,r+vu 4p w(on?

  A 0.50-kg mass is attached to a spring of spring constant 202 yo y z008u4.3l x.quztfgpbj 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 equilibrium po8zy.uy0 lg.p q tbxuzfj o2034sition. 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 constant 56vy lxm*g*gk10 N/m and set into simple harmonic motion 6kl x*1yg* vgmwith an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to t8m,9dpfuc+memc uu (5he end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of thic9uu c(+85emupfm md ,s system?

  A mass vibrates back and forth from the free end of an ideal spring of spring 1pc2,5wc n :vq *bvcitconstant 20.0 N/m with an amplitude of 0.250 m. What is the maximum qnb*cv2 iw5vtc,cp:1kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 hl2b)fj j39nx3u t61oi*twoy cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What fr2*)b3ijt9of uh6j nt 1xol3 wyequency 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 N1oo t8 3oilf3stv-luw+i,v/f /m. The object i v,v+ 8 l1flio/3fo-uoti3wsts displaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attacpo izdbuu5jz9.jy tn(l,r mx90 g. :p3hed to a spring of spring constant 10 N/m. The object is displacu:zrz9 (0jb,.t3 m dnoglujp.5y p9xied 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 18 N/m, m.lv49wqqyd l0tq2 8idisplaced slightly from its equilibrium position, and releasyd wlq q.8viql2t4 m90ed. What is the frequency of its vibration?

  A mass is attached to a spo0j2lf0a+-o zvxm e49 m9-y1asri da nring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from eq+420fino-oey -l 9rda9ma 0vsxzmj1 auilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to dify(7cqsrc 4 -y,wkmivq 9 gk3bd 6-zgs;ferent springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mg yy sg9 v,-m4-7kdq(cs ;rkbw c6zqi3ass 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 on a spring. In equilib ri60jf(2e tstrium the mass stretches the spring 2.0 cm downward. The mass is then pulled aj0s(2t e rf6tin 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 equilibrff/on/ 1hvfsb, s0c,hrb 6iy 0ium 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 t s/vc, f /,yonb6 hfib10rshf0he total energy of the system.

  A 0.30-kg mass is suspend;z1 or sdwb2tqv4m ,a2ed on a spring. In equilibrium the mass stretches the spring 2.0 cm downrmqt;b d a4oz2v2 1,swward. 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 ovop5 thq/ dtd/rbl /4.beys the following position versus time equation:o/pv5rhl t./ /dd 4tqb
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic m1+7fa p7nwuk med +mma 1rq:8eotion obeys the following position versus time equatio7 e p7amur+ q knw+dm1:a8ef1mn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the follow+nb d 2jva)ldkfln6,(ing position versus time equatio j6ndn)(vbf ,d+2lalkn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a sj69s *pvs+o rc e38b*bpgsz9 cpring executes simple harmonic motion according tojbe9 6pszpo98vc *gb+*csr3 s 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 with a force constant of*9 8 kald c0 9jsu:psze+)u, zdyjf1xv 20.0 N/m oscillates on a horizontal, frictionless trzu8j s:dc+ 0*yj)1upelsk za9f9 dv,xack. At t= 0, the 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.j7y)9wwer jo . (a) What are its frequency and period)r9jwj7wye o. on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its perio maehy.t e5,qydb 26 x*yan5k7d on Earth?

  A pendulum has a period of 2.0 s on Earth. What is itdmtgn q +:2qe4s length?

  The pendulum of a grandfather clock is 1.0 m long. What isxq f:)b4oe:(r e yi+zj its period on the Eart qe+)x:i e yz:rof(j4bh?

  The pendulum of a grandfather clock;u dfb (qbb5e3 is 1.0 m long. What is its period on the Moon where the ac;b3eu f5 dqbb(celeration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum cof:: j fjvcx;6mnsists of a 0.25-kg spherical 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 mass (same diameter sphere) had been attached to thejx:c;6 :fjf vm string instead?

A simple pendulum consisting of a 20-g mass has initial angular(+d b5b;tupn)p8sb mk displacement of 8.0e. It oscillates with a periop)( pbkdu8snbt b5+;md 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 the5mar3x 9.sovw) dp6:abk l 7dnn9 8ynt wave is 120 Hz. What is the ampla n9wlkm3nnp t8.7):bdsyroa5 d 6vx9 itude?

  Figure 11-2 is a "snv9ii)u82wl(yol pem.p 0ntdp 5*bd t,apshot" of a wave at a given time. The frequency of the wave is 120 tl*detvpn.ii8)p u,2( ml pd95bwo 0y Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given l hb)5j/w wshv1-xlx-time. The frequency of the wave is 120 Hz. What is the wave speed?sxb)l /-5hxj1w - lwhv

  What is the frequency of a wave w bj*6h4kmb7;ung lj g,hich has a period of 6.00 ms?

  What is the period of a wave with a f(39s y (neiyjprequency of 1500 Hz?

  What is the wave speed if a wave has a frequenc+hijd.h)ljq 7 msel */y of 12 Hz and a wavelength of 3.0 elms )ihdl jq. hj+*7/m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frlrod.wt:6e5 1aky9 npequency ofolye.ndwt:5r 69a 1kp 12 Hz?

  What is the frequency ofuwwn; xkqsei40qixpv/5 47 qu rf1+0e a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m1lisw/zpkgw )md*nmv mh3),) is under a tension of 1350 N. What is the swwi)m*p,dn )hlkv31mz )gm/ wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. Whag sdv 6 pkyu 8nzxk52xw7)*.xbt is the veloci*7825yvundzx6 bg .skx)wkpx ty of propagation of transverse waves along the string?

A wave whose wavelength h v 4 m2gly8skubx-2k.is 0.500 m is traveling down a 500 m long wire whose total mass 2 k4b.xkvy -2ms ulhg8is
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 iod;me .z 90 i2 uga2k(h-m o 0.vgys-8nlslhyfixed at both ends is 200 m/syg(oel.-;sz n9s022 8hi kmia.v-mhy 0ould g. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a v:(fzb1glnd+kvvlbq 29 h: +zfundamental frequency of 500 Hz, which one of the following frv2n:1:(zqdz+ b 9l vflvghkb+equencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standingwrl5vpe+x 2r .y7 +mkw wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal+.wmk 5 xerrpvl7 wy+2 segments?

  A string, fixed at both ends, vibrates at a frequenc wfk0 j8zplxoo65i)0cy of 12 Hz with a standing trank00)l wpo f5cx8z6j iosverse wave 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 of /.k,1 -wgsf )biuqs xjy.iy ,an.vf+p20 N. What should its length be if its fun,yx ks./ bgj+f)q-ii.v.1uwa sp,f yndamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g*g z7 (hm6lv3:1byxlu is3i st/m and length 0.600 m when it is subjected toibl yh3tis( gx3lsuv* 1m z6:7 tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the stnz 9efk2 m *xddq*(sfts-ekm 33 x+q(ering vibrates at a frequency of 85 Hz, a standing wave with five x k9ssddekmt 2*m(eqfq+(fe z3n3-x* 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.