The time for one cycle of a periodic proc9m 62shr hfrs ezdl.j:n 699mtj4( qhqess is called the

  For a periodic process, the number of cycles pdzmu hi4ku u/2g2p6 f2er unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point pvuw -+7ipr l7)nn2gg :r iss2is called thsp + ng2)nsv:rip 2li-7rw7gue

  A mass on a spring undergoes SHM. When the mass is at itsco1+idn q.t b*wl 05ib maximum displacement from equilibrium, itsidl0+iq1.twn5*bc o b instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibri ywgk7-kyf e)c0(tw y+ +d/osium position, its instantaneo/tk gyc(0y iw+) doy w7e+s-kfus velocity

  A mass on a spring ug9ptz/mfc i7(ndergoes SHM. When the mass is at maximum displacement from equilibrium, its instantaneous accelerati itz/9c(f mg7pon

  A mass is attached to a vertical spring and bobs up and down betweenop slqqolw*6t y t:-jpks26;43ix x :u points A and B. Where is thej w lsqy4 i6q26 ;xl:ks3uxp*tootp :- mass located when its kinetic energy is a minimum?

  A mass is attached to a fw2hk(6)d klwqwsp8) vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy ikhs ql8ww6)wkf p(2d )s a maximum?

  A mass is attached to a vertical spring and bobs up and down betwnqc9-e9d/5 lo wtpk c9een points A and B. Where 9q9tdnec l -co9/pw5k is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down b0i8xc 3vtu-t ietween points A and B. Where is the mass located when its potential energy is a maximut 3tcux -0i8vim?

  Doubling only the ampl tv,n(cn/9b+nd u o2jpitude of a vibrating mass-and-spring system produces what effecp ,b /o9njn2utv (c+ndt on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-b ,qme p+z e;nl(inc;+spring system produces what effect on the system's mechanicall; z +nnbq(mpe+e,;c i energy?

  Doubling only the spring constant of a vibrating mass-and-sprinxem1e q3a5 nqhu2+0k dg system produces what effect on the system's mechanical25hd 1+ aeexq0umnq3k energy?

  A mass oscillates on the end oii,s54titb/.*wr 9pvazc bey w 1;;b zf a spring, both on Earth and on the Moon. Where i t;;4.* t1/ z vibaib9bcwr5s,wie pyzs the period the greatest?

  Increasing the spring constant k(;n9mzi2 oj*w fkd 9pm0rvwr1 of a mass-and-spring system causes what kind of change in the resona jif(99dm nm1;rpzrwo k *0v2wnt frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-sp2 j-e5ct-ddmuj t*avcjm 7 77pring system causes what kind of change in the resonant freq*7 -77cpvjdcj-2a jdmttm 5euuency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitz jx,zh 4fv gc0(e7sn-8/c3 k1 q)wolhgeik-aude of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes in the system4evgnf1/eqhz c- j, -8hog3)cx 0wkkl z(a7is.)

  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 set8.02x k7se*fn lq6(d fa gidtring of length L. For this system, when undergoint 2dl* fe 8afn7sdke.x 6(qgi0g small oscillations

  When the mass of a simple pendulum is tripled, the time requirjj0ipn3 h.y)d2d*4 ro6pryrf ed for one completrp3 jn j* 2r6yp) rd04.fdihoye vibration

  Both pendulum A and B are . pzg4n1pxgl(3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. xg.z g1(4nplp What is the period of B?

  When the length of a simple pendulum is tripled, the time for 0iu.a,;7 :1lqpaq gcbeli urln +*;pcone complete vibration increases by a fact*0cnl+1b7elci a: u; .qrupqa,l pg ;ior of

  What happens to a simple pendulum's frequency if bo1v. w (yc gxoy7g xg9m/jbp:(uth its length and mass are incu9. wpg/ 7vy(:mx(gbgocjxy1reased?

  Simple pendulum A swings back and forth at twice the frequency of srd7; qt7e8 y(e 99g etz6tuvfmimple pendulum B. 6t8vgqu; (e 79ey de9r z7tmtfWhich statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity i3yed57t9 kj yy l,zbbmbg2t 1-s less than on Earth, ty 1jzbyybt73- gmkl 5,ed92b the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 representby o.s39zuk(h es4 de(s

  Curve B in Fig. 11-1 represe::uuwyycc,ibe 6v +0j nts

  Curve C in Fig. 11-1 represe rpj.--m+w2g97ms wzd qa+fgfx u66d ynts

  For a forced vibratio/(pgw2rdqs s7seg,mi2 f -,ehn, the amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of pojj5(jufxku); q5pffh 96q4 v pints of the wave from equilibrium is called the wu(6 x fj59fu5pp )kj;qjfv4qhave's

  The distance between successive crests on a wave is called the wa7tyh 8g ) w8w.ivvp,r)k- hzsde xrp-7ve's

  The number of crests obf::7*l2axxtnx2tnr f a wave passing a point per unit time is called the wave'2fr2xtnx la *xt7:b:ns

  For a wave, the frequencydsrj;y2ju up6 /5jao0pyjx 99 times the wavelength is the wave's

  The frequency of a wave increases. What happens to the digw4w cvy1hl+ .stance between successive crests if the spegvw+4y. h 1wlced remains constant?

  A wave moves on a string with wavelength l and frequenvph-c z xq842kcy f. A second wave on the same string has wavelength 2l and travels with the same velocity. Wp4qkx2c h vz8-hat is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tens-4o gtbloy1a -ion T. A standoya-b 1t -lg4oing wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. ab)mzhn0 cq7kb ww) ;g,ct7 h7 The speed of a wave in the string is v. What will be the speed of a wave in the string if the masa w7 bzcnb7h7kgq) ;ht,w0c m)s 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 speed of a wave in tz1:3d+ mo+q-dq xc*am uhr 4omhe string cq+rmh o4+1 dduq xa3o:z*m-mis v. What will be the speed 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 spevox k49g8o*zkd +2wp ced of a wave in the string is v. What will be the speed of a wave in the string if the tension is increag4vodk9w2px8cz+ k*o sed to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels throug ;b9e rt injc,g5p)qx5h the Earth, the relative motion between5q,p)egcjb rx i59t ;n the S wave and the particles is

  In seismology, the P wave is a lo6 m-eeiwb 7j ro61(rnsu b0zjw+ hhw-7ngitudinal wave. As a P wave travels through the Eas6o i(r 77mzh06ruh-b wen j+ be-wj1wrth, the relative motion between the P wave and the particles is

  The intensity of a waveztp80;ou( pt* hw.0ilxq8me hzl bf vgh)/-v1 is

  A wave pulse traveling to the right s .hvlhe c0:s)along a thin cord reaches a discontinuity where the rope becomes th0vehshl.s )c:icker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positi;8g(c+ j6c(jxxjkl anj:p2jive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of spc cja:k;i(x jljxn(+jp2 jg68ace at the same time

  Two wave pulses pass each other on a string. The one traveling towa+a3lf0e op)q * gxg9eprd 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 same region of space at the sampgea 3gpf+xqe 9)o0 *le time

  Resonance in a system, such as a string fixed at be4ujynw; wk 0l3+0ahd oth ends, occurs when

  If one doubles the tension in a violin string, the fundxap.tfrv-*pz7 5t-fh amental frequency of that string will increase byfvh*t7 r--.pxfa t p5z a factor of

  What is the spring con4)q3dk,gus(jal/y -xwo/8 in t5 n bdostant of a spring that stretches 2.00 cm when a mass of 0.s,qb/ kxg in)t3d 4 juwy/l n8d5oa-(o600 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal a ,uxlt-ffzn.)no- x6, frictionless surface. The spring is initially stretched by a fon)a z 6xx -un-o,flf.trce 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 amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizoupm:yag4. 9 oqntal, 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 osciloyg9:u.m q4ap lating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60zresaq0aj zc m954 5(c 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 o(ecc5j9qr5 z4zaam s 0scillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 c(a 3(7yplbfkzomplete oscillations in 5.0 s. W3zy ( (fpbal7khat is the period?

  A mass vibrates back and forth from the free end ruyumw.5hv) (of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What hrv5mw( yu)u.is the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m al8da3 d b99j,ilkg sz+hong a horizontal, frictionless surface. The object oscillates in simple harmonic motion a3jb9h zd+ gi,ska9dl 8nd 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 amplitu54kqcpw 5p-dbi r 38wfde of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, 4 -c 8wf5irk3dp b5pqwand 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 along a h gl9mg v pru0(-e 99cpy1cwo)qorizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s( -90uegr1 c mwpoy 99qgcvp)l 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 hobx z,zwds6)t 7rizontal, 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 d7 b 6,zwzstx)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 cons0ms mm .xr jl)sj;2bc6tant 50 N/m and set into simple harmonic motion with l0sbrjc mj );.6mm2xsan 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 horizontal sprin 0vx5tz3*ft4 w/u(a(lyfy ad3gzxm y (+.ltmqg of spring constant 50 N/m ayfd.+axa muvq4t wyz*lz(5tl30f ( 3gyx ( /tmnd set into simple 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 ide9-4y;8i g j+krz ggz,yv dvf7b xx1b1lal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic 8bf-gxzy7vvg,9y4 rgd;jbki +1x z1 l energy of this vibrating mass?

  The mass of a mass-and-spring system is dnkxs* f b;,:kqc-kkgnm4gq :c9. g+op isplaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency wog 9 gn+x ,kbkm.q:cps-:k ;ckf*qg4on uld be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a sprfp: pa5 w ,7fkgd8eoy el.uf1:ing of spring constant 10 N/m. The object is displaced :uoaf7. gk, dw 5ype8: f1lfpeby
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 N7xi/o)kzb.mte (ceoen6r( js ;0v0sj/m. The object is disp e(( 6sobn7)t./xjsvkmze 0 ieco;r0jlaced 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 constantgh kky94e 0/jr/r*ompzj (z a4 18 N/m, displaced slightly from its equilm44orz ph(g /*jak9 0ezjr/ky ibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a freqd:s4(srgo ,s,v n+xv9gr hnm7uency of 1.27 Hz when displaced a distance of 29 m4s,r,g+ 7sosv: hnndgvxr(.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A via,kpimq9( f5b+ebj:c (c .m30w jtvshbrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with5vb :wcjah(mstc j.q03i,pf+b9 km(e 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 sprinbd-1lv.e qxop /.zgd)uo; ) pcg. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then. l)1 eqo;z.-o/ud gvxc)bpdp pulled an 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 equilibrium thes:f.t )bscvrfn7m--j mass stretches the spring 2.0 cm downwa 7-nv -m)ss.fct jbf:rrd. The mass 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 ehp gr9lscs4pa5u1)dbcl,9:rquilibrium 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. Write d95,c s papgc rdh:41b9rslu)lown its equation of motion.

  An object in simple harmonic mot-5 f z62y byyglsog:4qion obeys the following position versus time equatf6gs yqz4oy2yb:5g-lion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the e kk6qviq7 nb 2cmxg8*hk7i(5following position versus time equatiok77 8gm5biq*hqekk( 2ni xvc6n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys t- nhtuf0qj+8 phe following position versus time equa8qhp + n-fjut0tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harnaw(,dtuk(iq s: :q ./a )rz wfb)s9pgmonic motion according to td qut(gw .(k:praz n)w9)/iba,s s:fq he 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 20.0 N/m oscillaaltl ,1h n045egqk. zntes on a horizontal, frictionless tak54 hzleq0,nnl tg1.rack. 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 mj9, *r3uv eekswings in 8.0 s. (a) What are its frequency and period on Ea uve93mj,r ek*rth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earth?:j6 k4 v2vc aog(w)ubj

  A pendulum has a period t1pm6lu)n w5 ms6egxg40 d8 ufof 2.0 s on Earth. What is its length?

  The pendulum of a grandfath8 q5 nifc i*2ecrt:t,ler clock is 1.0 m long. What is its period on the Earth25lqt tefc:ic*n8 ir,?

  The pendulum of a grandfather clock is 1.0 m long. What is icon,1vi0e+l lb di /.k m,v2ests period on the Moon where the acceleration due to onm+ee/0,v2k idlvs b .1 i,lcgravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical 9jw) 8yz9kb mpmass 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 ofjbz wyk89m9p) 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 initiathuo+v e 5;wc.l angular displacement of 8.0e. It oscillates wi+hvc5wo ;e.u tth 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 "snapsh ib m 4dt-fw(nqncc l0jq8;t+tor; 7+yot" of a wave at a given time. The frequency of the wave is 120 tnc+ c +8y0jm;b(q rw lofqtid4 ;-7tnHz. What is the amplitude?

  Figure 11-2 is a "snapsho5e:x3,kk gwor:vt7 u d/mq4zwt" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wavelengt :d5kqxg, r wt3kz7o wemu:/4vh?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency 3;c f5cxhlc; rs16kms ;;m txeof the wavxscf3c r;m5cm ;lehts6x1; k;e is 120 Hz. What is the wave speed?

  What is the frequency of a waverm k8f)*tmlc d2m.(hgb iz:1 uk0o3z c1 y.esn which has a period of 6.00 ms?

  What is the period of a wave w+py ;se 9ycey9kavm*j8p d8r7ith a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hzat4s:jlo48 h p and a wavelength of 3.ajts 4p8l:4 oh0 m?

  What is the velocity of a wave that has ax2 oxp9/yp3:p;kjl94me bq x l.h ho;b wavelength of 3.0 m and a frequency ofk2ho q 9mpxyh/ x3;jb x.l9eblp:o; 4p 12 Hz?

  What is the frequency of a 2.5 m wave traveling at 140h6foiyjkvp0 7mth4fli 0v4++ suy.0m 0 m/s?

  A piano string of linear mass density 0.c/1; kblbtzcj7a(g 3ykk- tx+ 0050 kg/m is under a tension of 1350 N. What is the1+ ak(zbx/tl gky;t7j cc3k -b wave speed?

  A string of linear den,/1ua )xvaz vr -cf.qwsity 6.0 g/m is under a tension of 180 N. What is the velocity of p./1 ,favv xca)zuqr- wropagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire p)x w)r s-u( y6ecvsb:2di ov3whose total mvsvo)s:yc6p(x3i- uw2br )de ass 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 2.0-m long su w(u7q qz-td1c(8dphtring fixed at both ends is 200 m/s. Which one of the followingp8u (t qu1 hddq(wc-z7 is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 /f8yj)ilo/mkt.l4df3q g m0nHz, which one of the following frequencies ci. yt 4/3mjd0gk8lf qo)l/nm fan set the string into resonant vibration?

  A stretched string is observed to have four equal sew 8m, aw x6m knogc;qf2modje96 ;3za8gments in a standing wave driven at a frequency of 480 Hz. What driving frequfmw68na68eg,z9 xd2jw; o3ck a mmq;oency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates aj2 .7k *tr +bd.tchgort a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if d . gjc2orb.trt7+kh *the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m iso,1cn.9fgxpza4r d v6 under a tension of 20 N. What should its length be if its fundament.r,aop n4xgcv z19fd6al resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear ma ltr1y .hl2l. *fie/hrss density 2.00 g/m and length 0.600 m when it is subjected to iyt /hllh r 1.*.rl2fetension of 50.0 N.

A string of length 2.5 m is fixed at bjn9iaw)6bwn* oth ends. When the string vibrates at a frequency of 85 Hz *j9 wn6)nwbai, a standing 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.