The time for one cycle of a periodic process is called d8 f ;exfz.6*ik;vvfzu at/a mj)e0 i;the

  For a periodic process, the number of cycles per unit time isk.zu 8le7*nybhwh j mv6 4+ilw,72rsz called the

  For vibrational motion, the maximum displacement f r vma/eih1(3urom the equilibrium point is called mi 1u3vr/eha(the

  A mass on a spring undergb nz2tqp 42df0oes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneous vel 0nbd qfp242tzocity

  A mass on a spring undergoes SHM. qp : lixbxbp+6z ;300gga nuv7When the mass passes through the equilibrium pq v30nb6l ax7 ;ui:bgpxp0 +zgosition, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximu yrn/sa 7zw rg u5shdp-7ub4zkp4--:dm displacement from equilibrium, iy-sn7b/rph-kwa7 4ud: rp 45s ugzd-zts instantaneous acceleration

  A mass is attached tovneh9;j;h*lc a vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a mj;hhlc9 ;vn *einimum?

  A mass is attached to a vertical sprin fpxaabycg 6c)zs- 2- cg.+w2hg and bobs up and down between points A and B. Where is the mass located when its kinetic energy ca)sx2pgybc a6-2 .g-hw+zc fis a maximum?

  A mass is attached to a vertical spring and bobs un 9+tsj5.sz )1tzhtly p and down between points A and B. Where is the mass located when its potential energy is a1h9)j tslz5 sn.t+tzy minimum?

  A mass is attached to a verti(2y0bjvjcin3u u5x: j cal spring and bobs up and down between points A and B. Where is the massj 2b jv0i(jx3c:5y unu located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system pnz 3; rj)q 4uuouhekk/az 8;ya +.fbv.roduces what effect o;a .uo+uzvfruzjnbkyh3)/4.8qae; k n the system's mechanical energy?

  Doubling only the mass of a2x8xfjt5v 4 tf vibrating mass-and-spring system produces what effect on the system's mechanical enx xftv 2f8j5t4ergy?

  Doubling only the spring constant of a vibrating mass-and-spring eg/bbu yq,rao5 muv mrg:)42 o(ls;/b system produces what effect on thee4 /;2a5b,:mb gouyuvromlr(bgs)q / system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moonanyjjr 9.-j5 e. Where is n -ae.jj5rj9y the period the greatest?

  Increasing the spring constant k of a mass-and-spring system chi*bhaq d*u, vaq6,4oauses what kind of change in the resonant frequenvqi ahd,* 4a*qobu,6 hcy of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kinda-,o o0 xcy-x;l sm9mb of change in the reso;-9oco,a0y-lsbx mxm nant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind dh:, u oz(3udt6j7y mqof change in the resonant frequency of t7j,mq3 duhz6y ou td(:he 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 wed-w0qoisy4y tv um-m6; 65w bfightless string of length L. m0ious65y6- w;fwd 4qy-m bvt For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one com9wv1o lc 6c0ifs.tz;t plete vibratl9vi .w0t 6fs;cz1ctoion

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A q*rxz- sso- 60v dic;g6p9uciis twice as heavy0czs-cu-x vipo6q6i r g;s*9d as pendulum B. What is the period of B?

  When the length of a skr+r ho s/v**f 5zzn*fimple pendulum is tripled, the time for one complete vibration increar+5vr zkf*zs*hn /of *ses by a factor of

  What happens to a simple pendulum's frequency if b 3bz.wej.v.a5o0hh 3v7 jn kevoth its length and mass are increased.jz.7h o v5.b0e w ehv3vkj3na?

  Simple pendulum A swings back and for*1 u,s-d03wl7hdgrbyyn;etlx x 55lp th at twice the frequency of simple pendulum B. Which sh 3ly etlyxs;x107nl-g,wd 5d urb*p5 tatement is correct?

  If you take a given pendulqrdf- ;ox y67cum to the Moon, where the acceleration of gravity is less than on Eart7 r6 ;-xdqfycoh, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represent6 hk/fcw4 b .9tomc,, bf+p dkhk7u1dms

  Curve B in Fig. 11-1 repres 3yrljaa;dxww1u .1i(ents

  Curve C in Fig. 11-1 re x.9ztmc4z/ .vgkik- epresents

  For a forced vibration, the gnd2eljm t ik,:sj)+( amplitude of vibration is found to depend on the

  In a wave, the maximum displacemexa-t2hg+wijg2x q f 1h-a8kz* nt of points of the wave from equilibrium is calle-q 8iwa kh-j2*fg+tx hzx2a1 gd the wave's

  The distance between successive crests on a wave is called the wav1b ;:bfau fw5qe's

  The number of crests of aut 7* :ox;ds6xlod0kw wave passing a point per unit time is called the wave's :oxl6 wsdtd0o x*k;u7

  For a wave, the frequency times the wavelength is t zm2foz( sr6 0ie;6,grc gwj;ytzy7r5he wave's

  The frequency of a wave increases ,g8 aj7zjf8uu. What happens to the distance between successive cres8, j8au7guzf jts if the speed remains constant?

  A wave moves on a string with wavelength l and frequency0y sh+5cj0r g.mp, wbl f. A second wave on the same string has wavelengthc wghr,50+ m jypbls0. 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 cj;rh5tp -t 5opp. s2mzvl 0.wM, and tension T. A standing wave is set zw 5.mv.2jpthopl crpt0 ;-5s up. Which of the following is true?

  A string of mass m and length9o.rr7 y/hkpki 1dgen9. mhu4 L is under tension T. The speed of a wave in the strin/ g9mruen ko9dki.h y.hp1 r74g 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 length?

  A string of mass m and length L is under tension T. The speed of a -2dyuq ki7 cg)x(js c,wave in the st)g(s2u7 qxjcdk ic-, yring is 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 speed of a wave inz rfx3 9734jtoekng9a o11alw the string is v. What will be the sp9 xawkt1on793 1j zfae3orl4geed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave ij*jz )bg5a3i. As an S wave travels through the Eart 3jzag5i bij*)h, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels t) l vqaxpp8fi*r28g u4hrough the Earth, the relative motion between the P wave a8l8 pfrg) xpvq2a4 i*und the particles is

  The intensity of a wave i po*vp nxc; -475)hc6avlgtbvs

  A wave pulse traveling to the rig7 v gog:5m(0wd :lw5/g4aq2ygi+8s aodrrfxa ht along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflecte/l24ggodqg+w0v:a(y sd5arrw o : 57 i8fgaxmd and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, one w( ie .l ufnr(l13xh:duan1w8is traveling toward the right and the other toward the left. At the point that they or1w d:(nawifu 1 e8.lhun3l x(ccupy the same region of space at the same time

  Two wave pulses pass each other on a string. The / he xrfg6euz0ui9e,2one traveling toward the right has a positive amplitudeghf exz ue,e96i2/ur 0, 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 as a strgr4oih l*g8j4mqm 5 d3ing fixed at both ends, occurs when

  If one doubles the tensiot4 e5esq m 7ntf-tz) e3(9vsknn in a violin string, the fundamental frequency of that string will increaste5fez3 k9)n7-(vmsq sten t4e by a factor of

  What is the spring constant of a spring thf hwa ;g2 .p/( vr6j1e-whiygtat stretches 2.00 cm when a mass of 0.600 kg is j vpit16fw ;r/2hahgw-g e. y(suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, lr49 wdeufw/:2lv h;k1wo u+lk:owe4frictionless 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 :wlrweue1v4o+/hwu l w2fd4k 9: l ok;s to go back to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of sprt kvz)f p4)g;kqma0nw4 , 2haring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched byhw), anf; r4pgm2vz)40qk atk 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 oscillation?

  A mass is attached to a spr77/cel p(vk ,g/ ml-qqdnhr f)ing 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 equilibri) 7// -neghrm(vkqpdf,ll7cqum position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring ucx3,8(ibijmqv.y mm+ ev c2,:: pfcwy ndergoes SHM. It goes through 10 complete oscillations in 5.0 s. What ipc(.8m: cf+w2viq yix:mv ,3c,jemybs the period?

  A mass vibrates back and forth from the free end of an ideal spring of springkou yvxlnhy i*+ogg4; e6+f1u*;v 3dj 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 fromui x;u1+j4*glo g fo6k;*+ d3yevnhyv its equilibrium position?

  A 0.50-kg mass is attached to a spring of spr)b n*q8qshc 2qing 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 the equilibrium position. 8 )hb*2nqs qqc What is the total energy of the system?

  A mass undergoes SHM with amplitude ofpm4uuk2f ;xv g7 b48kr 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and mvkgp8rb4 4u 27kuxf;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 e lf9yxk0)y*va,x97e- un utma horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium positi *uf)yel0 e99n7,k vu-axmyxton. What is the amplitude of vibration?

  A 0.50-kg mass is attached to0k (9vja say;o 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/svj ;so09 kya(a at the 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 spring of springofzfhuwls :a 2,i(y0 3g,(hv h constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is ty2i hawu(,o(, s:g v3 hhlfzf0he total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring. tlhrc0u11by of spring constant 50 N/m and set intoutr0.hc l b1y1 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 axhlu4 .:m 2cljn ideal spring of spring constant 20.0 N/m with an amplitl x.j:mcu24hl ude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibripsx h/m+k1d. +eq;lym;f nv6 u4(ihg cum position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the m/( v.ydc41k+6;uegxhqpn m;i+l smh f ass 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/m. The object idi.w mjd yjp/yg)4) x,s di4)gjx.iyy)m w djd,/psplaced 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 objecmf3 wf 3 am38mmv7vpb8/jhy8f t is dispmbm/38a7m w f jyfvfm8h338vplaced 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,aqm4/ b6ic 2hj displaced slightly from its equilibrium position, and releashj4m/a icb6q2ed. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequenr-tv.i0t-gl j e oy)r7cy of 1.27 Hz when displaced a y)etlg-vijrr - 7o.0tdistance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. gny-en: 9pp a2Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with -a:ngpn9e2py 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 sp-smq j33- ,h kmavp5cl4vnnm9ring. 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 tnm-lm5 vvk9,- m343hsqjnap che period of oscillation.

  A 0.30-kg mass is suspended on a spring. In eqm lh6-4ii9kc i)5lraa 2w( ahguilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional dista wa6lh)k-a (ihl4i9a2g5ri mcnce of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspendedd( x9sz zuc.zmb yi6f4re s*;6 on a spring. In equilibrium the mass stretches the spring 2.0cm9 4ry*zz .s(du6s ;x6izfeb cm 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 following position versus5k s2:l/ kmq dzi/g5ee time equation:zd kke m5 qi5ge2//l:s
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmoni; ofng:bs*7 tn4w2nj dc motion obeys the following position versus time equatioo sw:b7fn dtj*2ngn;4 n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus ti:*mwuhwu.kv2jr- n3s me equatio-.: ujws3*rmw2 nvhuk n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harrv9d7 bo;z m-h9 ke1pdmonic motion accord obp-k9 meh7r zdd91;ving to 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 20.0 N/m oscillates on j7we)b7d* znt a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretched by 10.00 *7tdnzw7 )j becm.)
(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) Wz1 xtd 0x/o6ho 0o(khq: gmb(dhat are its frequency and period/z(ogh0tdoh0q6k(1 dbxx: om on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its petr-2o go43 xvbu9: crnriod on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lengthmqzq7 8pxmq.1le9 cr 4?

  The pendulum of a grandfather clock is 1.0 m long. What is iiq4+nbwwbvl/sf1pfc6ye k /8.;u ;unts period on the Earev cps n+i;k.u;n qf41uwfb/6y l/8wbth?

  The pendulum of a grandfath0y3wgv-rb n u5a xr5;m;5hva;ava(tyer clock is 1.0 m long. What is its period on the Moon where theva(rtma5 wxv;;5y 0 n -brav;aguh35 y acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg s4 k,la2feaj g( z/ghn8f6io9ypherical mass attached to a massless string. When the mass is displace,4/f o9 86fhgkie nyjgl2a (azd 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 the string instead?

A simple pendulum consisting of a 20-g mass has initial angular disn*k+ uo ;ij4urp w/q(hplacement of 8.0e. I(n*u j4u;kr qio /hwp+t oscillates 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 gii bf z.y,2p+bxven time. The frequency of the wave is 120 Hz. What is y +xz ,pf2bib.the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the3 exzci1 *sqc* wave is 120 qscxe**ic1 z 3Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the waey pn05iuo4m2 ve is 120iuope5y n24m0 Hz. What is the wave speed?

  What is the frequency of a wavehh6f +ujk3 fd;c(pou: which has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500 pazar l /9w3xx g5o/imofkd5u(: 4j2e;lgqc2 Hz?

  What is the wave speed if ny3wi;d t11plj v76od a wave has a frequency of 12 Hz and a wavelength of 3.0 m?dyj;d t3p w7ol61ivn1

  What is the velocity of a wave that has a wavelength of 3.0 m and ku6):neyq y)j7w pgj7a frequency of 12 Hkenq)gwj67y )7u y j:pz?

  What is the frequency of a 2.5 m wave;+b tw u; t5yc+rdu9ew traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 krn,/ u.-rdndm0 kn7opg/m is under a tension of 1350 N. What is-n/7d ,un.r d0mr nopk the wave speed?

  A string of linear dens/yswgyq( (* ijity 6.0 g/m is under a tension of 180 N. What is the velocity ygy(i*/ (qjsw of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling :gyx:+twbew +down a 500 m long wire whose total+:xewg+b y w:t 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 transveo)nws )9ydau) t3q lx9rse wave on a 2.0-m long string fixed at both ends is 2l3)ns )tqu)x wo 9day900 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a 42-ly.-t(cgqdntll ny n)oy 6fundamental frequency of 500 Hz, which one of the following frequencies can set the string into resonant vin(t2.tlln- q 6yyo-gc)n dy4 lbration?

  A stretched string is observed to have four equal segments in a,i;+ywtew 4oet)igs tc ;1h:m standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?iyht4 w g+w;ti1e, ;tcm:)soe

  A string, fixed at both ends, vibrates at a freq 7dc3nq*b jr,*qrqj* jb+vv1quency of 12 Hz with a standing transverse wave pattern containing 3 loops. What b+rc*rvqj*qqb,dj q7 1 3*jvn 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 2j0eoq9/atp8 k0 N. What should its length be if its funda9p/j 80t aoqkemental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of li9 v(mn fe19 wv/* ,kao0tlz b8eouuuf*near mass density 2.00 g/m and length 0.600 m when it is subjected to tension of zt9u/ u0lvfmob1** uwonv fa8,(eke9 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates a8p a0:s2tpiiet a frequensi:ai p8tp02 ecy of 85 Hz, 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.