The time for one cycle of a periodic process is callatrxoza+ ch:*rmp ,( 6ed the

  For a periodic process, the number of cycles per unit time is cals zl66ane57a:c+md r nled the

  For vibrational motion, the maximum d rkdlez ;+jbj ii,9 71hh:qdl.isplacement from the equilibrium point is ckj9l l +d1ibhirh 7 ezq,d;.:jalled the

  A mass on a spring undergoes SHM. When the mass is 67:snd nlmgo-0zvid : at its maximum displacement 6n:-nlsvd0 dm:zi7og from equilibrium, its instantaneous velocity

  A mass on a spring u.co. u glnrk,3ndergoes SHM. When the mass passes through the equilibrium position, its instantaneous vec.3 on.u ,rlgklocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement fowk.u+q iwk0 03lwu(m zh44s from equilibriu+hw l4wm uk0isq40.3wkzuf o (m, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and d;k ucs (f)bwo6own between points A and B. Where is the mass located when its kine;f)ko6bw c su(tic energy is a minimum?

  A mass is attached to a vertical spring and bobs up 7*.cq6-uprt z3s ls qvand down between points A and B. Where is the mass loc uvq -cs6rs p3tzl.q*7ated when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points A a ox9q2jycl23lssjwz. *z w3r ;nd B. Where is the mass located when 3w.yqzsj2*l r9j o2xz3 wslc;its potential energy is a minimum?

  A mass is attached to a vertical sprie)ve ph./7 leqng and bobs up and down between points A and B. Where is the mass located when its potential energy is a 7)el.q/ epvehmaximum?

  Doubling only the amplitude of a vibrating mass-and-spring s;sb8h dby6 o-h/dyf*mj-pe,nk (t 4rqystem produces what effect on the system's mech (m84-b;rqfydh6y-,nk b e/*pdh tsjoanical energy?

  Doubling only the mass of a vibrating mass-anu w:z*is. 60kuhiu aa l22m;2ls;wrgfd-spring system produces what effect on the ful ; hg0m.za2;k us*62sl2riaw uiw:system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-i v0v 0y9s:7xc:mcgnh and-spring system produces what effect on the system's mechanic7hvin :0cmvsc x 09gy:al energy?

  A mass oscillates on the e3 wok.k,lmiw r-k 5(zggsys6g/xq27and of a spring, both on Earth and on the Moon. Where is the period the greatemga(sk k.ys ,5-2 3/gw 6iwr7gqxlzkost?

  Increasing the spring constant k of a massne rn.)*g a) g;cg,oma-and-spring system causes what kind of change in the resonane)o *ggmnca ;.gr,)ant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causci x,v48/kwzz)v-a hhes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring constant z zhia-v h,)kwx/ 4c8vk.)

  Increasing the amplitude of a mass-and-spring system causes what kind of chav8q* rs3/xd jdpdbo.;nge in the resonant frequency of the system? (Assume nxq/vrsdj.op;*d d83b o 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 consisn gbw)rr5os+ /ts of a mass M attached to a weightless string of length L. wr ns+or)gb/5For this system, when undergoing small oscillations

  When the mass of a simple pendulum ztlzolq8 30 dxs( -y/sis tripled, the time required for one complete vibra8dl-/s(zqzl 3tso yx0tion

  Both pendulum A and B are 3.0 m long. The period of A i4cls k7.eu7r ss T. Pendulum A is twice as heavy as pendulum B. Wlkc7rss .4eu7 hat is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete v6vz(a./dqj: yiscr v 7ibration increases ci7( j /6a.v:vqyrz sdby a factor of

  What happens to a simple pendulum's frequency if both its length and mass are in*c b*xg) c+i l8uzf/bhje5r 8kcreasedhg5befz * jl8cx+8 )bc ik/*ur?

  Simple pendulum A swings back and forth at twice the frequency of simple pendul euk awi-4x89oj0 +ivx7ydlv;ouf (3 mum B. Which statement is cou(+vi x v3aufw9d8o xi7k0 ome-y;j4lrrect?

  If you take a given pendulum to the Moon, wheg-5g wepz/sv4fz* d4 yre the acceleration of gravity is less than on Earth, the resonant frequeng 4/zv5-fs*ywz gpd e4cy of the pendulum will

  Curve A in Fig. 11-1 repr/.fixv7cf 8emwi+ +vresents

  Curve B in Fig. 11-1 rep3p.fs8hz3j*t sofx *hresents

  Curve C in Fig. 11-1 r 01jsil)/phix epresents

  For a forced vibration, the amplitude of vibration is fouk0b(ie7s t3jy r8ffgk11+p bhnd to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrjz jpq/q+7yprm12k,b f5dy5p ium is called the wav zj1+pbjp q7 yp/dq55ky,m2rfe's

  The distance between successive crests on a wave is called th 5dgfr9ev bl*d+)4 zjie wave's

  The number of crests of a wave passing a point per unit time is called 9+musgrc6 qe-the wave'suc9rg-e +s6 mq

  For a wave, the frequency times the 0j bi);/ *cd4ns-ckrc tic r5zwavelength is the wave's

  The frequency of a wave increases. What habrf)2m/kkpy 1zwl, 9 vppens to the distance between successive crests if the speed remains lvfk,r 1k2pzw/ 9ymb )constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on thg bqwf*m2*lmr.1m.x d 1zd 4( hgjj(hpe same string has wavelength 2l and travels with the same ve2l((jp*qr * d m x1m.1zd4fg gb.wmhjhlocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, dm+ 7rig *j83*ft9 )r3 3yv,sceevvyixewmb4and tension T. A standing wave is set up. Which orvdg x)v94ry *be*y3mwc e3 +i,sftmejv8 i37f the following is true?

  A string of mass m and length L is u9 9)lamz)mbr. nm b x 1cw491lxfnr5ophra*w5nder tension T. The speed of a wave in the string is v. What will be the sm59r9a 5hl r1pbw. nwonrzl)1xm4)*b9 axc m fpeed 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 tensio:2 qy.(fjuuk5x s7zein T. The speed of a wave in the string is v. What will beu ( qf:x5ksyiezju2 .7 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. To 1/o: kn-8oe*:r ck53ii.nfl m wetsrhe speed of a wave in the string is v. What will be the speed of a wave in the sr5oe wone/ 3 .n:sk:8imrf1kol-*icttring if the tension is increased to 2T?

  In seismology, the S wave is a tranydp :3f)soe76g /cnft sverse wave. As an S wave travels through the Earth, the relative motion between the S wave:es36tygo f/d7n )pc f and the particles is

  In seismology, the P wave is a longitudp s0 d5ul6 fkaylsjku2v,+t4 mtrb ytr9;72-ginal wave. As a P wave travels through the Earth, the relative mot7tfulykg 9-v 6;t u4+sj,5kra2symt 20rbl dp ion between the P wave and the particles is

  The intensity of a w . rnlm9er/nbes; b2-6/vf;;x:*vpaz rr dum yave is

  A wave pulse travelinn 7px2 3ynmu/vg to the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation ofy/u3p7 mx2nn v the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, ,qt) v88xbt 7utixvoc3.a 9omone is traveling toward the right and the other toward the left. At the point that thtx qu9,txot v. cmab)ov83 87iey occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveli/ .6um(f rpegcng toward the right has a positive amplitude, while the one trg up./6fmre(c aveling 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 u66x qq(yfw v143mpuo fixed at both ends, occurs when

  If one doubles the teooq(y91z hklu pf umk:5soq:v 9l(3 8vnsion in a violin string, the fundamental frequency of that string will increase by a fac:us(m pq kh5y91 k39z8v(fqol oluov: tor of

  What is the spring constant of a spring thatxtl 6icmh 8z 7a3ei384rboz)y stretches 2.00 cm when a mass of 0.600 kg is suspended from be7mr8hxaci83 o6)lyzz 4i3t it?

  A mass is attached to a spring of spring constant 60 N/m along a hv 5z6f nj4umb3m 6ivm9orizontal, 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 backb3jf z66u49v i 5mmmnv to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of springepq0g8za(1h o 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 leq aogpz0eh (81t 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 spring of springtfps,uc 6a;9nk.z te f p+ 8ublsk30,r 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 ,z +k .tprcus p;,nel3tkubf8a s0f69equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoekjoo4sw7 k65qrn5(wm s SHM. It goes through 10 complete oscillations in 5.0 s. What is the perioqo m76s5j 4krn w(okw5d?

  A mass vibrates back and forth from the free endk)5+ )tu.fnetsjin2yx v(ew - 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 its y-n t() te xfevkiu)w.+5njs2equilibrium position?

  A 0.50-kg mass is attached to a s49 anfml3- ped0jwgsv r+;3lh pring of spring constant 20 N/m along a horizontal, frictionless surface. The object osceadmplr- 3 +h;9sgv 4jwf0n3l illates 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 amplitude of 49h8 yd6 zg bxpmy1)jm:3v0wgl 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 energygl3z yjh81g bm9yx0dp6: mvw) of the system now?

  A 0.50-kg mass is attached to a spring of sprinjj bhy;pk0wv*:tge 5 ;g 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 hg*bpw50te j ;kjy;:v the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/9 mak 1 ;1se,dsx -3l6n)sezg hcyn7jgm 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 kinetie6mxhlg ek7snzy;9 1 g1c sds j,)-an3c energy and the potential energy the same?

  A 2.0-kg mass is attach 7a3n:y-p kqjjed to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic jjn ypk-a7 :q3motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attachedxnl, c0nuwk*3 to the end of a horizontal spring of spring constant 50 N/m and s w,nx3c0ulkn *et 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 bf)q +j)q,mq;)f ejpfforth from the free end of an ideal spring of spring constant 20.0 N/m with an am; q m)f,qe)jf+bpj)qfplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced vm2bvcs 7b3pns.6 fj()7jlhc 10 cm from its equilibrium position and relean) p c b6f7c(vjv27sjlm3hs.b sed. A frequency of 4.0 Hz is observed. What frequency 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 N/m. b,b wq rr+3z02omzs7c+d4rki The object is displaco rrrc 7d2s+mw+ib0 4zq3bk, zed 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 i4ij.8my ja7vcyrx +.10 N/m. The object is displacea8vxrji4 mj.. i+7y ycd 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, displyjwp8n8: (2 mkbyv-hob l2e6b aced slightly from its equilibrium po8wy2(e8 ly:bhvnj 2bkbp o6-msition, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz whesy l6,1bgbl*kn displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocitybkl1,6ysl gb* attained by the mass?

  Two masses, A and B, are attached to different springs. -c ujwm (o(5qdMass 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 (uwc5jm-( odq speed of B?

  A 0.30-kg mass is su.1bdk 2:n,awynzgerl 2:d4p rspended 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 cm down and released from rest. Calculate the period d:, 4:12dp e ar. knyzwbrln2gof oscillation.

  A 0.30-kg mass is suspended on a spring. In 7f+cmxj8j (au equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 ua+f7cmjjx(8cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In e0ts,* a mfs(xnquilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an addis(t a0 fs,n*xmtional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeyh( 8xvei(d*5g9viz b kd+oe f)s the following position versus time equativ5 kox(8d)h g*efe+vd9 b(izion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic mot921rwq keajq)gjq *4u 7)dmt jion obeys the following position versus time equation4ejq)uw jdq 2raj7*m91ktq g ):
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys t dvsr9:r75im vhe following position versus time equatio7v5s drvr9:m in:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end tmcyp9l;dbcz, 3 0-fi of a spring executes simple harmonic motion accodltyi9p0m-,3cbf ;c zrding 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 xs xo wx6d1k jh-9a(;pN/m oscillates on a horizontal, frictionless track. At- ws; k9ja6xx( o1dhxp 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. (a (9y8wfbj- sj:og ay y5.kkk;e) What are its frequency and period on .yo: wk;k-ke ys8gjj(af59 by Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its tfwxktmj1k.+ mn+;2aio0 qs 2 period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is i bloa5akwff9u0 dx/w.lw.v0c3 i-;rn ts length?

  The pendulum of a grandfather clock is 1.tbyd 56p7/nrt 0 m long. What is its period on the Ear76yp/tbd nt5rth?

  The pendulum of a grandfather clock is 1.0 m long. What uk4v9b-7 b+1t cpmxuq is its period on the Moon where the acceleration due tu+17 cvbm4-b9upktxq o gravity is only $1.7 \; m/s^2$?

  A simple pendulum con-e rbtzkpi9deo u. /co-;e6y,sists of a 0.25-kg spherical mass attached to a massless string. When the mass is displaced sliyi. 6pc /o 9ob-trk;ezude-e, ghtly 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 angud*2nialy e l+qxw52ymll0 b*qyle, :9lar displacement of 8.0e. x,q y 29qel lbnieyd52*:m+w0ll al*yIt 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 given time. The frequency 1(j)svs.l xtz of the wave is 120 Hztv)sxl zsj(. 1. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. Thed 74g1xis f *,teyuflu,c fd5( frequency of the wave is 120 Hz. What is th*5f7(u, 4lityf,fe cx 1sdudge wavelength?

  Figure 11-2 is a "snapshot" of a wave at a /y dwtjfge:p2k7z(qo g/h,w)given time. The frequency of the wave is 120 Hz. What qt7 ge ozf(w2 /dwk:/yjp h),gis the wave speed?

  What is the frequency of a wave which has a period of 6.00 ms?*sedd4fmz14o

  What is the period of a wave with a frequency(r b(. t0./ uw6e wgky8+ydbgealp elxt*1s z8 of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength: p 8jy6xsn6zx r/yn1n of 3.0:s6 pzyyr1x j/6nnnx8 m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequen e apug5. )kkrirk+5ps,i:+bncy of 12 H bpks)+u5+ ri gaik.,re: n5pkz?

  What is the frequency of a 2.5 m5 j3vsijdu z,- wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg 6jmyousz7/9x 7ee1 uf/m is under a tension of 1350 N. What is thzfe/o7umj7xy1 use 69e wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. cb/h4h ;zlyvf4+d9t;ixbtd/xz pea: 4z4vh1What is the velocity of propagatioczv;ve;h4a// +4dt 14 biz b:hlf9x4yhd xtpzn of transverse waves along the string?

A wave whose wavelength is 0.500 m is travelioe tn*g5 a(t. ,gj7hp6xtwbt 4ng down a 500 m long wire whose total mass i aew(5 t6 4gon,tp7 g.jhtxt*bs
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 strinz ) :l2h3ihm) emq42adk o)9qr9kufkh td7u2jg fixed at both ends is 200 m/s. Which one of the following is not a resonant fredmkf9h9 7kj)3dh oqki)2 uu:2tz m)4hl r2qa equency of this string?

  If a guitar string has a fundamental fr fl)/;p flo2*k e+q ,vj4xkfihequency of 500 Hz, which one of the following frequencies can set the string into resonanvq/fj4*lkifke + xp;l fo)2h ,t vibration?

  A stretched string is observed ttta8 o w)7v:,xhbq,u: yzcqh(o have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equawqxcvz,a:y:7u b t qhh)(o8t,l segments?

  A string, fixed at both ends, vhmnqmet7: l2bal 78 q1ibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the tm8h bq7qae1 l2ln 7m:standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should irs7wq1 vd+asjw-kx(xuk*- s;ts l7;qvw(+wa-ksx*k sju1 d-xrs ength be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densityk e(lede(gaf 4y.o 7(3b/sajj 2.00 g/m and length 0.600e7 bfd3gj /o(.eakesa y( 4(jl m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the strizlzkch0 8;*1k 6 yvqphng vibrates at a frequency of 85 y8h0qzl*ch1z p6; vkkHz, 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.