The time for one cycle of a periodic process ;v-xih 7mpg -3hphv+4 czq7ngis called the

  For a periodic procesu5sm 5,zxe) ths, the number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium p fx8dd0j niu7/oint is called th8x7j fd0/dunie

  A mass on a spring undergoes SHM. When the mass is at its h+z8ujkkp um; ms 3.ix;4cbz-maximum displacement from equilibrium, its instantan -pzx .uu;+ihb;jm3s k c8kmz4eous velocity

  A mass on a spring undergoes SHM. When the mass passes through theb bo(oo)6 jf2v equilibrium position, its instantaneous veloc6o)(bbf2voj o ity

  A mass on a spring undergoes SHM. When the mass is at maximum displbt 3xodnl)hfm6sjc c+65vmf6lu 6 +* kacement from equilibrium, its instantaneous acc flc6h5v xbnc+sdl m36mtk6of *+6ju) eleration

  A mass is attached to a vertical spn; x)h* /own9a;grc i(0dw ndoring and bobs up and down between points A and B. Where is the mass located when its k)hndnxw ;c;wa9 ng*ird0 (oo /inetic energy is a minimum?

  A mass is attached to a vertiizmu5z l1 *wdwtf*5y52k 9mdscal spring and bobs up and down between points A and B. Where is ddym i 51w m*l95fzu kt5*2swzthe mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points A a( jxzjv06 v.7dllh9 hrnd B. Where is the mass lor09h6dx7 hl.vjljv z(cated when its potential energy is a minimum?

  A mass is attached to a vertical spring and evd /f4a)n8krbobs up and down between points A and B. Wher8e4n)a rd/vk fe is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrm ro-euy(msm3:dc9(*d,j bwl z;, bmrating mass-and-spring system produces what b:c 3rm,my-m;r o z,sljd w dubme(*9(effect on the system's mechanical energy?

  Doubling only the mass ofs ,mpp)n3 /dg tj2-hrb a vibrating mass-and-spring system produces what effect on the system's mechanical ene b/3 )2,mrdh npg-tjsprgy?

  Doubling only the spring constant of a vibrating mass-and-e3wwl4gxug )r/g3qv40qa xz r+n0s)h spring system produces what effect on the syslxv3z04w ga/ gesh4nu x0)q+qr wr3g)tem's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Wherepvt9-xduefk48,/sdce e; x j: is t-dxx;et u/4vs 8 ,k f9:cdepejhe period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes whaa v(*re.hrr5gaw ahb+)7oxf/ ee b .e7t kind of change in the resonant frequency of the system? (Assume no change in the srr(g7ebwoa*r5/ vea f. h.ha7+xb ee) ystem's mass m.)

  Increasing the mass M of a mass-and-spring system c 6f1/ , g+8jkfrggowutauses what kind of change in the resonant frequency of the system? (Assume no cha81o tfjw grf,6k/u+ggnge in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kindap(msivj+s -1 of change in thps(mv1jsia + -e resonant frequency 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 0x:(+amk jo)kh0kw kaa mass M attached to a weightless string of length x(joa k00ma)k +hkwk:L. For this system, when undergoing small oscillations

  When the mass of a simple pendulum is triplevyg :dn-xpw2v.r 2gu,t ;/llld, the time required for one complete vibratio u,/vx- rln2ptv l:lg;dg wy.2n

  Both pendulum A and B a.cl o+m9lnl c8)2l+d gqqxf5nre 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. Whalf8l +nn c29.+)mxod5lcgqqlt is the period of B?

  When the length of a simple pendulum is trl, q 0u2acscv)s8c3nc ipled, the time for one complete vibration incre) c8c s 3a,cvqsn02ulcases by a factor of

  What happens to a simple pendulum's frequency if bop4ee,(k j9 yjno q2;q *ziscn9th its length and mass are incre92;cn4* 9 (qyseqi jn,zojpkeased?

  Simple pendulum A swings back and forth at .a;+fy1aqurn; gm3r4j5 eq fq twice the frequency of simple pendulum B. Which statement is emq;4n1rfqr3yj a.u; fga5q+ correct?

  If you take a given pendulum to the Moon, where the acceleration mr27bn z(3 j5kzuy.n97z)btose:th iof gravity is lessm7( n5nes :o93b jt7 r2t z.yzuiz)hkb than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 repmfn/5:5 d2ckcmegw)q jczxl0-v (gj *resents

  Curve B in Fig. 11-1 representso07b*4+uvzpm m7lcp n

  Curve C in Fig. 11-1 represe3 s2r )oyhab +ru.1tohnts

  For a forced vibration, the amplitude ofu ozt,dv*t:lho x o7+n+n* xbhy4ma(7 vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium is r buf/4pxfl nh1-i97w 0i rr+ucalled the9rpxi1w7 f i nr/h0+lb-uf u4r wave's

  The distance between successive crests on a wave is ho53 je l 7:tid/ is16zxb3vo+jfbq)n called the wave's

  The number of crests of a wave passing /x0/ kgwp mds1u8 qydoy1l9)aa point per unit time is called the wave's /9ogdqay 18/y uwms)xdp k0l1

  For a wave, the frequency times the wavelength isdjj,f* w 6bob 78bs,wu the wave's

  The frequency of a wave increases. What happens to the dlu) c t.g 2ak*pbo2sy(istance between successive crests if the2lab (.pocuytk sg2) * speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave oeg6 nr)+ -)iejjqw cgm- by2k.n the same string has wavelength 2l and travels with the same velocitywbc+.jg -e y-n2ei)k6 r)mgjq. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, 1hxprk14z dxf+:;nb7xb6ejkh k8j 7smass M, and tension T. A standing wave is set up. Which 7+ks;b8dk he fb46: 1xxx7rzjpj kn1h of the following is true?

  A string of mass m am gw)x 8h3oge.j+dc 2tnd length L is under tension T. The speed of a wave in the string ic.txw) 8hjgm2 gd+3oes 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 und2bsqxz 6a++y /fq9xzher 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 length is increased to + a/yq6z+ 9zxhx2bqs f2L, with no change in mass?

  A string of mass m and length L is under1vy0whsqg y2w8d4(w qc b,8wt tension T. The speed of a wave in the string is v. What will be the speed ocq(yvw wd0q gyw4b t2 8s18w,hf a wave in the string if the tension is increased to 2T?

  In seismology, the S g5a-wkukx (anabw0 40)0qjo+ ibug j8 wave is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the particlx58 g ouainka4kuj0bw-0w)bjq 0a+g (es is

  In seismology, the P wave is a longitudinal wave. As a P wavekcr -k1ez:-nb travels through the Earth, the relative motion between the P wave and the particl-1nekz r-bk:ces is

  The intensity of a wave 2k(q1ez gu+s5sml t-msy uwf ;r1)t *yis

  A wave pulse traveling to the right alod+d9 sq4mqp z/ tn*x0(hkras-ng a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation p qkq0r(hd ad t*-+9ms4/xs znof the reflected and transmitted pulses?

  Two wave pulses with equal positive amp6;mpt .u;tk 6*beab25j2i on0uw dcxllitudes 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 0bk2pl u b;ix *6t6od52tajecn. uw;m of space at the same time

  Two wave pulses pass each other on a string. The omt,y)vg jo-u 0s; pzflu.uews vu.+++ne traveling toward 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 sam+wv uvp,mjg)+euufsl -u;s.o .t zy+ 0e region of space at the same time

  Resonance in a system, such as a string fixed at both ends, occurs whix- gvxbn/ny.nrd5-y 5+4khv en

  If one doubles the tension in a violin string, tzefgt;t w +qxf2:5kjb :wx5 m0he fundamental frequency of that str5txf :+ tbwfkq2w0xe5 gm zj;:ing will increase by a factor of

  What is the spring constant of a spring that stretche))+xaf1 ef t;3agq*yw4 v8mz hbty6m ns 2.00 cm when a mass of 0.600a *nefvx mzamtyht8+3) 6gy; )bfq4 w1 kg is suspended from it?

  A mass is attached to a spring of spring )r4ybu7spy v73rr5 mwconstant 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 oscillatpry bwv 4)u37 5ysrm7ring. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fricdg67pso*ukoget .9( ctionless 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 g 6pko 9det*c.7ogu s(oscillating. What is the period of oscillation?

  A mass is attached to a spring of sprinx,x.el+ xt;a (p-r2ph 7mpgl pg 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 tl+px(x tae2-7ppmg hprl, ;x .o its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations in 5 l3bl 5c93t1rlnk5odq7vh /1ond l2mp.0 s. What 31 dln5blo53hd9lol pt 71m2krvnq c/is the period?

  A mass vibrates back and foxy1e7f x/ohxc kn 2t.; ezwd+,rth 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;x 2 .x 7/ xeo,kt+dz1enfhycw0 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 2va(tra(7ajheg a *m+9d :1n ex0 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and j :7mdn gh(vae ar1t*9xa+(a ehas 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 energy is x4jvo()m1s;i(uzs.vt yxf d +o3 c4tq8.0 J at this time. T1 os+ ( mi4 ty;cs(.zvfqxxj4dv3uo) 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 now?

  A 0.50-kg mass is attached to a spring of springpd4ls,de- 0mmtf2o9e 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. What is the amplitude of vibr-t,20 ledefs9mod m4 pation?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a u1 -w-hk)u h xg8gjg*mpz ,6izhorizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5g8h-jz1 hupmu,xk-z )wig* g6 m/s at the equilibrium position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached tnxu; alpu/5 4si9ea6vai/w q 9o the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion u9;nvaixwia9 l4e a/u6p/s 5qwith 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 agq3 r fs50coy0 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 me0rfo c5q0 3ysgchanical energy of this system?

  A mass vibrates back and fhy7f yd 7kp1ar /aa beif2q+;9orth from the free end of an ideal spring of spring constant 20.0 N/m with an ampl;y+iaby7ea 1kq 29f d/fhapr7itude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system ivxr a23a:c.ko -9wr/ gejrk9hs displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. Whata wc r9.rkrh:va -jk2x e3o/g9 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.zf 5rb- wig:d N/m. The object is displaced-5:bri fwd .zg 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 springlv )6nt gqxjf v54e mrs8c1+s* constant 10 N/m. The object is disp 8 6tj4vxmegnqsr5vf+)s*1l claced 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 spyg1)bp4p1*q ,8evuk8ep go nyring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vib8e, 4vu 1k) *nyy8pqbeo1 pgpgration?

  A mass is attached to a spring. It oscillates at a)qb,wb)0jkh *;d*d gc +y1brw .ljrgk frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. , rdrbwcbq+h)jkk*ygwg1.) b*dlj0; What is the maximum velocity attained by the mass?

  Two masses, A and B, ared8qtrid )wa ;ftzwo (;4zrl(- attached to different 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 maximumdz wt;rqoi((t) ;-wlda4 fzr8 speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspen9qb4r df9cm.i ded 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 b c9i 9.dm4frqand released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrer ayu*;r ;4kg d:8vm;c9abhoium the mass stretches the spring 2.0 cm downwarv y8gre:4ahb; a; 9;* odrmuckd. 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 az:q+y*ijbh tdy j j.v (sjaezj9n1/ 37 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. j/av( tj bq*yd:.s 3 jn17 jezjh+y9iz Write down its equation of motion.

  An object in simple harmonic motion obeys the f, qy,z*/ h z ,ojt+w2i0u dekivhol1 qko/.s0aollowing position versus time equatioykqzd/o.uoka 0 i,eh /wz+q jvho2i1t* ,0s l,n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positiom t+)gy 7qav0 r:)iq3k;rjbtvn versus time equatiitjqrb7gqr+ :m3yav ; v0))tkon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus ticjw)3t(l 0bu.0p ptafme equatiac0)tlj.pt(0fp bw u 3on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simpleon lkqq osq0 nf9y+4x)4. g;se harmonic motion accordioq9l.04); qsk xe+4nfo gsqynng 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 onzo b(pt f.v))-ofyw4fe ,7ga n a horizontal, frictionless track. At t= 0, t pyv))o4tg-ze f.bfwo 7a(nf, he 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 cv4u.qc (cwabvta) *t4omplete swings in 8.0 s. (a) What are its frequency and period on Earv.)*( u avt4bwtac q4cth?

  A 3.00-kg pendulum is 28.84 m lskzuvdzuu0a) j9q //g kg51 r.ong. What is its period on Earth?

  A pendulum has a peri zdn cvm)5wy-2od of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. Wha mj*gx)uzvxa* 26d;fnt is its period on the Eartx)gax z*ufj*6m n dv2;h?

  The pendulum of a grandfather clock is 1.0 m long. .i-a;7/wke y:qzq 5 0rozbmft What is its period on the Moon where the acceleration due to gravb oqzweaq f;- 5zry m07:ki.t/ity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a k,f+an ((yifn 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 di nf,(k (iynf+aameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacement of x:0p6r(pl26 affe lha 8.0e. It oscillates we(rx:p0fhfp a 6l26laith 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 "snapshotq//uxszzm u5b;) z(/ lhrgm e3" of a wave at a given time. The frequency of the wave is 120 Hz. What is the amplirszzuhl q;35z)xbem /(mg/u /tude?

  Figure 11-2 is a "snapshot" of a wave at aptav4a9mpec2i d .4+ b given time. The frequency of the wave is 120 Hz. What is th+4a2cmib94v aep.d tp e wavelength?

  Figure 11-2 is a "snapshot" of a wav2z t-vp/bw ;ite at a given time. The frequency of the wave is 120 Hz. -w 2/tzvtb;pi What is the wave speed?

  What is the frequency of a wave which has a period of 6.cp p3 l5initq 684yzz700 ms?

  What is the period of a wave with a frequency of 4ecaz m5kaz/ ;g(r4rf1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz anm6 r;z 0ioz+84oo5jue xqm;vp9 +tbm cd a wavelength of 3.0 m?9e5om8+4zrmm6 pxo0cvtz+ibqu;o; j

  What is the velocity of a wave that has a wavelength of 3.ubg4/fe,z9 o y0 m and a frequency of gu/ybfe o9z 4,12 Hz?

  What is the frequency of a 2.5 m wave travelinbai24;buz+s kovhhb3ar 2p;7l549o bfdl*d o g at 1400 m/s?

  A piano string of linear mass delsl4j zrf0w.j p3it6. nsity 0.0050 kg/m is under a tension of 1350 N. What is thepwz. r0slj fi.4lt36j wave speed?

  A string of linear density ko)bpl* *,vnt6.0 g/m is under a tension of 180 N. What is the velocity of propagn)k,t* p*blv oation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wi v+3ygoru*o2ia68cfk re whose total masso yv63crf 28*+o uaigk 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 d6kt*ft c j9wpm 624.;niyvgt2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of v tg*9jd6tytpmw;4 6. nic2kf this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of noj9ut- den1f4a*hf*8u ae/s the following frequencies can set the string into resonan* dhj*9nu/a u4s1an8e f-toeft vibration?

  A stretched string is observednzu(2 z3 y3 ,ap6 sak4wwn)kbb to have four equal segments in a standing wave driven at a frequency of 480 Hz. What drivs p( 2463uzw,) kzkb abynnwa3ing frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends,vup rt z--3 b/xq+dfc, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standircz/-p3-fv qtx+u db,ng 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 l v vfp7upju, 5fd2akg x8v.b/9 tc-8iits length be if its fundamental reson j8u.dklp tv9-2,f8ia vbu x7fpv /g5cance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass ff-+bwi c0len;(io-ane 4, hp density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0 -4o,+c ehe ;(nnw b0ai-fifplN.

A string of length 2.5 m is fixed at both ends. When thee o b9+kucy3,z string vibrates at a frequency of 85 Hz, ac 3ubyo,z+9ke 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.