The time for one cycle of a periodico 0yqax k .h5o3+j6phi process is called the

  For a periodic processc( z wx4,re4ud, the number of cycles per unit time is called the

  For vibrational motion, the maximum displacgankbjj2:4cz /qt ; cb )9t5qrement from the equilibrium point is c4r;q9ctz q) kbbt /acjj2gn:5 alled the

  A mass on a spring undervhk8se2ya 2;g goes SHM. When the mass is at its maximum displacement from equilibkhseg;2 ya2v8rium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the massv: do0sinp *( wfz*iqg whps zc4,64(z passes through the equilibrium position, its instantaneous veloc:(g i*w 4ci4qzw* sp(6of0v,spnhzzdity

  A mass on a spring undergoes SHM. When the mass is *fw07 o+6wcq uhx*myss 7o0ns at maximum displacement from equilibrium, its instantaneous acceleratiosxc 7sson0+0*u6*h wq yofm7w n

  A mass is attached to a vertical spring and bobs up and down betwgqaqcat1rd) d63 vn;2een points A and B. Where is the mass located whr a 1tvgq)a3n;d62 cqden its kinetic energy is a minimum?

  A mass is attached to a ie1( 8thm)bkzy/r5pp vertical spring and bobs up and down between points A and B. Where ip/m yzthi8 1(er pb)5ks the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down da.i/9chj3 br h)fh7v between points A and B. Where is the mass lochhv)b /f j.7 ch3idr9aated when its potential energy is a minimum?

  A mass is attached to a vertical spring x 2sua,m,6du uand bobs up and down between points A and B. Where is x6 m,sd,u2auuthe mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-r 3j7mfj k+ fts5n1u2q*f otj:spring system produces what effect25*fm7jt :jukfn1st o3+j rfq on the system's mechanical energy?

  Doubling only the mass of a vibrati , r+1:q v p9vrh:sx1fj1wovsi7bpte0ng mass-and-spring system produces what effect on the sfv+bsir:p 19 1,e01rhvoxjqsptvw7 :ystem's mechanical energy?

  Doubling only the spring constant ofvm5xoq0eev/ , a vibrating mass-and-spring system produces what effect on the systemvvo m/, xe0e5q's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth au ie s3;;q6ehym6y 9hend on the Moon. Where is tyms96hq;e e;ei63uhy he period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what k, 3n;s5r3xubac)teoh ind of change in the resonant frequency oh;5 eoartucn33)b s,x f the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes w u f krzhx9-fv560ke :1*pa9 mamab0zthat kind of change in the resonant frequency of the epu*fak zb1tm9 xf05r 9-k6zaa:vh0msystem? (Assume no change in the system's spring constant k.)

  Increasing the amplitug tm87q0f bbuxk0b* 8fde of a mass-and-spring system causes what kind of change in the res7b*0f08mubqtb f gk x8onant 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 og; v eu2 1xw +et)sjtz0:dao+ef a mass M attached to a weightless string of length L. For this system, when undergoing d2s)auze+e:e+v1 ;wt j goxt0 small oscillations

  When the mass of a simple pendulum is tripled, the time reqoxw,vt2 rm +0rq-j, k lhqs55luired for one completehq0rkr 2 vj q,l-5lo+5tw,msx vibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Penh,k38d ujys vvjv q5(,l)9fpddulum A is twice as heavy as pendulum Bv d3,v5(dj9,ysjf vp qhk8 )ul. What is the period of B?

  When the length of a simple pendulumg uvd s-qngb*,vl ;bw;kk ;5.r is tripled, the time for one complete vibration in;,ds. 5kw ;ng rv ;-bgku*bqvlcreases by a factor of

  What happens to a simple pend f7 tyz7, s1ngz9n1gogulum's frequency if both its length and mass are increased?n tggyo 917z1nz ,7fgs

  Simple pendulum A swing6bw f ws bsi ;e:x/ +o5qde7xtsi8ste1t; n7e5s back and forth at twice the frequency of simple pendulum B. Whicse55b q+s;e/;tfx7sd on t 6wt871wx:biseieh statement is correct?

  If you take a given pendulum to the Moon, wheren lhuf, hv3(k)r-ks1e the acceleration of gravity is lesksrn( k h,efv1u3)-lhs than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represents -k /jmtv*bl7y

  Curve B in Fig. 11-1 rkxi.j1 ug(dk 1epresents

  Curve C in Fig. 11-1 repres5ww fxg imz,/9ents

  For a forced vibration, t.d 0 iyy,waoy8he amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of poi rhxwuns/y5 k9yhby, h6s5d-9nts of the wave from equilibrium is called the wavuhk9y6 nhr/by, sh5x5w-ds 9y e's

  The distance between sfzz6+f2m lo i p*kwt25uccessive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called 2zab4 q,q bpit+wot6v;lb -m8the wave'siwbtq86- t ;zm l+q p2,baobv4

  For a wave, the frequency ti;ev dp65hb b9iw3u4 vdmes the wavelength is the wave's

  The frequency of a wave increases. What happens to thefp ,r/xccy 0uck7e;0x distance between successive crests if texp,;0c / 7cyrkfux0 che speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A sedm-4;-ns9nee:)m bjzszmu 1o8 wcw.s 2lot o1cond wave on the samet-oo1ms:eou2dw-1 e8;l 4 n sjsc9m.n)z b wmz string has wavelength 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 M, and+a1jjw1y luu; tension T. A standing wave is set up. Which of the folw1j+ uly1u ;ajlowing is true?

  A string of mass m and length L is under tension T zw /my1)cw6gdgm+u:qe1g 9ie . The speed of a wave in the string is v. What will be the speed of a wave in the string if the mass of the string is increased to 2m, with6e+gwe9:)duy1wmg z 1mic q/ g no change in length?

  A string of mass m and length L is under ca np f6ztm5 2btq-v):tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string ibfaz q vt2n 6pm-)t5:cf the length is increased to 2L, with no change in mass?

  A string of mass m and length L is;x7 kpwp 7caq1 under tension T. The speed of a wave in the string is v. What will be the speed of a wave qwp1p kxac;7 7in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through th,s2re2yu bjr2o r te0,o5f(vce Earth, the relative motion between the S wave and the partitysro2vr 02r5f,j(, 2 oece bucles is

  In seismology, the P wave iou) vu+gnkxzmb+ 60p7s a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and 7mvpbg+ 6znxk u 0o)u+the particles is

  The intensity of a wave iqhs2 yr gj mb:/si+u,)s

  A wave pulse traveling to the right along a thin cord reache0k2(7myvd kpsxlh pb hdi)85 *s a discontinuity where the rope becomes thicker and heavier. What is the okh*7hs dk5yx8(m)vlb p di02p rientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass eac kjn1v. fvk shrwft14c7/cv80h 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 space at the sav crvw1vk .7j0snfh 8c14/tkf me time

  Two wave pulses pass each other on a string. The one traveli4m e rv0c;xk4nng toward the right has a positive amplitude, while the one traveling toward the left exvcnk; mr4 04has 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, suci6(gf o-zrql7zz a)8kl .9yv jh as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequr 0 -.ad8p/xtkx1kdzkw+e zc8ency of that s8-kx.ezdkt +/c p0zxd1w ar8ktring will increase by a factor of

  What is the spring constant of a sprinne;g85ac:.qfnvt phj+c gei l h5 (b/(g that stretches 2.00 cm when a mass of 0.600 kg is suspe cq;ni jv:tf5na(elc. pg5hb 8heg/(+ nded from it?

  A mass is attached to l8zu 4sbh*2y)jnutub ,:jwh2 a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a foyblz ,hs 2:*4)bu tunjhw 28ujrce 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 t p9jcec9vv i70:efra; hx6lg.o a spring 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 l;c:9j6.ix gr veapv7lh c0fe9 et 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 spru g7x4w(;j/ z8hf xz/pkfh:g fing 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 frequency of oscil pzhx /gf:f4/uwx f7khg8(;zjlation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations in z-ungp:+3p/ *vd2bugaz 5 zds 5.0 s. What is t5*zvp 2-ubp:sgd3zgz n/ +uad he period?

  A mass vibrates back and forth from the free end of an ideal spring o0c 3ff)pyso w6f spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mascpf 03w)6yfo ss when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constantobla3)h 0 tk bt3z3yf5 20 N/m along a horizontal, frictionless surfacebly5bfhzot3 t k)03a3 . The object oscillates 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 4 cm. The energy is 8.osf we/dl)aq6 lob* bo.2l5) m0 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 thelq.) s 2b5e6)*ol o aomdfbl/w energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a hor9jld (++telf+ ns c ))a 3,njkg,weliiizontal, frictionless surface. The object oscillates in simple harmonic m , +ln3f)wik,c+ai9llst(e+g) jnjd eotion and has a speed of 1.5 m/s 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 horizo6hu7f a:0oj70tpy wwlntal, frictionless surface. The object oscillatewl:0tfu ap 60h7ojw7 ys in simple harmonic motion and has a speed of 1.5 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 to the end oflly4+u+*su i:k gutkwzd69 ;r a horizontal spring of spring constant 50 N/m and set into simple harmonilg4+kt9k6idu :+swlu yz *u;rc motion with 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 a horizwh adb e(4ex t:8vq*d4ontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude: dbq4v hx(t 4ewde8*a 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 ideal shlva ev7;ow h l/qcw3kff;)**pring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating masshlv*q* vfc/;3 ;k7 wf lheoaw)?

  The mass of a mass-and-spring system is displaced 10 cm from ejk2k tp ..8opq)2 4na1 vmavfits equilibrium position and released. A frequency of 4.0 Hz is observed. What freq1vjof2tk aqm8 )ppn2vea 4..kuency 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 Nlotc5 b 6p11zneyhj 11/m. The object is displace1 oe6 zchjb1ynt11l5p d 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 object i43aqn)cqmpsgmkhxq 20r2 *+x s dm g4 r*ap)qk2s2nh x0qcxq3+misplaced 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 sprim niq 148(x/gq5js ipung of spring constant 18 N/m, displaced slightly frux g/siipq54m8 q j1(nom its equilibrium position, 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 wheneyxt s8k b8lcg0v64b, displaced a distance of 2.0 cm from equilibrium and released. What is the maximum8 6xetbylkgbc 8v,4s0 velocity attained by the mass?

  Two masses, A and B, are attached to differpqnc tw )m/xb :b,te/u(c-jm2lb/ti5f e/de0ent springs. Mass A vibrates with amplitude of 8.0 cm at a frequen0iqxtm b/,5ueb- /tetpb/dfe clmnc(:/ w2 )jcy 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 speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrihv 8)ozjkgzw1y*tq):um 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 of oscilv) k:j8thoz)zw* qg1 ylation.

  A 0.30-kg mass is suspended on a spriniwyygk mvy (nq,6a/*2g. 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 n,k 2w(* qyg/ 6ayvymitotal energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the massny) 0krp-fzy0;l) owf stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest.0 0)onwzfy;y kl-)pfr Write down its equation of motion.

  An object in simple harmonic motion obeys the following 4 s)u(il8t 1sostr-ybposition versus time equation1( s-tr8st)iylbu so4:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following uxg c/gkd:,b 6position versus time equa,c/:b6 ku xgdgtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following posiiiq 7g/r pmi68j cj(z+g+w2fi(xr:votion versus time equazc +2ix(ii(7/j+ogmgp wfj: i vqr68r tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion az-y4ww : pkp,dg g 4r (hzo(p:mr7sp/iccording to the p: ow-4( 4gzp y/mhprwzk:,gps(ir7 dequation $y = 0.50 \; \sin (18\pi \times t)$ 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,0tfvz q2 lrk f8z2cm0 on a horizonta fv82,cz2ql0 t 0kfrzml, 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 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 b lqw 1e2b6mu m7myt/)complete swings in 8.0 s. (a) What are its frequency and period on Ea 1m lmy7e2tu b)wmb6q/rth?

  A 3.00-kg pendulum is 28.84 m long. Wkcdz,dksd n - svw22(6hat is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What)cegqn9zg w7a/of* 2g.ntz7p is its length?

  The pendulum of a grandfather clock is pc0gv0osn1/kgmf9 yu 2 ,4r br1.0 m long. What is its period on the Ea0/1u9mgc02y br 4n skg v,foprrth?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on th*hcy z4yy-3 r5j2epjsp(fb 8he Moon where the accelyp 4 y83h5z jsc-hypjeb2rf *(eration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists ofdjz kt jj bq767ado;.) 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 swioadjbd k67)jzq j.; 7tngs 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 masvmne+8pls1zx aglt12/ c sfkf*8j9*es has initial angular displacement of 8.0e. It o me/ax 1ztn e1*fs k2 l8f*+pvg9cslj8scillates 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 "snaps7 :lt pnkyl*;qbw78 xwhot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the amplitude?tly pqb wx:8l7 ;n7kw*

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency *;j6q89n50b i q mvtsh64u uoubpyn/ fof the wave is 120 Hz.6*minb9s/ 6ovqt u0 ;85fhjubqyn pu4 What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequencmac bn8ete5tv5/x74c5 azu p1y of the wave8v 145abc7c xztua eetn5m/5p is 120 Hz. What is the wave speed?

  What is the frequency of g ;txx/(uit- ea wave which has a period of 6.00 ms?

  What is the period of a wave with a freqf/l vuyf0yt4 1n bkmgzjil-8+,6ap/ zuency of 1500 Hz?

  What is the wave speed i 0ktf)b/ogch:haz j/+i 06rm zf a wave has a frequency of 12 Hz and a wavelength of 3.0 ac0h+ 6:h)bortz 0ijgmk /fz/ m?

  What is the velocity of a wave that has 3of4lmlj7 25rpa0 cpoa wavelength of 3.0 m and a frequency of 12 Hzl7f345o c 0arpomlp2j?

  What is the frequency of a 2.5 m wave tpn8i mdm2-lufgj k*9) *s rm1qk/anp2 raveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tek8rwnr0ph6x1jh+g, , y x-oc(horb+ pnsion of 1350 N. What is the 8prorhj0 cbwp+ ,xh1gy+-or xn kh 6,(wave speed?

  A string of linear density 61emhvxs 4q:(b - bzgra,yl7ll x5b, k5.0 g/m is under a tension of 180 N. What is the velocity of propagation of tra ,xxm vly a-r5 ez,s4bkhbl7g1bq:5(lnsverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m loukd (to.p:e 8n/+obie,orc 6zng wire whose total masce 8zio, /up to6d+e. kb(r:nos 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 string fixed u(9j l(cu 0ya+ajz o(dat both ends is 200 m/s. Which one of the fo z(9j(cu al(+uoa0jyd llowing is not a resonant frequency of this string?

  If a guitar string htg2+, hnsf/w tas a fundamental frequency of 500 Hz, which one of the following frequencies can set the strt h2/fg,wtsn +ing into resonant vibration?

  A stretched string is observed to have four equal segments in a sta 71;l dyxyzd5w*agq.x nding wave driven at a fxz7dd g x*1la5q.y;ywrequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a fr liw 4yyu )-g:z3vt6,m(trrafequency of 12 Hz with a standing transverse wave pattern containing 3 loops.g t alurz)46iwf3yv mtr -:y(, 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 20 N. What g/b crjqu +8ux1,0nvi should its length be if its fundamental resonance frequency is 220 uc +rgi81 /,nxqjv0ub Hz?

  Find the first three harmonic88a w67pw wk ez)q-g3hjy.jz ns of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected 8 j zww86 kpqg.z)7jy-3henawto tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates atyc;y, ogpu 9wi0ab9y6 a frequency o yg 0699;o,ciyubwp yaf 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.