The time for one cycle of a periodic proceh3* 5 xliuos 7s8x8morss is called the

  For a periodic process, the number of cyc0ije.3xh,cv rpc -; lcqo6.oqles per unit time is called the

  For vibrational motion, the maximum displacemwgl x6ltaiq:m* l1 /k7o 9crf;ent from the equilibrium point is called th*9m 6/flw ctl ;i1xg7:kqol rae

  A mass on a spring undergoes SHM. When the mass is at its maximum dis;l ,7rt tt6qmfplacement from equilibrium, its instantaneous ;t6ml ,tt7rfq velocity

  A mass on a spring undergoes d1+4 2lpkt itfSHM. When the mass passes through the equilibrium position, its instantanttdp lk41 +f2ieous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacemel +w2z88d uodjnt from equilibrium, its instantanel 8w+d28 oujdzous acceleration

  A mass is attached to a vertical spring and bobs up,38ep x )bysvp and down between points A and B. Where is the mass located when its kinetic energyvbsxp8,yp3)e is a minimum?

  A mass is attached to a verticalbx p.a ;j6 lb/l8p*s9mi0t,4jmau jbh spring and bobs up and down between points A and B. Where i9 j6, ;/t0s8p b4lajmxuabp* .j hmilbs the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between po2y6 kqr)koe.k3 u1ochints A and B. Where is the massqu3ye o2krkhk.1oc 6 ) located when its potential energy is a minimum?

  A mass is attached to a vertic z 77hta;:yujqal spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a maximumzu ;aq7 h7yj:t?

  Doubling only the amplitude of a vibrating mass-t*ngz - (w 02)e bbhnvsyg mg-p,wvpv-/,- xpsand-spring system produces what effect on the system's-/,ebv ygsp vzp-*nmsww- x2pt 0b vggn(),-h mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring sy j8c ubgf)l oe0mfz99 fa(j06rstem produces what effect on the lfazr0j8ff960gm)obc e9j(u system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system prou,rx93t aw 9)kwb o hzkcg/z)0duces what effect on the system's mechanical ,z99bhr )woca3 kzt u0kx)g/wenergy?

  A mass oscillates on the end of uq:gcct 6 v;s6 tm0hm4a spring, both on Earth and on the Moon. Where is the period hv6g:;0s4mtccuq6m t the greatest?

  Increasing the spring consta/ fe2 xm, exl 5o(nkk-eh1gtf(q 8*uhdnt k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in tl/n f(k ux8,gmf1qo(*hxeeet2h 5dk- he system's mass m.)

  Increasing the mass M of a mass-k3s,3 xqk: gz 7/dux+iam6wjfand-spring system causes what kind of change in the resonant frequency of the system? (Assume no change6 3w,xmz jdi ksqfuxa:+3gk/7 in the system's spring constant k.)

  Increasing the amplitude of a 5y 5(sxx uor/t2 t skqa(ur/)w0jy 4dpmass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes inxty4y /us()artj ksu xq50or( 25w/dp 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 weightless du z9 (cfa-ntz7w39vp string of length L. For this system, when undergoing smallt vnw(9f cup7-a 39dzz oscillations

  When the mass of a simple pendulum is tripled, the time requi. eday3bt z7djb3;5 izred for one complete vibrati i d.dt3 aezyzb53b7j;on

  Both pendulum A and B are 3.0 m long. The period of A is T. P r mk(juj;4xkh;6ap; jimzi/dj wd-,:endulum A is twice as heavy as pendulum B. What isiu( ,kkmx/ jdw;zh64 j-:rjpda;mj; i the period of B?

  When the length of a simple pendulum is tripled, the time for one complet.ufln+w+.l xx dz.+qce vibratiolzuxf..w+.n + l+cdqx n increases by a factor of

  What happens to a simple pendulum's frequency if both k8ez+hqh8b 5sits length and mass are increasb+ qk85s hz8ehed?

  Simple pendulum A swings back and forth at 6o-n3vm oj4lry/llwrb5f p *ed6 1g o6twice the frequency of simple pendulum B. Which statement is cofy-lor 4e663 /lr*j6ogbn1w dop5ml vrrect?

  If you take a given pendulum to the Moba nz36u nh ikd3+s59yon, where the acceleration of gravity is less than on Earth, the resonant freqnkb+9 36 h5naudzy3is uency of the pendulum will

  Curve A in Fig. 11-1 representsapb 2 wefh(fddhh/u i)8.2w7w

  Curve B in Fig. 11-1 repres5 s8qr60n:a k6fzwc rks,)djas( vf7sents

  Curve C in Fig. 11-1 reprewjt,lr89a m8l2rcw. jsents

  For a forced vibration, the amplitude of ,);n7xa n;f(erl;ig zrbjga- vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equi )qcnrt:5 g jt8mic9+dwhk ;4olibrium is called the wa c9gj 45:h +kt8c;moiwdqt rn)ve's

  The distance between successive crestn.n ,mw tc.z)ds on a wave is called the wave's

  The number of crests of a wave passigbfq7hv /)gpa/5 rp/liz/z gw y.d;5h ng a point per unit time is called the wave's/;.g 5/5pirg zfbd qvpz g/ h)la/7ywh

  For a wave, the frequency times the wavelength is 1,i3 evzrkz- hthe wave's

  The frequency of a wave increases. What happens to the distance between succesiwt,z2ay esioq8) (g5*fhb v7sive crests if the hq7wvi)ezo,f(i y 5sta*8 b2 gspeed remains constant?

  A wave moves on a string with wavelength l and frequency f.2 2 ckn,3ci5wsn8tba u A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the second wavtc82k 5wcsn i2un3b,a e?

  Consider a traveling wave on a string of length L, mass M, and tenqimcgt9u 1;f ;:wb9wdsion T. A standing wave is set up. Which of the followingcdq u9iw:b;w9;fmg t1 is true?

  A string of mass m and length L is under tension T. + d 2ny su+aozb5-/snlThe speed of a wave in the string is v. What will be the speed of a wave in the string if ts-+noz5 l2 +/ynusad bhe 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 wave in the k8, wdv v) q37ew3dhpfr 1im abm2(k;gstring is v. What will be the speed of a wave in the string if the length is increasegrf(,p;de3mvbv w mw3 7dkq2a1)ki 8hd to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a3 pgkg9))z sv-j l,wsd wave in the string is v. What will be the speed of a wave in the string if th s ,gkg9s-djpz 3)lwv)e tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through jpfp5 e vz3o722e4cac the Earth, the relative motion between the S wave and the particles jze 7epa c245cfpo 2v3is

  In seismology, the P wave is a longitudinal wave. As a P wave travels thrt 3/0nioh/)uhm5s sxq :fcs(wough the Earth, the relative motion between the P wave and the p/mstx (fo/ s03hs:n)ihuc5wq articles is

  The intensity of a wau80p:fbpn9au3pw s j(*qmco2ve is

  A wave pulse traveling to the right along a thin cord reacsh phj9pmo .bh116x y8hes a discontinuity where the rope becomes thicker and heavier. x 9pp6hh .ym11b8hs joWhat is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a s(g;qrn 3om8gd uj-oz/ tring, one is traveling toward the right and the otho-/u(zdo;jn gq8gr3 m er toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a strin t(qy3i/gk0fq g. The one 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 fgqqyk0i3( /tthat they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both ends, occurs whq+cwor)0 +dg aen

  If one doubles the tension in a violin stri*nhm *77m bf:gvdzeso2y zr3/ ng, the fundamental frequency of that stsmz:/ evd2o 37mr*fy7nz b*gh ring will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm w fbt:-.d(sxn73x9g nfcov3ypvs x 9z8hen a mass of 0.600 kg is suspended f-f s x8yst3oxxz p df7(nv.bc9v ng:39rom it?

  A mass is attached to a spring of spring constant 60 N/m along oyo-dy-iu kl50(2 n tla horizontal, frictionless surface. The spring i luony- i(oy5-l dk02ts 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 amplitude?

  A mass is attached to a sprin x(gs+mg n55kgg of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a forces55(xg n gk+gm 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 spring8s iue 2ne)qg- of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a fore n 2e)uq-isg8ce 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 oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations in 5 p*vzlr,mv(x: .0 s. What is thz*v(rvm:,px l e period?

  A mass vibrates back and forth from the free end of an idear57rbm( +oo1h1sn6 ugakeuyfq 45+ao l 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 equilibrium posit enqro 4+(a1km6 57ofbryhu sgou 15a+ion?

  A 0.50-kg mass is attachedd6my8nj os wn1h0 ).vc to 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/s at the equilibrium position. What is the tota hs0y18 jwc.ndm)o 6vnl energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. Thj )hp:b3q00wszvc h,xuw b,y8e 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 cmcwb8j3bhqwsh: p0u)y , ,xv0z. 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 horizi2*h 1el ljsbkz*x30s s.lpb,ontal, frictionless surface. The object oscillates in simp1lkl .jsspei* l b x2z*0,sbh3le harmonic motion 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 attaaim)t-5 qpj:kched to 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/s at the equilibrium position. At what location are the kinetic enertq:- pmjai)k 5gy and the potential energy the same?

  A 2.0-kg mass is attached t n rcp;et :*1lwo 6tv1g8ozz4uo the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What istco zge41zu6 rlw1n*vp 8t :;o the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a hohfo -t.c*h oq/zw(-sv rizontal spring of spring constant 50 N/m and set into simple harmonic motion withh/-f qo*stw-c .v zh(o an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the frx5c*w7ghjl k4ee end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy ohxlck* 7jgw4 5f this vibrating mass?

  The mass of a mass-and-spring syste,ghfew82 m t2am is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had m hw2 fa8g2et,been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/(cni5x .oh/- ppk*hg lm. The object is dispcg5o*i-.nk/h p( hpxllaced 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 1ry2d 0mo762z bioi+ ss0 N/m. The object iyibi omo7 +260 rszsd2s displaced 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, displaced h3.z2xid :a wsa3f2sd slightly from its equilibrium position, and released. What is the frequency of its2hfz.ia2d x3: sa3ws d vibration?

  A mass is attached to a spring. It oscillates at a frequency o5:zghbadx mxj js2dpe): g4/1f 1.27 Hz when displaced a distance :pjmh e 2) gx/zas5j4:g1b ddxof 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. Mass Ay vrsc5i 79sk/ vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass/ c y79ssvi5rk 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 equilibrium the mass stretches t6wa)j m +ly in3rpo/,fhe spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 c wmra+fp 63,jo/l ni)ym down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a f*cdrh 43pu((a mc.yu9zxf5b1did1c spring. In equilibrium the mass stretches the spring 2.0 cm downward. The 1*rxcp1f5bdu(hyc9iz fcm .d a (3d4umass 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 susax,m dlew 0:o-8wcu. ypended 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 r-ex0m ,.aycw8lw duo:est. Write down its equation of motion.

  An object in simple harmonic motion obeys the followin 6piu 0z)g9(o)pq9q9x ix sveag position versus time equation:uxg i))p9sq0(apeqix z96vo 9
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followvsfkl cpd4 -,2ing position versus time equ, s- p2clvfdk4ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple h 9 dua04q 7xn w8rga/ugi0cxo4armonic motion obeys the following position versus time equ uanwg7 g/9car4xxiq0d8u4 o0ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end kvwuxk 9.ah-9soa/fng ljm5ri6 1) s)of a spring executes simple harmonic motion according to the e k9imsxrhk/-)6jv afs) o. lw9agn5 1uquation $y = 0.50 \; \sin (18\pi \times t)$ 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*se*npa(8 ( j sfkkujmr d0f1.9+k9) m zmcpsw a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretchmup mk n()mz 9a*e*0jks f1(k+8s9cdf pwr.sjed 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) What are7ldwc+orkddbo71c + 9 its frequency and pe k71c9oc wddold+7+br riod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on k ( zscm(2,oj(8ree wknf* 9juEarth?

  A pendulum has a period okoj3eth9qu/hv61 xrkw:-+ddc )l pg9 f 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Ekntvx dd( us u3:gehzy44 3(2eta m/y2arth?(eyd3(2 mthkzgedvt4a :y34u 2n sx/u

  The pendulum of a grandfather clock is 1.0 m long. What is its vp(ebly/; vv( period on the Moon where the acceleration ;yvv(pel/ b(vdue to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherica 6s 2x*etyh1fzo ff(u; ju7duo;z 7w.jl mass attached to a massless string. When the mass is displaced slightly from its equilibrium positiohwxzfu1j7z;y u*2ff. tude o (6sj;7o n 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 d ml c5ksi0h2z,3ku;mwisplacement of 8.0e. It oscillatkwk3;s52, 0lmhz umices 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 frequenc/cy 1a kszvfc;63vt-k0e u5efy of the waves6 5 /1 ;vzuf -ey3c0ktafekvc is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snabix v)k)hov wh::kfg j(f8n8 dc/ u/d5pshot" of a wave at a given time. The frequency of the wave is 120 cg5b8 n)d: vh xk wjd kh/u:)v8/of(fiHz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenct/.3pv ogrs.u h f+y0sy of the wave is 120 Hz. What is the w.rh tu3+. y s/vgofs0pave speed?

  What is the frequency of a wave which has a p9kq9 r .ctybw5eriod of 6.00 ms?

  What is the period of a wave with a frequency of 1500 r))/,,nrr jbznb 1u p f7trqo5jb (w-bHz?

  What is the wave speed if a wave has a frequency of 12 Hz and a*h a8qaq blr3i08p: 2xtrw(lk wavelength of 3.0 m a8lqhl *3w i(8xkrpbrqt:2a0?

  What is the velocity of 0wz 0 jk8ag m4aaru89ta wave that has a wavelength of 3.0 m and a frequency of 12 Hzargzj8a948w0mku0 a t?

  What is the frequency of a 2.5 m wave traveling ats :4qfxy1dvu nnu86o 4 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is undehr)n a;v-zxtgcbz u1.g,w 78qr a tension of 1350 N. What 8x-g1 hcz7vu, ;gqabr .z nt)wis the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is theiyq-* w6qlx64 qrg co/ velocity of propagation of transverse wa4 xr-c6*giyo qqq/6 wlves along the string?

A wave whose waveleng*n 1x hmy)pxxqu ,d.5eth is 0.500 m is traveling down a 500 m long wire whose total mass is peuxy)x,x 1nmq*5h. d
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 transveg ygqh4.*n,v44el m: wry z/oerse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant,zwg .qo4yg vn*h:r/y4 ee4ml frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the z+y0jbf*1dw0 jkm -r jmb 3xk5following frequencies can set thd1yj-m 5rmjz jwbf3*k0kb +x 0e string into resonant vibration?

  A stretched string is observed to have four equa bwi .f(8ywz8,9glgd sl segments in a standing wave drivb.i ,fs89wg z( wglyd8en at a frequency 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 frequency of 12 Hz with a6vfg ma8((fs s8 )bufj standing transverse wave pattern containing 3 loops. What frequevsjms8) gb6fauf( f (8ncy 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. f(0 zdnf55:v mkj)ojhWhat should its length be if its fundamental resonance frequff5d0knm):v j (j zh5oency is 220 Hz?

  Find the first three harmonics of a string of line0zz la1hc* 9hjar mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0 jh0cz *azlh1 9N.

A string of length 2.5 m is fd3y1a i*;dhya ixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is formed.i;3 y *y1ahdda
(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.