The time for one cycle of a periodic process is callexou pd+x48f1w0 f9mhu-d pq k5d the

  For a periodic process, the number of cycles per unit time i wv)y)l14fytp s called the

  For vibrational motion, the maximum displacement fj0 dl vi7cx0l.+rwp j1rom the equilibrium point is called txlwrcl p+d 0ij0j 7.v1he

  A mass on a spring undergoes SHM. When the mass is at its maximp nrwqr64e;gebm;m 0n q7x 29be(uvs-um displacement pm; nsb4nve7qu92 -xe0wr m(erg;6bqfrom equilibrium, its instantaneous velocity

  A mass on a spring undh lg/ in5w)x;zergoes SHM. When the mass passes through the equilibrium position5)l ;/hgxzinw , its instantaneous velocity

  A mass on a spring undergoes4gdbd) 7z*fnd, nxj,g SHM. When the mass is at maximum displacement from equilibrium, its instantanebx*)n dn,d jf,d4z7ggous acceleration

  A mass is attached to a vertical spring and bobs up ando t9 emm/lwo6 akffl5v)6l*p5 down between points A and B. Where is the t5)o9flwl/5 ple om*6fvkm6amass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A2rnrg:,d67p r ,sxylqyt0m( y5e c. tb and B. Where is the mass located when its kinetic ,egpyscrr ,myt xq:d 7.lyb 0 6t25nr(energy is a maximum?

  A mass is attached to a vertical spring -u.jfcc81g( tzew3znra6,e o 2vmy7s and bobs up and down between points A and B. Where is the mass located when its potential energysf( vuo, 8e62 t 7a.3cwzmgrejy-c 1nz is a minimum?

  A mass is attached to a gs.,kscoe9u8a :o9ekvertical spring and bobs up and down between points A and B. Where is the mass located when its potential enekosea:8uk o 9,g.c9s ergy is a maximum?

  Doubling only the amplituhy/v*nc p-i f94 m7ar77xjvzm c:r /fyde of a vibrating mass-and-spring system produces what effect on yv/ *fj cvf 9-m/ :cihm7a4nyxprrz77the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system producz.ns,: fvpm)wa3y) i ,qscq f/es what effect on the system's mechanical enep fic,)y. nw :3/sfq,mv)qzsa rgy?

  Doubling only the spring constant of a vibrating mass-and-spring system a k;p8kakd-p:ixchg/(-fc +b ,t1ggyproduces what effect on the system's mechanicaktd-,-p ck ygf; g:h1a/ c g(abp8+xikl energy?

  A mass oscillates on the end of a spring, both on Earth and on the M,h g *z2hr/qzfoon. Where is the period the greatesth, zf/zq2*gr h?

  Increasing the spring constant k of a mass-and-spring system causes wha+ g35 go5*7fgpwpb(lg/dtb -vgd3 cjh t kind of change in the resonant frequency of the system? (Assume no cha fg3+pch5 b 7/gpwdj*gogtd v3g(l b-5nge in the system's mass m.)

  Increasing the mass M of a mass-and-sprinx4jx dq+zb5pqd6i4*edq1v;4- qom rqg system causes what kind of change in 6*qjrvbipxdz+ d5q4edq;q xm4q4-o 1the resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes whatjuth2lpl vqb 5e2a9 fo;794(kyz 3oli kind of change in the resonant frequency of the system? (Assume no btopo25 z4h 97fi;ulevjy k2 lal(93qother 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 weighlqf0.t-/ w qa*4ubs xutless string of length L. Fxw*4tb.f0u/su laqq - or this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one cl n)kfpy,t byk1/jc4 ,u+ 1ya )zekp,pomplete c/ ,t)4y,yy,l+nfekppk u za1b)pj1kvibration

  Both pendulum A and B are 3.0 m long. The8x ,fe. 1icmqgue*1 xn period of A is T. Pendulum A is twice as heavy as pendulum B. What is t*cn8g ux.meix f1q 1e,he period of B?

  When the length of a simple pendulum is triplepp +t3iv, aqh tcq8 zw0:q0.xcd, the time for one complete vibration increasesq+t0pq3.c8pc 0 t:wzv,ahxq i by a factor of

  What happens to a simple pendulum's frequency if both its length and mass are i 24 qmb2jz /6kr .srkx u:psnscb)3jv9ncreased3)2j4vkss9 .6r2b z:kpj nr xq/ubcs m?

  Simple pendulum A swings z(h / 1ev31q)yku smnmback and forth at twice the frequency of simple pendulum B.) (1s 1hmuvqke3ynmz/ Which statement is correct?

  If you take a given pendulum to the Moon, where the accer)n0 *upd/s kpleration of gravity is les*/ k0rn)upsd ps than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represenq pjs*s 5e0v8eqcl 5;l9ew*/*1b i g fchf.yqlts

  Curve B in Fig. 11-1 represek + i couunkl9a;y)l87nts

  Curve C in Fig. 11-1 repb/jivw7 (f 1qt*mj4jzh 9+ilhresents

  For a forced vibration, the amplitude of vibration is found to dependv8pme/ix5 v2 :le xk/she)dp9 on the

  In a wave, the maximum displacemezja7foom32p e5+( utb x/lfvhbzc 62z2uo *3gnt of points of the wave from equilibrium is cagfop (*u2hlb36me7xz+boajz3 u z /of522 cvtlled the wave's

  The distance between successive crests on a wave is called the wl tr0v i 65khzmqix*dx); ;ha+ave's

  The number of crests of a wave passing a pyvkky76djl.gvs y+4p q 4h+ +joint per unit time is called the wave'syqlk k.s+4 ydg+4jpvy 7v6 jh+

  For a wave, the frequency timlc wht95 t ,fj 0azuq8x4+o(djium5v4es the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance betwee7x3r9udn4u x eom8-ien successive cxoe e97i8d4 ru3ux n-mrests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave w gauco.8ei62q w,wf8 on the same string has wavelength 2l and travels with the same veli6g wae.cw2quwo8 ,f8ocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of lec zi*1( f ;ao+aow4gcwngth L, mass M, and tension T. A standing wave is set up. Which ofw;z+4oow cagi* 1fc( a the following is true?

  A string of mass m and length L is under tension T. The spee51;y msotllb 7*g g8ekd of a wave in the string is v. What will kes y8 *gm7tglolb51; 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 length4/ v + f*wiboiyrr-7l(xo2mm g L is under 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 2L, with no chan2 x(ri -*if4mob+7/rwo v myglge in mass?

  A string of mass m and length L is under tensionhx5w1jbv vi(q 09 v6otjg1 (cu T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the tension is increase0jvht(5 (vwcb16vg1u9x qjo i d to 2T?

  In seismology, the S w bf1 , fs(*6p4bitp ot-ask,meave is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave an6fa,,*b1ipf mp 4ssetbt( k- od the particles is

  In seismology, the P wavm+ e. ,co3ibb*csd2j5s))b daxp ;iqqe is a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave +)i)sm eo,d s*q35b ibx2pcd ;ca.jq band the particles is

  The intensity of a wave 3n9sba n;mr6 u- 69(ev vsxa8 jac5hwlis

  A wave pulse traveling to the right along awg/ota7qj s03 thin cord reaches a discontinuity where the rope becomes thicker and heavier /ts7oj30waq g. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other oxg cocq)k*x se *3:j3f--dml wn a string, one is traveling toward the right and the other toward the l3-3-m csfwlxk jd x:c)q o**geeft. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling toward the righttkd9 zjfgg.x ,kr/,b d0oyg 1( has a positive ampli. oytfkj dgd 09k(1, xrb/zgg,tude, 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 string fixed at both3 i.9ju;sw zd8j+r:(vxzfx it ends, occurs when

  If one doubles the tension in a violin string, thehi)q 0un/*/j0 knvxex r mtn;3r2o4ks fundamental frequency of that st n v0k2h /x ;/oi*mxtn 0es)ukrn34qjrring will increase by a factor of

  What is the spring constant of a hjy4hr5 x a3+fspring that stretches 2.00 cm when a mass of 0.600 kg is x +5f4ha3jyhrsuspended from it?

  A mass is attached to a spring of spring cong2 tv8 p;g g5 ztc.t*)*uo9kusaw ;fypstant 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 whenwp5kpgocat8 *2 zyuvst;9) g ;u*gtf. it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a g/4)mqg0dok1i0v dav 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 i0 g0mdo1/vq k4va gd)to its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of smyuig)y/wwr 8)mzy 3n1+aq t+ pring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force ortm +w)1y+ 8uqwzy i)m gn3y/af 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 cz loa;5qd l5.pomplete oscillations in 5.0 szo 5.pd5a;ql l. What is the period?

  A mass vibrates back and forth from theptx /)mgc9uv 8/j mvp: free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 u: gvcmv/pxt9j)pm8/ m. What is the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attachejnh6: 6-vr n(e.u /jcibl;x;gkf. aptd to a spring of spring constant 20 N/m along a horizontal, frictionless sa. b;je6xnju; i6n/(-kg: .hvrp tfclurface. 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 amplij w)*c9wnmq r)tude of 4 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 energy of the systwqj m9w)r c)*nem now?

  A 0.50-kg mass is attached to a spr9 6,)qpxjsh cping of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillatesp, p )x96hsqjc in simple 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 attached to a spring of spring constant 20 Ne4brq:u.)(s mmvb l l//m along a horizontal, frictionless surface. The object oscillates .4e/b:ub)rsm( lmqlvin 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 of a horizontal spring of spring consa e.qx md,9 pqj9tcg;f-36 bnstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy osxqpeg cm-9d69j,3fat;n q.b f this system?

  A 2.0-kg mass is attached to the end of a horizontal spring 6n43,*gs6 eivdce e7 0aiao9nzwphi 0of spring constant 50 N/m and set into simple ha0ezs0 gadweii7e*,c o p4in 6a3hn v69rmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and for4x.ffu fs8rf/th from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum4. f/fu8rf fsx kinetic energy of this vibrating mass?

  The mass of a mass-and-springzs) apwhx7t9 x/y6j -2msnd5t system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is obsey5tm-ajt/p wnx z92 6xsh d)s7rved. 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. The objectd /c h/ ori+) dl z9)1rr6wm1uac+ohrp is di)ahor9r cr )iur mzw h1op/dc1d/6 +l+splaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is atqtewk).9hw *p tached to a spring of spring constant 10 N/m. The object is displaced whe).9p*twqk by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung fr((hmjt7mu7at om a spring of spring constant 18 N/m, displaced slightlyamtm 7t7ujh( ( from its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a sprid pivk29(y, ,y jym5dxng. It oscillates at a frequency of 1.27 Hz when displaced a2jm,yik y v,y9xdp(5d distance 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. Mass h;z (h/joo0 n 2thbci7A 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 maximumi 0nohb2octj(7/ zhh ; speed of B?

  A 0.30-kg mass is sub 8n(. ml,gw5 dbg3endspended on a spring. In equilibrium the mass stretches the spring 2.0 cm dob8(5b gwgd.men3dl n, wnward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a sprin.6:qcp nop0sig. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then :o0nsqpi6 p. cpulled 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 a spring. In 42 vu 1im0 dyl.6b l+qimg2tjvequilibrium 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. Write dvgll.q jv+b2tm0 di i21 m6uy4own its equation of motion.

  An object in simple harmonic motion obeys the following po7z slv 60(cg )/ejixarsition versus time equagxv il( 67jac/z) 0sertion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position c*,. l(xil(g h90 4rdymcwdd rversus time equah4dwr((y cdg*ll0.mxcd9, irtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus ti )l xxceg2 g77:dtuqm*jl 2d8gtl4 k5rme equatio:t2dg *)c48527xmtdlrjlge7xulg q kn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the .jh7w-71 3ql s wakyjbfree end of a spring executes simple harmonic motion according to.bq-s1l3khyaw7 7wjj 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 Nzoe 60+lnhrrlw.g20 k /m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm.rng2 l6r0 le0kw.h +zo (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) What are i 4m/oijl z3)otn e6 *duy10fbqts frequency and pe/eytol)n4ozfbi61j 3 *u0 q mdriod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its hk(8 m1k( ; nldk; vq0dqry.bi/ish 8kperiod on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its bs j- s,v*l:lvzvh)g7length?

  The pendulum of a grandfather clock is 1.0 m long. What is 3ul(jt; oznb* edbdv2 6sp r 2lrn);w*its period on the Earth? dbozpe *vdujn)w2r3*s;n2 lb6tr(;l

  The pendulum of a grandfather clock is 1.0 m long. What is itsea/ b;iubg t),t3 ht1f period on the Moogfi t)a3bue;htt/b ,1n where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists oy h4wc .btqop//blfj, 4 sw0u;wrq++p f 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 swingsw.p4,/p+c qfbhr +tjb/lw;us 0yoq4w 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 consn*oap ;cmju1 +kt q fc,i1*ll.isting of a 20-g mass has initial angular displacement of 8.1*pl; kc o1,cjtal*nqm.+ ifu0e. It 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. Theud (mk*ym)6+m je1f,a (8qej:ysx ftf frequency of the wave is 120 Hz. What is the amplitude? tje my(yuf s,)f j+8mqf:*edm a 1(6kx

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wa04j j)y e)pbmmve is 120 Hz.ypmme)4)jj b0 What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a giv)ffw7 gxrt w)0ht:mx /yzs,:su.gtz,z 8s:g pen time. The frequency of the wave is 120 Hz. What is the ssxsp:t) h0 t78:ug zxwm: g,/fwgyft)zrz,. wave speed?

  What is the frequency of a w9j*0fgws tqs/x7(p; .wxph jkave which has a period of 6.00 ms?

  What is the period of a wave with a frek5f .iwlbbhqx8p;ta mr;-+ :bquency of 1500 Hz?

  What is the wave speed if a wave has a f8z:ykdpu+pf9jbugf m9w6 b+ : fid9 3orequency of 12 Hz and a wavelength of 3.0 8odd:fpgbuf z:k9 6f9 +wp+bj39 uyimm?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequency ofj(tez: jqx6yz:l3ou u-b ajyk4a5w4 0 12 Hz?wj5b(3utj: 4le j k 6u:xqyo4za -azy0

  What is the frequency of a 2.5 m wave nu.g:r8;tf y 6tcu a8gs;v:cr traveling at 1400 m/s?

  A piano string of linear mass density 0.00h,;o9f8 2aymsl,4dmusf uf e(50 kg/m is under a tension of 1350 N. Wha,; ,osyes42 8f(udf lummh9aft is the wave speed?

  A string of linear density 6.i) bhuv4u +ef ((xe.dq0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse wavevx)(h.i+b fduq4 ( eeus along the string?

A wave whose wavelength is 0.500 m is travelingp*h8 b rp4u*vs down a 500 m long wire whose total h4r bupsv8p** 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 transverse wave on a 2.0-ma)nwy+;wx-/pxdi b.y5 c xu 1a long string fixed at both ends is 200 m/s. Which one of the f x-wy;id /uyn+aa5 xxb w1).pcollowing is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which onw/ipq qaeowun *7 :*th;-: ikce of the follo/ ik a*ih:- oc;qnt:*wupqe7w wing frequencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a-d56ml6 owzs q standing wave driven at a frequency of 480 Hz. Whslw5z m6o-qd 6at 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 a 4k nan.n;bq7 rstanding transverse wave patternq.nrbn ka7n4; containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear densitx3j;z cdfwvx7 x86 :t*f c3ahcy 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency is 220 d8f:*ac6cw3 x c xhv;j73ft zxHz?

  Find the first three harmonics of a string of lnnu8w jbdnxn0:fo,0 edx r;,-inear mass density 2.00 g/m and length 0.600 m when it is subjected to tensejwd-0x;r, n0 bnunn,dx8o:fion of 50.0 N.

A string of length 2.5 m is fi .h-h f5pksmm,hzc z8*xed at both ends. When the string vibrates at a frequency of 8- ph z5cf.zmhmh,ks *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.