The time for one cyclzgj4c3v qs.dmv7za ::e of a periodic process is called the

  For a periodic process, thm* sksm:r xlt.wpblwfa/ 1,*1e number of cycles per unit time is called the

  For vibrational motion, the maximum displacement frot bl*bm8+ 4tvf4hmmf* m the equilibrium point is calledtbmff4m+* mh8l*v4t b the

  A mass on a spring undergoes SHM. When the mass is at its maximumei:m-c-3 iy9 buyfuu- ug9.wy displacement from equilibrium- 99iuum-c.wuef b-g:yi y y3u, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through thjsc/q p;. :xnzci -d4xe equilibrium position, its instancz:pj-/.; sxc 4iqd nxtaneous velocity

  A mass on a spring undergoes SHM. When the mass xnhzfr9h5pi8 .40q2zg ev )ixis at maximum displacement from equxz0985f q nieg2v)pirz h4h.x ilibrium, its instantaneous acceleration

  A mass is attached to a vertical springil ;m)p/t07nmj -f gkx and bobs up and down between points A and B. Where is7pf xmm)j-gnl/i t0;k the mass located when its kinetic energy is a minimum?

  A mass is attached to a verticuf* rc-wb1pdtvs2 ) 9yal spring and bobs up and down between points A and su9-1cp wvb*y ft) dr2B. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between poiz;9fag, g+fs0m qn 8jvnts A and z8j;g fqsm,fv+ a0g9n B. Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and dogv 4gdk*l9f3 y5j dbbpl 348,fhf v8fgwn between points A and B. Where is the mass located when its potential energy is a4 dk vv3b3*ld p8fybl9f f8gf,g5jgh 4 maximum?

  Doubling only the amplit5j 4 cniu,k,cvude of a vibrating mass-and-spring system produces what effect on the system's mechanical ener5 ucck4nvi,, jgy?

  Doubling only the mass of a vqxi,mzbg)+v /wk j06(wjtuj*e 1qrx ,ibrating mass-and-spring system produces what effect on the system's mechanicavq 6)km*x(0uw iet,jxqj,+w z/b1 jrg l energy?

  Doubling only the spring constant o-gps(x/kc bkzk kt+:+yrf v*z7 a8/ hif a vibrating mass-and-spring system produces what effect on the sy*agz+ pk 8fkkhtb+xc/ v/(kr7 yz:s-istem's mechanical energy?

  A mass oscillates on the end of f2iqa1oqo,muk 0 p -r*a spring, both on Earth and on the Moon. Where ia2*q fu,o0k mp or-i1qs the period the greatest?

  Increasing the spring constant k of a mass-and-spring syst lgyb s( t-d4, kxntrog0j*i29em causes what kind of change in the resonant frequency of the system? (Ass* dt og9r,ti-kjsx2n0l y g4b(ume no change in the system's mass m.)

  Increasing the mass M (0:lku9bks ekof a mass-and-spring system causes what kind of change in the resonant frequency of the sy 9l 0kekb(sk:ustem? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what ki pw9 dbz/w2aku,rg-i8nd of change in the re uwb,-2/pzig9ad 8wkrsonant 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 a mass M attached to a weightless string of len4 r2;ktzrw 0c(6okc vugth L. For this system, wctr kov( ;zwc26ukr 04hen undergoing small oscillations

  When the mass of a simple pe720ucclkvakh3*r vmb09 q w)o ndulum is tripled, the time required for one complete vibratiok2ur*c0a vk o79h)bclqmw v03n

  Both pendulum A and B are 3.0 m long. The period of A is T. P* gkt+7e2glz vendulum A is twice as heavy as pendulum B. What is t2z g+eg7*v ktlhe period of B?

  When the length of a simple pendulum is tripled, the time 2k 8h nz;(acmtcghq6dz ;r2i*for one complete vibration incr*qrh h2caz;6dn 2g8k;c itmz(eases by a factor of

  What happens to a simple pendulum's frequency if both its le;gx9j/l5 ;rc (ynfqfvngth and mass are inc9gycr ffvn x5;j (q;l/reased?

  Simple pendulum A swings back and forth at twice the frequency of simple pendulabi*u+ 7va14 j mkvcnhb4k5d+b+g6qpum B. Which stav4++h u ma qd b jvbngbi4k15p6+7*kcatement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity ire:db1wan y c)7. s5p:gj ee5gs less than on Earth, the resodgpegy)7n1e: w5 j ba:re. s5cnant frequency of the pendulum will

  Curve A in Fig. 11-1 repre4jk4oi)8*kobv0n ) tobgr g s+sents

  Curve B in Fig. 11-1 represevz3pro*ua 39zppkc4 w/s8qr . nts

  Curve C in Fig. 11-1 repressh hrb1i )j -tx5x648* iivbb vwc9qt9ents

  For a forced vibration, the amplitude of vibration is found t+vd r1lg3b4o-v 7i/l h,bbr gxo depend on the

  In a wave, the maximum displacement of points of the wave fromfk*,agik03o x equilibrium is called t 3ogxikkf0 ,a*he wave's

  The distance between successive crests on a wave is called the wav w)d2p qxry+2dub 27xbe's

  The number of crests of a wave passing b c*+ds0eo 9gka point per unit time is called the wave'sdk9c * o+ge0bs

  For a wave, the frequency times the waveleng)vq dpf totm(c ylj9+ 9m +qr8l)7,yrpth is the wave's

  The frequency of a wave increases. What happens to the distance dw +ju::wb,xwbetween successive crests if +ww wxjb,: :udthe speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wavegxqxcouo 51e ts, 5+,d on the same string has wavelength 2l and travels with the same5t xedo5+usx1, oqg, c velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, maox5-; dc80p rrtox1 rbss M, and tension T. A standing wave is set up. Whx-ro8rotrxcdb51 p ; 0ich of the following is true?

  A string of mass m and lt+06pglksmd *6rwdf 4ength 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 mass of the string is increased to 2m, with no ch4ps0* k6 t6rl+mdwf gdange in length?

  A string of mass m and length L is uto9o 8z1te(s3as ,hu h8nvb+onder 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 change ,+onhs sbe98h31t8 o otvu( azin mass?

  A string of mass m and length L is under tension T. The speed of ab:u r+bpg.vg6 wave in the string is v. What will be the spe.r g:ug6bbp+ ved of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through t.byrn8b ,mc;xs .s 1njhe Eabxmcn.ny;s 1bs8r,.j rth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wav3:kq 7a.lmsl+7qcdf2htn .mv e. As a P wave travels through the Earth, the relative motion between the P wave a.3f+ks dlqv.n: htm7 m7aqlc2 nd the particles is

  The intensity of a wavezy yi x-lqb63 :fps(a1rix-2d is

  A wave pulse traveling to the right along a thi/t:wdb p )kk,zva; ;fd5ynj8in cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the t w,j;p5z8di)d;yv /fb:ka knreflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other onk+ig tw*;0r0m8(dsnjzhdp+ czf , gw2 a string, one is traveling toward the right and the other toward the left. At the point that tz(t*ggr zsdp+8w2fknci 0,+ 0h;wdmj hey occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one trave7:jebix )vec( e*gbj(sq;m +wling 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 theycms+w qbv(7;e egjj:(i *b) ex occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both ends, ossw9 ldhfd/az2069 fs;1ym ij9g 9kyuccurs when

  If one doubles the tension in a violin string, the fundamental frequency bflwj: l 17sa5l10tm tof that string will increase by a :t71lsltj wf0 m lb51afactor of

  What is the spring constant of a spring that stretches 2.00 cmbfrnf.uvl tz0nw )yc7+g/l5 7 when a mass of 0.600 kg is sgb0f7tfy v)n7rzlnl c+/ .w5uuspended from it?

  A mass is attached to a spring of sprin -x*xvwxny/ w)g 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)y /x-x wxnwv* is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizon j/twr7rni3m( tal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass a (/rj3rmwt7n ind 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 spring of spring constant 60 N/m along a horizontal,0o2jndbk 9h.o orgk:* 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 ikrgk: oj 9nobd*.o20hs the frequency of oscillation?

  A mass on a spring undergoes SHM. )qx 7 dh81 (ax8w2szjmrea3biIt goes through 10 complete oscillations in 5.0 s. What i 7a( amh1i)srxeqjxdz3w288b s the period?

  A mass vibrates back and forth from the free end of av3 luf; ig:lh;n 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 equilibrium p3guli ;lfh;v: osition?

  A 0.50-kg mass is attached to a sp-aodhxs-j- f/ ring 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 equilibriu/xoa-hs - j-dfm position. What is the total energy of the system?

  A mass undergoes SHM with ampll8y 3c/fp ms)9-ltr* p ,ozostitude 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 p, yotr)-oz lst*89 m scp3lf/of the system now?

  A 0.50-kg mass is attached to a spring of spring cons wltyur -/ekm1 2 9gpd8xo1/gotant 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 o1-1g/w k /o8rdpmyxutl2e 9gis the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m a t;dbpj lr+k).long a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s .lk)jtd+prb ;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 spri sd a t9edqn/.2x cm1b+6ry3ghng constant 50 N/m and set into simple harmonic motion with an amplitude+t dhsrd/6a9 cb xg3y.2qn1m e 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 horizontal spring of spring constant v5nxzwa5eef 4;o re;7 im.b6w50 N/m and set into6xembez; 5 vf w o;7n5er.w4ia simple harmonic motion with an amplitude 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 cq ,eyfh.vn p4-lne x-, lst1ez p/+;xspring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic enere elnh,.p/yns 1fz ,qx+-;4lvpe xt-cgy of this vibrating mass?

  The mass of a mass-anw f.pvx;d )g(xd-spring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be obserd g()x.fwxp;v ved 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 Nwh ;(o8w r/wo7myp-ns/m. The object is d7oryh-s w w(owm; np/8isplaced 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 1+j+ -acsjqci 3l8 o h/;fm3epz0 N/m. The object is displace3;ch+jcez-mfl 8iqjs+ / poa 3d 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 spri c5vkt :,cds,rng constant 18 N/m, displaced slightly from its equilibrium position, and released. Whd rk:t,c 5vs,cat is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency gvrio .r/2 k.zof 1.27 Hz when displac.rk ivrg. /2zoed a 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 5qx (y kcrjz3e)t(6zw -ur8vzsprings. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates wity6zrjr)z( wz-tv x38 ec k(5quh 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 hba lh.9v jig;j42vh o:7bez2mass 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 lhz2.o2:v ah g b ijvj9e7h;4bthe period of oscillation.

  A 0.30-kg mass is suspel jhgtvr2vkd78ef)cofno0 -d0,8e y 0nded on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled avlot d gf y) 7nohf8e0cdr8k0-20,evjn 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 equnan be;36/qu dilibrium 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 down its ;u3e6n/ ndabq equation of motion.

  An object in simple harmonic motion obeys the following pop ze( tti))fkw k*yj,vy)orl2f0e ) m6sition versus time equatiee f,)t)2*yf m)0)tjr (i6zokwkl ypvon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versu9 7us:gv94,hiqg qvcfs time equati,:vsi9q4 7g qf chguv9on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obe2wqsp+95vy/k ksa tq,ys the following position versus time equk w,qyp9 2tvsa/5+qskation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executn k( l3s.ih,nhes simple harmonic motion according to3kn.l,i( hnhs 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 tyfwjabd0da y 0 i;6o6 /xpy4)xo spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is o0a4d xy;axypdbf0 j)yw6i/6released 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 cpv: :+v05n8(yrp2d kelnyd rw3 rv-g8.0 s. (a) What are its frequency and perio2 kldnrer: -ywr0 n5yvvv83+c p:g(dpd on Earth?

  A 3.00-kg pendulum is 28.84 m long. (lorxe51p5 uf What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lewof(fsbn)dhn kb3 : uy( go4 s55-rn/tngth?

  The pendulum of a grandfather clock is 1.0 m long. qxur98lv e.aso y-;x w,xp5g6 What is its period on the Earth? .a srvq9pue l wxy;6-xx8,5go

  The pendulum of a grandfather clock cdfe-8 xv-zclzh d5;,is 1.0 m long. What is its period on the Moo, ;-d5fxcdz-e czh8 vln where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consilepci +zy+pjv3k;1wy (h38og k(.tixph dm)3 sts of a 0.25-kg spherical mass attached to a massless string. When the mass is displaced slightlydkwp 3opp+i3tckmxzh8 )h( 3i;+1ye v.jly( g 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 angular displacement lqi dj /ufz*t(-ld74 vof 8.0e. It oscillates with a per-u*d7/ zqldi4t(lf v jiod 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"p4b )fz+aj (9oaug urlc;, fw 9l)x4ly of a wave at a given time. The frequency of the wave is 120 Hz. What is the amplitude4u+wrpjco)uy9la 9 bgfl ,)x l(azf 4;?

  Figure 11-2 is a "snapshot" of)2ii0 m:e;yd:sw z zdt*rq m,a a wave at a given time. The frequency of the wave is 120 Hz. What is the wa02*zytd s:,m wa iz:;e)irdqm velength?

  Figure 11-2 is a "snapshot" of a wave at a given tim+mr2c qb++tp,rw4jjs e. The frequency of the wave is 120 Hz. What is the wave spe,jcpj rq 4mr+w+b2t+sed?

  What is the frequency of a 1c*vv q*w+gyp3f efrozw .)l3wave which has a period of 6.00 ms?

  What is the period of a wav) y6g)bjcds:cggr lf*to70m7n ,t-0uqafze -e with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength ofumi4crs iza8x.l7 q1) 3.0 4 7uz1iaisxc.q 8)m rlm?

  What is the velocity of a wave that has a wavelength of 33-vm *jv4:ert mnnaf*e0i ly /.0 m and a frequency of 12 Hz?i4arm m*: vft-n3e /j0 *nylve

  What is the frequency of a 2.5 m wave travokl qv,e a: gwt:tvm6s9a0ede14 (0 tseling at 1400 m/s?

  A piano string of linear mass density 0.0050 kghq4v5bb.t,y iopw)a./m is under a tension of 1350 N. W),5 bvptq4.hwi oby. ahat is the wave speed?

  A string of linear density 6.0 g/m is unde(x. kbw xn:m6xz k/j2yr a tension of 180 N. What is the velocity of propagation of transverse waves along thkk(b z:2n w/xxxj6ym. e string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose /yvj 4iic nw9tohv0 ex71 :h+rtotal mas9vvx/4hr + whn7ojiice t01y :s 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 propagatie- a d+9 pa/hjfzseegb),d*; von of a transverse wave on a 2.0-m long string fixed at both b/)dv; hgejes + d*epa9fa- ,zends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of5i5t71 yg3 ke/kovbq e the following frequencies can set the strin e bg qvk7/yokt5e315ig into resonant vibration?

  A stretched string is observelopk+ lc- x 721lv k.swqcfc)2d to have four equal segments in a standing wave driven at a frequ+v kxckf- 1. lq2o2 ccpl)swl7ency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, agam ( i/tr3k0vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wav0maakti(/ r g3e pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 2im:g55hpmfrjx(ha3(n 4s *ha0 N. What should its length be if its fundamental resonance fraprmm4(xi :f( *g53hha hnsj5equency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/o:3 y2t*p1bp trc1a x(jvgij- m and length 0.600 m whj(o x1 2tj3vptgy1 br*-ciap :en it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. 1emr: pjr7e * 7k-g(rg-tmsn w When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is formedt*spr (r-gm gmj-r7w7kee n1 :.
(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.