The time for one cycle of a periodic process is c 5p,v,kdtjqj+ 7 ria97wq yt06 +onkgyalled the

  For a periodic process, / g gfd7izby4/the number of cycles per unit time is called the

  For vibrational motion, the maximum displace;a6b2ea wr.s,xiwpp 3ment from the equilibrium point is called thr6asbwipex2w 3, p.; ae

  A mass on a spring undergh9 /-polmy.7.ny jue-s, aw v*ai*bvaoes SHM. When the mass is at its maximum displacement from equilibrium, y/.7ahwm baov s*auv9*p -en,ji- y.lits instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equinx0xi(y3s.ol librium position, its il 0siy(.nox3 xnstantaneous velocity

  A mass on a spring undergoes SHM. When the maxw)g g-*u21nq e)ae tkss is at maximum displacement from equilibrium, its instantanet-*wk eun qe)a2g1 )gxous acceleration

  A mass is attached to a vertical spring and bobs upz2bd uuxm0o0*+hu (cs and down between points A and B. Where is the mass located when its kineticuz s 2*(cu0uxhmb+ do0 energy is a minimum?

  A mass is attached to a vertical spring and bobs up ahzu/isz4.xv 8 0ux:ydnd down between points A and B. Where is the mass lovx/8 40x .uiu: zsdzhycated when its kinetic energy is a maximum?

  A mass is attached to a vert19mw)hm d1ynkical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is1hkmd9 )ywmn1 a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A ,io5p 81tu troand B. u,o8t top15ir Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring sysv xi9:j83v(b z9snuh*ajx 8d ctem produces what effect on the sy99db xvx3(jvj8uhzs8ncai :* stem's mechanical energy?

  Doubling only the mass of a vibratid)gz pn j86 ,fkp+;lbhng mass-and-spring system produces what effect on the6l jkfp, hz b8+dn);gp system's mechanical energy?

  Doubling only the spring constant of a vibratt* 6h3 t+ekgv ea6s.auing mass-and-spring system produces ea6usat 36 +e*.ktvh gwhat effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth al3 /prdbjdb:sv66c,end on the Moon. Where is the periodsvr6,p:b3j6b cdle/ d the greatest?

  Increasing the spring k tlguivke96(7g,aa(hs 1u.c constant k of a mass-and-spring system causes what kind of change in the resonant frequency of th(uve a ,h(klkcg9gsatu.1i 6 7e system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring systi3)ovui( ekq/ em causes what kind of change in the resonant frequency of the system? (Assume no change in the system'(/eqi3 o) uikvs spring constant k.)

  Increasing the amplitude of a mass-and-splij t-rf530x nring system causes what kind of change in the resonant frequency of the system? (Assume no other cha xj0if3l5-n rtnges 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 cnt7v.v 1q2eyi3c h0*o sxcw*mass M attached to a weightless string of length L. For this system, wh.vo 7cye0 t3 x1*q*2csi vcnwhen undergoing small oscillations

  When the mass of a simple pendulum is vdq :bbu/a258idlbl,i 3ru u9 tripled, the time required for one complete vibrb,a ub idu qdi5vb r89l2u/3:lation

  Both pendulum A and B are 3.0 m long. The ygsxz8 f)98 arperiod of A is T. Pendulum A is twice as hearga xf8s)z98 yvy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vibrfp- .7ddswr1g f7rtl6 ation increases by a fa-r7t.lf6sf r7ddp g 1wctor of

  What happens to a simple pendulum's frequency if botg(3l4ho djo*ulw.vo ciz;+ 8th its length and mass are in jclv .huo lod; 3+4(ziowtg*8creased?

  Simple pendulum A swings back and forth at twice the frequency of simple peoh/-yifxz)gk-.k f+ q ndulum B. Which fko q- f-y. k+/)gzxihstatement is correct?

  If you take a given pendulum to the Moon, whera1 v4 vatcx5a-e the acceleration of gravity is less than on Earth, the resxvaa5tc41a v- onant frequency of the pendulum will

  Curve A in Fig. 11-1 b8lj01apmw 6;w/uz unb,x6hw represents

  Curve B in Fig. 11-1 rs 1v7 uf+bw-4y g,spypepresents

  Curve C in Fig. 11-1 ret uynh-u)nb v+9 7g6oypresents

  For a forced vibration, the amplitude of vibration is found juids 7 mb4oi84-)jndto depend on the

  In a wave, the maximum displacement of points ofuiojqs6tx r 7p23 rmbs +;z1g. the wave from equilibrium is called the waus1r 7+2osg ;36b .tprjx zqimve's

  The distance between succxt i+r6; su:lzessive crests on a wave is called the wave's

  The number of crests of a wave passing a pot*n 3.; h8sx)jmtg mw k*gtc9pint per unit time is called the wave'sxtcttm;w m hkgp* 9gj.n)8s3*

  For a wave, the frequeno5c+3zuzdy3f )w x2 gwcy times the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance betwe ;iqq0:-ggkavb.z2n2t4 xtfe en successive crests if the speed remains constant?qfg0t2; txbn avzqei4g. 2-k:

  A wave moves on a stringn k9ih1gt; anb g5r3.h with wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. Whaar b;.5gnihh g1nt93kt is the frequency of the second wave?

  Consider a traveling wave on k)-x -+fu,g whz; rcu 2/jdwfha string of length L, mass M, and tension T. A standing wave is set up. Which of the followz+f-)hjgu k2xrudwf ;-,/wc hing is true?

  A string of mass m and length L is und w*sxy.t1d-vd8h,w8kgqapr. er tension T. The speed of a wave in the string is v. What will be the speed .,p8*wg.1td -8 qdawykv s xhrof 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 under tension T. The speed of ,6 v0:omcl m*ia jq -0;lcb )jr.jwuoia wave in the string is v. What will be the speed of a wave in the string if the length is increi *bmwmo;,)c0ujr l:. a jc-6qlvj oi0ased to 2L, with no change in mass?

  A string of mass m and length L is u8-n,hp;d ftaz-(qo--cy nquqs )i* phnder tension T. The speed of a wave in the string -,phc s 8 uqaqy;oh-)t-iz*n( -fpdqnis v. What will be the speed 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 travels4urhmzgdlex *cb )d3,vu182 e through the Earth, the relative motion between the S wave and the part*8e1gd3brl)uch2 ,4d z meuxvicles is

  In seismology, the P wave is a longith9(l*aq iq- 44vkbzeto/y91 vmoz; lludinal wave. As a P wave travels through the Earth, the relative motion between the P wavelth4 qazb l*v yiz9me4l-/v;o(o 1qk9 and the particles is

  The intensity of a wave 0 +wr8odt4.ntsbhh;mis

  A wave pulse traveling to the right a5v) tq pwj doy(j;/z;3cikp z:long a thin cord reaches a discontinuity where the rope becomesvkpjiz yc/:j;pw ( 5;z otd)3q thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive4 4k1anrv- 6yxc y5w: :wof hnpgg(r5e amplitudes pass each other on a string, one is traveling tafog5 (-cwxw:1pnyh 4g 6ek4yrrn5v:oward the right and the other 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 string. The one traveling towa+heq q0,pnmk 3rd the right has a positive amplitude, while the one traveling toward the left has an equal amk,q hmpe0n+3q plitude 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 strmg8kk iby58 3iing fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamfut e1 mqvhiryh0.u()7 c (+jsental frequency of that string will increase by a facttsr1jmuvieyuq(c 7+h )(.h 0f or of

  What is the spring constant of a spring that stret, nd2hwj o;p/k c me1g1*kro3pches 2.00 cm when a mass of 0.600keo* 2 m11;g3r,pow pchn/j dk kg is suspended from it?

  A mass is attached to a spring of spring constan0;haro 2fmn s)t 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 osc na 2hrfmos;0)illating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fri4 .il *8rgj62i5vwk*jtip p: qsodt 0zctionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It8p.:d5*j6 r4pklt igz ijt20*io vs wq 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 of8 qi.zeevd1qu: t h.34upx -s ,b4kvan spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of nt.4xu qhzv, bsv1ei qu:k84.p- d3ae5.0 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 pg(ih, xsc1 /ayfjz70q(g,yu ai z6uu)-kg -ein 5.0 s. What is the periu6( u z1ig7kya(sgcjze) px -f0,yh,ug/qi a- od?

  A mass vibrates back and forth from the fi5 u uz +5s)ge:eofa8gree end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. Wu)of5:ge sz iugae58+ hat is the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spr+qhbc2yp 3iho- lm c /: o4dl9tsx*h96boddn1ing of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple h x*s d2ioy99/o3l6hh 4d1bnccmdto:h+lqpb - armonic 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 8.0 J al62) kuo;avv*mg*m lit 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 themv)lo*amlki 2u ; *gv6 system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a h6hoas(,sn3 g thz6mt/orizontal, frictionless surface. 6t,zgna/t(oh3h sm6s 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 vibration?

  A 0.50-kg mass is attached to a spring of spring constanajx d-1o 9m, lnfs--qojy -8gnt 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 whatxj9q,oa m-f og -18j-ly nds-n location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal z3(7 d oa,vrn0s7z)mak0zjdpspring of spring constant 50 N/m mzksz 73ra,0d0on vdjazp) 7(and set into simple harmonic 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 horizontal sp *2yh9xy1o48stkb8 crcvvk w-2u imv5ring of spring constant 50 N/m and set into simple harmonic motionvi8r9t c 2o-c1xukby wh8kv m s5v4y*2 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 9.mv,rs1 sc1pmmszv +spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energysv+ r .sm,1vzmp9msc1 of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its d6/(lcz,m taj equilibrium position and released. A frequel6ct/(mzj, adncy of 4.0 Hz is observed. 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 sufvu;67fc.i s: sdkm4 pring constant 10 N/m. The object is d4uis ;sc6dfkfv. :7umisplaced 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. q+(chbs -,c:ofui hnb . cs;o0The object is displ-o;nh:(s h+f0ccbbcqo .s,uiaced 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 sprin1q0jd :lm*r .n/j dtqsk :,dhug of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is thedsj,d 0th*und r:kjm :.l q/1q frequency of its vibration?

  A mass is attached to a spring. It oscillag s6 gn ib,;usy7+2wqetes at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is e7,ngyiw g2+q6;us bsthe maximum velocity attained by the mass?

  Two masses, A and B, are atta5es 3qikd)/w*ejs(4q mlbck3ched 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 maximum speed of A compare to the maximum speed of B33e4mk*5 l scbwqekq)s dij/ (?

  A 0.30-kg mass is suspended on a spring. In equilibrrymt4 wen y 7we)s6e)8ium the mass stretches the spring 2.0 cm downward. The mass is tywee) 4m 6ne7sr8wy )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 susp exr c9a,m89tamo: wf)ended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The f r)mm89t:x9a c,oe wamass 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 a spring. In equilibrium the mass stretches cr6 bf+oll)(sthe spring 2.0 cm dowo fs()ll 6cbr+nward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the fniml- h 2+w+phollowing position versus time equln+-iwp 2+hhmation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple ha2kex6+ctplj(;9 od i vrmonic motion obeys the following position versus time equation:kv 9;xj2el p icdo+t6(
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the followingvw0 dnfm/gi:q+: .pgoxy6 lf*zor ,j3 position versus time equ o,:o.nmgfvfzpj/* gr lx03yqd: 6wi+ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motq+2 zl;t6:mouric fh ;ion accordingt2hlz;c+f;iu :o m6qr 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 attachedjuv1td sy *f9uey4s *( to spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretchede*ys4t( duf*uv yj9s1 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:vct6z.fdu3 9uiz 5ff. (a) What are its frequency and period on Ear9 ui3.fz:ffucv56d tzth?

  A 3.00-kg pendulum is 28.84 m lolk75 nr f4+jspng. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its length?a,/cl s3v6 ;jmvxpt3 i

  The pendulum of a grandfather clock r,1y wz)tu(:u/p9t7lq nfbrf is 1.0 m long. What is its period on the Ea7rq() f fwnptb1z9t :/y,ulur rth?

  The pendulum of a grandfather clock is 1.0 m long. Whwda5zwv6cs y -(/0bbr at is its period on the Moon where the s rd (v/6bbcw 5wa-0yzacceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a madlj/xg :v +5mrzgk zf n((v)-cssless string. When the mass is displ)z(+j xm-5 kn fcdzg( v/r:vglaced 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 diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g rmn7.dbqi b vt(p )/k,mass has initial angular displacement of 8.0e. It oscillates with a period of 3.0.n7drb(tqv ,bi/ p) km0 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. Thd bn1ltz2 ovt,xpj,87e frequency of the wave is 120 Hz. What is the amp1n72d8,b ljv tpoz,xtlitude?

  Figure 11-2 is a "snapshota)77(rnggwq7h)ggmixcs/hk xu2; 2t" of a wave at a given time. The frequency of the wave is 120 Hz. What isg2q xhk)ic7(ug/2rw gtgm7s;nh 7 x)a the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wavbwje9ltwa1j, m 5y*y5 e is 120 Hz. What is the wavej 5 lw1ym*a ,yjb59tew speed?

  What is the frequency of a wave which has a period *f pvjftfu)2e 2pn(8h of 6.00 ms?

  What is the period of a wave with a fsmw o; qk8ief/s1 -j.bas,s+s requency of 1500 Hz?

  What is the wave speed if a wave has a frequency likf t vwt;*3m02/shq of 12 Hz and a wavelength of 3.0 mkm*l0v/s;ih3 tt2qfw ?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequency o: (+i wxht+d tehg/2nef 12 Hzwd2 eti +n+(x/e:hgth?

  What is the frequency of a 2.5 m wave traveling :o jbz .(kxzwa97dnu /n: fsmfeq9z :;f9ag;x at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 N.wc n(m +o/qba2 What is the wwba 2c+n m(o/qave speed?

  A string of linear density 6.0b( hxi7 pf1p0w l)vikk6o0 3ft g/m is under a tension of 180 N. What is the velocity of propagation of tranwkf)1b ikxl7t 6fp3(v0i0o phsverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 507sibdre nwb5n1t9m/g9(qs 2q 0 m long wire whose total made91qsn bb2 7 r g(t/nq9wim5sss 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 ):*n n.aj+lklok+ 6pf4id ho0v eq5 (bw7sfisof a transverse wave on a 2.0-m long string fixed at both endp4wn lfq+b(aj 6kd*hio.eofi+0l: n)7vk ss5s is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamentgfurd fe ,iq/r28 *nt;al frequency of 500 Hz, which one of the following frequencies can set th,r frd8te gq2/i;f u*ne string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wave d5j-cx s+diicxk *i+ -driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with iidx kds5cj-+*c +-xi five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standing sqf u-psrt56q iuv650transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 5s r6isfu6 5-pq0uqt v4 loops?

  A string of linear density 1. vmdnub75c(-r 8nvtzqwq 3 :8g5 g/m is under a tension of 20 N. What should its lengt78n m(83-gndczuvqwv: q rb5th be if its fundamental resonance frequency is 220 Hz?

  Find the first three hauufxw (8 n-;f(wyaxila4*d9 hg-fivsj8o5 r ;rmonics of a string of linear mass density 2.00 g/m and length 0.600 m when i xuf 948fxs v;rigl(-5waud( wioay8;-h f*njt is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. /b xsn2jcx) -dkcr/yih )vg+ /When the string vibrates at a frequency of 85 Hz, a standing wave withh/br +j -x) i/yg 2/kvn)cscdx 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.