The time for one cycle of a periodicf9 n:xfy64ui r process is called the

  For a periodic process, the number of cycles per unit time is called the6 v,uhl6: ax) - smnznfav.r4x

  For vibrational motion.xmc1tj e(s1ud7o,sr , the maximum displacement from the equilibrium point is callej1tc. demrxu17o s(,s d the

  A mass on a spring undergoes SHM. When tf1)1ook52skw q yx**uf+qigq he mass is at its maximum displacement from equilibrium, itu o*o211f+ )ksgfi* q qywk5xqs instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the c: jisy*,yo9 bequilibrium position, its instanti, yb*: c9ysojaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displdq. (;z 0yl,w7p agcmwacement from equilibrium, its instantaneous acce0qyw;dc.,7(p wlma zgleration

  A mass is attached to a vertical spring and bobs up and gk3ev,j gg)7o wo:; lxdown between points A and B. Where is the massvk)lgg g7,o;j3w:oe x located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up3o sybfjl7c9.ig+5yu and down between points A and B. Where is the mass located when its kioi3 g 7s+julb5y9cf y.netic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and hmm 7/a(:qjijq )zny3down between points A and B. Where is the mass located when its7: znham ij(ym3qj )q/ potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down bet; cu-hvl-4 jclween points A and llv- -cju4c h;B. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system p+/96bmixd5s a 1wr2s3wdfs wiroduces what efffmwsds 5i x9/+a wdrw6s3b1i 2ect on the system's mechanical energy?

  Doubling only the mass of a vibratntys1es t-yu9dp *;a f9cr5x*wlo2 hvlb, 3 z4ing mass-and-spring system produces what effect on th5lp ft9vlrwb1*ahsz*3y -yucs92o4e; ,ndtxe system's mechanical energy?

  Doubling only the spring constant of a vibrating fq(m9p3 x (kfimass-and-spring system produces what (kq3x fimp(9f effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Mos+ankyq(k:z4 nop9k 6r7y .vuon. Where is the perioz s:ak6onv(4nrk 9+p.ykyuq7d the greatest?

  Increasing the spring constaz0 )f,h 82-wc xmsctqvnt k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the s v z0chsm cf,2t)8w-xqystem's mass m.)

  Increasing the mass M of 2jbc*; m1le5ysge. hja mass-and-spring system causes what kind of change in the resonant frequency of the sj. eb1lyhce*2 5jgm s;ystem? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sl 4:e qa27bjvipring system causes what kind of change in the resonant frequency of the system4q7l :2eavji b? (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 masw + ymes.u cbx(4kw4v0s M attached to a weightless string of length L. For this system, whenw smy wx. kvb4(0+cue4 undergoing small oscillations

  When the mass of a simple pendulum is trb2 dmpq*d9;-q l8its nl-b+bh ipled, the time required for one complete vlm-+ithb -b;2b d8lq 9sn*pd qibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twice d shd :n 4g -cse8o6,9rjpdrx)gl62dtas heavy as pendulum B. What is the per g46o-s),xd jds rec9t 8r:hdld2n p6giod of B?

  When the length of a simple pendulum is tripledj g, wp;p5j1ve2jx*uh, the time for one complete vibration increasehg, ;5ej2pwjp uxv1*js by a factor of

  What happens to a simple pendulum's frequency if both its length ag; o-u,xiv,4ct q8u xfnd mass are increasetio,u fuqxc8; xg4v,- d?

  Simple pendulum A swings bac)b jl4.w yxpfbc588s6ivl.mj k and forth at twice the frequency of simple pendulum B. W6b.fw x )jmpl8.s l48yv5bjcihich statement is correct?

  If you take a given pendulum t7yx3gq( zk): g wh qcflxg,,n8o the Moon, where the acceleration of gravity is less thanqy7 q(8x,g)ghf nlc,3xk gzw: on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 reprua cq/ (ape8;aesents

  Curve B in Fig. 11-1. ,d uvh-dab)c represents

  Curve C in Fig. 11-17zr+i xj.:stj represents

  For a forced vibratio1-k/ikp l jsky2,bx0 in, the amplitude of vibration is found to depend on the

  In a wave, the maximumjaep)r gz.3s oaex.b9i -0 na* displacement of points of the wave from equilibrium is calbes3. .oi0ejg-*aa z9)p r xanled the wave's

  The distance between successive cresk6*sg7k6bde sjdj 7:qu6on(h ts on a wave is called the wave's

  The number of crests of a w-/0j mkbtdd l6xag0 e(ave passing a point per unit time is called the wave'g-/(0xm ejlb0 dakd t6s

  For a wave, the frequency times the wavelength is the w fi 8k4n nxpy+-4qrzo-ave's

  The frequency of a wave increases. What happens to the distance betz;b7oat.eg :e ween successive cre;oagb.t ee:z7 sts if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A secsj0 - yn- 7cy4jodip*eond wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the s n op0d--c7ey4ijy*jsecond wave?

  Consider a traveling wave on a string of length L, mass M, andk,h,xb/9i2v sxcmiqy x c6sl-4bv 4.u tension T. A stand96bx4l c uvki /-,smq vxsc2yi.x 4bh,ing wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of.in+4m c5 ayqnre(yz2 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 cha4iny qym(.na cr +ze25nge in length?

  A string of mass m and lengtn*ar6 mk+u2 z2+( a iks/hvldcawl64 hh L is under tension T. The speed of a wave in the string is v. What will be the speed of( duh 6canm+ai 6+*2zka hkv/4lswlr2 a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The htyu . r+h2hp*8:duxt speed of a wave in the string is v. What wiluhd28+tr* y xhut ph:.l be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is bv,vhu 5u ack82k8 *fye 9ami5a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the particles is hmaf55vicyk8a 8*,buev9 uk2

  In seismology, the P wave is a longitudinal wave. As (-oz- (ypjpblc8 caz7a P wave travels through the Earth, the relative motion bet(-7apz by-lp c cjo(z8ween the P wave and the particles is

  The intensity of a wag69+sajo. vf5zq m trz ,(t;ryve is

  A wave pulse traveling to the right along a thin cord rq8b+ nki 9a: (mztb9cxeaches a discontinuity where the rop 8tcm9+qabn xz9i(:bk e becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other o5s0tz-zuc)i*c:- ohwp 9kqv xn a string, one is traveling toward the right and the other towarz )huciq-kwzt oc9 : *x0-spv5d 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 toward the right;:pe)-pw uijr kwkr: - has a positive amplitwpk r;ij)w: reu-k- :pude, 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 both e; )c0htyweoj/ukqybot* * ,4v+jd c h4nds, occurs when

  If one doubles the tension in a violin b znlewyn,p94t;u1h-qgl(p3z-g 1hx string, the fundamental frequency of that strpxwq;bh1-z1n l,t-e9(pnhu3 g4y glzing will increase by a factor of

  What is the spring constant of a spring that stretches 2.0v/ 2/(qkwzj :(bke tbr(4 cfyqess9(v 0 cm when a mass of 0.( y(r:9tfjsv/vw4 (cz2 k e(sqe kq/bb600 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, frin.pww 8 ard3s7ctionless 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 amplit n 7w8sprad.3wude?

  A mass is attached to a spring of spring constant 60 N/m alo)k o *k ctsa421tpfl4gng a horizontal, frictionless surface. The spring is initially stretched by a force ofl*4tof4pt2k1k)a g cs 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 spring of spring conatt w sf jzz6h,5.je:l2lo e6+tqh9.xstant 60 N/m along a horizontal, frictionless surface. The spring is initially stretthh6,e5jtz 9 sae6 wlo.+ztql:jx.f 2ched 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 oscillation?

  A mass on a spring undergoes SHM. It goes through 10 co41utlycz-h .3q 8 eo9h3hs*d 0qmvbk omplete oscillations in 5.bzt3my eq98 1- 0 dkhv3 sh.*oqo4uhlc0 s. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring m.s/p;2r3 so 9y rqsuzx:+-wza*fskyof spring constant 20 N/m with an amp:+u3rpya.q- woyzssrsm k 2xzf*/9 ;s litude of 0.30 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 attach 1s*f *cjxi7hse 31 7bf;vpkhmed 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 total energy of tvf xhbmj1 c7*kpif*ss 31e;7hhe system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at a4jgv hmvkru)de,80cf)) i i+this time. The mass is cut in half, and the system is again set in motion wit i8+ugm ,hjcv)4e)kv r0 )fdiah amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m al2 n.c 7,vxverhong 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 amplitude of vibr7v.2 xcrve, nhation?

  A 0.50-kg mass is attached /6 hsxfn d*0x38sza *x2r/vfvswb5 gtto a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic /206r5s *f sx*8vazwbx3t /fvnshxdgmotion 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 fhew r0e2 gz*v 4b+;uuk a6:uvspring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.u:60 rv+fhevbkea;zuw gu42 *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 conc(w-*p p2t7qbedy x y(stant 50 N/my t(y p-eb d7xq*(pcw2 and set into 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 thd o j;y3 iqp)vx9jjy)9e free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is th 9xypy ji)j9j;3d)qv oe maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring syo9lv9yy g 7j8rstem is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observygj8or7 9y9l ved. 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 object1e1un5pl 5ev bswb7lk,r6rc cx1 i- hb+ z8e0q is d +i5b0rc6vusn1-weqe z8 k,r lcbb17e lp15xhisplaced 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 cons9oov4ske4 2 juka2y2ttant 10 N/m. The object is di4o 2u29jky s2v eak4tosplaced 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 s( fc ,k+ zq1w8pjv+.qsxfvn-constant 18 N/m, displaced slightly from its equilibr.w jpfz-8+ f,xsv scqqv n+k(1ium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27v3 ;xk,vcvau8j8 qzv* Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velo z,avxj8 q8vk vcv3u;*city attained by the mass?

  Two masses, A and B, are attach/dhl1d v.cnj1 ed 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 m ncld1d1 j./vhaximum 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 the t*ay usbfqco 5gv0)28 spring 2.0 cmt5g2f)s cav*0u y qb8o downward. 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 suspenf uh,pib,zc (bpo a6m47)f3f fgg;kh8 ded on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an7ag,;z(3hmb )fui4co h bf8f6fppk ,g 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 (0x4pfw,z mowb9:ezofss c3(on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional disf e(4s :,co3 p(zx9zso0mwfbwtance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonicfks0e5pc +8u r motion obeys the following position versus time equati8kcp5uf se0+r on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position ve xj9dxs:nr *t :gku3e7rsus time equationedrj*s3tx: x u9g:n 7k:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion o*l(dy -) xzklb1a snp-beys the following position versus time equat kn(p bx yda1*-s)zl-lion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmoniwt+i knt+;s4 fc motion according to the equation ;++w fstik4nt $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spc+*saxa36u+u r2t b z.m l txg7-tlj.cring 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 sprinta-c73+ll a2txgm.zu cjtsx ur.b*6+ g 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 sz9mt- ec uyafnbmv6)4 vo0y7 +wings in 8.0 s. (a) What are its frequency and pera cf6ntb9)ve+uyo-y 4m70vmziod on Earth?

  A 3.00-kg pendulum is 28.84 m long. Whatl tb0p260cdbj is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its3gtg ,r+ek/30rh.i /6mvf,up h ayqq4mh7 hbc length?

  The pendulum of a grandfather clock in-l i7afgyk-; s 1.0 m long. What is its period on the Earth? l7 -nai-ykf;g

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Modo+7xz*m5wb mon where the a7mbmw*x doz5+cceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-k4)tjkfkh +76h dn z7uwg spherical mass attached to a massless string. When the mass is displaced 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 sph77k6fthnzujhw +dk 4 )ere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mitnkq(; z9q)p/5o- f- giqzg qass has initial angular displacement of 8.0e. It oscillates with a peq)q (;qint5zioz-gfq k - pg9/riod 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 frequency r5s4 7ldko1o mof the wave is 120 Hz. Wh or d417kmslo5at is the amplitude?

  Figure 11-2 is a "snapsks.3ys4yi nzq99r2p5 b/d zeohot" of a wave at a given time. The frequency of the wave is 120 Hz. What is 4pq.5y 2ryo/3sb k9ids9znz ethe wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time.qmp4w* -gzl/ i id4cw. The frequency of the wave is 120 Hz. What is4gci.-4 mz lwidq *w/p the wave speed?

  What is the frequency of a wave which has a period of 6.0qucal0 3.s ,ufsxx;1 t0 ms?

  What is the period o pc3u,;ez 1fp .f9axuqf a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavel 8mbt/tv5x9vz v/ne ,sength of 3.0 mm z,9v/ts8tnb x/5vev?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frea3 ,5hjl t2d.5z+lvmkuu6 7agjg *rwfquency of 12 .a5d7 km5r3 j+z 6tjgluu*fwv,ha2 gl Hz?

  What is the frequency of a 2.5 m wave traveling at 1;+d v/vckpoq88ql s7vet1x7k400 m/s?

  A piano string of line6xl(ds .76ujx sffds :ar mass density 0.0050 kg/m is under a tension of 1350 N. Wh66dxdf7:. lxfj ssu (sat is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 6r-ww*5ecn bh N. What is the velocity of propagation of transverse wav-nwb5ewch6*r es along the string?

A wave whose wavelength8,c; . oviert.lofw8viixz9 0 is 0.500 m is traveling down a 500 m long wire whose total miro0tec f8,i viv o z;w9.lx8.ass 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 fixe/k4dom22tics 1)v bapd at both ends is 200 m/s. Which one of the following is not a resonant 4a/1cb22d v)o itmksp frequency of this string?

  If a guitar string has a fundamental frevs .qcary+) (4wl/6q;,hfzl 5oqeiququency of 500 Hz, which one of the following frequencies can set the string into res ;)+ y5z,e/(u64l.oq qqiv lqfwrah sconant vibration?

  A stretched string is observed to have four equal segmen+rc pmueg+,o93bo/6:t(va ase(lc er ts in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up( lrb3t :cageea+6oc/+ smerop,(vu9 a standing wave with five equal segments?

  A string, fixed at both ends, vibrate(qu 5+bxdjjpot ihx ;9f m30q6s at a frequency of 12 Hz with a standing transverse wave pattern containingmj(9p x6u +xq3jo b0diqh5ft; 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear densw bv/v + sayra9 r-r2 gqjx,mt6(.es-hity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamentav+sr -w a/,6-x qe(htrg.vmrbsjy2 a9l resonance frequency is 220 Hz?

  Find the first three hapv4el59 ni(( rc*-wjm fdw2 marmonics of a string of linear mass density 2.00 g/m and lenpl9( viwme-d4fw* 5(jcn2rma gth 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at botj:2d.n dluk5jpn / cz-h ends. When the string vibrates at a frequency of 85 Hz, a stanjk5:p/2lcnuz d. -jn dding 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.