The time for one cycle of a dbb80uiw5. mqperiodic process is called the

  For a periodic process 6mmd*bf: atk,;*zqt.h 9kbcq, the number of cycles per unit time is called the

  For vibrational motion, the maximumi25qzf(sy,k qm3o:bj displacement from the equilibrium point is called tf:2q, 3jmsiy5 qz (okbhe

  A mass on a spring undergoes SHM. When the mass is atz- 6fswciv;k6 its maximum displacement from equilibrium, its instantaneouiz 6;v kc-6wfss velocity

  A mass on a spring undergoes SHM. When the mass pass(p, i :r( 1fd ulb.snumxscpm)m7yu+;es through the equilibrium position, its inst. lcpf7 x:) ;u,sm im(ry n(sbudmp1u+antaneous velocity

  A mass on a spring undergoes SHM. When the mass is at ma )tkwlxy9/,pq6jk +x+/ oaqedximum displacement from equili+ q/ea/ox+ d w j6x,)kpy9lkqtbrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down betwee*o t4 2iiu*5z2hqidimn points A and B. Where is the mass located when its kinetic energy is a minimu2dti2i5* uh*4zimo i qm?

  A mass is attached to a vertic58w 5toc9p*3fomuojlcz m 4 a:al spring and bobs up and down between points A and B. Where p a3*:mwflo45cjmo5t 9zcou 8is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobsb*hk z.jr1,e d up and down between points A and B. Where is the mass located when it1r.k*z dh,j ebs potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betw71km ;:uoiq)mwi p: treen points A and B. Where is thq wt1:ump)ki:rm7;oie mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system llo0ngf*j;ox c,1ky c:/ agkn:dd23 gproduces what effect on the system's mechanical enejgd*ny : ;0c:1x,g 3gf/okkollc dan2rgy?

  Doubling only the mass of a vibrarv;+q 0og dohtg 3mn +n/mwk09ting mass-and-spring system produces what effect on the system's onmwgthrk+mo/v3d +q0n ;g09 mechanical energy?

  Doubling only the spring constant of a vibrating ma1zns. psq qv--2zz8ot6es e0tss-and-spring system produces what effect on the system80vezs1t sqzz -tqp 2.son 6e-'s mechanical energy?

  A mass oscillates on the end of a spring, both on kl)+) uvx8yr kEarth and on the Moon. Where is the period the greatest?u+)vyk)r8lk x

  Increasing the spring constant k of a mass-t;32l xp4apvl/pxb(h*e 4 *n bfn0 zxeand-spring system causes what kind of change in the resonant frequen (2be3tx vxfb440 e;l*az/*pplphnx ncy of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system cg iux0iwf adn95- )wl4auses what kind of change in the resonant frequency of the system? (Assum5in0 -fu4i)wd 9xal gwe no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what ki q)y*j d3c4gt(g 2rotynd of change in the resonant frequ(jggor*y4qt y )d2 c3tency 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 strin fg/j1 -hdjkxywoyr/d+s f(-5g of length L. For this system, when un y/sh-rg1f-/5ojkw+d jxd (y fdergoing small oscillations

  When the mass of a simple pen fm*smal2zu) -gp,q, wdulum is tripled, the time required for one complete vibrat, m m,gu* fqpzw)las2-ion

  Both pendulum A and B are 3.0 m long. The period of A is T:l0ihu7g:e, v lhuz0s. Pendulum A is twice as heavy as pendulum B. What is the plg0,z h:vheuls0u7 :i eriod of B?

  When the length of a simg xou, ;*q8nodple pendulum is tripled, the time for one complete vibration increases* qxgod;n 8u,o by a factor of

  What happens to a simple pendulum's frequency if both its l*hbpjt45 -fe dength and mass are increasee5*d bjpf 4h-td?

  Simple pendulum A swings g fa,kptqp+(. back and forth at twice the frequency of simple pendulum B. Which statement is cpa gtk,(f pq.+orrect?

  If you take a given pendulum to the Moon, h3ev:e:sgsx jmq3jg5 8ag*e :where the acceleration of gravity is less than on sg ees5jhg:*:eqv8: g3 xjm3a Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 repres.y+zsjy tj n;3ents

  Curve B in Fig. 11-1 representg,p bf)e zwj3.s0l z0ks

  Curve C in Fig. 11-1 representswnf 4:3 iqe isj1qa* qbrz2i+/

  For a forced vibration,w ngie fj01f+ nptb006 the amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium is c sx)-xtg ow32m:*zp eialled the wavi -w2 ot xemg)sxpz:*3e's

  The distance between successive c vg; puo,taxv) ,d6s:ag6 1qcdrests on a wave is called the wave's

  The number of crests of a wave passing a point per unit /jjk;bc:/gq /i -,thaq/jv fjxu q3h5time is called the wave':v ih /qu,jt/ g3qk/b/aj;q fj- 5xjhcs

  For a wave, the frequbpj8 o km x1crz,(t +ju rfiy7 98g9ieer.7s3lency times the wavelength is the wave's

  The frequency of a wave increases. What h7ga-,r; jhtjbmio. w) appens to the distance between successive crests if the speed remains7 j t,;hi)-rjw.bog ma constant?

  A wave moves on a string with wavelength l and frequencyqka2jz .ag p.3 f. A second wave on the same string has wavelength 2l .ajz23.k a gqpand travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. 5hwz+f2,v3q 7yofb+hse vfu- A standing wy wsbfhe2qhovf+-57f +3 ,uvzave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave in6p7ubp0nc/ bl the string ispb 0/b7plu6 cn v. What will 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 length L is under tension T. The speed su- ec0dhb .u1of a wave in the string is v. What wu e10shc u-.bdill be the speed of 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 speed of a wave in the wjtk c 60f4dv*2tgg r8string is v. What w2tf cr6t*jdv8kg w4g 0ill 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. Aqk0 m+dqpp5/q s an S wave travels through the Earth,q5dkqm+/ppq 0 the relative motion between the S wave and the particles is

  In seismology, the P wave is a lfi).h :k/k5s;ob6n8yab6+gf j jm.f osrys0qongitudinal wave. As a P wave travels through the Earth, the relative motion between the P wavf y/)6;b iojf sjgk+r:5qmkaof 6s0.n8y hsb .e and the particles is

  The intensity of a wavf tvq m0(eb0/f (/npcme is

  A wave pulse traveling to the right along a thin cord resagv/2e)9l. qs4a l6no8l uupaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pul9 oss/8ullplaua4 qvn6.2e )gses?

  Two wave pulses with equal positivejw4qy7p: od8 p amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the poinqdp 8j 4:w7ypot that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one trave84kd qj0ag e:4 kwle*gling 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 they occupy the same region *kdk:ae0 we84g 4lg jqof space at the same time

  Resonance in a system, such as a string fixed at bot fj7*rghh sn h8 v3d7c+ qc.0q;0ususuh ends, occurs when

  If one doubles the tensionf 0( stv7wnl8g in a violin string, the fundamental frequency of that string will increase by 7g ntl0wsf8 v(a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a ma 066 bfgto4* 9ayxhcljss of 0.600 kg is suspended f90f*h4 jy lxobca6gt6rom it?

  A mass is attached to a spring of spring conhys (3d)z7 i9d5ong knstant 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)gso d73 i hn(9kyz5dn is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizn.c om5dlvu j*/c y 8w;dsn1-gontal, 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 bwdmuncy5lj8- /1cd. o gvs*n ;ack to its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spltfnm. , k1+b.-edhp*kmeoviq0 q-;nring 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 equilibkqnti fq- *lo.m+me 0hed,k-pv1n.; brium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. Its(hn t3, ,cc:cs+.iplyyj m t2.1 pjkt goes through 10 complete oscillations in 5.0 stnhs + t 2mic jjs,:(3kcl.y.ytp1c,p. What is the period?

  A mass vibrates back and forth from the free end of an ideal o. j r4z(l/shkspring of spring constant 20 N/m with an amplitude of 0.30 m. What is thk r.s j(l4/ohze 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 spring of spring constant 20 N/m along a hoe,aeg b 0eoea+*b+h/u+ 3mhls rizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. Wha/ es 3+lmb0e b ,ehh*+ga+euoat is the total energy of the system?

  A mass undergoes SHM fy7c.tf.ge+rl 6 n2o.vh8cecwith amplitude 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 6vec.g+h ce.8n.lofy 27rft cthe system now?

  A 0.50-kg mass is atn-p yd0s/fn((mm55q+salx0:lvmfys tached to a spring of spring constant 20 N/m along a horizontal, frictmf( 5 d-sq0 yns5lmpfy(+0a/snml:xv ionless 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 vibration?

  A 0.50-kg mass is att rswm4av(qv ,i:6-ai0f7fk01u soy eqached 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 0q y a:rav7w im4of 1-0ek(q vufs,s6iof 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 enl/ 6 c;vnk9pf+j6h 6eruhr6gyd of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energpu r6f +gh yjk/h69r elc6nv;6y of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constant0blqy :oni8xci5 ku xyw*t9+2 50 N/m and syy* 2u98i5q + to:ikcxn0xbwl et 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 fvpwa pb)4(*fb rom the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0*(wp4vpbf )ab.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced)+ /mj z8 dpmk38wqyxz6v3vsr 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency woul/r vpvy 688zz)m jmwdqs33x k+d be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached t6tgf1jwe(km/ o a spring of spring constant 10 N/m. The object is displacej(t/6m kg 1wefd 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. Tsb66re(7oiq yo f(zaaa1x3 6- kxxqe1he object is displacefersa 7xo( 16aibqy3o6-q k z x16(axed 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 constanmrngda(gw6qbo4 .( *nt 18 N/m, displaced slightly from its equilibrium wg6qo.*4 ((gannmrb dposition, and released. What is the frequency of its vibration?

  A mass is attached to a sprinj /mwq6y thrv-nu8oyoz5 u,c (7wo(b.g. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What 6- yrc, um(bv8.uwn/z(jqt o oo5hyw7is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different sp2;pobczh)q d0 rings. 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. Hb zho2d;c )qp0ow 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 .blixqcmoa8 4 qv9 6m /yne;i8stretches the spring 2.0 cm downward. The mass is then pi cqnxea6/;mbovq.m 4ly i89 8ulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspvpb/8pq*e0mln(8 qss6vck -cended 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 bscl q-sk(8*8 pmv e0q/6ncvp released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended onipml l)w,r-g.y b ku)) a spring. In equilibrium the mass stretches the spring 2.0 cm )-lbiu ),r. lp)ykwg mdownward. 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 obeys9kt* 3* m+s(kcp c:yaxxyadk; the following position versus time equation3ay 9t;kk*x*c ya:p(xsd +cmk:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position verov(+ep 6fx0rv 3vbn r6sus time equation: r v63p6r0obf(nv+xev
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeyqf0cx2q8r + jjs the following position versus time equation:fc q+ xq0jjr28
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmoniit,*:a8d 7oheu v8gzs eq0p2nc motion according to the e*i7 g82voen,ztuh: 8sdeqap 0quation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spri6p 4mwxa4 w em1jger21ng with a force constant of 20.0 N/m oscillates on awpg4 e4mr2wjx6m 1 1ae horizontal, frictionless track. At t= 0, the mass is released 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 swingsk7a9t6vl v r2g in 8.0 s. (a) What are its frequency and period onv trlv7 k962ag Earth?

  A 3.00-kg pendulum is 28.84 m long. What is inluttu 0 t*j*7e in(/ sbdv.89q/xjvgts period on Earth?

  A pendulum has a period of 2.0 s onjqu rgp3a-jx2.q **ya Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m a6eh9ck +caxv .s 7v 5f*sn7jrlong. What is its period on the Earaakhvs56c *.exfjs 7+9c7v r nth?

  The pendulum of a gravpzv:tk6.1jr3 -fh i yndfather clock is 1.0 m long. What is its period on the Moon where the acceleration due to graviti.jy3 htrvv6k1-: zpf y is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.w.c oj0w1m f:nya*u5r25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forthr*amjfwu . cnw0 y51:o 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 ha6*viobj /z;hqs initial angular displacement of 8.0e. It oscillates w qiv6;o*/bj zhith 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 "snapssm7)0g/vj achhot" of a wave at a given time. The frequency of the wave is 120 H sacg0/vh7m j)z. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of trt 9*t4a+u2eg; xho dnhe wave is 120 Hz. What igd9e 4*n h2axtur;ot+s the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of thep6uf4uy,hp v. (zb d-m wave is 120 Hz. What is thep .z fh4v(y6,u mbdu-p wave speed?

  What is the frequency of a ) qq,7ov 5mzzuuhs7qln lhq*/n) 9c8dwave which has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1505 pgc +g+:kj6elvdpt /0 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a -,re2s yq djw8wavelength of 3.0 m?-2 seyw,8drj q

  What is the velocity of a wave that has a wavelength of 3.dt7fzu2kebu9 itvq hi4/k4 400 m and a frequency of/ih t4 uvdq4b i0uez4fk 7k2t9 12 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 m/shx/m/0 jbllz :?

  A piano string of li vte p,*nxp 8b(xam0c.near mass density 0.0050 kg/m is under a tension of 1350 N. W0b p, e( nvmxx8.tp*achat is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. Wha7f) h*oi*q sfrt is the velocity of propagation of transver)fsqfih*ro 7* se waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m lo1+zf*ndv86(c ufo hf7isqp m mzgs)- +ng wire whose totc6z8gs mzsi1 f+*onpu-vfd+)7 fq ( mhal 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 ofhvv y y)-:e0xbx -om1x a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the foll)yx- 1:eb0vh-oy mxx vowing is not a resonant frequency of this string?

  If a guitar string has a fundamenta(9myhpf 5 ;wzo2f80l1bfl mmil frequency of 500 Hz, which one of the following b 01yif lmmw5;z2f(lof pmh89frequencies can set the string into resonant vibration?

  A stretched string is observed to have fou h+g6 o0iu* 6(ripya;cy)ak/+qk ruegr equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with fi+;k*yi6upgg r/k 6aaqe) +0h(ucrio y ve equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a s(8 s pe0;xignbtanding transverse wave pattern containing 3 loops. What frequency is needepg;sinbx08 e (d if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.bud6pij v8wp q+55fn65 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frepu6ji+ nv 5bdwp8f q56quency is 220 Hz?

  Find the first three harmonic(0azra*r5ba cs of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tea0arbz car5 *(nsion of 50.0 N.

A string of length 2.5 m is fixed at bw qpa49y 0djvk jn(9f-oth ends. When the string vibrates at a fre9-4q9a wkdpjf y vj(0nquency of 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.