The time for one cycle of a pegyc,rpw: h6gv ywg11 +riodic process is called the

  For a periodic process, the number oy wjt g-;jix/4riac 81f cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibriumjmg+gsj b,fya*f,-vjcl6 z 9p6/5mli point is called ,lv bsg/+jmjyjif5fz6 *-a,lg cp96m the

  A mass on a spring undergoes SHM. When the mass o11ui7vt),,;c8jl jtdta dq cis at its maximum displacement from equilibrium, its instantaneous vca7t ;i vd 8djutj1,)tcqo,1lelocity

  A mass on a spring undergoes SHM. When the mass passes through the v6lc.; ,*l+pd yjceuwnp29vmx5-tllequilibrium position, its instantapw6yc5nl mlvl2,vt9lcx -u ep*d; +j.neous velocity

  A mass on a spring undergoes SHM. When t0 p1qwxzduhc ;4jz u 7iv99yr/he mass is at maximum displacement from equ1jhcuq 4p w/zvr0 9xy 9z7i;duilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and7el /(g : ecp:l bvdi21n2qn8se;xxhu n.n)m j bobs up and down between points A and B. Where is the mass located whexx)e:c1i/l:hg8p n22sv(neqj ;7 unne.b d mln its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobsvg n.+s1njk/r 09s qmg up and down between points A and B. Where is the mass locatg r9kjsgn/1+m s vqn0.ed when its kinetic energy is a maximum?

  A mass is attached to a vertical g b1o/,kw w ww7d8(bpf193lz kv3ayr ispring and bobs up and down between points A and B. Where is the mass located when its potential energy is d97(i wwo 1kly/ 1, wr3v83zgfabkpbwa minimum?

  A mass is attached to a vertical spring and bobs up zmp j/lh )3.ye;trh3 mz7wt4gand down between points A and B. Where is the mass located whe7wygt.hl3pj ;z ezh4)3m rt/mn its potential energy is a maximum?

  Doubling only the amplitude of a vibrating muu y:8vduiwnr )+1qa1 ass-and-spring system produces what effect on the system's )aid 1wu qur18+ uvny:mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what e9hu8 l nnrnen j,x b8h-r)m4r8ffect on thh-n le nmnxb8h j ur84rr8),9ne system's mechanical energy?

  Doubling only the spring constant of a vibrating mb raaepi*y/8 9;b8udk ass-and-spring system produces what effect on the system's mechanical enak* p;ir/ea8b d y89ubergy?

  A mass oscillates on the enjq267*ktf f,oq g9dmvd of a spring, both on Earth and on the Moon. Where is the period tht qf7dq*2v,6oj fm gk9e greatest?

  Increasing the spring constant k of a mass-and-spring smxmbt 5rf()c6yr 0.grystem causes what kind of change in the resonant frequegr 5ct. br)m(ym6fr0 xncy of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a majwi 3 a*r4q03oyrr rn8ss-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no chanwry4r *8qo r03arij3nge in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spri bdf6l,(va,(qm) pk3 xzz cg;ing system causes what kind of change in the resonant frequency of the systempvm 3ldz6k, (abg, q;zcfx )(i? (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 e+ki-zidj, y2y d; i04xv s*caa mass M attached to a weightless string of length L. For this system, wheniz ej0yk-+* ,iid42 ydacxs;v undergoing small oscillations

  When the mass of a simple pendul-dk 4t8z6n :c4ogytz dum is tripled, the time required for one complete 6ztkynd4:d8c t -4zgovibration

  Both pendulum A and B are 3.a gc6fpqfop/w v.0ru rr;hul: l8y4o8j1.m 3i0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the perwlrmfpor c4.u 3yi8 /v:aqfgj0u .or;81phl6iod of B?

  When the length of a simple pendulum is tlsd2g315myt jripled, the time for one complete vibration increases by a factor o 35 dysjg1mt2lf

  What happens to a simple pendulum's freocf1d0ykmrhbh ub )ej1z 0l*9*u 68luquency if both its length and mass are incream9hj6zuuhydc8u*f rbeb 10o0l) 1*klsed?

  Simple pendulum A swings back and forth at twice the frequegc1dpa r8).tkz0a)vw n k0 f;pncy of simple pendulum B. Which gwavt .1 0)k )dp;kpcf0nzr8astatement is correct?

  If you take a given pendulum to the php d0/8jx fj8r n1l+nMoon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum wilnpj0d f8l +pnrhjx 18/l

  Curve A in Fig. 11-1 repres 9c .vemi n in2(-6 lurz,;aysdq-oduo0 g4cf5ents

  Curve B in Fig. 11-1 repry d690 u,tqsir dt41rkesents

  Curve C in Fig. 11-1 representsh+w e5umhb6;l

  For a forced vibration, the amplitude 0vy l+z-+ d63wdljjjtjaxpe/ :g )/y jof vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilib gukyc; lfekjix*57,( rium is called g *;jy 7(,ucekx5lkifthe wave's

  The distance between successive crests on a wave is called :3 y n:jxro4:w4qyn:zs zmzz1the wave's

  The number of crests of a wave oev (5ddyeqpry- .0/v passing a point per unit time is called the wave'sod5v(-q yvrde.0p ye/

  For a wave, the frequency times the wavelength is9k +bj0ap 6yiskp++ qkqup.imt0 h5o,)r. nvy the wave's

  The frequency of a wave increases. What happens tolzpl5jr)p fl.gj*3: 3 0snk mi the distance between successivnlj)fk0j lip5p3:*3lz r .msge crests if the speed remains constant?

  A wave moves on a string with waveleg zg5 )eqluk33ngth l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. Whaue3 lg)3 kzg5qt is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. A xe ki40 v3k-blstanding wave is set up. Whickbxe 40-v3l ikh of the following is true?

  A string of mass m and zu pjj 9rcfc+ay3t- 4z8rxc+3length L is under tension T. The speed of a wave in the string is v. What will bz48+yfj-xar39c tz j+pur c3 ce 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 spee dy2)b2vj cpdnc+-2l ld of a wave in the string is v. What wijb2cldp 2 d-2c)nvyl +ll 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 c*0 b jtog,3xkunder tension T. The speed of a wave in the sttx 3 jg,bk*c0oring is 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 traw1yu y b683aafnsverse wave. As an S wave travels through the Earth, the relative motion between the S wave and thfwayyb86a31 ue particles is

  In seismology, the P wave is a longitudinal wave. As a u l-xx 1pg-sfhaa:tb cs741x4 P wave travels through the Earth, the relative motion between the P w4sh x-41: ga1f t7scpax-xu blave and the particles is

  The intensity of a wa 4tv(hq( etap5ve is

  A wave pulse traveling to the right :82 pfre bol izc-r6d+along a thin cord reaches a discontinuity where the rope becomes thicker and he-f :86d+roizl p eb2cravier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal/h/mlk o-(2;xc ezr jz positive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At2 kxh//lej ;r-zocmz( the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a strgnd/+6nko +c 72eh mvg ;2vjering. The one traveling 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 of space at the same timegh;j e+nmk+n oc/26r7vd2gve

  Resonance in a system, such as a string f(4dqyq h5 pkp fod*k+ 8*woo;gixed at both ends, occurs when

  If one doubles the tension in.e+ b *)g qw0rlago:h)enqxb 4 a violin string, the fundamental frequency of that :qqb)xe4aghl n0o*.)+g rwb e string will increase by a factor of

  What is the spring constant of a spring that stretches 2,lpg t j/j l1-da8w,wz.00 cm when a mass of 0.600 kg is sus8zdat- jj ,g1,/pwlwl pended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, w jq2qp 4;eo8bt 8pok4frictionless 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 position8b;p4 8jo2ek4o ptqqw when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a hor tgh7k2ef t6)vizontal, frictionless surface. The spring is init2geth v6k) f7tially 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 period of oscillation?

  A mass is attached to a spring of sp.c0ltc /8 mtkuring 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 ./ l0 ckmtc8tuwhen it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete olo9p7 (p/polvs*; c0a qh.odq r t.f3tscillations in 5.0 s. What is the periop7f/ ta(sd.o qq9.0 ph;otc vrlpl*o3 d?

  A mass vibrates back and forth from the free end of an ideal spri )x dh2uoa8aa )gp +ze) gmgg9xn3-2nxng of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibratingn )gxdg9-mg+)3pxe 8)oax a2zn2u g ah mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attacv*ylv hifj td0 z5h,ptk730)csr0 d z:hed 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 athd0t0*yrj)c 7tv 5sl 3vzkidz ,0 ph:f 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 ay0pdqa uw*e qm1dg1v:sdg 441t this time. The mass is cut in half, and thugewd1q0 a ygs4qvp*d1:m41d e system is again set in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spriye - c)oi23gqwng of spring constant 20 N/m along a horizontal, frictionless surfaci 3gy -w)oceq2e. 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 at /3e ufs4byfy.f4dna- tached 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. At what location are the kinetic energy and the ny 4feyf.uafs-3db 4/ potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring con1,)ay ,;a 8b scddyysnstant 50 ,das;),bynsc y18ya dN/m 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 spring of spring constany 8wh;jf: xeg,k8go)t,.h q ixt 50 N/m and set into o:xqwe, 8x8f .gkgiyh);th,j 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 spring , w8lonq)roj k)* 4 txmqb:jhiv9(wh4of spring constant 20.0 N/mhb t:wl,qqx(i j) jm8on hw rvk944*o) with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its b(13zd kpgd s8x5qjdm;l o 28xequilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass hadpgz x dm3b(2 l;qd so8x5jdk18 been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of springl f)pqbr)bsd8qo4+-es y+;t4 8tgyqv constant 10 N/m. The object is displayob-gssq4p8v4ey+tqr d )t q bl)8+f;ced 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;*e:2ctxplbchq cy-8 d-ja3 d . The object is djc;ea bty*ld h: dp- 2q-3xc8cisplaced 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 constant 18 N/m, dismo4liqudpz9s / 8kx+ 8placed slightly from its equilibrium position, and released. What is the f o 89p/slm8ik zxuqd4+requency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 xotptii o2,gnq3l71 lu9 4ag: Hz when displaced a distance of:i llxo3t94 1a2goip7,nu q tg 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 A vib )aiij*4t3 t ewz pt-f,lw4f(vrates 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 spe)j*4-(pii,ta4t vftw lfez3wed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspendeqb por7.h) nsplj19(k d 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 released k79bo1(p .phs l jqn)rfrom rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. j-+z x:qchs:hlfh, *aIn equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an ad*qa+z: lh :shfhjx c,-ditional 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 am)i2 )zmbz)vp spring. In equilibrium the mass stretches the spring 2.0 cm downward. The masmz v)bmi))p2 zs 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-ixqoi(44 (no: z1bi9cn rm jr-fq8kh obeys the following position versus time equationiqc8o qj( (9ih 44k -1rrb mnx-:zfoin:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time equcmb r*t cj:h; 2rb82ocation ctrbc:com2* jh r;28b:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic 1 5ogxz*h +,3g b8l a5hdjkgw5vpa.ymmotion obeys the following position versus time equat 55+p y.5lzj gavam1gb,xw3 hdh *ko8gion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring execut10r:psh gzv 1ses simple harmonic motion accorp1hz1gr0: svs ding 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 attached to springmh hmhsfbgg) l . ( *ue)tk/-1pp6vlm2 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 stretch .t2gh ubhs(m/ phml m)-fle16)*pgvked 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 ds, cygz9d j dgo6)2k7swings in 8.0 s. (a) What are its frequency and peridd)k2d z ogc s,6yjg79od on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Eartvh2zj00 r7k2b (uaoish?

  A pendulum has a period of 2.0 s on Earth. Wvj -w *x.-pwav(z ph/qhat is its length?

  The pendulum of a grandfather clock is 1.0 m long. What h,cyr9jje *c6is its period on the Eart ,j*chy 9erc6jh?

  The pendulum of a grandfathe;z 7az oxyyeo9,6xe5 dx3a+ for clock is 1.0 m long. What is its period on the Moon where the acceleration due to gravit ;5a+z6yoxxfoz9ye oex7a , d3y is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.wedi;l-sc3*p5. uewe25-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 forth with a frequency of 2.0 Hz. What frequency would have resulted if a 0.50-kg mass (same diameter sphere) had be 5pui3wd -wece;. l*seen attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial anektfp cv626nd1zs0 c:gular displacement of 8.0e. It oscillates with a period of 3.00 s.z60etfk6v: cp1dn2 c 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 of ft*6*dd btv8fthe wave is 120 Hz. What tvbfd* 6f *td8is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. Tha (h)m-i*u wa5 5mog(snm bjhhjb7,s,e frequency of the wave is 120 Hz. What is the wavelen,5 ()bj-ha iga,( hwus7o5mnsh*bmjm gth?

  Figure 11-2 is a "snapsho9**yze2ne k5;fi h)1m d ,d1 fx8vgfd6 wlioedt" of a wave at a given time. The frequency of the wave is 120 Hz. What fhdn,982z1idvg *f iy *eo5 6mfd)kx1we eld; is the wave speed?

  What is the frequency of a wave whiqt2 / 4cerqok.qfg)0 wch has a period of 6.00 ms?

  What is the period of a wave with a +7qhc 4gvtm:ljr5. lcfrequency of 1500 Hz?

  What is the wave speed if z2m r(+manj2e a wave has a frequency of 12 Hz and a wavelength of 3.0 mmae2nz+ jm(2r ?

  What is the velocity of a wave that has a wavelength of 3.0 m an zyi3l/(q b -0;gaw.gg5i,nvzz. uu,jr ziow*d a frequency of 1a luggizgzbzn,z,*y. -viw uo(/q;.r503w ij2 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 m/* 1pblt ;x9emts?

  A piano string of linear mass densit1 28ba 4mskekz:xa1,jrdtu 9q y 0.0050 kg/m is under a tension of 1350 N. What is the wr eux2j1a1,89q4zkm a kbs:t dave speed?

  A string of linear density 6.0 g/m is under 9-*nhn q ykcntov2t**a tension of 180 N. What is the veloci nn*nt*v 9hqc2y*- oktty of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 mlk6oo ;gubok3wo4ut 3h.(4k v long wire whose total mass3kk o6ohk w3 o4uov4.t(b glu; 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 fixed at:ix4vzv :kmzl p:d11 th8;xmm both ends is 200 m/s. Whi:zkm1x 1:v ;hd 4m8xlzt vm:pich one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental fr;lr3w i 6v:y85*xiwa z3zf4 o s1ruaroequency of 500 Hz, which one of the following frequenciel6rz yoirs *34:18w5i;x wuvaaz3orfs can set the string into resonant vibration?

  A stretched string is observed to ha0-pjyl;2*v zuw+ gualve four equal segments in a standing wave driv+;-z0lj yl u* vaugwp2en at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequep ps* a1mw u5ol84jtr36nt+vyncy of 12 Hz with a standing transverse wave t 5apmy s u 4v6rtlnpo31*+wj8pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension 6qwtp2b3zsqz 9nr4 lz* rg;6 vof 20 N. What should its length be if itzq;6zvbn4ts* 3l6grq9 2rpwzs fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear masspk k1 lrai- :1 xigolu67yqe/2 density 2.00 g/m and length 0.600 m when it is subjected to tengiyure-p:6 iql7ol xa / 121kksion of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the sta1 m2f5 t7lam7ukbrkm 2izzi) :yidlj4o0.5s ring vibrates at a frequency of 85 Hz, a standing wave with five loop1ijt5 fbk rz i 247ul0admy)k.5iomm7z:s2a l s 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.