The time for one cycle/in5 8 s0qtds2fvi:lq )fv;tu of a periodic process is called the

  For a periodic process, the number of cycles per unit ti2p) irqm8ya5 ome is called the

  For vibrational motion, the maximum displacement from the equilibriu+h ki 5cju,6zym point is called5 ckuij6+z,yh the

  A mass on a spring undergoes S2t d 3(8lvj oo4 pdduhfs.2r2fl;-cd bHM. When the mass is at its maximum displacement fros2 2 3bordhcd(dvod l;2f-jl8.4fp utm equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibri8i8ygokddar4)yh b , +v:0rttum position, its instantan4kr 8td),bv 8da yohgy+ r:ti0eous velocity

  A mass on a spring undergoes SHM. When the mass is a4l ohb16dbt95 m:vc iot maximum displacement from equilibrium, its instantaneous accelemov5lic1 6th4 9od:bbration

  A mass is attached to a vertical spnrhw07,)vw; z qtk o)g/:tvslring and bobs up and down between points A and B. rsw0;nl ,g zv7th :vt/oqw)k ) Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down f8 rk2q)vzp aa pj/n rym)(,u/between points A and B. Where is the mass located when its kinz ,)rk /r(p8 2a /q)ufnmpavyjetic energy is a maximum?

  A mass is attached to a vertical spring and bobs u-1dwc+m 8ao d,e/xkqja1j7p rn l3o,pp and down between points A and B. Where is the mass located when its ,q3opx j 8wl,a7n m+dejc kr-apod/11potential energy is a minimum?

  A mass is attached to a vertical spring ar.vyfo i1 8xlad10f9 dnd bobs up and down between points A and B. Where is the x19r0fy1o8vld aidf. mass located when its potential energy is a maximum?

  Doubling only the amplitude ofre+56 ek+wusloag9h * a vibrating mass-and-spring system produces what g k* ewol+ehs56u9a r+effect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring syr5zcgs n2.d, cstem produces what effect on the system's mechaniccgdz2 r,s5.n cal energy?

  Doubling only the spring constant of a vibrat d5:gk; xu u2ygs:mrv*g1u-qsing mass-and-spring system produces what effect on the system's mechanica2 yukr v:;5sgqsd gg*m1uux-:l energy?

  A mass oscillates on the end of a sprinmf art-49 yci09xx f,ig, both on Earth and on the Moon. Where is the pe x09,yf4 9fmxirca-tiriod the greatest?

  Increasing the spring constant k of a mass-a:ie niw(5j/lnnd-spring system causes what kind of change in the resonantn:5liiw(e / jn frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change in,op9atep 5zg (*wc+nb the resonant frequency of the system? (Assume no change in the system'g9t*n5(eopwc ap bz ,+s spring constant k.)

  Increasing the amplitude of a mass 3vld02nzl.axs:,)n2 zr ba hh-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no otv .d2 )l, s:nb rhl2x30naahzzher 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 attamyt6cup;- rm(ll s6e, ched to a weightless string of length L. For this system, when undergointe,mllr; ( c6-su y6mpg small oscillations

  When the mass of a simple pendulum is tripled, ca qtl( :8ddmwa)a7t3the time required for one complete vat: ac3(ad)tw8d q7lm ibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulul,j3jgbimsr vbt8,h;;qfi *; m A is twice asjr ;vibbm,3* h;j ,f;lqtgis8 heavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete va 0 t:gqmnvrq41 yz+ifejx ey-*kn7-:ibration in qt*-4rj 701 a: xf:+nnkyye vqmi-egzcreases by a factor of

  What happens to a simple pendulum's frequency if both its length and mass are ink3zjumra97mo5vl il,5( 29 d hhbe) hgcguz3( hl9r k 2m9vil 5)mej7hbod5ah, reased?

  Simple pendulum A swings back and forth at twice/t*; bq,w ouna the frequency of simple pendulumw;u/qtbo *, na B. Which statement is correct?

  If you take a given pe lp,q5sbc/a5 b1t pdp1ndulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency 1 bp/qac 5,ptdpls1 5bof the pendulum will

  Curve A in Fig. 11-1 repres9 mhkbg h,y81xents

  Curve B in Fig. 11-1 represent :r t 3/pyoi 2xqoa5;cbh4r(qjs

  Curve C in Fig. 11-1 represensdlr fbthul)x-;y w )j10oo,ce4h. d;ts

  For a forced vibration, the ampli,6 hs3mi 0tjp;rghk )gtude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibriuir6+.jlko2i t m is called the wa6tr.+iik ol j2ve's

  The distance between successive crest. sle1aaf w79k lbpo( pp8*wdq6c6mhxa6b 66ws on a wave is called the wave's

  The number of crests of a wovel aavrd3 6tw)w,ednu1fnzc 5by:5x /39 e,ave passing a point per unit time is called the wave'yrewavu6lzb 1,adn5f ,vexewnc9d 3t) 5o/ :3s

  For a wave, the frequency times the wavelengt/ s9ebgcp ea x;0o1 cd0om.7rgh is the wave's

  The frequency of a wave increases. What happens to the distance between 1lc at2 qm/yu:wrkh j.y. i(1un 9tj7xsuccessive crests if the speed remains cocyt.hr:i lk m1qt27j (/9.njwyuau 1xnstant?

  A wave moves on a string with wavelength l and frequency f. A second wave oeq,zw 1ygxrx/pb a-)5n the same string has wavelength 2l and travels withw g)y -xbe1/za5x q,pr 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. A sg aim8 w:9ngs,sh 5lxj4n y,.qtanding wave is set up. Which of the following i4wxn.9j ,,am:lgg 8nq s5hsiys true?

  A string of mass m and length Ll)t: zx;bpqyvt53/wo 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 cha)z3lbq /xt 5t yowp;v:nge in length?

  A string of mass m and ,pd4w22tsk k: p x/0r u21dsjtomzjr6length L is under tension T. The speed of a wave in the strk622t j1 td s:/ w2po0 mrdrupx4,zkjsing is v. What will 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 unde b d/h+m.0ls ik:0tap7ytqup6r 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 t 0 :+l .6quphpak0db myist7t/ension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S waveq.w/ ;fw 6caxb travels through the Earth, t/ x6fb a;qww.che relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels throughjcvyk4 2ai5qp:i v89t the Earth, the relative motionqyk 498:vvc itj2a5pi between the P wave and the particles is

  The intensity of a wavegoogw mkp81* * is

  A wave pulse traveling to the right along a thin cord reaches a f waqekr3sf ,dz*z :w7j w*d 3mqc(+(rdiscontinuity where the rope becomes thicker and heavier. What is the orieszd7q(3(+ r qda:jk c,w*fmwf z*ew3rntation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudeau4a; +lq iru, lz-i(gs pass each other on a string, one is traveling toward the right and the other toward the left. At the point that theyu(4ua+r g;al,lqi iz- occupy the same region of space at the same time

  Two wave pulses pass each other on a suskv,vj *y.y r9j*n 41g2slvotring. The one traveling toward the right has a p2 rj*us.,*g49vvny k1voj s ylositive 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 time

  Resonance in a system, such as a string fixed at both ends, occuloqj1n:,y q3drs when

  If one doubles the tension in a violin s7se+z)uctx9 tqi-;h ytring, the fundamental frequency of that stri9 uxh -st+e7)itz qcy;ng will increase by a factor of

  What is the spring constant of f og2g8b,.a:y w i/lz3f 6smrna spring that stretches 2.00 cm when a mass of 0.600 kg is suspended from ba/,2.gf3sowly 8 mzng 6:rif it?

  A mass is attached to a spring of spring constant 60 N/m along fhhkjrrej,vo2ybdi )4;:+s-a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on ths:rho+)b 24k ;ejy i,d -vfjrhe 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 amplitude?

  A mass is attached to a spring of spring conua.1hgqqag .os9)6 nmstant 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 q16o9ag.mu hg.) naqsgo. 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 alouv:(tb(t47)tuw x srh ng 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 0.50r :u)ut(t7vwt4s(bhx 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 g mkxf7 xp) th :7mc .r6+ri;db./y0zbhjzw k5ooes through 10 complete oscillations in 5.0 s. What is the x 57:p)kb 6dki7hr zj +zr/.m .0co; xwtymhfbperiod?

  A mass vibrates back and forth from the free end of an id+5g/povcp+ x e+8c:( kjbaew jeal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is ++ajc /p(:jp wvkeg+ x8boe5c the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attache8 0itah6jx.- aqdr y8ed to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion an j88h.rtx6daq0iey-a d 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 Jiwz;hy qi cf j.d()b, znm5.7l at this time. wdbl qz5 h.mjz;f,)i(y .7ni cThe mass is cut in half, and the 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 spring of spring constant 20 Nqaxrs27d5-* 21mg ots tghmx 2d q9mq7/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/srx ggmmd2qs taxd*-q72hs71 59o2 mqt at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alo5vkdekib)m t4qquo- 9unf5v;z. d ;l *k;a d2cng a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. u*b4d -uv n;5.9c;ioamzdtq efkv2d5) kql;k 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 spring conz xpd3 -8s21,1hnmx hgavqh, zstant 50 N/m and set into simple harmonic motion with an amp,pa1s, z1h-2zm8q ghv 3x hdxnlitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the endpstef : t(c3y/ of a horizontal spring of spring constant 50 N/m and set into p/3ytc s(e: ftsimple 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 f :kkfziv.6;7f f*aswkay/2 ea ree end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic eneakykf.2 w*fs :7 ;/vk f6aeiazrgy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium 65 4vwx kig7 r2 n2zvyl )bn9l+lmjah:position and released. A frequency of 4.2gvw 56yr9n4 i lbz+x)2a7lmnlhjk :v0 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 spring constant 10 N/m9-b9 -vsmb )az aepi*og7/mti co*0 ii. The object is disa g9-9ioz*i0*o/pimat-s ) mbb7v eicplaced 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. The obje+dnzkohk i9y+7m,sj ph897ymct is d+ mkn m8p9jyhzid7sh9k+ y o,7isplaced 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 si1 jt/: y zjaqwe*9 94m:huenlpring of spring constant 18 N/m, displaced slightly from its/z lyqm*i:a9ejj 9 14nutewh : equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to .gg,ykbv 8k11jt9;k n9zyry wa spring. It oscillates at a frequency of 1.27 Hz when di19,vrzy1w.g;t kk gb yyn 98kjsplaced 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 springs. Mass A vibratesa:ykehil* 5/w so70 cw 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 eak ww*/c:yls0 7 o5ihA compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibriuxyqp8g o*eox++lb.bf3vv n7 -m 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. Calculate the period of ol+vxeg .-+n3yvp*xbq7b8oof scillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches the n(hf(d/ xz a9f:j dh*a-ltz 06 7tgkmaspring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the total energy of the syst9amtl/ fzda:0 7jz(6dhfk a (ht*gx-n em.

  A 0.30-kg mass is suspe(n3 rf a gvvr,08phtj4nded on a spring. In equilibrium the mass stretches the spfvvrna 84,t3 p0jr( ghring 2.0 cm downward. 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 , ;azgjazp )5ufollowing position versus time equatgu)z 5j; a,zapion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following posi/m/td ,ikk d)ttion versus time equ mtdktk,d/i)/ ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the n3xp 1o ;85bjsm( czvzuv 9w(czcx .8mfollowing position versus time equationc58wxo1 v8 cj( vczp uzm9z;(smb3x.n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring exex:r7t+i sb 364afdaks cutes simple harmonic motion according to the etsa 4dsbrf:7 xia3k6+quation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spriir:e9 vak6q8 zng with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= qre86 kzvia9: 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 n77uple v7f7 iswings in 8.0 s. (a) What are its frequency and period on Earthl7 7 77nuifpve?

  A 3.00-kg pendulum is 28.84 m long. Wbat96d7j 7bezhat is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is itslrm; j78x6;hw pakb8s hoe7 /w length?

  The pendulum of a gran4yao0*bihf9 (3kb( mxbl bo4j dfather clock is 1.0 m long. What is its period on the Earth?hxob4bo(lia f*ky (b40m3bj 9

  The pendulum of a grandfather clock is 1.0 m n4l2 6fzlt fe)long. What is its period on the Moon where the a4 l fzf)e6ntl2cceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massles, spq 546g unq7t *;dt0 f1zj5nkffjva+u6jchs 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 j6+qut, ;gu 5 h*5ncnvza4j qt01s6pfdf7kjfmass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of 29)tt,q y7ss,qlrib xgz m*h i*/l1lda 20-g mass has initial angular displacement of 8.0e. It o9i, */zdx)b7tlq2gqh li1,sl ym rs *tscillates with 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 "snapshot" of a wavlfbia**d 6wj dz,l4d8e at a given time. The frequency of the wave is 12z*, bid* 4ajl d8wf6ld0 Hz. What is the amplitude?

  Figure 11-2 is a "snmfs26dn*s2p mp**tp4s4oty 1;qu njfapshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wavele2*o q n4n m*pp2s sdsfytpmj;ut1 4*6fngth?

  Figure 11-2 is a "snapshom(a4swn2 ng,xe g 5+not" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wav 5wnagns,gmnex 2o( +4e speed?

  What is the frequency of a wave wdm)) .p q+qzliajyjh89hb 1z4 hich has a period of 6.00 ms?

  What is the period of a wave t(mvctu r sto g31.24q /;gpg60v ndrvwith a frequency of 1500 Hz?

  What is the wave speed6yccfv9,cw -zjs q1 u6 if a wave has a frequency of 12 Hz and a wavelength of 3.0y6,fc -uqwv69zc c js1 m?

  What is the velocity omoi vh; /m0x.if a wave that has a wavelength of 3.0 m and a frequency of 12 Hzo.i m/iv x;m0h?

  What is the frequency of a 2.5 m wave trave ju:h+x7idw))l,q h arling at 1400 m/s?

  A piano string of line* ,::l 4u-*/f.auhhoeowbpdu v*r mtb ar mass density 0.0050 kg/m is under a tension of 1350 N. What is t/,* hlu:rb*4 puvo :.ubho em-*adftw he wave speed?

  A string of linear density 6.0 g/m is under a tensionq0agzv4 ), p u1.kyl9,aibhyp of 180 N. What is the velocity of propagat,yi a)ahp zbq9gv0 k.u4l1 ,pyion of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long w 6djm*03irm vqire whose total m6rqmd3*vm j0 iass 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 ;,i-ec9ur89 k1kbb ispzf6mrtransverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of this strin9rkbe9 i,;6ir- 1 8usk pzcfmbg?

  If a guitar string has a fundamental frequency of 500 Hz, which one ofvg;t5 )xsk d+fa 5d,vel 6ew;y the following frequencies can set the string into revg5dxfesk5 ea;) vwy +;6,td lsonant vibration?

  A stretched string is observed to have foy*hv r5*a8abfgl+t h: ur equal segments in a standing wave driven at a frequency of 480 Hz. 8rgvta *l 5:y+fbhah* What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at botnsm t7r*tp)f6/fj v +q ymoc5(h ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattm(vt75p6 f/tn+cyfsrjm) q *oern is to contain 4 loops?

  A string of linear density 1.5 g/m is ,pyj 3jharks,s7:w )lunder a tension of 20 N. What should its length be if its fundament r3s,7)h, :jjsalyw kpal resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass tjjsle0c 74jkf, e7m1density 2.00 g/m and length 0.600 m when it is subjec se 7jkjl4e,cmf7t1j0ted to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at a f r)6 /d3:utda y ;li4klmm+emire6 t4 kulr/idl+:mmyi3amd;)equency 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.