The time for one cycle of a periodic process is ca r8 1;cw9jaxq um/(xekwgmd+,lled the

  For a periodic process, the number of cycles per unit ,e x2f:houdab(5go ,o k *e4lqtime is called the

  For vibrational motion, the maximum displacemc*v/6.w 0plm2v4m 5p dnvp fuzent from the equilibrium point is ca.2 v /pmul*dp 5pvmcz64nvw0flled the

  A mass on a spring undergoes SHM. When the mass i6dh 9-pgl:qcvfxo9s ae .2s+vs at its maximum displacement from equilibrium, its instantaneous veq lvd+ a9oe 9gv-sfx6.ch:2ps locity

  A mass on a spring undergoesy/k0zis p),s 3zo hjm. SHM. When the mass passes through the equilibrium mz jzio0 h/3y,pk)s.s position, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement fro;hul/:80ogs m)tvsz mm equilibrium, its i/osm0ltm )g:h zvs8;unstantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points Ax .gkhazh7i 3e os98w(l: tp.s and B. Wsh (pkw ei 8z3x.tg7.:haol s9here is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between poinbe8,p j6o4t53ijnj xn ts A and B. 4 nepbnit365jojx, 8j Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring aawje beieob v-3w:gr s 3qz6e)2+d3 v,nd bobs up and down between points A and B. Where is ae,-e+)d:b re3623wbvsvjg qiz e w3o the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betwamviy ewubq-54 ) 2 afo7q8ti)een points A and B. Wy-o8if2q bu)ev 5a 7w)a4qimthere is the mass located when its potential energy is a maximum?

  Doubling only the amplkkk fvp 34nxo r/.-jy1ek;xp+g3 vqv,itude of a vibrating mass-and-spring system produces what effect onk3+v;nrk.kx4qvg ek3yo, /vj1fpp -x the system's mechanical energy?

  Doubling only the masq aigu 3 byxp22kc/36fs of a vibrating mass-and-spring system produces what effect on the system's mechank x3byc 62 qpfi/g32auical energy?

  Doubling only the sprinl ,6ebt(zja i1g constant of a vibrating mass-and-spring system produces what effect on the ,biztejl (61 asystem's mechanical energy?

  A mass oscillates on the end of a spring, both on E-t.joj)f0 ;tmjey oq2qdk, ,xarth and on the Moon. Where is the period the greaj0ojm- e. q;qxto tjdky,2f ),test?

  Increasing the spring constant k of a mass-anblm ;oh1 7e8hbd-spring system causes what kind of change in the resonanhb 71oel hb;m8t frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass Mwit ;rxb ,o+gw,e,*nk of a mass-and-spring system causes what kind of change in the resonant frequency of the, ;n, ,twig *bo+rkwxe system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spwz65dz,g hqaq9lj/m )ring system causes what kind of change in the resonant frequency of the systemjqw5m,/q6h ) 9dazgl z? (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 attzyg q5oce)8n .ached to a weightless string of length L. For this syst goe8q)5ycz. nem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one com+xk,d m1gf((jl 9gb ckhid40f plete vib9 xhlbd+1kgdi(cfgjm 4k , (f0ration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendxs(t:f)qf7 ,d*uhx tml5 5tmculum A is twice as heavy as pendulum B. What is the perid,(7lfs* ux txm)ft5m:h5cqtod of B?

  When the length of a simple pendulum is tripled, the time for or g(d 2hlgcx;l+q)i1f+n2ygone complete vibration increases b()dngg+lgrf+h1 iqxlc ;yo22y a factor of

  What happens to a simple pendulum's frequency i;)pesl 3 n3kzqf both its length and mass are incren q3;) pskzl3eased?

  Simple pendulum A swings back and forth at twice the frequency of pjgbp0)/0f efsw5cc a5b f2/n simple pendulum B. Whichsfp0c)b/nw /fea25gb cjf 5p0 statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity is lw5i m88juvfbrpqe +82ess than on Ep2v8iq r88wu5jem+f barth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 re(w7l9j2(mtunv pf;jc presents

  Curve B in Fig. 11-1 repmavc /(n l xk;l77,,m4ivij ky7gk1ez resents

  Curve C in Fig. 11-1 represents5 i9(ss zg bng5.ygso4

  For a forced vibration, the amplitude of vibs0 m.cag4ddxr9 *kf/bration is found to depend on the

  In a wave, the maximum djut29w: a 28y7zin5 wc evzcb5isplacement of points of the wave from equilibrium is ca5ziayj8vct59n :bcu2 7z2wewlled the wave's

  The distance between successive crests on a wave is called the x 37c; j :vs gbg:wci8jy;gcv)wave's

  The number of crests of a wave passin bhgxdibi: z2xtl05.*w tml; j--m-zfg a point per unit time is called the wave'shl w0*mldjgm -b:.-xb z5tt 2- f;izix

  For a wave, the frequency times the wavelength is theo3slz d(0fj 4 :+lv)et/twalu wave's

  The frequency of a wave increases. What o2.da ha,a( duhv2:grhappens to the distance between successive crests if the sprh,o2dhd ua:a (va2g .eed remains constant?

  A wave moves on a string with wavelength l anr6 9q,sn d4qd.u5xqqgny1 .bpd frequency f. A second wave on the same string has wavelength 2l and travels with the same velocitr1pgqsq uxdbn .n d6.q54q9 ,yy. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and t,.ha 9qolpra22yl9 qf ension T. A standing wave is set up. Which of l.f29yaa lpq9,2roqhthe following is true?

  A string of mass m and length L is under tension T. The speed of a wave in .g9 p +)bi2nqdhu+ubathe string is v. What wilu.g2+ anp)dbi u+q 9bhl 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 d3*+ upmx-q)9nt m+q lp0ftagof a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, witm gflppq93q a-0d*+ m)+xnt uth no change in mass?

  A string of mass m and length L is under ten8mwfx yoxq +4: w:c+ersion T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the tension is increased or+x 4wwqfe:: mc+y8xto 2T?

  In seismology, the S wave is a transverse wave. As an S wave trag+y3r b c 9e;a8qdck3/y5fths vels through the Earth, the relative motion between the he;+ qdbc3rcgty/ 938 sakyf5S wave and the particles is

  In seismology, the P wave is a longi8uxvc)bj m8/itudinal wave. As a P wave travels through the Earth, the relbmxv/ j8)ic 8uative motion between the P wave and the particles is

  The intensity of a wave idr,vlqby(,hqv+ -0m.l (a)xty)dlo 9 ya eys5s

  A wave pulse traveling to the right along a thin cord reaches a discontinuitl l6et0u8lqwdz+u1 5zy where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulsl58zdqtzl06 u+w elu 1es?

  Two wave pulses with equalp)6 appl8pbdp2qfb tcl*n)*/ positive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same regiontbq8l pp* )*/nbpl6cap) df2p of space at the same time

  Two wave pulses pass each other qsz/j;o5srhj/z0 rn7, ,rm lq on a string. 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 j5,qrsn,s07; / l/zjmr o zqhrthe same region of space at the same time

  Resonance in a system, such as a string fixed at bo ad:/dzp .ojpg3x60qlth ends, occurs when

  If one doubles the tension in a violin string, the funda1v vydzph (o*(mental frequency of that string will increase by a factorph*1(z(dvvy o of

  What is the spring constant of a spri1za j 1vw.zqg eiu/bct .5/q.0cghs;cng that stretches 2.00 cm when a mass of 0.600 kg is suspended 5z/aq gcc1.etuvwc gz .qbs/j0 i.1; hfrom it?

  A mass is attached to azzughk2r k1o4kl. n*. spring of spring 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 gkz* kun4.. rzl1ogkh2 o back to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 Nm90 64rsl vvx0.,xuis wg.asc /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 equixs ,a6xcw90ms4.0 ur s .livvglibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring ofo(oz-bzm9 z jk.m/.4 j tqb/ad spring 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 when i.b ozzj.4/k-bd9aztm(m q/jot is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscill0kp 8z.t,it+e1 a9wy uyz887dwr y pbjations in 5.0 s. What is the peri+rppju wtzy7 edwz88a8i1k.,0 ty yb9od?

  A mass vibrates back and forth from the free :). mv +fuvcb kdx0pv8enaq41end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0cua fpxv qkmvn eb041 +).:8dv.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizona(:1 *uoelhfe tal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/af1 (h*eeo: lus at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm.4(ab0 c4ml 3ujy: 7sayriqmw 8 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 thcj( m4ul870s3:wiba r yaq4mye energy of the system now?

  A 0.50-kg mass is attached to a spring of spring ua5)oryz 5.z thix ,s+constant 20 N/m along a horizontal, frictionless surface. The object oscill zhoz, .5+ i)xtsyaur5ates 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 con9 aj k 9eh72rwh;zg4itstant 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 potential energya;2w hht9 49z7e ijkgr the same?

  A 2.0-kg mass is attached to the end of a horizontal spring ocwt /o4fg)miv42* bhsf spring constant 50 N/m and set into simple harmonic motion wit mw4)bhvicf ogs 24t*/h 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 ofrwfrsq 9.6qh8 spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this s q9 8.rqsrf6hwystem?

  A mass vibrates back and forth from the free end of an ideal sx c00yxt)mt/p pring of spring constant 20.0 N/m wx m/pct)yt 0x0ith 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 f37lwizefpg34ypth y ..a5 k5brom its equilibrium position and released. A frequency of.i.fg ylzkp5pwba h4t 373 ey5 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 spring constaglwaq art10 aw.uu:5 9nt 10 N/m. The object iwua0lq at 9r51w.g au:s displaced 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 objecpkq:*z3lmip /yygj: buh;v * :t is displaced y jk3u:;::hzmp *qv *blg/yipby
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 vk1o (xx.og:;)w lgus constant 18 N/m, displaced slightl:;.) 1(s wkoxoguxglv y from its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz wh8djwvi0o p)(b en displaced a distance of 2.0 cm from equilibrium and released. What is the ma)dvw80jo b pi(ximum velocity attained by the mass?

  Two masses, A and B, are attached to different spring)irbo)oi2 3pl s. Mass A vibrates with amplitudebi)) pl3oo2ir 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 B?

  A 0.30-kg mass is suspended on a spring. z up u, tjww2t 2phrkf g8j1c*1k;f6t5*zkdo,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 releas 2f*kt51p wz*,kr d t pokjujt6w,zu82gh ;fc1ed from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the d2da u3nw(rfe)(u*v s 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.w )(ad vse( *un3f2rud Calculate the total energy of the system.

  A 0.30-kg mass is suspended onforz0 pc: 7vnzhay.:3 a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distanp7z 3r0yco: anz:. vfhce of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmo 38t*j:: uqztrvh1gxgn q) js(nic motion obeys the following position versus time equat vr*jxu h)qtt8(qgsn::gj31z ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time eqq )),dn:w;rucbt/ut. amfm b.u, rdb /ucqa: t..m;wtbumn) f)ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time equfg11gb3 xh2fjea+ng+ atioj1 ++gfnega3fx1gb h2n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic mo,fzjaa+dt v/5y ow8; fhwp5a* tion accordingwf5/*,aah5 o vyfp8z d;a+ wtj 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 spring,pqis4 vo2z;eqyg5)p with a force constant of 20.0 N/m oscillates on ieqq;yzo 42p 5 gs),vpa 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 c:tm yq(6mzsc (w g-i0pomplete swings in 8.0 s. (a) What are its frequency and per sip-:(mt6z gy0qw( mciod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its perioduci)s:br+ un)c ;/5r lihxd .ujp79wi on Earth?

  A pendulum has a period of 2.0 s on Earth. What is itsz sr-hlrgd-hi w, ( rju90)4tkko6fr, length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on+voy2 k8. aomm the Eartv +ko8.m2ymo ah?

  The pendulum of a grandfather clock is 1.00hfa4ssco, z +svmy *. m long. What is its period on the Moon where the acceleration due to gc.vf a+*os,s s hmy0z4ravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless s3ddc0akr9 ntv+*z +wx 91io od)8xbnd,i7xyxtring. When thcydtnv9ni+x +k7 )roiaxd w3dbox19d, 08z x *e 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 been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angula2id;qmzn8*zz r displacement of 8.0e. It oscill8nz;i2 dq* zzmates 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 wave at aoq ki2i ()gf*a b/:6n4jcbjxqv9 fhw* given time. The frequency of the wave is 120 Hz. What is the amp fv nh*i qb/fbjjo6 wa2:i9(c *4gx)kqlitude?

  Figure 11-2 is a "snapshot" of a s t1ksw2f4js9tf: 1s 38vl9gzt5lbuwwave at a given time. The frequency of the wave is 120 Hz. What is the wavelets9 st f8j54bt s9wf3w21gluks1v:l z ngth?

  Figure 11-2 is a "snapshot" of a wave at a given t/ hxp4hy:18khavk ,:uj 8/cnhs nje n9ime. The frequency of the wave is 120 k 984j kuh:caj v n/1p hn8:y,she/nxhHz. What is the wave speed?

  What is the frequency of a wave which has a period o:g1m/ oy +ajx;kop80) yqsfw rf 6.00 ms?

  What is the period of a wave with a frequency of 1500 Hze46o,/,uwmu mv2onuo ?

  What is the wave speed if a wave -3( 4qaituls18gfq-ftox a g:has a frequency of 12 Hz and a wavelength of 3.0 g goflq(f1-t:as3a x-4qiut 8 m?

  What is the velocity of a.9j ; 3ekr7oe.yv8cs ocgtc0x wave that has a wavelength of 3.0 m and a frequency of 12 Hz?vkeo8cxs c7o 39ty er 0gc.j.;

  What is the frequency of a 2.5 m wave travels9y v9 gl6z/ufing at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension g knl.;w niy +bppuly t3x;e2j*38+srof 1350 N. What is the 3 jxs ykplier 2g+t;wu*y8 .+l;np3bnwave speed?

  A string of linear densityxl jdi3,pnl1 7 6.0 g/m is under a tension of 180 N. What is the velocity of propagationp xj3ll ,nid17 of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire who4 u(t lm3w-ewhse totaluem (hlwt- 4w3 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 of a transverse wave on a 2.0-m d6 47o;oz ajkz;ouc / rv k26zd6trlk:long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of this stru2jokkr drdk:c o46 o66; zvt/;lz az7ing?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the follok/ wwi6f+wjx+ fc 1 .he,sit(iwing frequencies can set the string into resonant vibrati ,sw+ jtkwfx1ifw6i+ic/ (he.on?

  A stretched string is observed to have four equal segments ink1c ;a*e9dz5dtlp ;ws a standing wave driven at a freq t *;k;e1dza9c sl5wdpuency 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 fr kuk5b+ ox evn:5xzzb)zjk/(j .mua 66equency of 12 Hz with a standing transverse wave patterje6u.+ (b)k6xz5k z/:uoxj5kvm azn bn 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 tensif8*-vo7d mg 4zgm(-ic jsun: /uwid w9on of 20 N. What should its length be if g:di9gsfj-4oww-*/uz( 7mund8 vimc its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear m0m-r *)v kq 86dkwrsdxass density 2.00 g/m and lengt) 0kqdd*rrwm6 svk8x- h 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string -;enb9g v ki;jb)g;:onx: u qlvibrates at a frequency of 85 Hz, a standing waveq9:e; bgol):injg - v; kb;xun 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.