The time for one cyc+cxyfbap7g2(e( gi+g 1p h5oale of a periodic process is called the

  For a periodic process, the number of cycles pers fx3t -a9ey0 t l5wc0:qcan-d unit time is called the

  For vibrational motion, the max ahl; e0rq. 0jcpt.7npimum displacement from the equilibrium point is caj;tnh e 0.7rp pa0ql.clled the

  A mass on a spring undergoes Sl5p4jnoje xb5y4y ecck* 1zi;b7.2pn HM. When the mass is at its maximum displacement from equilibrium, its instabnb551y;*p.ykjonx2 ic ee47l 4zpjcntaneous velocity

  A mass on a spring undergo,;t06g8 vk lkfgcyr2mesk/ i (es SHM. When the mass passes through the equilibrium position, its instantaneous velocityt(;06 kkv,8 lrfiem2/cyggks

  A mass on a spring undergoes SHM. When the mas8e-cxj5ji wmqti7 j9 6s is at maximum displacement from e 7xt 8-j ij5wm6icqje9quilibrium, its instantaneous acceleration

  A mass is attached to a verti1uqnkadj 31)s cal spring and bobs up and down between points A and B. Where is the mass located when its kinetic energ3k q)1a1sjun dy is a minimum?

  A mass is attached to a vertical spring and bobs up and down :ni kt k5yte*1+.vpetbetween points A and B. *tvi et.nkke1 +:5tpyWhere is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring aepvz xntvs+a79nb u+ei2)1 d0nd bobs up and down between points A and B. Where is the mass located when its potential energy is a muxtp) 9 e 0+nzvd anie12v+bs7inimum?

  A mass is attached to a vertical spring and bobs up and /ip11fns on)rz y.ep3down between points A and B. Where is the mass located when its potential enerr3 zise)1n. nppo1f y/gy is a maximum?

  Doubling only the amplitude of a vibrating wz jv8skd/qjjii* .*, lxkc p6u)j -s(mass-and-spring system produces what effect on the system'sjqk jcsji)iv*-/w,d(x*8l .z ks6p j u mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produce7 r0alj .ez441ahkvbis what effect on the system's mechani4 ilaz4beakrjh. v107 cal energy?

  Doubling only the spring constant of a vibrating mass-and-spring systemjmo4n8uv1l5d b +ys m0 produces what effect on the system's mechanicaj 5mv0uso l b8m+dn1y4l energy?

  A mass oscillates on the end of a spring, both ojie dc.td eci4 bg4iaaz6 a.1*,:0vm jn Earth and on the Moon. Where is the p,be1 .a ea:dgcij.a0j 46vctm4i*idzeriod the greatest?

  Increasing the spring constant k of a mass-and-spring s/ me44 pk,cq hw;u*yoqystem causes what kind of change in the resonant frequency ofup44ykw*m;,o hqe qc/ the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring systemr /c1t ;b72nurrf7 qtc causes what kind of change in the resonant frequency of the 1 qr/rc27ruc tfn;bt7system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of cha-20dfiayae,kxa1 ) y bnge in the resonant frequency of the system? (Assume no other changedxa i0k1 ayaf )2yb,-es 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 : yl8jxjvn ,a5a5m h(lof a mass M attached to a weightless string of length L. For this system, when under aj: 8y,l 5l(v5xmjnahgoing small oscillations

  When the mass of a simple pendulum is tripled, the tic01-pr jvm4kiv7 ugrwwg 7: b(me required for one complete vibration vg:u(410kpm wb7gjc- 7r wvri

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twiccz22 a:sxxs /fe as heavy as pendulum B. What is the per:zscxfas22 /xiod of B?

  When the length of a simple pendulum iixi)xo )(i hbrm b3t/ no4ik57s tripled, the time for one complete vibration increases by o)ixo)mr(3kti57i/ n bh4bi x a factor of

  What happens to a simple 2uh(ab,px3o 9h. ,aywj+ yarj nju g64pendulum's frequency if both its length and mass are increas , yyh2(9a un6g jp joaa.+,wb3jruhx4ed?

  Simple pendulum A swings back and forth at twice the /4naj-ys-lu j0s8lkriodkt 2g3 /ssb -g3 rx.frequency of simple pendulum B. Which statem-b-4-g/j03irk82gdsn ousatl yr.kx3j l/ ss ent is correct?

  If you take a given pendulum to the Moou*7f1osou.pz d9e e)jn, where the acceleration of gravity is less than on Earth, the resonant eo*p.dj )oz7 us e1f9ufrequency of the pendulum will

  Curve A in Fig. 11-1 reprh0j09 oqw w/uoesents

  Curve B in Fig. 11-1 represefm f(o;aj;n8akhl;u7)y5u7d k al,b nnts

  Curve C in Fig. 11-1 reprebvxdg 3 1*5oqgsents

  For a forced vibration, the amplitude of vibration is found djjhn.: 2ev9larv,.vki4e 9 hto depend on the

  In a wave, the maximum d-q .-p1hggqpq7wi sd- isplacement of points of the wave from equilibrium is called thg- -pq7w.pq1s -hgdiq e wave's

  The distance between successive crests on a wave is called the wave'k9wu3 id.h;m co9hu/bs

  The number of crestssko3 x s5v-2jo4ar,dh of a wave passing a point per unit time is called the wave'sa 5so-v4x rhoks2 j,d3

  For a wave, the frequency times the wavel7xf eujg (:; noyuk0:vength is the wave's

  The frequency of a wave increases. What s avx 2y9c2bp8-80 ey-fosi iohappens to the distance between successive cre 8ypyv8s2ocei--0i 9s xbo2fa sts if the speed remains constant?

  A wave moves on a string wip*nnjp;t5w)h q a +m d6xb5/qyth wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the secondm/jyn5x*nh+qpadp56) w ; tqb wave?

  Consider a traveling wave on a strac ( f+g3(vodc q53lmling of length L, mass M, and tension T. A standing wave is set up. Which of the following v 3g 3m(f(aq cdll+5ocis true?

  A string of mass m and length L in6 wbe-l5 0l5qe;7erjy yww2g s under tension T. The speed of a wave in the string is v. What wljerl67wweew2q y0 y5n;g-b5ill 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. Tv ,-w4i;i(ab swnxur: qry 39she speed of a wave in the string is v. What will be the s,ix;vayu( sb3sinwr: -9rwq 4peed 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 lv , rugztq;3;l*z5tais under tension T. The speed of a wave in the string is v. What will be the speed of a wave in thet *lu;rzv;ga, q5z3lt string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an a 0p4 n h:fs id,8oi;6ml*ovbdnmb74kS wave travels through the Earth, the relative motion between the S wave an4s 7p:m mdoi o8vknfna 6hl4bdb;,0i* d the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave traveh3 8bk3-vtfmbvd7b;u nl x1 -8ru;nizls through the Earth, the relative motion betweend;lbvnvxnk88;i hrmz31ut7 bu b3 f -- the P wave and the particles is

  The intensity of a wave ismhxr ele::-+ o

  A wave pulse traveling to the right along a thin cord reaches a discontinuity wm ca exwx+f01uu: ) 8z;o/hjj(ja6z vohere the rope becomes thicker and heavier. What is tu w 8uj/a+x m601)oxjafoj;zzvech(:he orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amt) hd+a)r1x kcxy,nd(plitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the poinyxxhn,r ckt+)(1 a)ddt that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling to5idg z5q3i;az7 e/xpnward the right has a positive amplitude, while the one traveling toward the le75q/pnx;3iiza g d 5zeft 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 fixe 32av- fwqiif8.fkk7 hd at both ends, occurs when

  If one doubles the tension in a violin string, thqd t,bwtacgs4 lb/; b2la).l /e fundamental frequency of that string will increase by a factor, ad gwlbab/l btt.4cs2l;/q) of

  What is the spring constant of a sprsgel76nd wl, 6ing that stretches 2.00 cm when a mass of 0.600 kg is suspswd,el66 ng l7ended from it?

  A mass is attached to a spring of spring constant 60dm:64z th4m) cd o;tcd N/m along a horizontal, frictionless surface. The spring is initially stretched )mdz cctd;:46mo4hd t 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 amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a h jlgg,k 4ty-tky79r4korizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. Ir7gy-lkk gty4k 9t,j4t 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 conste, hd-w)gmf-h d)dkge q*j 2.0doue(oant 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 is the freq g,j ( gdkhde0ee w-dd.m) -oou2f*hq)uency of oscillation?

  A mass on a spring unde 05if scd96oi+c 1yh0v5oisdet ;bs4b rgoes SHM. It goes through 10 complete oscillations in 5.0 s. What is the perhssifio cos c4 bb+1 5tvd9y;06 5edi0iod?

  A mass vibrates back and forth from the free f7ku f;how u401g11k7vyo lenend 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 wgok 71;k0fvl1uhf 1 47yneo u0.30 m from its equilibrium position?

  A 0.50-kg mass is attached7ljnpmy imsk2p:r,h+ q:1sn;3zwoj/ to a spring of spring constant 20 N/m along a horizontal, frictionless su+h3j/jkysz:21 7;mri:,sw opqm lnnp rface. 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 the system?

  A mass undergoes SHM wkp57m4k yh cd+ji2 vl4ith amplitude of 4 cm. The energy is 8.0 J at this time. v i4cd 7y4mpj2kkl+h5The 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 attak-e;rk8l fwj/ched 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 equilw/j8k rfk;e-librium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a sppg-vcl 5: pz7knd4y) )k6y m7lisb,ipring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonc)4ips76 iv ,y7zk ndykl5l-b)p:mpgic motion 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 homw*zx q:5hfj.rizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is thej:xfzmq5h w*. total mechanical energy of this system?

  A 2.0-kg mass is attached to kmo w:p kogb/8e m:(lhy;h 6qdrhnh+4 /n*nz-the end of a horizontal spring of spring constant 50 N/m emhyo k;d:k4n/h8pwnq*m+bnr-6(zh l o:g/h 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 for428-n yk( b,eir6jier(sdtoz th from the free end of an ideal spring of spring constant 20.0 N/m with an ampli(inyt (e6 8ror e2k4j,-sid zbtude 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 ; 5izw tp5/mcx.)q+ vjk0mbm iits equilibrium position and released. A frequency of q+ mwixtk5m/p)cvz50. bmi;j 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 sprib,he)8) mnj1h y, gcnfng constant 10 N/m. The object isefbj1 cghy,mnnh), 8) 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 c(c1nojv+9 fox fzevpk dp 9t7i wn47/.onstant 10 N/m. The object is displacfv.v ct9 (jikn9 od x7+o4wz7/1pp enfed by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung f*td 76us/:r3 jmu tjsjrom a spring of spring constant 18 N/m, displaced slightly from its equilibrium posi smu3tu7 t*:s6r jj/djtion, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillatesb+ri8x *e/*l8 jivino at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the ei*8 *bior8xivj+n l/mass?

  Two masses, A and B, are attached to differen)3yli5h ru+eji+tx ;nt 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 maximum speed of A compare tojx;+nlihr i+e u3)t5y the maximum speed of B?

  A 0.30-kg mass is suspenlg:o;g,tp0fe1vz l8td 1ydv, ded 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 z;opdldgvgve,y0t1l8 : t1f, and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspendegf05b deaf+o: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 relead boa5gf:e+f 0sed from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. I yvvs:;kd p:iz3uwso .s /*as2)zq+va n equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distadz qa usvkva;w:vp s +o 2)siy*s:z/3.nce of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion o 97qc 1jho o)t+xe/ejtbeys the following position versus time equatio7+h /ot)tj xe jecoq91n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position vers.3g gd sscru3)fao s7 )ow+sd0+bjxt/xh:x2 dus time equation3 3s:0 ca+ sgrsu 2+wbj)d .h ofd7osxx)xdtg/:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic moti;jzc3cbymul1gz /d ; 0on obeys the following position versus time equation:l3g0m/;dc yu1cz ; jbz
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring execute 9gu0wmzkpo29nocmj3vm5zu 2+ 7gvf 1s simple harmonic motion according 9mwm mu pz3 nvoukogv50 712czf2j g9+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 with a force cfrvmt /gqz5.6o1zjj0 onstant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mazqj/6go. 0 j1f5mt zrvss 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 swings in 8.0 s. (a) What are its freq7dpjl/giv l-f- w* yo+uency and period on E+fwpy vji/-ll og7 -d*arth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on E bxdh5:itp+l- ojw,bh, x1uw,fgz;7g fo 5;kparth?

  A pendulum has a period of 2.0 s s3i dexljbzci u:8i y+u1o+f dxnv5)ey-. 51qon Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its( gwjo0q t 3/6j9mafmp period on the Eamqgjt6 fj( pm0/a 3wo9rth?

  The pendulum of a grandfather cqt3tsk. 4 vn(ylock is 1.0 m long. What is its period on the Moon where the acceleration due to gravy( n3ttkv.4qsity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-y 8vyzrlr;* 5qz 2ej7bz-m- dgkg spherical mass attached to a massless string. When the mass is displaced slightly from its e;b-8 d7rzmlyr*zjzqvgy2- e 5quilibrium 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 inif1 oqu 8hs2k lbjr, t/:hr5:ritial angular displacement of 8.0e r:qs ruhjt5hbrk1f o,2 /:8il. It oscillates 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 a given time. The fre-q7k04 jq0pjvdo f/ bhi9l-buquency of the wave is 120 Hz. What is the k o-4ibv0/l 0-jjpqbfu7 qd 9hamplitude?

  Figure 11-2 is a "snapshot" of a wave at a giva ,8jf7 dforo*en time. The frequency of the wave is 120 Hz. What is the waveleng7o a,ojr*ff8 dth?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of thsr *;w9/o j+yh4d.bj1pp icpde wave is 120 Hz. What p; 4 c/wdsj9jipory d1hb.+p*is the wave speed?

  What is the frequency of a wave which has a period of 6.00 ms?00ow3delr6gjw)w1 .,d gq t s bt,s.sg

  What is the period of a wave with a fveh2w1g4+1 wkt w sws;requency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz anme6sl2m36(kwf q q0 y0 -dtuq.jf*1vla x.bg kd a wavelength of 3.0 kl qma.2m fbeq1*vfl y 0-.xts6q kdu3j(6 0wgm?

  What is the velocity of x t--b( +8 o1jqvhylij g1x3r.1eyszza wave that has a wavelength of 3.0 m and a frequency of -hs tr.j3qyo11g e1+( ybzx8iz-j xv l12 Hz?

  What is the frequency of a 2.5 m 3se*/qy w z7 l2qu w98lw+vkgqwave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m i )oi k+uv d/q0us7yr5-dh xy;ns under a tension of 1350 N. Whhxn+-uo/k)qd uiys ;d v5yr 07at is the wave speed?

  A string of linear density 6.0 g/m is uyzid q-kq40q *nder a tension of 180 N. What is the velocity of propagd0-ikzqqy 4 *qation of transverse waves along the string?

A wave whose wavelength is 0.500 m is trav s8:raml g;:0 taganq iymx23q++n ,wx ze/b)beling down a 500 m long wire whose total mass iinzx,:ay+aglb) a2ge 3bw;8 t m/ xnm:rs0 q+qs
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 ons1 f d *ly5axy2pip 4c132fnvg a 2.0-m long string fixed at both ends is 200 m/s.2snipx c5f y dyv4lg1 2p3*f1a Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, wa7 y .dybrjk/3:gawf)hich one of the following frequencies can set the string into resonant viby wya 7)3r.jfbagdk/:ration?

  A stretched string is observed to have four equal segments 3rx5k 3foq bw r/ug,3fz z,/r5vi0adein a standing wave driven at a frequency of 480 Hz. ,q3 /5f zuroekr5bfg3zrd,3i0 /xawvWhat driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standingzipwf7di r.k**s93 md transver 7.*siikwz 3 9rddf*mpse wave pattern 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 u2 wo4vf -csql o-s1cun(;8mkb nder a tension of 20 N. What should its lenoko4b1q l8c 2cm- sfs-wu; (vngth be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass denslx*mc qtjg6 qsf06r 45ity 2.00 g/m and length 0.600 m when it is subjected to tension os4 x0*frtc6lqj6m g5 qf 50.0 N.

A string of length 2.5 m is fixed at both ends.rn3 -bny0: m5i i(.1ydn9nyp up+pbtc When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is form30ry+ tpn ibyd5 in .-upnmpn(:19yb ced.
(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.