The time for one cycle of a periodic process dj2up8z+c992c uf47uzvf 8:abez84 l naqylx is called the

  For a periodic process, the number of cycles per unit time xt( hhms1 t0:fis called the

  For vibrational motion, the maxiqwe 22nxy3ds, 0c1icga4q 2 dvmum displacement from the equilibrium point is called t2a 3yevc21x qdg, cn024qwd sihe

  A mass on a spring undergoes SHM. When the masfmfv+ibuz0h ;.a( v;ds is at its maximum displacement from equilibrium, its instantaneouvf0u+.bmzid;f ;v a (hs velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibrium1yol ;i: w+hig position, its instantaneous velocity yhw1ig:;oi+ l

  A mass on a spring undergoes SHM.sxim(kb:;+ e6otob s4 When the mass is at maximum displacement from equilibrium, its instanots6 si4m (:;ebx ob+ktaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points lv5ll+xw ,z.j c+a*l eA and B. Where is the mass located when its kinetic energy is a minimumjz*v.wl lx+ 5alce l+,?

  A mass is attached to a vertical spring and bobs up and dowrm0 ;msu ba ,t;fkb(p- (:1ksi6 o tb5ak:eukxn between points A and B. Where is the mass located when its kinetic energy is a ::s(s fke(5muk ;b-o1mb6 t;,bp taxkrai 0kumaximum?

  A mass is attached to a vertical spring and bobs up and down between pqop3xe *-gv ko6xm1)boints A and B. Where is the mass located when its potential energy is a mi1 o opv) xb6xqgk3e-m*nimum?

  A mass is attached to a vertical spring and bobs up and down between poz53pyf ;r f1ay wubo/1ints A and B. Where is the mass located when its potential energy is a maxoyf yw3f;b1/ruaz5p 1 imum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces what zlms195i j/x 3d v,9zp0ywf 9sb ;irfn 8;fksfeffect on the systeb91wsf sl r8;mny pzfj5093;k9if/,zifx sdvm's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring s5p.qjoqnrh5 - j+ks 9dystem produces what effect on the system's mechan5 59 -p jrqs+hk.jnqdoical energy?

  Doubling only the spring constant of a vibrating mass-afqabw3g; zn88powz*v(7ad *gnd-spring system produces what effect on thq a(bngd8wzg 7w*pa;ofv3*z8 e system's mechanical energy?

  A mass oscillates on the end of a spring, botdsqv.z7ap ,rt g8g,. c9v 7x; wylasj6h on Earth and on the Moon. Where is v6d c .a y77z8p .atlxs,vqr ,ggjws9;the period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kind 2 f9l (ak(e9c9ejuxdhof change in the resonant frequency ofk9l9c9eje(a hxu2 d(f the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-ad )saye2 *sm*(a+sv gyto w-4g4 +dnjqnd-spring system causes what kind of change in the resonant frequency ofa(eogqmsy 4 dg2w d*s* +y4+nsv-ta)j the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a massl 4iwcjxmx0 (2-and-spring system causes what kind of change in the resonant frequency of the system? (Assume 4ml 0 w2x(ijcxno 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 string of lenbr 9nbjcq 6jk+7 . .6nhqho/zhgth L. Forj6bcjh r9 . n.+ k/qhnq67bzho this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, ts gnf+t;4/q owve (i/*3gr amehe time required for one complete *twmq oa( +4gneisgrfe; v/ 3/vibration

  Both pendulum A and B are 3.0 m long. The period;xzky i8va2s/pb38 g. myp+h o of A is T. Pendulum A is twice as heavy as pendulum B. /sbxmv gp8.; pyio8h 2 z3yak+What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vm , zs*c5xszfa/; r3hw*ex(se wtd 3c7ibration increases by a(mwsa3,xx r3f5 7t z/*hwcsz; d c*ees factor of

  What happens to a simple pendulum's frequency if b k:*o5fc3loh zoth its length and mass are in :h oo35kl*zfccreased?

  Simple pendulum A swings back and forth at twice the frehd j )e(r/(d9nvef8kr56pduyf o *zo9quency of simple pendulum Bde nf9hrpo 9v zu) 86d o*(yr(dk5fje/. Which statement is correct?

  If you take a given pendulum to the Moon, wher0t-j* gos bsf5e the acceleration of gravity is less than on Ear ojfsb-5*g0st th, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 fz(4+ cfa30vjtyrm9 brepresents

  Curve B in Fig. 11-1 reprer ylza )y4gw:9p2u (u/o;dfrssents

  Curve C in Fig. 11-1 representv3 e.x)ybwzbcv h 1kq(3u 6pk/s

  For a forced vibration, the amplitude of vibration is foxnwe -c hno7me/-/zi4) rccr 5und to depend on the

  In a wave, the maximum displacement of points of the wave fre5 odlxf 9)w8nom equilibrium is called the wavenx)8do59lef w 's

  The distance between successive cres id*i h93td.3n- ji: w,a/vdxty2fyhqts on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is p9z)ib/ m7dxycalled the wave's/iypz x)b9dm7

  For a wave, the frequency times the wavelengt .sgldx 19us+/9l28ij u iswuuh is the wave's

  The frequency of a wave increases. What happens to the dist6 aoidgsw .vkm 8:hd8-ance between successive crests if the speed r k8 a :-ms8ohgdiv6w.demains constant?

  A wave moves on a string witvfi )cb0xz 0wd; th:znhl)./uh wavelength l and frequency f. A second wave on the same string ha ;)b htwvx) fnzudz:i0c.l 0/hs wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string pfmpyt9yy2y2w188g r of length L, mass M, and tension T. A standing g9 8pypw8 yf2yt mry21wave 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 waven h1ddxs21q3aitq7( qqxn4rm/ 9 uw2 e 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 q 4ux9ni1ea3hq 2qw/qsntm2(7 1dd rxno change in length?

  A string of mass m and 4 uqvke3tta-5length L is under tension T. The speed of a wave in the string is v. What will v u3tq-aek 5t4be 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 speedtoc*b7)ol.za ,)s*p9. si qnz cyk4rf of a wave in the string nrcpz)asbsoyz4*q t,i 9.)l.7* cok fis 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 transverse wave. As an S wave traveg)ssd t k+6,whbl:v8-nirb ;mls through the Earth, the relative motion between the S wave and the particles i vbdrib8 6s,);s m-knwlgt:h+ s

  In seismology, the P wave is a longitudb n)hz vw*xm569-mzsxf m 1v4vinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the particlesh-4f b6* 1)m 5vxz xwmmznvsv9 is

  The intensity of a wavej. 8qpdnbis4+kil t74 is

  A wave pulse traveling to the right along a thin cord reachd)yz +mj- 2bdzes a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected anddd2b+j- yzz)m transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string4a0 c:fpvy*s q, one is traveling toward the right and the other toward the left. At the point that theq*0y:c fs a4pvy occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling torulif 0,p.2 pb g-5sedward 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 0p 2.,b-liudsp frg5esame time

  Resonance in a system, suchc)/pwou k +:gkui)l.*:f qf jz as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string,hyi :pay-5,y mx-/ kxocb )f:s the fundamental frequency of that string will inch-opm5kcx bas:, y):x /-iyf yrease by a factor of

  What is the spring constant of a spring that stretches 2.00 cn4,3xfx utr7vm when a mass of 0.600 kg is suspended fro4,ftvxn3u rx7m it?

  A mass is attached to a spring of spring constant 60 N/m along i7s:ztazd8)iw )0tu4wa sns4 a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass anits) 4s0uaws8 7)4dw:iantzzd 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 mp7:c:b yhb n*60gqjpof spring constant 60 N/m along a horizontal, frictionless surface. The spring is initiq 0g:c*p67 h ybnbm:pjally 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 spring constant 60 N/m along a zg v5l;z1 ow8dyghc6(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 equi6ly c5zodvg 8(g1;zhw librium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes t2vag2e9ilu +0 xqfkk; hrough 10 complete oscillations in 5.0 s. What is th+kk val2f9g0xe; q2u ie period?

  A mass vibrates back and forth from the free end of an ideal spring of sprixj1hsh6g9 d/ing constant 20 N/m with anshi dxg1h6 /j9 amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attachek6 p*qj2u: sojd 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. What is the total energ*ok sq2u6j: pjy of the system?

  A mass undergoes SHM with amplitude of it27q vr:qfn: 5n)65b f,zpgazgz w9mi -au)z4 cm. The energy is 8.0 J at this time. Then ::ivqmg)q-bz5tz)r7z a uf w f96p2igna,z5 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 N/m along a hat, vkrxe h )mffw1i ;b02+k*horizontal, frictionless surface. The object oscillates in si, fk;*kxr vbh2m+1t if0we )hample 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 to30r6)egu6p pik hp :um9r fd7w a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscill e)pwhd pu9730p:rmg6ukri6fates 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 energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of sprewc)+ rp i2+a cxt,h.king constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the r,).hx++akip wc c2 ettotal mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spriya 2)ya3 kg wxk rbr)kpd4-.x2ng of spring constant 50 N/m and set into sim)yrr-)y4 b.w kkd2axa 3xpg k2ple 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 o m*ba-m;u4g)zpxfud fbz(71d )da0yz f spring consta *-mdg)mfuaz y4b7afuxz10zd ( )bp d;nt 20.0 N/m 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 equilib 30i(cq3ajyhfrium position and released. A frequency of 4.0 a0fh j(iy33qc 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 s.sazsybw/;x2wuwz p2.s k(ii24yg0dpring of spring constant 10 N/m. The object is dzg i4isk. x(2wd 2y 2;w.psa/sbz wy0uisplaced 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 jfy/l-zds4/0 5v4hz8 buc )wn d vykt+10 N/m. The object is displ znf 5 /byuydcz8vdks4/)4hvjw-t+ l0 aced 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/ik x ds( ;)nm )w10pbgokxzo7 18 N/m, displaced slightly from its equilibrium posik7b ow)n0/z;xkmgios( dp )1xtion, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency/eo(7rmrl ;x nan6abm b r9 9op8oe)(r of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity att9 e7(pr br nareb;o)om89rm(/alx no6ained by the mass?

  Two masses, A and B, are attached to different springs. Mnxz voxiqs(k5e96z/.k x e.k; ass A vibrates with amplitu6ez9(zi5ks. vo e . k;xnxqk/xde 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. 1bwk ;r s+we ao+in/7hIn 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 from rest. Calculaw+ e7+a/;k1rhwo nbis te the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretw n ums4z9f33s8)b:q a7qxdviches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and rele9zx8nsdv 7bm w4a)qu3 sf3qi:ased from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In.m9 eo)q 9isgiz1/96f jcmkqb equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pullesq i 6oc/j9 ki)mqz.fbem9g 91d 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 the444n yxzs h8ry following position versus time equati 84x44yhnzr yson:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following c : gaibc /7ogskt06w4position versus time equatio:/07 otggwsc 6kcba4i n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the fo :, 9mrabv1m48q4 a fbpvp5dzullowing position versus time equationbua954p1 vfm p:d4mar q8v,zb:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simpa8l;ox pjg.qpx, cuay.2ilao 6 ,cc+zgzl3; 4le harmonic motion according to th2 c3za lq6pc,uxz ,l.+c.ooj gp8i4a gy l;ax;e 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 attacheizepnwjbr2 * c )v)+/yd to spring 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 stretch2) nzew vic* /b)yp+jred 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) Wh0 i 1j xj,*y*zpt-mbqqat are its frequency and peri * qjpjqyz*im,tx-1b 0od on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Ear6lv *c z3vny.zth?

  A pendulum has a period of 2.0 s on Earth. What is itsal stou q( -ee;pr*w48 length?

  The pendulum of a grandfather cloc;,gu4.-a .:aso;p 4d lzftoyfx yty r)k is 1.0 m long. What is its period on the Earthr .xy-o4oy u;fa)tl: 4.zgy,;spt daf?

  The pendulum of a grandfather clock is 1 wh1y+ qcx7wskgq1 96t.0 m long. What is its period on the Moon whxgyqc 1+tk9w 1 s6hqw7ere the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a *lbbg huijai3)z;sim k:4ui( ur+ 3c: massless string. When the mass mhz;+u i g:)au *rkcb3u( sjiibl4:3 iis 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 ha/9t.f n1 5qjk yfj5,0f wtxfet;rr)my s initial angular displacement of 8.0e. It osciftwk5x0;1jtjm9er)fyt 5yf/rqf .n,llates 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 "snapshotcptrp9f +fwz9/h g 5 pw2alk16ii,sa0" of a wave at a given time. The frequency of the wave is 120 Hz. What is the amplitude?swc +pp k,i9wf 2rpl19z56atfgi/h0 a

  Figure 11-2 is a "snapshot" of a wave at a given time.(c r6: wlg ssp5/kph5n The frequency of the wave is : swsrhp6nkl5/c5 g(p120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" ob; o*xuh g:;yof a wave at a given time. The frequency of the wave is ;oyu:*bohx ;g120 Hz. What is the wave speed?

  What is the frequency of a wave which has a ua zul-b1v* 0wperiod of 6.00 ms?

  What is the period of a wave witjkk .6mg32xssh a frequency of 1500 Hz?

  What is the wave spee/6abn2 x q2pb rta 7muj3n7/ild if a wave has a frequency of 12 Hz and a wavelength of 3.0 7 7ltin3xa a/6u/22rmbbqjpn m?

  What is the velocity of a wa;s:kzzn111pp s xm1 vwve that has a wavelength of 3.0 m and a frequency of:1z1v wxsk p n;11smpz 12 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 27.s y s-h /o0xmabjrnm/s?

  A piano string of linear mass density 0.0050 kg/m zz4syd5lk46bis under a tension of 1350 N. What is the wav slkzybzd464 5e speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is-8ba+5wwo ae r1isto9yz u7*x the velocity of propagation of transverse waves -owsy r*7ou5tbxea 1+a8i9wz along the string?

A wave whose wavelength is 0.k- p4njeumg: wsm2( yq4x-4fc 500 m is traveling down a 500 m long wire whose total mass i wmyp442cuxjqg emk(n 4f--s:s
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 transversejii5omgj if o*w8f zv8- 7yc.p-y* nfgm:pw( 7 wave on a 2.0-m long string fixed at both ends is 200 m/s. Which fpzjwg- .i:85m(io **7mywcofy-f 8gip v7njone of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental f7q-k;e*tlfz f o.vxy5requency of 500 Hz, which one of the following frequencies can se5y7;-v xkzf*q.olft et the string into resonant vibration?

  A stretched string is observed to have four equalsqwte- (lz;e).pd i1j segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with fd1jez.pi ;q(e t lsw)-ive equal segments?

  A string, fixed at both ends3 f7p r0fi-wnm, vibrates at a frequency of 12 Hz with a standing transv rmn7 3f-piw0ferse 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 under a tensi.x1+vlp gx +xyon of 20 N. What should its length be if its fundamental reso +p xvxygx+1l.nance frequency is 220 Hz?

  Find the first three harmonics of a string ofd7sg 2: q0mq ;fz) yo0kj7fzgy linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50kzjmfg7zgqq 0)y7y;2 o0 :fsd.0 N.

A string of length 2.5zv /z:2e(qxdj1g (ni-av-ol u m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops xizz -(vu(1jaon l d -2e/:qgvis 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.