The time for one cycle of a periodic process is calle5w we8lqtyy5d26 3arv -lv 2yud the

  For a periodic process, the number of cy i yuf7r3 cm5folr(*hk60p,njcles per unit time is called the

  For vibrational motion, the maximum displacement from the equibz: vumqevfn 5:(j8t*k8x ah;librium point is call5f:8xea (vkhnz8t ub:qm*vj;ed the

  A mass on a spring undergoes SHM. When the mass is at its maxim5o+v avgwtdp pr3923sj rpc *nx 1e13+m9v hcyum displacement from equilibrim2h*y rwo5 3s 1j9p vrp1pn9vxv+3ed a3gtc+cum, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through 2:x y0cw2u3tlsvljy0 the equilibrium position, its instantaneous velocit t3uwj :2y0x yv0c2slly

  A mass on a spring undergoes SHM. When the mass is at maximum displacement m9jz ,k ztrkn+6,v-gffrom equilirk,6 kmz+9gf ,t nz-vjbrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down betwe7sz fbvtq-)9e en points A and B. Where is the mass located when its kinetic energyq9e7 bs-tz vf) is a minimum?

  A mass is attached to a vertical spring and bobs up f4 .ou7 ih auk*c7uwwee( 36rcand down between points A and B. Where is the mass located when it4c (rk7 ica*e .e6w3fu7uwu ohs kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs uz6qb09xbl ;cuals :z)m 3q; cpp and down between points A and B. Where is the mass located when its potential energy i 6m)l9ucb ;bxq;alpcz0z3qs:s a minimum?

  A mass is attached to a vertical spring and bobs up and down b (rm .dg6ad1o sl,cf dit8qxk+ih)7a*etween points A and B. Where is the mass located when its potent6,dd dqrfhk.(m*8a+sx aco7 ii tg1l)ial energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring sysqvw,wlw-m g. ,tem produces what effect on the system's mechanical energy. wg- qm,vlw,w?

  Doubling only the mass of a vibrating mass-and-spring system producc*ejajia i s (c/un-34es what effect on thcj(a4/eju c-3 ias*n ie system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-andvwcpjcp ::-6lw:4 rol -spring system produces w: 4roc:-pcj:lplv6w what effect on the system's mechanical energy?

  A mass oscillates on the end ofzwhy0od44 ,c (9 h/wyfkcyx4w a spring, both on Earth and on the Moon. Where is the periodhxyw/44,fk woyy h4(0wdc 9cz the greatest?

  Increasing the spring constant k of a mass-and-spring system cce.qi:*acpo (, mc: ogauses what kind of change in the resonant frequency e,amocc oq: :g*ip .c(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 ciccsic-y7 a:* hange in the resonant frequency of the system? (Assc-is *i:ca y7cume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sms 2q4zjpa k10pring system causes what kind of change in the resonant frequencyp0m1 k4j2szqa of the system? (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 attached to a nnb-* wmhbx9wdg; g9 +weightless string of length L. For this system, whenn;bn*wd9 +gm b-wh9 gx undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time requir0va0 clw .ecr+ed for one complete vibratioewc+a vrcl0. 0n

  Both pendulum A and B are 3.0 m long. The l(yk a ak40l/xqhzj2;*q k aa,period of A is T. Pendulum A is twice as heavy as pendulum B. What is the period ofly0ak ,(hla; 24k/k zq *jqxaa B?

  When the length of a simple pendulum is trilibj0oa 9h gmd -5i1o0pled, the time for one complete vibration increases by a factor o0j5i h1-lbdmig0 a o9of

  What happens to a simple pendulum's frequency if both its length and ma;cu*a6 catv*nss are increased?uva ta6* c*c;n

  Simple pendulum A swings back and forth at twic1i9a4 yvd4z32m dls evmkq:b)e the frequency of simple pendulum B. Which statement i lsm44ei 2vq) amy3vkd d1:zb9s correct?

  If you take a given po 6xk.qnvw ,,a g;kpeg ler:;1endulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant fr;n: voew,6ggx 1.q a; rpkkle,equency of the pendulum will

  Curve A in Fig. 11-1 represents qv8bhs2q ym*;hkxip 2zn :a16

  Curve B in Fig. 11-1 r2jh t( ; y1 mr -+rh0igfuedy7lca;ps(epresents

  Curve C in Fig. 11-1 repref9ux0 7x7 zrolsents

  For a forced vibration, the am;caxj70j lr k9h d8xfufs(0e(plitude of vibration is found to depend on the

  In a wave, the maximum displacement of zh09,s)nyc6ms/n)o:hy i6+(et hi ef rq bz.zpoints of the wave from equilibrium is called the wav:, hhtor90yiynzfc( 6be/mi+e sz) ) n6zs.h qe's

  The distance between succa w oj9zt mu6f/,mga21essive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the wavea;vak (jtzom8 5m u2f:'afa:mt z8;m5vk(2ojus

  For a wave, the frequency times the wavell -h9tf q*v7leength is the wave's

  The frequency of a wave increases.dg6 ,z/cfy0uv dqp:8j What happens to the distance between successive crests if the/ pdu,jgzydc qf8v6:0 speed remains constant?

  A wave moves on a string witu: ma)6,hwqutr5a z8b h wavelength l and frequency f. A second wave on the s5)ruaa:86bw thmqzu, ame string has wavelength 2l and travels with 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. k; aa.+x0ealv A standinga0 l;ex.+v aak wave 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 x*r6jex7qpctnq;*n; / 8dfwr wave in the string is v. What will be the speed of a wave in the string if the mass of the striw*x d 7rq8nct 6n*xq;rpf;/e jng is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The slqwidb8i * .zey, hsr:* h(ad/c2 ufu5peed of a wave in the string is vh.*r 5ea2c uli( f: d/dq hu,bz8w*isy. 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 und-1vop.m;wdelrvc )dof/3le (er 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 tension is in me;.c1edplf) vwl- /rdov (3ocreased to 2T?

  In seismology, the S wave is a transverse6s*h) j//t* w kc*o3v ymezlrd wave. As an S wave travels through the Earth, the relative motion between6lk /zv*/ )yrsthmwo c**je d3 the S wave and the particles is

  In seismology, the P wave is a longitudin2gg o/fz( h05l yna7gg32ri+k,innzhal wave. As a P wave travels through the Earth, the relative motion between the P wave and the particle/no5k73n2hi (i2 ygflgh gzr0 gz,+nas is

  The intensity of a wavehtf*rv 1i 1db* is

  A wave pulse traveling to the right along a thin cord reaches a discontin m8bk7i3 ,,,3xpfuiseej e lq3uity where the rope becomes thicker 7jlqu83e3 iefxsmpe 3,,ki,band heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pk*unnq s0(dii.w- d9bass each other on a string, one is traveling toward unn(9i*- dwsdi b.k0 qthe right and the other toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling toward the righf6 k fx,e+yt83a orfvn;03ojyt has a positive amplitude, while the one traveling toward tfokyn ojxve;,3y6+ ra fft3 08he 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, suchwu :alu82z7r: qgm wt7 as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, th*: vbdd75r bgxe fundamental frequency of that string will increase by a factor ogdr:b7v x 5*bdf

  What is the spring constant of a spring that stretches h) 80t d m2ep1zrlz)th2.00 cm when a mass of 0.600 kg zz)2 th )tm1e8l p0hdris suspended from it?

  A mass is attached to a spring of spring consbn6e .*xwt9, omemm9n tant 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 takotnb en9,9emxw6*mm. es 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 hor 9eg)f0ezfe/fqn 0 7gaizontal, 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 isfn 9f07q /eafe )0eggz oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizontalr2j tw81y max*, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes tht8my1jwr 2*xa e mass 0.50 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 goes through 10 complvq5r xfw7gok 4leyog) j:q8.,ete oscillations in 5.0 s. What iox)l7,e o8 y:kw fqgj5. vr4gqs the period?

  A mass vibrates back and forth frofcbe xe-4 0v1o/ jc6vvm the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the -cb64e o/10x efv vcjvkinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m a14xs pqke/x8w vauxu (go84 0vlong a horizontal, u xa8g04x8k4 / pvo( ewsvxq1ufrictionless 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 energy of the system?

  A mass undergoes SHM with amplitude ojt.:l3ljwkrxo m-*qju hw /) +f 4 cm. 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 the enekw ).u- /3:h*o jjljr xwmlt+qrgy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20sph)4 vawx(8 d N/m along a horizontal, frictionless surface. The objewxas d)4vhp8( ct 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 attached tbm9r- i05 pjak90 h5xkb(zme 08rqhtko a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has 50br 59k bhr0z keam8t-kij pxm 09(hqa 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 attache/g,g9nj jwt 338 nv1phcq ii7ld to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an ampliiwijlv8 qcn/,gjth1379np 3gtude 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 p * qag fc-kv2)+3ybfzspring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the totavfg )3fp+ -b2czyqk *al mechanical energy of this system?

  A mass vibrates back and forth from the free end o 36g.ig5ctjn,cli ws1 8 2nza(sf:bxzf an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What lags tnfw x6 sc 21.53:8,cizib jgn(zis the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its -70 rvf7jf o4bi+f rc,vboc*xequilibrium positionvx7ib7 jv,o+0rb f4 *-ff croc and released. A frequency of 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 attac i6imt,wv3 .zlhed to a spring of spring constant 10 N/m. The object is disp3,.t lvi z6mwilaced 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 of49zvt5b n oa+zbeo :7h spring constant 10 N/m. The object is displaced b eohznv 7b o59tza:4b+y
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 18xbm7cf oc4: j+ N/m, displaced slightly from its efm cj4+ocx7:b quilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It (b1pau hg:0jy*ni:sc oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium andpji u gc sby*:hn(a:01 released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached r4z4qoj, ig:xj6s2l5w f ji9zto different 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 s4zxj25gzj49ql 6if ,s iwr: ojpeed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibriupr:t a.i d:2 +mhwqes3m the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from3rqhws ati+em d:2p:. rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium3.h)lru+ rio m the mass stretches the sprurio+.rl3 m)h ing 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 system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretch42sr a) see8wfes the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write doweaws) e2f4 rs8n its equation of motion.

  An object in simple hajxbl 7ln:/z9dztd ez(;84c xfrmonic motion obeys the following position versus time equat(/ 4n9 tll zedjbdzx8 :7fxz;cion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following 02p bus0sau1b*hn5ou position versus time equation:0b1*u2aohusbp0 snu 5
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time eqw, x4x2rb kqqe(5c.d xuationx,cq x5dqwe.rxb4(2 k:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a kkt bepk2l x5 )9cl6c-b2k4vs 4 9)windzb5pq spring executes simple harmonic motion according to t x-vps9b5kb p4kk)296qndiw elc k2bz ct5) l4he 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 constant of 20.0 htv.h mu:1;it 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 stretched by 10hh:itut m;1.v .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 itsie 9*o32zunm s q4tiw/ frequency and pere n mwus 24*tqi/3izo9iod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is u sxua9s j0 ;c;gx)u-iits period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lna9 b; l:;tzmmength?

  The pendulum of a grandfathe6u +,xjf xbu-er clock is 1.0 m long. What is its period on the Earthux-x,+f6j bue?

  The pendulum of a grandfather clock is 1.0 m long. What is its perio2sifgw9/ aq9m d on the Moon where the acceleration due to gravity is w9m/2 s9g qafionly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massljb7lne5 gdm99g*zhp(ess 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 ha7mlgd( gpnj9 *e5bz9hve 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 angular s , tdtwqx 4jlhrqozt++7q 232displacement of 8.03,t4rt+ hqjqd+w s227xqtz ole. 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 26+4ktax vken s 80nsthz(oe/wave at a given time. The frequency of the wave is 120 Hhztvkskx 6 n2(4o8a/ee 0snt+z. What is the amplitude?

  Figure 11-2 is a "snapshot" of a9j (z,lblzy+l hb,w fxe4cn25/ +y tgx wave at a given time. The frequency of the wave is 120 Hz. What is the zby5cg/ +yzx9(jll wt,e+4 ,nf x bhl2wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the warhaj g*:v njb- 1rdv)uag;16ovv): rg1bh16n-vr*aa jojgu;d e is 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00 ms?rybg ;j11 (x,h;/mfya 8ek-sl v l;hzb

  What is the period of a wave with a frequency o(f,y.sl4wkfs7gyox h5 xn 4d-f 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz a9(csy sc 2cb3snd a wavelength of 3.0 m(y9cb2scc s s3?

  What is the velocity of a wave th7;gicyc6 da*xvkdeog:s6,h eorl /9 -at has a wavelength of 3.0 m and a frequency of 12-6 oo6/c s, v7eghrkegcd*i;9: xlad y Hz?

  What is the frequency of a 2.5 m wave trj -szirtb )-+paveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/mi71rzcr6 rf 1ptw 2bi0 is under a tension of 1350 N. What is the 0bc7rz2i w rrf16 tpi1wave speed?

  A string of linear density 6.0 g/m is und y)3mux i8r uhpwi4;r8er a tension of 180 N. What is the velocity of propagation of transverse waves along the styx3h;8p rwu)8irum4iring?

A wave whose wavelength is 0.eoo if.4n +tbii0 b,wo(vx e(+500 m is traveling down a 500 m long wire whose tot.i+v,b4 oeofew +o0t( b i(ixnal 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 propam-o4;( jm uhfygation of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a reson(4j yf u;-mmohant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the mt (9km9omwjc( m)k sn+k djz11y5r:f following frequencies can set t1trsk(:mwzfn9c+o 9 km1ym kjd jm)5 (he string into resonant vibration?

  A stretched string is observed to have four equal segments in a sa 6 s76wtc;vqvtanding wave driven at a frequency of 480 Hz. What driving frequency will v ;c6wasvq7t6 set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequen,-jpqsm-9 gsi46n tpwcy of 12 Hz with a standing transverse wave mstp-9p,-jn4iq6wgs 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 tension of 20 N. What should i 1m;l eogd1po.ts length bop; l.gd11 moee if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/a37l1,lt; f*s bjklyp m and length 0.600 m when it iskl71st 3jyp,* b fll;a subjected to tension of 50.0 N.

A string of length 2.5 m is n6o 72k5f eisg-j7p ur k:ti;pfixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is formej:sri 7tgpkf 5e-oi27 n;p 6ukd.
(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.