The time for one cycle of a periodicrzo,mgopw wb:.c2vfwc*7 -g ) process is called the

  For a periodic process, the number of cycles per unit time is u9, rg5a-43kwyfntmjij ,iqx 5 (e+dw called the

  For vibrational motion, the maximum disp,z l.gu .k 6sk-ihvq,hlacement from the equilibrium point is calsk. z-g, vi 6ulhq,kh.led the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacemenjsy*jpi ra(r 0h)vy:- t from equilibrium, its ins ry(*a0)s:rvh yjpj- itantaneous velocity

  A mass on a spring undergoes SHM. Whe 6shuml,i+kw; n the mass passes through the equilibrium position, it,+6 il u;wkmshs instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacem6hy0q/ sr7pnyf9( tg kent from equil9yghyf nt/ksq6r( 70pibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and dob:6j yp:tk.r(f tl.v hza 5q4ywn between points A and B. Where is the mass located when its kinetic energy is4rf 6 yyav:p.qt:ltz5bh .(jk a minimum?

  A mass is attached to a vertical spring and bobs up and down betnve4byfg0xr 5 s98;b4 m lqqs0ween points A and B. Where is the mass located w0;m8qsbe5 rg4slnxvb4qy9f 0hen its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betwee ni14nho4)y9e m,brm (,tzhsn8 jb 0pcn points A and B. Where is the mass located when jer nyzn8)ob4bt m4 in ch0,h1m,sp9(its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pb),l/1ie mpumoints A and B. Where is the mass located when its potentia bmuip/1,me) ll energy is a maximum?

  Doubling only the amplitude of a vibrating madc+0 lgrt j,g*y yvz -**(gvwbsa;m1ess-and-spring system produces what effect on the system's mechanicaga* rytb0j*e+-,* c(vg1;w dg svymlzl energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what effec:wga u8s-;ye dt on the system's mechani:deu say;w-8gcal energy?

  Doubling only the spring constant of l95u7b4/ ieur ;afzeq a vibrating mass-and-spring system produces what effect on the system's mechani5/e br4 7eqzuu;9ailf cal energy?

  A mass oscillates on the end of a -3ky*2wzse xg spring, both on Earth and on the Moon. Where is the period the grea*x 2ywk-egs3ztest?

  Increasing the sprinu+bl 9bw c-lftc 44j.mg constant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system4.m+c 4jtb l c-l9ufbw's mass m.)

  Increasing the mass M of a marfd* cpb 1bt9w4bk/n(sooy* 6ss-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring b(b19k bdfyo4/snp o6w*rct *constant k.)

  Increasing the amplitude of a mass-and-s6 e zeq5k ,w vpwk16vpvyp0/ jc7l7cy7pring system causes what kind of change in the resonant v7k qckpwz 17y0je,ce/vl5 p7v6pyw6frequency 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 :o;hiuwj z0n:(lk:sg a mass M attached to a weightless string of length L. For this system, whe:ws(l:0hno; g zku: jin undergoing small oscillations

  When the mass of a simple pendulum is tripled,k7 3gfpg dz( v1nu4pufdf:-z, the time required for one complete(3-n4g zdzud: 1pf7fupfvgk, vibration

  Both pendulum A and B are 3.0 m long. The z-oz q)ji mk1;period of A is T. Pendulum A is twice as heavy as pendulum B. W)j;zm - 1zikoqhat is the period of B?

  When the length of a simple pendulum is tripled, the time for one compl7p,u/ t(va xe/3(dalhogp e8pete vibration increases byvh(p xlp u7a td/3egp /a,o(e8 a factor of

  What happens to a simple pendulum's frequency vp4z :3 1fa5qf j0gfyiif both its length and mass are in14qg 5:vffij azpfy30creased?

  Simple pendulum A swings back and forth at twice the frequency of simpx8j64kl;j2 r/tfqzd dsu dy+)le pendulum B. Which 4yd dqf2j)t+du6 8xzk/ljs ; rstatement is correct?

  If you take a given pendulum to the Moon, where the acce3 .wd dm,rtz-tleration of gravity is less than on Earth, the resonant frequency of td. tzd-,r tm3whe pendulum will

  Curve A in Fig. 11-1 re(7hfytsuze vg+x53x.presents

  Curve B in Fig. 11-1 rqhcacxc71 m (6epresents

  Curve C in Fig. 11-1 reprez/7gyvzpwh ;-ax20a/ s oge a4sents

  For a forced vibration, the amplitude of vibration is found k +5- wp:2on ag-ic)fj6qv;nolqiaz*to depend on the

  In a wave, the maximum displacement of points of the wave from e,( u pviudvno/k78g r5quilibrium is called the 8(k,ovuv gpun/ di75rwave's

  The distance between successive crests on a wave is called the wave'sgb jz/su2t i(5

  The number of crests of a wave pa q-:t09tr sekcssing a point per unit time is called the wave'esk:qt0 -rct9s

  For a wave, the frequency times the wavelength ; jqewf+;y9mai3l.fuo o 0s u0is the wave's

  The frequency of a wave increases. What hap:lkyy h(5ej m h 6y7q04ry1kfipens to the distance between successive crests 7hry14jikl6(qyy h y 5fk:e0mif the speed remains constant?

  A wave moves on a string with wavelength l and fim + wl l r/8a;ut5poj*rhax5-requency f. A second wave on the saraj*r5atpm l i/5 l8h wux;o-+me string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a stbof b)chx 8 4h;3vhcn)ring of length L, mass M, and tension T. A standing wave is set unh;hf)c )3xchb bo v84p. Which of the following is true?

  A string of mass m and length L is under tensi*o5h81yce dq1pes9rkvpazo) am6p 9- on T. The speed of a wave in the string is v. What will bzq pc*6av8 -eo)rpmhs d9aky 1o519pe e 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 of a wtm42w,;zwxfpuvn8 n*y+ 4mujave in the string is v. What will be the spe * 4nntmvw,zp+2y 4muxfuwj; 8ed 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 is9c (7cegje9i2tw 1av zvy 4+tc under tension T. The speed of a wave in the string is v. What will be c+ea7i 2cv g9jz e y9v4t1c(twthe speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave bisj g/pym448 is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave 4/ gp 4siy8mbjand the particles is

  In seismology, the P wave is a lo29tgdq:)eb+e,g xplvw 1z;zd ngitudinal wave. As a P wave travels through the Earth, the relative m2z1dt)+p;q edbe vg9x wgz :,lotion between the P wave and the particles is

  The intensity of a wajfcc*i44ax1owq e:/o1ig 1afve is

  A wave pulse traveling to the right along a thin cord fv+-vtk xa6(w reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflewt- xk6fvv( +acted and transmitted pulses?

  Two wave pulses with equal por +17omy7y lqvnp50h wsitive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that +h7 0novmq1w yl5py7rthey occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The 4 yq;mxkm;jo(v7ae8f7 d u8mwone traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in y8a7u m(kdmwe8 vx4m7fqoj; ;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 e0w-5 lg-hbt j3kgwq9 ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequezzzkzz ou wtw -y19e8i966qzzj q09)gncy of that string will inzq w0ut-6 wo)zz9 kzgz ye98ziqz691jcrease by a factor of

  What is the spring constant of a spring that stretchyir n )j(+i+hbes 2.00 cm when a mass of 0.600 kg is suspe)hry i( nji++bnded from it?

  A mass is attached to a spri m1*m14ok 9hlgjh7y fru*v kw8ng of spring constant 60 N/m along a horizontal, frictionless surface. The spring is vfml9gm4k1 8ykh**or hj uw17initially 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 amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, 9s+3gc mjn.ldor53rn3au 7spfrictionless 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 oscillar5mssn39d c7 anlpg3 o+ r3.juting. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m aj.6) rpejpb wse3- v0vlong 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 ppev b )-rvj.jp6w 0e3sosition when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. Ihf ii hlu16(d;t goes through 10 complete oscillations in 5.0 s. What is the d1(iiu; lhhf6 period?

  A mass vibrates back and oa9psv0 r(y3jw8s g0(j- k8c8 hibnpuforth from the free end 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 0.30 m from its equilibrium posi 9bkpv80uy-w8igh038j( ssrcj(pao ntion?

  A 0.50-kg mass is attached to a spring 9v a ,sgvhdp;fc2.-/piyp 4tk 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 energy of the systemdhg t4py,s p fvpa-2;/ kvi9.c?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 0 evml bozzk4,0sv7s:J at this time. The mass is cut in half, and the system is again set in motion with aos7m :v4zs velk00 b,zmplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring cos kyk)f6 .cpg9nstant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic.f6y gckspk )9 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 co3nji 5w6+w 2m x)3bq;lkxbmglnstant 20 N/m along a horizontal, frictionless surface.)6 j2q+wwg klimx3n5m; bl 3xb 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 energy the same?

  A 2.0-kg mass is attached to the enqn.1u0wy /2m nohj4f )srby6nd of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0mfr/0n2s wjyq6bnoyu.h 1n )4.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring const gc9s; ligm-y.ant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the totalg s9ic.-;yg lm mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spribsfcqm ;n)1x0k(xt l (ng of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating masm;qkl0c 1xs ((n txbf)s?

  The mass of a mass-and-spring system is displaced 1 .ax .6j ):3 jbh3tvp57ellrclkcp-co0 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cptl krce-: )6a c5lb3h3j..oc7lxj v pm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The objecdnk 4c o1:(zv lu+ oroga4-p-wt is displacgor + pnl1ukwc- :d vao4-z(o4ed 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 sm4 r6v.h-3kkgy(..k aojbw r3tyx z9spring of spring constant 10 N/m. The object is displaced bzab vxk643t.wkrjhygoy(3 mksr.. 9-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 sprio( ssvxsc3e t (:3,l3cj dsav/ng of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency o3e3 s(a l sos(,cjc3sx:/tvvdf its vibration?

  A mass is attached to a spring. It oscillates at a freque;1 f:0spz./t s ksxdrp ido:;ency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and soitsed0spx ::1 .pk ; d;/rfzreleased. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different spdjmd3b mya.+5ws 2rt 6rings. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and masm2+ymd5s6ar jd 3t bw.s 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 suspexkp)e +5 ta(t nc)jvp:nded on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then p tej+ t)) x:kanp(v5cpulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a sprjwec)33+ai ez7ewc1 (occwd6 bhy 3( xing. In equilibrium the mass stretches the spring 2.0 cmc7(cw i6wzhcj1ceb3a3w+x3e ey d o )( 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 susped;w*ywx w2ki8 nded 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 x ;dyiww8k* 2wcm down and released from rest. Write down its equation of motion.

  An object in simple harmon6 73uft/l lqze)wu *bkic motion obeys the following position versus time equauut 37zqk/6 e*fwll)btion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic mot(mps,z4v l p/l53 z-f c)uvyfaion obeys the following position versus time equatio4)p(3f lvpy-fs a/czvmu l,z5n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus t2 vcu5ypx: 8 yfaecwod3*t6f) ime equat6yy)f o dc*8:eu5 pfacxv3tw2 ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spr:z/l9:ppqiu3fl vf , lw v0m l4edbs-9xs7 z-zing executes simple harmonic motion accordi zlf7w lp i/u9-m9qxbf,s4v se dz:zl3l0-vp: ng 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 contidf j9,v+d*tb5n xx/ r4l* +xafg.ccstant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from r*f+clx jr.xb5dt* ,/gn xa4dc+tfi v9 est 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 t3jy-. 0vgpeo :rrh(p are its frequency and period on Earve0ppo.t: (rj -rgy3 hth?

  A 3.00-kg pendulum is 28.838oexbfty(5y d66e vl4 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its leng2baiqwfq*649z 6nt.xhv ; mcwth?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on tah6-/gp(xml . u u4 xz6t)xzqmhe Earth(uxx.4 g)6p ht 6zx-muzamq l/?

  The pendulum of a grandfather clock is 1.0e q;ry:kk68dmmbd s0 :iz g2/n m long. What is its period on the Moon where thezb06:e mmrny ;q:8 idg2ksdk/ acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum cons7+yg0 m5pz :nmgg,aqpk -d(4jheiq6 oists of a 0.25-kg spherical mass attached to a massless string. When the mass is displaced slightly from iyk6ngiqa-po ez+7g ,h(djg 05q:pm4m ts 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 angk-ru lk840xf aular displacement of 8.0e. It 8-xkak u4flr 0oscillates 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 frequency of the waj ,tv5kpzq,1ht 5 u2bgve is 120 Hz zh21pjb5k,qt v5tu,g. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequeizt g9f ei n5l(:icn03ncy of the wave is 1ii3 tg05 ze:inf c(9ln20 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenc 0(yvs lqtxo qd(q*an3; n:t)ly of the wave is 120 Hz. What is qyxl n)(; *(a:3lv0dt qoqnst the wave speed?

  What is the frequency of a wave which has a period of 6.00 9uui5 o+7e1 p eh:egqwms?

  What is the period of a wave with a frequency of 154z/md7zw6 plvh+g*c r00 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and8 ; bu8fu6 2: tjsf.e dfj/t;3mgvlryy a wavelength of 3.0 m?/fgsy je28rfv td6bu.: ;fum3ly t8 j;

  What is the velocity of a wave that has a wavelength of 3.0 mpevc -/uz9wvxe*fuk o3 e/nu+.u+bq6 and a frequency of 6xe/v pozc+u u+bn.3 q-vkue9e* w fu/12 Hz?

  What is the frequency of a 2.5 m wave travelingw 4lj nv 9j(ixyl l9,lvt7i0b. at 1400 m/s?

  A piano string of linear mass density 0.0050 1 g uafzqi;ox2./ehacz/e36qt 2prq- kg/m is under a tension of 1350 N. What is the wave sp62/ ze1tq3o2zfx rcihqpaqe;/- u.g aeed?

  A string of linear density 6.0 g/m is under a tedp56; p kkgt:onsion of 180 N. What is the velocity of propagation of transversetk:g pdop ;56k waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire wh y o/gtn;w,dm,m2 to4hose total ma/mngmyo,t dt,;4 2wohss 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 rro: ,k (vpi.wa 2.0-m long string fixed at both ends is 200 m/s. Which k rvp(o. :iw,rone of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 5009;63 9c0jnirb cpszfb Hz, which one of the following frequencies can set the stringjs r39z6bpf0cci nb9; into resonant vibration?

  A stretched string is: .kzbl;8 fckw observed to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave witz;kwlkc8 b :.fh five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with m 9 .h +m)i,s)dfcg:wprsu(m ha standing transverse wave pattern containing 3 loops. What frequency is neededm,fmrmsghh))u (idp :ws9 . c+ if the standing wave pattern is to contain 4 loops?

  A string of linear dens2w)d-aioju9 1c6a;piesi t m6ity 1.5 g/m is under a tension of 20 N. What should its length be iwta16ie us)jo 2-6dacp9 i; mif its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of su uaq(.*4-7jkk wsk plinear mass density 2.00 g/m and length 0.600 m when it is subjected to ten puq. k4(k- auswk*7jssion of 50.0 N.

A string of length 2.5 m is fixed at both ends. When ::v;anw(p )wxqeb7uv the string vibrates at a frequency of 85 Hz, a standing wave(peanwxv bquv;7 ) w:: 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.