The time for one cycle of a periodic process isoh9vkoh i:/x gv-( q7z called the

  For a periodic process, the number of cycles per unit ti ir5-hf cczv9wr3: v-4evxra0me is called the

  For vibrational motion, the maximum displacement from ar280 flfm ,mfthe equilibrium point is called f8lm2a fm ,fr0the

  A mass on a spring undergoes SHM. wm *f mvl z89c+mg+dv1 When the mass is at its maximum displacement from equilibrium, itsvg dm+9l+ mc* f81wvzm instantaneous velocity

  A mass on a spring undergoes SHM. When the mass pas;x isy 35vaa8pses through the equilibrium position, its instantaneous veloa ys3ip58xa;v city

  A mass on a spring undergoes SHM. When the mass is at maximum displacthk-y o34c v;enj7dd d8o5c9k ement from equilibrium, its instantaneok8o57v o; y4ejhc9dc3-dtknd us acceleration

  A mass is attached to a vertical spring and bobs up and down betw53y gl i;u-m/fyb eotv868 hwlo)jg 2yeen points A and B. Where is the mass located when its kinetic en2i yl8hmueot6 -b8wyoy gj/l;)vf53gergy is a minimum?

  A mass is attached to a vertical spring and bobs up a2fa fzvybdw w+1 a3b7*nd down between points A and B.bb*fw+ydf 17w a2 3azv Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betwezs4-lt 5 m+rncen points A and B. Where is the mass located when its potentia5zn4+c t rl-sml energy is a minimum?

  A mass is attached to5mi ztl7aaulsw:: 02c58f qrk a vertical spring and bobs up and down between points A and B. Where is the mass located when its potent :sw08qmf2 tczar5 5ilk7u:la ial energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spr+e qo(6e.zyj s 38ff71kjndcsd )c5y ying system produces what effect on the6o3+edf.j 7f nz ekc d5 )yssy8c1qjy( system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces wh44q1bi4ft-4wkm 5t dc ep+ abhat effect on the system's mechanic4w44bmce1ta- ib t4f+ph 5qkdal energy?

  Doubling only the sprm 9q;m u vapxd:9oich,1gkw;4ing constant of a vibrating mass-and-spring system produces whu94v: 1m,om;d;ig9 ha x wcpqkat effect on the system's mechanical energy?

  A mass oscillates on the end of u,eicm ch .,6+ vxf gv23iqw7nwsh,d9 a spring, both on Earth and on the Moon. Where i hx9,w3e+ncivsm,i7qv ,fdwgc 6h2. us the period the greatest?

  Increasing the spring constant k of adak, o asus*(v ..i4td mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no4*dvka ua( o s.t,i.sd change in the system's mass m.)

  Increasing the mass M of a mass-oy: 8mlj 09b,g rw:wmwand-spring system causes what kind of change in the rm8ojly ::bw0gwwr,9m esonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-ands*)tvh 8vcr2xa: arf7z9ki y9-spring system causes what kind of change in the resonant frequency of the system? (Assume no otktyv*fxsr r9izv)h89aa 2 c: 7her 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 leb p) og;)uz7veaot0 (o/dm3q ength L. For this system, when underedzboa(uvoo 3q;) tme/ )0p7ggoing small oscillations

  When the mass of a simple pendulum is tro fyqk:wt;tlw:+*zh 6ipled, the time required for one complete vibrkt*w:;+:wzyqh 6 lof tation

  Both pendulum A and B are 3.0 m long. The period of A is T. Pe2j8hixj(q q2aq /ur/u ndulum A is twice as heavja rji/qq (xqh2uu/82 y as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vibra87yqoznm2r6qcr e1* ution increases by a factor *n827uqe 1 rmrqzoy6cof

  What happens to a simple pendulum's frequency if both its length and mass crv tb4vx5vhazc98u 24 vy7a:are increasedtu5:v9bv2r a8v yhva4 7cxcz4 ?

  Simple pendulum A swings back ang8gpwb ol;tn9*av68tz t h*0x.eml2 cd forth at twice the frequency of simple pendulum B. Which statement is co 6xw;z*nl2mp8*9oleg httab g 80v t.crrect?

  If you take a given pendulum to the Moon, where the acceleration of gravmv:+pot+2q ko1;we*x ft jdby vm881tity is less than on Earth, the resonant frequency of the pendulum wil+1 * 8q vbjvem p82tto m:fdtx+1ykw;ol

  Curve A in Fig. 11-1 (,pdhq w;zoes td57f0 represents

  Curve B in Fig. 11-1 rep 62ch (ydhvd d;(-ck;lkppil1resents

  Curve C in Fig. 11-1 represenrj*;6+c,nofw 7k 2y vfry 7dxnts

  For a forced vibration, the amplitude of -s piv3p.pezu;c (c8* 1nifw qvibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from 6 + es dlvl. mp1iv3:9.wfyjszequilibrium is called the wave's j1 :zwemvfdli.3 s+pl.6vsy9

  The distance between successive crests on a wave is call n9yohw4 :3 pc 7am76cx n*da3hjsi0:dmj qr6ped the wave's

  The number of crests of a wave passing a point per unit time is callelv9s 4 v8r:idcd the wave'sivrcd8l9 v4s :

  For a wave, the frequency times the wavex hs06 gjym)h9i 1uro8length is the wave's

  The frequency of a wave increases. What happens to the distance bjymes8u2w2vsiie* 3 ;etween successive crest i3w s2is*yeje8m;2uvs if the speed remains constant?

  A wave moves on a string with wavelengjw.tj bd:5(5*2u pamcs +on iqth 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 second wave:n(2+ .*d5suacqj pm tiow5jb?

  Consider a traveling wave on a string of length L, mass M, and tenstii8+ll0rt lou43z b6ion T. A standing wave i3ubi8l+i04 lotl 6z rts set up. Which of the following is true?

  A string of mass m and length L is o:g/dybg 6s:yi6z t; gunder tension T. The speed of a wave in the string ygy6 g:b ;ds:gi/o6tz is v. What will 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 t0hqcxp1 y45jq ,a4y mpension T. The speed of 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, with ,p4x14a 05 ycmyj qphqno change in mass?

  A string of mass m and length L is under tension T. Thaw x s:m/1w 4rfeetd)+e speed of a wave in the string is v. What will be the speed of a wave in the string if dwm+ser/ 1)e w:f4axt the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through thhukh9sp76k7h stam+klljgb0 s) a5( (/; ylane Earth, the relt (0pg n;5j+k(sah6b7au7skk9slyh / l h) mlaative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. c:4tcm2zq1p i As a P wave travels through thetpm4 q 1c2:izc Earth, the relative motion between the P wave and the particles is

  The intensity of a wave isxz(jq nl(ro(p k ko-*b/p8tr1

  A wave pulse traveling to the right along a thin crcxv/9wc m62oord reaches a discontinuity where the rope becomes thicker and heavier/w crc 26vomx9. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other ondo*a/ww v7pxe.63 ev4zzpe3 e a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space at the same tiz4ee6a.pov / 3w 7xp*3wvze edme

  Two wave pulses pass each other on a string. The one traveling toward ta phwf10ne1/ yp-yq2ohe right has a positive amplitude, while the one traveling t0wqfy-1py21ea/o hpnoward the 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, such as;( :r,rw wbodk)ahs6w-s: uwc5k h5ti a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental freebenp2wy4 (-1q*bx . ej7d nwv0u b2alquency of that string wne bd2(nbb.42p 1xvljeyewuw* 7qa0 -ill increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mysnq+c *ljux*mv i;b f+(kz+,ass of 0.600 kg is suspended from i;+lubjcfyq x(+, m s* nvi*+kzt?

  A mass is attached to a sprin7s ( trpxu8)q:22jjar31yso+sf36 f eizy w vjg of spring constant 60 N/m along a horizontal, frictionless surf7aj)jqi6zs ytrf33j:2ey sw(vpu2 8 srx 1f+oace. 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 amplitude?

  A mass is attached to a spring of spring qph(oi20nc 3n(bvx2 qft ;+w zconstant 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 positi nfxzh;bqoc q+2vt2n(3 (iwp0 on when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring ofgvqhm0q k3( -h spring constant 60 N/m along a horizontal, frictionle 0qq (hhvgm-3kss 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 frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10a7stki fhnt2 /2tt13 m complete oscillations in 5.0 s. What is the 3iahtt 7tntf2 /2k1smperiod?

  A mass vibrates back and forth from the free end of an ideal spring of d cj,wx vdu(ax7a 9x75spring constant 20 N/m with an amplitude of 0.30 m. What is the kaxc d5j x7,a vux9(dw7inetic 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 cy5ja,ulzo iv t 3dix b;/sm+1;onstant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a i x1y,djm v3+lt;bz;s/5i ao uspeed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. T9dp(9tj 5hzfpoj 0q y*he 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 9o9y jp ph(*t0qjzd5fis the energy of the system now?

  A 0.50-kg mass is att rk00jwsk,r)kl9kaw *ached 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 amplitude of vibration?jw *s0lrw0k)a r,k kk9

  A 0.50-kg mass is attached to a spring of n .2kfwk 9p/: gdhfcy.spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and hydk:f ..khw nf92cp/gas 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 enaa0 c,c mt+z39 9nyj4ud lhjm7d of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an ampliza ya0,+nm4j3d9hjc tm9cl7u tude 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 of spring c0izffa+u0 r)n+lw skl 6g;1a eonstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical es0zrl6 1 fin+g u 0k+wal;)afenergy of this system?

  A mass vibrates back and forth from the free end of an ideal springy akg48 vi/ne( of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating gyk8n v4 a(/iemass?

  The mass of a mass-and-spring system is d:m3cy1,a /gf yu6grfvisplaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is obsev1f:cmyf3/ gya 6rgu,rved. 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 z0jf3 vu:ypqk v223gbspring constant 10 N/m. The object is displavzy3k j2:f2 0vu bg3pqced 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 i6 mrv1p89cv kN/m. The object is1 86m9 rcpvkiv displaced 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 sprinx h q :9y*5/h1yl5miw3nlh ding of spring constant 18 N/m, displaced slightly from its equilibrium po/l*1h 59 q5 why yd:n3hlnmixisition, and released. What is the frequency of its vibration?

  A mass is attached to a p64m;nxt s 0nt* kk:aqspring. It oscillates at a frequency of 1.27 Hz when displaced a distanctm 0k;kqxap*t s nn:64e of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to difzp,) 0*bteic-x3f-t8vk a jwu*kz. nuferent 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 compa-zj ca,v w k3te8nbk .*ix*f-0ztupu)re to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches the squ998 w99/uaeij y+px yvlii4 pring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and releasedepqiyi+/9a 4 ujluwyv 98 xi99 from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended e +ih3e 1vqhz+pai 1e/2p, yxkon 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 released from rest. 1yxpke1 aeq/zpieihv 3+h+,2Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mf 83zlnj-) smb-h2vf9di2x hd ass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of8m dvh)9h-z nf2ifsbjl-32x d 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple har(-uqcq i365lw + gbbhfs 7aj3vmonic motion obeys the following position versus time equatiav5jb6g7wb q h(f3+ul csi3q- on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the +/amay z3or3 yx+c8uafollowing position versus time equationa+xm3ca8 /y +urzaoy3:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time (9+)puv m- 8ucz1u6z hvkzjhz equati h-mjp6c uv1k + zv8z(z)uhuz9on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion k * )/3aeupguzaccording to the equation )/gz uk3pe*ua$y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to sprin q tycgk-vt::9g with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= ytt9: gv-q: ck0, 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 complete swings in 8.0 s. (a) Whaiudw2 -78 6cmiqzmcf516 rkqv t are its frequency and period o qk82c5cqwvzd 1u f6iri- m6m7n Earth?

  A 3.00-kg pendulum is 28.84 m long. What is 0vr)qx 5uh6t mp/q/wf jnj ,xz9(qw/bits period on Earth?

  A pendulum has a period of 2.0 s o6ozyk 8he)o; 6fxv sv.u )dn0en Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. Whatni er1og +0q;m w5xa)v is its period on the Ea0niv5e xm;+ qr1owg)arth?

  The pendulum of a gr-:+k)qi pnx1hiwi2 v xandfather clock is 1.0 m long. What is its period on the Moon where the)pki:2 xxhvwniqi1+ - acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical m.yngsehc 2 )l5ass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back yg2l).he5sc nand 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 angular displmci p 452cy/kc*.2 pv(pqixnvacement of 8.0(v2ipc n i2yp4 x5.q/*ccmv pke. 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 glsjh02ts.nrl 6hm4 ;aiven time. The frequency of the wave is hl h;.4ljm ta s26sn0r120 Hz. What is the amplitude?

  Figure 11-2 is a "snw ,px,;(37.icyh7o m,p eyu ec2ehycy apshot" of a wave at a given time. The frequency of the wave is 120 Hz. Whwup,(e.c2; epcy xo,e77hy3hmic,y y at is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The j k/cdkc6t;dy/-gy*e frequency of the wave is 120 Hz. What is the wave s* c6 k/g c-k;eydy/tjdpeed?

  What is the frequency of a wave*okt7r(i)vs/wa 2 ,zv)zoiv k which has a period of 6.00 ms?

  What is the period of a wave with a fc(f(r+ xi o(o0w8gxnsbfm c8;requency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelengt1; aerh20oggw/slo2c-xkd7 zh of 3.0 lwghr12c;k0x2oog /z s-7 aedm?

  What is the velocity of a wave tx rol 3zff*0w4r7qp1vhat has a wavelength of 3.0 m and a frequency of 12 qf7v wfr*o1lprzx3 40Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 m*s to -msu+en8zg-;j m/s?

  A piano string of linear mass density 0.0050 kg/m is un 6,*ev g5ixqtider a tension of 1350 N. What is the wave spet5 vqx6ig,e *ied?

  A string of linear density 6.0 g/m is under a ten8hfi8l6e3u91p d geknip/t l5sion of 180 N. What is the velocity of propagation of transverse waves along th p3n9le p6i8 ueik1tf85hg/l de string?

A wave whose wavelength is 0.500 m is travelinypmt:5h9+qd og down a 500 m long wire whose total mass i+5m qthy:d p9os
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 tranyqnszftym +:mdcd/n8x+ 3 h+5sverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequfshq5m mzcn nty+dx/y3++8 d:ency of this string?

  If a guitar string haskout7 :0tm)zn a fundamental frequency of 500 Hz, which one of the following frequencies can set the string into resonant7t mu)n:o t0kz vibration?

  A stretched string is observed to have four equal segmewg6 p31flu)b rb neg7r y-09l rbf3dp;nts in a standing wave driven at a frequency of 480 Hz. What driwrfu9)bp l nlyd-g6b3b1r ;07er 3pf gving 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 stanyn w 54o*hdes0jo ra-.ding transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 looy5.wjd* 4o nr 0aeho-sps?

  A string of linear density 1.5 g/m is under a tension of 20 N. u*cu.n):kw ; kcj +x*v gcq2yj What should its length be if its fundamental w vj*+;c.cc: xu u)g yqn2kj*kresonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m and 2zu*hdxo777m j/jf gmlmxg7 uo7*j2 hj/fdm7zength 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 vibrates ajk*h 3gg.0d kj rn7wl8t a frequency of 85 Hz, a standing wave with fivedjg07jk*3 l. nrhgk8 w 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.