The time for one cycle of a periodic process is .2qctck3mfsj74/mktzx :j x9 9st.wzcalled the

  For a periodic process, the number of cycles per unit ad;agj;a ;n. m/m8joz time is called the

  For vibrational motion, the maximum displacement2j72x w a8yo4x. die.n q9vnka from the equilibrium point is ciqv2ynoa .e8kd4 xw.7x2nja 9 alled the

  A mass on a spring undergoes SHM. When the mass is at its ma. v5ag4rdt1s ekdydbe9w9o 1 2ximum displacement from equilibrium, its instanta obs ae1 k9ddw4g.91yr 5evdt2neous velocity

  A mass on a spring undergoes2 nd+.,qpn9tau)n iko SHM. When the mass passes through the equilibrium positio pondt+un k)n i,9q2.an, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass iq7wop1ohh-p v d5a *v3s at maximum displacement from equilibrium-pph 7v odao1vwh*q3 5, its instantaneous acceleration

  A mass is attached to a vertical spring and bob le).nxx z vg8 .3sii/otx5,ofs up and down between points A and B. Where is the mass located when its kinetic energvz/3t.xfix oe,5o)l.8 nig sxy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pointsqib n4.;kn7 q9nwh i+p A and B. Where is the mass located when its kineti+ nn7; wh. q9niiqbpk4c energy is a maximum?

  A mass is attached to a vertixzftd6b,yg v8f5i3 +ccal spring and bobs up and down between points A and B. Where is the mass located wheb8yicx,z5ft3 fv6+gd n its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs upemtc6h s7xt 5+4ng -hj and down between points A and B. Where is the mass located when its potential energy4jh5x sgmn+ hctt6 7e- is a maximum?

  Doubling only the amplitude of a vibrating m-ed* 1/yzmpe jass-and-spring system produces what effect on the syste1- m/e peyz*djm's mechanical energy?

  Doubling only the mass of a9gkr5cs )0 ndd. yqu.l vibrating mass-and-spring system produces what effect on thug )k5y.c d.dn lsr09qe system's mechanical energy?

  Doubling only the spring couxp.nz(a7r fu i;tv3 cy 8,st.qkv(9 anstant of a vibrating mass-and-spring system produces what tav (i ut.,8u9nvx( p.sz7q crkaf3 ;yeffect on the system's mechanical energy?

  A mass oscillates on the end of a spring, bew cpw; 8jd3jy3 m/,asd (9woyoth on Earth and on the Moon. Where is the j3 dpocj/9(,sywa;8m3yw edw period the greatest?

  Increasing the spring constant k9 (ncl9*forft of a mass-and-spring system causes what kind of change in the rlc* o9rfn(f 9tesonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-sprip/7br37 kq hb y6 xso29dqdm5dng system causes what kind of change in the resonant frequency of the system? (Assume no cha ddb 3s7p2/hrxd5qmb6kq97o ynge in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sprou1 ).j(;gty s z 6v7ibv0cxbhuox -8ring system causes what kind of change in the resonant frequency of the system? (Assume no other changes in the systev(hu0rts ox6j ;i.7 bvg 8bxyu1o-c)zm.)

  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 lengthl bsz2oxj)1a2 7qn 6td;c5roc L. For this system, when undergoinn1to;5joa2s z cbxrc62)7 qldg small oscillations

  When the mass of a simtm 25cfkn 0lp zola+(-02yhu ople pendulum is tripled, the time required for one complete vibratio2loz-+o2ca 5fpk uth0my 0n l(n

  Both pendulum A and B are 3.0 m long. The period of mc hf.aot3 - (1mw/zj3k(y9 4p hldyciA is T. Pendulum A is twice as heavy as pendulu( l9ayyhctozhim3/fpcw- .k m4d( 31jm B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vib6u 5 v9;buhnwwration increases by uubvnwh6w;9 5a factor of

  What happens to a simple pendulum's frequency if both its length and m (wdf7+le 97 9tv,t eablhvo;zass are increase9vl+b(otwf a;,elze7 tv 9d7hd?

  Simple pendulum A swings back and forthsc ;om;c:wd.z*k) f ri at twice the frequency of simple pendulum B. Which statement is co* o c;m.krw;):dscfizrrect?

  If you take a given pendulum to the 89rhwr1h6m1xp * x mxlMoon, where the acceleration of gravity is less than on Earth, the resonpx61 mxm98h *lr1x hrwant frequency of the pendulum will

  Curve A in Fig. 11-1 representq wf( / k-chu/vxiaead.::5ans

  Curve B in Fig. 11-1 repr-spw/m2 dxkxl9c j :9hesents

  Curve C in Fig. 11-1 represents5xikz p*6g:6:igk ptf

  For a forced vibration,f pxqywpm8. f )z/y6)n the amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave oifoehc 48g7ge/9 q1zfrom equilibrium is called toc4g8ogi he 7 9ze1qf/he wave's

  The distance between successive 0r,1. bprmkd16kxnr pkd 7; hqztm/9ncrests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the wav-9qtgw.hnqr5 s /w 5 njomw/)ce's5ntg. oh/ c w5)-js/nqmw9qrw

  For a wave, the frequency time1oda : g*9fdrts the wavelength is the wave's

  The frequency of a wavewahlc.yeb, .oorydv+ n 0)j (4 increases. What happens to the distance between successive crests if the sp yb(0)a4e,c.vhy owj+dn.lroeed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave o7du io)1 hevt5n the same string has wavelength 2l and travels with the same velocity. What is the f1 thu5v7iod)e requency of the second wave?

  Consider a traveling wave on a string of length L, ma 9;)wgzezhsw7ss M, and tension T. A stan7gw)hz9w;sez ding 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,s-7n6mt.1yb ) m wjyzuoajy 4 wave in the string is v. What will be the speed of a wave in the string if the mass of the string is i- uyywsn4y ,6tmz7j)jmoa1 .bncreased to 2m, with no change in length?

  A string of mass m and length pd *-ap:uksqm h p1g70L is under 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 length is incg-* p d1a:hpksup7 0mqreased to 2L, with no change in mass?

  A string of mass m and l+0reo.-zmy mrength L is under 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+mo rez0ymr .- is increased to 2T?

  In seismology, the S wave is a ttri7g 4 l-n7smatag7*f .o,gzti ep5-ransverse wave. As an S wave travels through the Earth, the relative motion between t7 n4ef-i7opm*tst.gr,- 5 aizlg a 7gthe S wave and the particles is

  In seismology, the P wave is a lon(j c qx,lquvdr.cw ,-kha+0yi66yt(tgitudinal wave. As a P wave travels through the 6 d t0k+ vq-(lja y(wh,qrccxut,i6y. Earth, the relative motion between the P wave and the particles is

  The intensity of a wave is a/vn9spn7eca;8 wa9q

  A wave pulse traveling to the right along a thin cord reaches a discontinuity wh ow h-criflrx:(eocb+3qc1. 1ere the rope becomes thicker and heavier. What is the orientation of the reflecte+i .wbr (co-x1:rcoh1c q3feld and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each6cr/, ktfjte1 other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same rjkt fre1c 6,/tegion of space at the same time

  Two wave pulses pass each other on a string. The one travelintd)17xu sk6ig42magvg toward 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 )6g2 sx1 m4itd7ugakvoccupy the same region of space at the same time

  Resonance in a system, such as a string fixed at bot )/ g6s*w ,pxicp(nybdh ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency ofg2wkgxpug+ r: s sd)53 that string will increassu +k:w2 rgd53g)p xgse by a factor of

  What is the spring constant of a spring that stretches ;g*gbd e8pvfqb(6ujx 8 brn)6*g s6 zx2.00 cm when a mass of 0.600 kg is nb*;z gu8 e) xb68pgvjbdsfqg6x*r6( suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along,-lmmd7h8c my rcb3v9 a horizontal, frictionless surface. The spring is initivl ,cym3 -r89 bhm7cmdally 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 along1nn ev-09t7 e -,hlgsdyk l9xc a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. vk- ,e1sctl ne9dnhl0 gx-y79 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 top4 . h7r .8)djmzaadsi a spring of spring constant 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 itsdap ah84jm7dr)i. .z s equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations e r+ij jm0n,w1tbq vx*t -ck;:in 5.0 s. What is the peri0b*w ;im tcqtn-ex+: 1,rvjjkod?

  A mass vibrates backlmn3as u+ u6f* and forth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.3unfa l+ u6s*m30 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 attached to a spring oid mj-5upxghhf ;,01 uf 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 thed x,i;ujuhmf-5g1p0h equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0t t+1 6f+bsecd+ ,qkis J at this time. The mass is cut i++ 1b6,e+i ctfqsktdsn 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 aoaa c2,bej97spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple 2j9 7aacaboe ,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 to a spring of spring constantnc/vt)3 eye -u 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 then e3te/ -c)uyv 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 sprimdb(+a*ouht,)o : xlv ng of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the toto: m(bla,d)x*v+h otual mechanical energy of this system?

  A 2.0-kg mass is attached to the endek( i3ud p exrma0x:6) of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amp:)r36dx xe u(eip0 kmalitude 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 idea9kg+4r.rooucdir(j:)t/x t sl spring of spring constant 20.0 N/m with an amplit:gs. ci tr+xu4j) rko9or/ (dtude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-an 0ks..,4wzw.9/hl61ic pgmvr lhyczqd-spring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz i4lqv.wcp ikl,6mwr9hy0zc.g1 / zsh.s 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 ofhmz3va) d/zmh p*3ox) spring constant 10 N/m. The object is displac)homa*pm dvh3x )z/3zed 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 N/m. The object eyk.duk + 3ufpv)s8tr(( ;od sis dispdu) d.v8eo;ty 3( (kufpr+sk slaced 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 18 *,kqgbnhd*, l: ,y yinpqq*kew09 f/z N/m, displaced slightly from its equilibrium position, and released. What is the fredkyne qz*lg*,qw qp iykn:9f/,h *b,0quency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz wnd99m rr 6bp:bhen displaced a distance of 2.0 cm from equilibrium and released.dn969:rpbmbr What is the maximum velocity attained by the mass?

  Two masses, A and B, are 9h +t/ow5bwhe i01(ftd1z 4ye wzork/attached to different springs. Mass A vibrates with amplitude of 5ew1t 1b/i 9 fww kz0h+zo( ohdt/y4re8.0 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. In equilibrsc4 onmo1 )of0ium the mass stretches the spring 2.0 cm downwaroon) fs104mocd. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is susps+51qy1 av 7qyja+sviended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then1j y y+as5a1sqi+q 7vv 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 thjm4t wt ucd2ne3 j/(k0e mass stretches the spring 2.0 cm downward. The mass is then pulled an 2ejt4 ntj3wc/k du(m0 additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonx /vt+b* +tdgvic motion obeys the following position versus time equation: tv+d/*tbxv +g
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time 6z2w oy-tak0abu i2 rqs.hk*2 equation:s.-oi0aq *kkratb h6u yw z222
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic muw,4a b7d+(tr9 hadex:znp5w otion obeys the following position versus time equaz5 h74e( auadtd, pbrn9+xww :tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executesjlnn b36 ix/,fjs9 q6o simple harmonic motion according to the equationjxi/ nsf6jo 96bnl,q3 $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring withc+:v/tfr) ddv0m8xq s 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 stretched by 10.00 x q 8mr)0cfd:+vsd/vtcm.)
(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 frequency an, p/nv s: snlp1sptyai;s-k6-d periodp1 s,:ltissna6;y k v/-n-psp on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period i j(oh.:pp;dj on Earth?

  A pendulum has a per a*n+9mg:yhmfxzbmg ;q2 ((zr iod of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the5*m wp61bikt itho/m1 Eapmwimkh/15bto6 t i1*rth?

  The pendulum of a grandfather clock is 1.0 m long. What ijl */ykmn)8fm3j cf 1 1s/tfiqs its period on the Moonfcmtfkq f8m3l* /i1js1 y/n)j where 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 massle+wv n bm0+sywn/j 39vuss 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 have resulted if a 0.50-kg mass (same diameter sphere) had been nvyw+/9 b 0m nu+3wvsjattached to the string instead?

A simple pendulum consisting of a 20-g mass has zd z12m.te8srinitial angular displacement of 8.0e. ze 12sm8r. tdzIt 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 give9roh *n* /a)syu,dpu qo l0bw/n time. The frequency of the wave is 120olrb*/qu/d9hpy nosuw),* 0 a Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a giv-prt9r j,aldy)o)e f /l82,zzpiuq i2 -uapk +en time. The frequency of the wav)y+ il,2p)ze-o-r ajqud ,kut lir9 8pfz/pa2e is 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a clt uj.45(.x rjec7lcgiven time. The frequency of the wave is 120 Hz. What is the wave speed?cc7.l( lr c5te4jx ju.

  What is the frequency of a wave which has a period of 6.00 mllh*n8;q, :j 99ghp juvr8o-a s; wmuws?

  What is the period of a wave with a frequensjrat-9c.9n :pb lq1, qa:xr hcy of 1500 Hz?

  What is the wave speed if a wave hasmh2*( (fa2p9gq lb iqp a frequency of 12 Hz and a wavelength of 3.0 mlqq aib2p(h f 2pm(9*g?

  What is the velocity of 19 xlw ;kdgtql),k3gu a wave that has a wavelength of 3.0 m and a frequency of 1 )tdq klulkx wgg;3,192 Hz?

  What is the frequency o8am -yut(rv k+f a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass dens;1j8ve croa8t20tc8shzg,qt 3z 3bznity 0.0050 kg/m is under a tension of 1350 N. What is the 8e0 2j q38zhgzsc;31tbt8t,nar c voz wave speed?

  A string of linear density 6ad)x(,m:ni;zkg n* g:m)s ptm*mfpg 4.0 g/m is under a tension of 180 N. What is the velocity of propa n,m*:m*apnpz g:(ftxmg4 g)s)kim d ;gation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long dupa,-:7 abh lwire whose total mass iahl7 pau d,:-bs
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 a 2.0-m long strin c8mq-yk4dnbr* x)qh(g fixed at both h k*x(- 4c)qnymrbqd8 ends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental freqfx / x6 ke/ooh-o*2fa;y 9sz qscda)n3uency of 500 Hz, which one of the following frequencies canoka/ 6 c qfhyox3;*s) a/-2d fzen9sox set the string into resonant vibration?

  A stretched string is observed to have four equal segme(s1 r7z0q)wnc zcbj4r nts in a standing wave driven at a frequency of 480 Hz. What drivj czq )sbwcr(71r0 4zning 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 standingb)h* ovp5r1tv qwn 9nb.20hq uffg8j: transverse wave pattern containing 3 loops. What frequency is needed if the sjtf 5.128 ho:*fwbvnun0r)h9bpvqqg tanding wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tensionly9zh3 afhh: *rpc22+0ynr d a of 20 N. What should its length be if its fundamentaa+ zyhd*p n:0lr293fayhch2 rl resonance frequency is 220 Hz?

  Find the first three harmonics of a string of l-v/col7*lnos z a2t +hinear mass density 2.00 g/m and length 0.600 m when itczshv+t- /llo2o7 a n* is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When thv t5. u1flgb(ve string vibrates at a frequency of 85 Hz, a standvv1(. f5tul gbing wave 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.