The time for one cycle of a peri, uac( q0dl j;kxcr:v2odic process is called the

  For a periodic process, the number of cycles per unit time is calllmtar,+, )d8b)h)xs(d jeshghw7x9a4b.lq fed the

  For vibrational motion, the maximum displacement from the equilibric*+ao9) zc g2fg rk+d2u uq(1x tzpf2qum point is ca(qc+92g1zoxr 2fqk+fuuact zd)*2g plled the

  A mass on a spring underg9e0m u9cb:b2/ iubrpgm tq4+ does SHM. When the mass is at its maximum displacement from equilibriu/r e +9i9puqb bmdt0:cg b24mum, its instantaneous velocity

  A mass on a spring undergoes w k(d,,jv)sli SHM. When the mass passes through the equilibrium position, its instantaneous vel iwjkd), (slv,ocity

  A mass on a spring und(+h4vef*kft :ff +(wbyy)wqzergoes SHM. When the mass is at maximum displacement from equilibrium, its instfybf q4+zkt*+ f f(he(:yw )vwantaneous acceleration

  A mass is attached to a verticad5 f)tn kv6b;0d-ralh itf,g, l spring and bobs up and down between points A and B. Where is thhbt lvar6t5gin;, -dd f),0fk e mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical sprinp(c1tci 8g 6fwg and bobs up and down between points A and B. Where is the mass located when its kinetic1 t8icgcfw6(p energy is a maximum?

  A mass is attached te3tk2 qpir1l*sgtv6 7 o a vertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is keiq7*6 3vr2tp glts1a minimum?

  A mass is attached to a vertical spring and bobs up andwrq2cm(gh - -i down between points A and B. Where is the mass located when itshwgqc2( -i-r m potential energy is a maximum?

  Doubling only the amplitude ofbw u1q0 , ox9jw1axp1t a vibrating mass-and-spring system produces what effect on the system's mechanical en,1up9o0b1t axxw1qwj ergy?

  Doubling only the mass of a vibrating mass-and-spring system prodmlh :ptyk /7 -s*,qe.ok dknhi,vw l*-uces what effect on the systemksp-vdhl*w,tnikmk y oe 7, l*-/.qh:'s mechanical energy?

  Doubling only the spring constant of a vibrating mass-an*/deeq,t 5 dcdr,cc (pd-spring system produces what effect on,dcc p qc ,treed5*(/d the system's mechanical energy?

  A mass oscillates on ig:yhhh4 3q/cthe end of a spring, both on Earth and on the Moon. Where is the pe:h qhgh43/iyc riod the greatest?

  Increasing the spring constant k of a mass-and-springab ;1 lp8nwnn6 system causes what kind of change in the resonant frequency of the system? (Assume no change in the system'san ;nb6n 8l1wp mass m.)

  Increasing the mass M of a mass-and-spring syste 5d5ei9ztc/rqm causes what kind of change in the resonant frequency of the system? (Assume no change in /q5 95 ecrtdzithe system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of chl pjay-nl z/0x y;wo.c8 om)g9ange in the resonant frequency of the system? (Assume no otherxl;9 zm/). opa wnyyc-g8j0lo 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 consists40ilpw6 na:cy umqi)y, h48xh of a mass M attached to a weightless string of length L. h w4y i80)yxamlpqc 4hi6u, n:For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tr5b/tc 2er,-tdtc noc*lesfuk7r .y.7ipled, the time required for one complete vibratc,lt5rr. bs 7c ce*.un7eft -/2 yotdkion

  Both pendulum A and B are 3.0 m long. The z mh ot-bf3then,,w1+period of A is T. Pendulum A is twice as heavy as pendulum B. What is +t 1b ehtz,mhw,-n 3fothe period of B?

  When the length of a s3wa /gzcxf9s+t4(lgql0oyeu9 v 0( cbimple pendulum is tripled, the time for one complete vibration increases by a factorz( b+gtc c l 9ugxov wl0qyes/309fa(4 of

  What happens to a simg14r7 vj4so mvple pendulum's frequency if both its length and mass are increj 1v4gv4rm 7osased?

  Simple pendulum A swings back ao5iaw7p8.q dy nd forth at twice the frequency of simple pendulum B. Which statemeq.8dp aw5oi 7ynt is correct?

  If you take a given pendulum to the Moon, where the accelerati;vk sld4gvf ;01pz* eion of gravity is less than on Earth, the resonant frequency of the gs;f*elvz1p 4 ;dik0 vpendulum will

  Curve A in Fig. 11-1 repeluoc/5*e nb.4 9pllb resents

  Curve B in Fig. 11-1 repre/5w-5rbuwl qzs3o i6y sents

  Curve C in Fig. 11-1 representlu :q.k6q/ ixe:pznr4s

  For a forced vibration9+ 4l1hpm0k /hbqr rrz, the amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibr8fzqc .9m g8qeium is called the wavq. 8qmg9e8fcze's

  The distance between successive c m-oczjx m/ m.7z2ob,qrests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the waveuxa.r dq ;zro :g)*rcsjj5.h 4'zgh)jo 4*.;c5:sa dr. qrjuxrs

  For a wave, the frequency times th nqsm4 j:psd,nu/v4qiq(apty 4 xj ,69e wavelength is the wave's

  The frequency of a wave increases. What happens to the distance between succqk8qvc7s4cf;2 g/d23sksl k yessive cre7s 8 cfvk/cqky2 lks;sgq2d3 4sts if the speed remains constant?

  A wave moves on a string with zc0i(3x 1 vlhzwavelength l and frequency f. A second wave on the same string has wavelength 2l and lzi(hc 3vx01z travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling 51f;o+ j s 0,xg+ rnjchrpuf-vwave on a string of length L, mass M, and tension T. A standing wave is set up. Which of the-1 h; vnc fufg5rx,+ 0+sropjj following is true?

  A string of mass m and length L is under tension1 kvtmv -o,j+u T. The speed of a wave in the stkm,v-vu1 tj+oring 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 tension T. The speedw7z kb,qa3zmi)q8dr 8 of a wave in the string is v. What will be the speed of a wave in the string if t q3za8wb)m 7kz8drq,ihe length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. Thx5i,r b s fq9jsfy-sitl5 i)vnu/3a,, e speed of a wave in the string is v. What will be the speed of a wave in the string a)vjin f,3q/sy 9b5lt f -suis,rx5,iif the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. 0;l8z: u6s 94, vgqoeati ke zvk gt5;jni40mk As an S wave travels through the Earth, the relativme igjv5; l,e ti0kqonz4z8 vkuag:s6k 9 0t4;e motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels wttd61ckro,o3+x;g vthrough the Earth, the relative motion between the P wavv+ko3txw cor6,1 ;gtde and the particles is

  The intensity of a wave isss yp n,j 9td1inl.gy-b.25 oh

  A wave pulse traveling to the right aloe6,9)w)t5t amc mi dajii +s(tng a thin cord reaches a discontinuity where the rope becomes 6i+i)9jsc i 5, awt)amted(mtthicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal syiv+ e +6b,eapositive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they,v+s6 e+yb eia occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one ropw5j6zf 0 3pqgwi(+khoj6, traveling toward the right has a positive amplitude, while the o+o wigzf(r6k0 q 5jo,hw pj6p3ne 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 same time

  Resonance in a system, s-j6o uh (d4d)3cx whpluch as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental fr 4r lw/poot;)oequency of that string will incr olo);op/ wt4rease by a factor of

  What is the spring constant of a spring that stretches 2.0u o0 igyz3, gq8g y)ds-4yz(kc0 cm when a mass of 0.600 kg s dz3 gq, c(4ko0-z8ygyy)iugis suspended from it?

  A mass is attached to a spring of spring constant 60 N/ b 3emd0j9uxa.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 position when it is oscillating. What is the amplitujme d3ab0.u9xde?

  A mass is attached to a s** i u2mxklrir )2q kox*j/krw6wk,7apring 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 its equilibrium position when it is oscilla/km ux* k7 2xr roak*wlrj,w *6iqi)2kting. What is the period of oscillation?

  A mass is attached to a spring 03+/ l3ho aoykcm3yen 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 its eok/+m3 l eynha 0c3yo3quilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscilla9 wss evx8t +t4a7ppyi;g5 8prtions in 5.0 s.yvxs+;g7549 8tpiweasp8r t p What is the period?

  A mass vibrates back and forth from the free end of an:l2d4vd gkbj0 9j -khk 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 f 4b 0g9hkdj:ldk vkj-2rom its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20d+/c;y7 to mef5m np6k 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 ofko6ed+ ;mypm c/5fn7t the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J amkuqc70ya5a3q9 ayo5 xf73pet this time. The mass is cut in half, and the system is again set ia3y0u3mfceoq y apq 755k79xa n motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a sprinzei; hwb8nl kwaf*vm5q7i02 * g of spring constant 20 N/m along a horizontal, frictionless surfaca m 82*lkifvw0*zh bine7;w5qe. 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?

  A 0.50-kg mass is attached to a spring of springpw+ z,wj whz:/rt1q, h constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 hwwzrw+pztq,j:/,h 1 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 teply/8) i1kaf4x)enm+ lud 4spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this 1 tl)x/ )i4fdlpmukae 8n+4yesystem?

  A 2.0-kg mass is attached to the ec g1(c99 nx 0x5s0,tsfkfs:cy euuu3ind of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the totaliefyxg 9knsu9 tuusc5,:0 c0 x(13sfc mechanical energy of this system?

  A mass vibrates back and forth p6x55ng 1wggf(kli/d from the free end of an ideal spring of spring constant 20.0 N/m with an ampllg5gkid(n5/ w 6xfg1 pitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced6*t0x dpri;o6 ryf5l9dqv nwcfd-u8+ 10 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 cm and then released?ld i-o f+0d yrv5ftd*rw6q9pux; c68n

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The o(z crkn7 jv)2ebject is displ r)27k vezn(cjaced 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 cob(ge,2 zu)nsu nstant 10 N/m. The object isue)n b2(gusz, 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 spr xmy u/jm,eogtm0 a-4/ing of spring constant 18 N/m, displaced slightly from its equilibrium positiojt/ao0m /4 mxuey-m,g n, and released. What is the frequency of its vibration?

  A mass is attached to a spring. Itc;edny9 t 5n a9z+oz+q oscillates at a frequency of 1.27 Hz when displaced a cy5etq zn9doan; 9+z+ distance 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 difcpbw krem86weh g*7 e 84th4n5ferent springs. Mass A vibrates with amplitude of 8.0 cm at a fret8e*cr5pmeh 4 w4kbwe67g h8nquency 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 equilibp*uh tz6y5l ;qrium the mass stretches the spring 2.0 cm downward. The mass is the zh;qt65luyp*n pulled 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 spring. In equilibrium the mass stretchfqrq 5 mb f8/yuygg b/a5zzg/72p/o+oes the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and relb z2fqbr ypf5uyz/ ga8g/5oqo g+7/m/eased from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a sprin7x7anxjx4,r gqb,j 6s g. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an adjaxb x jr 7x4s,7,6qngditional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmo4j6yu) /qkeca nic motion obeys the following position versus time equaauq4e6 )k/cy jtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motionrzn;:p5k -wto obeys the following position versus time equat o-r:;z tk5wpnion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positgubg(7 j k*b ;(-tobawion versus time equat(;w bb g(kg*ujba7o- 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 executes s z6lc5q 8hefy7imple harmonic motion accor l7qyf hez58c6ding 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 wiwve 2c2n6 r,vu9re r(xth a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass i euwv29r x( ,rcnr6ev2s 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) What are its frequency and032uq)okvin8er w3nrq4th8 y perit23oenkn3r0 q8 irwh vy8u4q )od on Earth?

  A 3.00-kg pendulum is 28. x8+ml ecvtz4 /3)uh-lh9vixg t; 7bth84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lengtwap/bjq tmk0d32ca 9.h?

  The pendulum of a grandfather ,a/wiab2 p(z*o jbu 7bclock is 1.0 m long. What is its period on the Earth?2i u/bwba bjo*(a7zp,

  The pendulum of a grandfather clock is 1.0 m long. What is iv8,wj a1 u,yyxts period on the Moon wwy , ,u18yjaxvhere the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 6 ti*;zh.oqkm(x3 ama 0.25-kg spherical mass attached to a massless string. When thxo(a*im3;h qk t a.zm6e 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 attached to the string instead?

A simple pendulum consisting ob2x;mr8 4ej;-tlske r f a 20-g mass has initial angular displacement of 8.0e. It oscillates with a per-e e m2;8kr4 rsxl;jbtiod 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 q+./x3xt/h ug5p iz5/osc mj,:asjm(yuk+ay the wave is 120 Hz. What zm3 s+uq h oxgi5.x/:yajt5k/+u( , scjyp ma/is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of t 9ky-fx 4epksj 8w.j3nhe wave is 120 Hz. What is the wavelengtnf s.34 8p-wjxj9kek yh?

  Figure 11-2 is a "snapshot" of a wave at a given ti,j;;t. lpbt *8jwpwi cme. The frequency of the wave is 120 Hz. What is tt wpc *;p.bi,l;wj8jthe wave speed?

  What is the frequency of a yh3qcdv/j)1l ylqzty.7*6 w jwave which has a period of 6.00 ms?

  What is the period of a wave with a frequency m7 jv d(lwuh32of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12q2 lsqc 0n,xa. Hz and a wavelength of 3.0 m?0ancqx lq,s .2

  What is the velocity of a w ym*uhy* ww2o:t:3 qymave that has a wavelength of 3.0 m and a frequency of 12 Hz3m tym wuh:w*qoyy:2 *?

  What is the frequency of a 2.5 m wave traveling + 0zrdaj6du,djfc0k4 xf r .2xat 1400 m/s?

  A piano string of linear mass densityam9q vpmng zar ht742-x6l w/4b:tsrgq(p-z 3 0.0050 kg/m is under a tension of 1350 N. What is th 9w-npq 4pb/hlm(4r 3-x 7gtz6t zqrgm2saav:e wave speed?

  A string of linear density 6.0 g/m is under a tensionvm7cp b):y6.ax/b (ftl ,f ayf of 180 N. What is the velocity ma,pyxy (:./7l6f a)bcbff tv of propagation of transverse waves along the string?

A wave whose wavelength is 0.5z kqlc zg8g)3700 m is traveling down a 500 m long wire whose total ma)cg837 kqzlzg ss 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 a 2.0-m long strvbwa c a od:6 uod:,u(uxpk+xa9(*+ pqing fixed at both ends is 200 m/s. Which one of the fodu9( d6 xu*oab (c:+oqkv p:ax up+a,wllowing is not a resonant frequency of this string?

  If a guitar string has a fundamental w u.5(01gndf os y)glj eqil56frequency of 500 Hz, which one of the following frequencies can set the str g (wlqnes1y50ogdif)ju6 l.5ing into resonant vibration?

  A stretched string is observed to have four equal segments in a)4t caaf2h ca2 standing wave driven at a frequency of 480 Hza tc4f)2 2haca. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrat+eqpbq3cbu/ qs(c + -mes at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing w/cu+qmb3+q- qsc p(b eave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What sv pv2ffv;+y crn;3k 2mhould its length be if its fundamental resonance frequen; yf2pr v 3fn+k2c;vvmcy is 220 Hz?

  Find the first three harmonics of a string of linear mass densu7yb9bv:txf(;l3l:ylpqy j 4cbhk tkn 5( y-8ity 2.00 g/m and length 0.60 h x4kbpltbk(j-: y5f:7cqn(bl l;yy 89yvtu30 m when it is subjected to tension of 50.0 N.

A string of length 2.5 bp6wdntu b e.9/c+ t 3y/:5fql4uqqvrm is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five lov qfpqc9rl3 ntq.u6w5bbu + /4/t: eydops 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.