The time for one cycla8q9f3 lnxga mi 5aqv7lk 80l*e of a periodic process is called the

  For a periodic process, the number of cycles per unit time is called* ou nf 5bv6q5xz*+qqc the

  For vibrational motion, the maximum displacement from the equxnzn 4 55glwzr p3-w*wilibrium point is cal w*3wx zpr4n5wn-z g5lled the

  A mass on a spring undergoes SHM. When theruxd4 sipg(4ih.-j 4y7 ) sdim mass is at its maximum displacement from equil)4dis xu-g 4(p idryi 7smh.4jibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the6midp/ y/o9uer7ic6i equilibrium position, its iy9ci d/m6i e 7u/orp6instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement fro/-tct, hlbu( um equilibrium, it , /ulbch(tt-us instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down beta gqy,:6kib0zween points A and B. Where is the mass lob:zq ga k60i,ycated when its kinetic energy is a minimum?

  A mass is attached to9(4ckhvkw n fhpp7dw9(ew 7w 4 a vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maximu9k kdn(wpwv(e 47wfh74hp 9cwm?

  A mass is attached to a vertical spring and bobs up h8bnzi 7n) utdx8:. bn4vm/lr and down between points A and B. mru)7: l.8dnt/b x8nz4 bvn ihWhere is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A ana. j)2lsonp* sd B. Where is ths 2.)*p ajnsole mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring s8n)yj ;2z 4df bfou,*t,vkbz cystem produces what effect on the system's mechanical b tcyfvzo,ud4nz*f 8);2kj,b energy?

  Doubling only the mass of a vibrating mass-and-spring system produces whaqeccxy t)g9jk992rn0ft*5bfo9 we m3t effect on 0 cf)tx3yrfc99obe2 q t95*emjnkwg9 the system's mechanical energy?

  Doubling only the spring const3 +i8-. wv*drugfmvx;pt3byt hw *8kwant of a vibrating mass-and-spring system produces what effect on the systehi3f88v*t .pwrvtww +kux*;d3 ymbg -m's mechanical energy?

  A mass oscillates on the endviej(j88a)ctrvnkp /f7- (x i of a spring, both on Earth and on the Moon. Where is theprn-xj ckv()jf7 t(iia8e / v8 period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes wha8x1vkz,tanmn -q b*w4t kind of change in the resonant freqntx v-bk41,qmaw8nz* uency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind4ag jfg.l.hk d55e+ qb of change in the resonant frequency of the system? (Assu g4b5dkfaj5 .gl. he+qme no change in the system's spring constant k.)

  Increasing the amplitude of ,,wdabwvn 4in5smu2 f 3 +s(fca mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no o c(d3 vnwsb,w sf,un+4f52amither 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 cta4lab s9n ;1to a weightless string of length Lla 1;acns t49b. For this system, when undergoing small oscillations

  When the mass of a simple y-6,b,7 plcz on ri1dlpendulum is tripled, the time required for one complete vibrat1r6lbil dc-,7,nyz p oion

  Both pendulum A and B are 3.0 m long. The v.. f)x lt2rgxperiod of A is T. Pendulum A is twice as heavy as pendulum B. What is the pe. l).xg2x tvfrriod of B?

  When the length of a simple penduo/hgnjti 9z1 1lum is tripled, the time for one complete vibration ingz1i1ohn9 t/jcreases by a factor of

  What happens to a simple pendulum's frequency if baynrp-pk(7f.pa t 5b ;oth its length and mass are inp7ap a rykb.-f(5tn; pcreased?

  Simple pendulum A swings backfa1w wfo *52ifp3y-:mza bo8q and forth at twice the frequency of simple pendulum B. apf 2f8m-z:wb 5 3owoqa*i y1fWhich statement is correct?

  If you take a given pendulum to the Moon, where the aca 4 5/2+jx rqeowlzn;nceleration of gravity is less than on Earth, the resonanl ewqxn;5jrnz+/42ao t frequency of the pendulum will

  Curve A in Fig. 11-1 repr3q du l o0tlhlb8d6oqq25l.d,esents

  Curve B in Fig. 11-1 represents(/hekxca:o 0yq i(hx i*ks3)u8p: 4fch fvgb8

  Curve C in Fig. 11-1 represe4r7/r1b,ag:(0d xxfn:nsw w np *d2jvx hgrg7nts

  For a forced vibration, the amplitude of vibration is found to depend onuhu5jxw-8 l4q l( py4z the

  In a wave, the maximum displacement of points of thg7x7 lo s4wyw:ltd4r 5,m*scge wave from equilibrium is callelwsdxly7 :o*wg4,rsg57 4mc td the wave's

  The distance between successive cn5 utboib,p l) rf,ef.n/w+/ld..y derests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time +giktkx0 ey7ri r,*u5 is called the wave'*er kgityr5 ,7u0+ikxs

  For a wave, the frequency times the wavelendwa06 ghj; un7gth is the wave's

  The frequency of a wave incb gn .ymhsx(k0;e9zi/reases. What happens to the distance between successiv x0yhbn( mkie /s9gz;.e crests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second w lrec1 -ycupjbv* d3el+wx9).ave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?ec1b p+v yldc3u*)r.xwlj9 e-

  Consider a traveling wave on a string of length L, mass M, and tenf27agmf 7 ce2esion T. A standing wave is set up. Which o ga7 722efemfcf the following is true?

  A string of mass m and length L is under tension T. The speed of a wave in the zsr :*csll.t5string is v. What will be the speed of a wave in:r5l czl*sst. 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 wave inkui8n cjfv/* - the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with no chan8n/ ucfvkj*i -ge in mass?

  A string of mass m an5da-c3ji xqxp3 g l(/pd length 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 is incdp3xp- a xgi5q /j3c(lreased to 2T?

  In seismology, the S wave is a transverse wave. As an S wawmy4 amr/snq yy//q0lw2u 89ave travels through the Earth, the relative motion between the S wave anr /mua4m9qwyl nyysw/2 8 qa0/d the particles is

  In seismology, the P w 5) 8a9rsz9 r2khnrax5dcj9fu2fk (laave is a longitudinal wave. As a P wave travels through the Eart)zjxfr r8k9lrhk9fn5 9 5aa(adcus22h, the relative motion between the P wave and the particles is

  The intensity of a war 1ywud2d9dis -6r d,g0r wi9ave is

  A wave pulse traveling to the right along a thin cordce5v rj, a08b/i) sshq reaches a discontinuity where the rope becomes thicker and heavb5hqe,/)c is r8vj as0ier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal posixakv*w; e(/nqr;wo 8qtive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. A/ xk;v 8eqq;row awn*(t the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. Trx1na;f3el xdwsp1ou0q5fh b6p.2 k6 he one traveling toward the right has a positivehpqsx;ox 3d6b1e5p2. n0r1 u6fk al wf amplitude, while the one 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, such as a string fixed at both ends87ym ghof m/7b/ 5mpxxncp4z2 , occurs when

  If one doubles the te: r* d5khmb/fqnsion in a violin string, the fundamental frequency of that string will increase by a factor hb5fqd rk* :/mof

  What is the spring constant of a spring tht jtw;-m0.s x wgj7ez9at stretches 2.00 cm when a mass of 0.600 kg is suspended from tx.s7wtg0 - m9j z;ewjit?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal-h, d h-gojgfjap00kd asqw d3i1) 1.p, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and les.od0 qid d3ah)h1agfkjpjw1p, 0g --t 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 hjg78 so(:d+g glb td wa4t43noorizontal, frictionless surface. The spring is initial odta(n4g w:37+ojtgdb48slg ly 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 period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horiz8vn )nys1 /9 n6 zbkh5/q:whcziz fo8yontal, frictionless surface. The spring is initially stretchz95cnv /o:6 yh18/)bw k fh yn8szqizned 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 underg)v;7;ydt81ugkez ckhm 6m)bzoes SHM. It goes through 10 complete oscillations in 5.01g hv)e8k d uzzmtcy);6mb7;k s. What is the period?

  A mass vibrates back and forth from the free end of an hga)ws 1ecrq 51r; obvrx0( y)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 equilr1rv aqh;g5b wseyr0) x(o)c1ibrium position?

  A 0.50-kg mass is attached to a spring o q9as,erb ,33i0-htctr nr dtp2r :3jzf spring constant 20 N/m along a horizontal, frictionless surface. The object oscil,-3, zjpht2n b dsr3e 3ri 9:qrct0ratlates 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 of 4 cm. The energy is 8.0 J at tfvp:h6qas4(2gw l 7qe his time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the eq6v :s(l4gfq7h p2wa energy of the system now?

  A 0.50-kg mass is attach ))j6q xr1;wse ;th;arigu 5tyed to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object osciu;1;5r xh;qijr6 te ))gtsaywllates 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 spring const n5lm 1sfjx:o (9xrw3xant 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. At what location axjlxr9 f(mns5 ow 31x:re the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attacj)+ :, ;t-wtenkdmpxwhed to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. wwd tj;)kepnx,-m :t +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 c5 mqzq3ma )p nnhh,i2*onstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is them q)min3*qnpzhha52 , total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of spring v7k 3g,9khilz wrz:e)constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?z:kr,khl37g e i wv9z)

  The mass of a mass-and-spring system is3us dl/r k+w97xvwe7p displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. Whatd9kuw7+7xv w/ eplr3 s 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 spring constant 10 N/m. Tw*gnj/m bgtqja,4 a(.p c1 b2yhe object is displp/ 4j j(a,g1 bbqtn* ycgwa2.maced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached tdb e8j6ikgd ,8r2;wye o a spring of spring constant 10 N/m. The object is disp 68k,i y;8ewe 2rgjddblaced 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 N/m, displaced slightk6f4;mf s2ldbzh3y k 8ly from its equilibrium position, and r2k z8m bkl4s;d3hy6ffeleased. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz when m ikf -2-ba5pjdisplaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity 5 fpj2-bk-i maattained by the mass?

  Two masses, A and B, are attached to different springs. Ma a+bz 1s+teo7ass 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 st7asa+bo z 1e+peed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended onvh*q4q8glrt6 : c+fg/- kprwl a spring. In equilibrium the mass stretches the srp +-g: lvcq6 q* tlgkh4f/r8wpring 2.0 cm downward. 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 suspended on a spring. In equilibrium the mass st 9 qh ,l.zjncuol0x:4pretches the spring 2.0 cm downward. The mass is then pulled an addiu.q4jxlco0 : z9l,hpn tional 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 m etb8khvv(*) u5:0vynp1brwb ass stretches the spring 2.0 cm downb8u5rk vpt( 0v)y bnh:*bw1veward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following posizh 9v ;i)ogqv-i67pqjgz c1qfbw :4c4tion versus time equ -g4f q 9)7zz q:hp1wig6;cc4qv ijbovation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeysnmd5(xx j7dzl4. l(so ,d ug1z:gmq;r the following position versus time equat(mdd ugmgsxn,j z .;q74lxrz51 l:od(ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harzia;:oy1rmw5igx:e 2r i2m 0umonic motion obeys the following position versus time equati g ;2iymrw:exmz250auii 1:roon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmoni-nuw. us*m op0hsmpg .qlq7* 7c motion according to the el.w7s-0** uq.mspn7hgpq u m oquation $y = 0.50 \; \sin (18\pi \times t)$ 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 N/r/m1sc5pwazn3 : qrw:m oscillates on a horizontal, frictionless track. At t= 0, the mr5m w: q:wz1ns cp/ar3ass 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 .. gagiqyq9 n:n8kg f(8.0 s. (a) What are its frequency and period on Ea:gaigkf q. g9yq(n.8nrth?

  A 3.00-kg pendulum is 28.84 m long. What is xr6iyo eydy m+29o)s9its period on Earth?

  A pendulum has a period of 2.0 s on Ea5r5tymcmeg obt- w-kq0ln ;.;(ntn8vf ji, 0crth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long.g1 8b7pcad8k9ew)h j v What is its period on the Earcjap98gv b1h7de8 w) kth?

  The pendulum of a grandfather clock is 1.0 m long. mp4;d-ma x a6g What is its period on the Moon where the acceleration due to gravity i- admg4pa m;x6s only $1.7 \; m/s^2$?

  A simple pendulum consists u2tdw u;rq;76qeiid)xspg.+ 47nj k o of a 0.25-kg spherical mass attached to a massless 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. q r 2ti)+uuoiqd6 .de;x g7jp 4n7kw;s What frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisw k2- geer**q +v+eydxting of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period of 3.00g+2xke*e*ye vrdw +-q 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 "sna9 p* rwjzje1/bpshot" of a wave at a given time. The frequency of the wave9 1e wzj*brjp/ is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenc swcav-yvp7o5c 53ne .y of the wave is 120 Hz. What is the wavelengv s.755a3c o- ynecpvwth?

  Figure 11-2 is a "snapshot" of a wave atkmq ka+qex:8yhfw* l73 p r8o6 a given time. The frequency of the wave is 120 Hz.hf*6y7rq: 8apolw+8 x me3 kkq What is the wave speed?

  What is the frequency of a ww8io f-z ,;- hc cd8)ly/.dsl5-ut.q mrembywave which has a period of 6.00 ms?

  What is the period of a wave with a frequency of 15bc /u5u1 p (my-prfjfo 9b:)8avk z/p,ld fxm900 Hz?

  What is the wave speed if a wave has a frequency mbgh aj /j,x6p ;*m 65f8qycqch.bh8yof 12 Hz and a wavelength of 3.hb8ghcjq f*.bc,yx6p/ ; qm6ya5 jm8h0 m?

  What is the velocity of a wa2 ;)9mo*eb h z3 icis+znx;qb1 mj2ndwve that has a wavelength of 3.0 m and a frequency of oe wnm23 1i +*) d2sx;z9jhbcz;mbiq n12 Hz?

  What is the frequency of a 2.5 m wave traveling at 14drct) qq 6-xg200 m/s?

  A piano string of line7ul-+nes 8 qa+ gugme3ar mass density 0.0050 kg/m is under a tension of 1350 N. What is q73m eg+ gn8-u+ual sethe wave speed?

  A string of linear density 6.0 gj.igzba,hd/ : /m is under a tension of 180 N. What is the velocity of propagation of transverse waves alon:hd.ajib ,gz/ g the string?

A wave whose wavelength is 0.500 m is traveling down a 500 myfa(ik x+p oz36j fxx8 ynk;01 long wire whose total mass pn( 6ix3x1 +k;yxfz af jok08yis
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 lonuq -arer4cr xc)9k45eg string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequencr erx 94q5e) cuak-cr4y of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whuhakb b3(0 uq9ich one of the following frequencies can setu3ba0 hu 9(bqk the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wav/:c9k 0ho/w5ldtnlk k e driven at a frequency of 480 o:w9k 5lc /0nkhtk/dl Hz. What driving 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 wo0t-/g./ n kkmpt.gf standing transve /.w0pk.- gkg /tmontfrse wave 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 shk9p- :w*scpt l6y+yl ,o qqt*myl0g(pould its length be if its fundamental resonance frequency is 220 Hz?l 6lytgop+kw ly-s yc(0qq9mp* *,:tp

  Find the first three harmonics of a string of linear mass density 2.00 g/h 7,jy ,ax5buj:u+8f (fi epdbm and length 0.600 m when it is subjected to t jb,(8fe jhdyp7f+u,:5xb ua iension of 50.0 N.

A string of length 2.5 m is fixed at bothbv-7wun1i/ vt:u e vv, ends. When the string vibrates at a frequency of 85 Hz, a standv w:vvtbu/7 nv-u1,eiing 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.