The time for one cycle of a83j7fk twf2ko periodic process is called the

  For a periodic process, t .v64pz 33qhb3p x0papp1g 9sf3yiq fvhe number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilv(fuo5guh; 9xibrium point is called the(u f9xgvu;oh 5

  A mass on a spring und).g5 xmlq) wjiergoes SHM. When the mass is at its maximum displacement from equilibrium, its instantanilx. )mg )qjw5eous velocity

  A mass on a spring undergoes SHM. Whej ljx1wz :kz3 hgs*p+6n the mass passes through the equilibrium position, its instantane:w*3j1zgjh 6kps+ z lxous velocity

  A mass on a spring undergoes SHM. When the mass is at maxi)jzu ejy. t/2emum displacement from equilibrium, i/ .ez)ye2 jjtuts instantaneous acceleration

  A mass is attached to p 4hfh.f5nt -f-wsc2aa vertical spring and bobs up and down between points A and B. Where is the mass located when itp-4.-h h w csfaft5f2ns kinetic energy is a minimum?

  A mass is attached to a vertical spring and bo xs39mj:/pv+kfxml (b bs up and down between points A and B. Where (f 9lvjkm bmx/s3+x:pis the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betweehbrtsk 7o*/ i/1 pq,1s;mauet n points A and B. Where is the mass located when its potential energy is a mi11,pob;q7ik tes sha */tmu/rnimum?

  A mass is attached to a vertical spring and bobs up and down blmvm)coh2 5 l2etween points A and B. Where is the mass located when its potential energy is a maximu2m)cm2h l5o vlm?

  Doubling only the amplitude of a vibrating mass-and-spri4y b2euyxi*7ix( 4pcnng system produces what effect on nc(7 uyi*i42px yx4 bethe system's mechanical energy?

  Doubling only the mass of a vibrating mass-andp5xknu2 ee0+w -spring system produces what effect on the system's mecha ewnkpx2u5+e 0nical energy?

  Doubling only the spring constant of a vibrating mass-and-sprin 1ceb-- :9sgtnu q/bolg system produces what effect on tbtl/9s oe -n:guqb-c1he system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on)4 3 0rv35 ajvcvmppwttj5(wl,7 jikf the Moon. Where is the period the grewvcmpf,j7 jj 5itvtv p(5a0k3rw3 )4latest?

  Increasing the spring constant k of a mass-and-spring system causi +2 riw1f q5 zg(fpk ht:g 6q7p9kpfha06ead(es what kind of c 0t i:iqpfkez(ha9(+ d26 faw16rkpfgpq7hg 5hange in the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-sprq2js3 i e 0y(wr 6alp *oaagf*gpd7;7king system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's sprio f*rd7 algje2 76; 0qys( ipkgwaa3*png constant k.)

  Increasing the amplitude of a mass-and-spring system causes q (ounbtk;o7akcv5) * what kind of change in the resonant frequency of the system? (Assume no other changes in k qa5otvk(7*;)ucn b othe 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 + w iiw/3ifh6hb* t-:he qit9mM attached to a weightless string of length L. For this syhwith/ fhm -i*3 9:eiiwt qb6+stem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time requia :78p jgh)ttf qyi9h8red for one complete vibrationh 8jqt97i8gt h pf):ay

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twicp .h sfdj24.lge as heavy as pendulum B. sj. fhdlp.42g What is the period of B?

  When the length of a simple 7mig+)* nzvr4ek7c /g.hnzb ,d6kv tg pendulum is tripled, the time for one complete vibration increases by td6bn kigk. vc7/hrz)z7e+nm* ,g 4vg a factor of

  What happens to a simple pendulum's frequency if both its ll yiul ednw k:wxr)23g4wo+:7ength and mass are increogk4+rw )ily2lxw e:un7w :3dased?

  Simple pendulum A swings back and forth at twice the frequency of tqgxre6wno; v*6v* db.+1rqksimple pendulum dv qbr+*;kxq 1. vet6og6wn*r B. Which statement is correct?

  If you take a given pendulum to the Moon, where the acceleratio g r . sqpemyo3fg5jk,4p:d*8nn of gravity is less than on Earth, the rr8pn: 5o3*fypmd 4 g,jeks.qgesonant frequency of the pendulum will

  Curve A in Fig. 11-1 representzl9w dpu k9z:;s

  Curve B in Fig. 11-1 repr+g/opotpz0ixe -wi o0 t*o,c6 esents

  Curve C in Fig. 11-1 represents q gs5o3 /274o vy0uetdjlu,lg

  For a forced vibration, the amp *n l4y)xns 8abuxpn40litude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wav8n3aa w.rd7 aqz )x3xue from equilibrium is called the wav xzqna7.)d38ra wx u3ae's

  The distance between successive crests on a wave is called the ,zc)f ;i 4e agjd52rfnwave's

  The number of crests of a wave passin:q ucu;e:wp2 tg a point per unit time is called the wave'sweuq: p2uc; t:

  For a wave, the frequess4qx07leo 4*,acjuxz b b5n* gv)+vsncy times the wavelength is the wave's

  The frequency of a wave increases. What happens to the distanced ,o1a7od maidmw2m3( between successive cre ad1da,i73o mwod(mm 2sts if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on theohnro0tvo5fgl9.6+v;u* uk u same string has wavelength 2l and vunvourlftou.5+* 9ho 0 k;6gtravels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a spg i9wivws-8 -:4cg cttring of length L, mass M, and tension T. A standing wave is set uc:wctp8i9vg-s4i wg- p. Which of the following is true?

  A string of mass m and length L is un g r3p6wlyk(z*der tension T. The speed of a wave in the string is v. What will be the speed of a wavelz 63r*(g wpky 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 ;p5h/ bzvpe1funder tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if thh/pp1 z bve;f5e length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a u lk7v q,,ogvl fzi*)-wave in the string is v. What will be the speed of a wave in the string if,vqllouv)f*- i zkg7 , the tension is increased to 2T?

  In seismology, the S :s +zbiml-kc) wave is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the particles is-)k:+lc bimz s

  In seismology, the P wave is a lonk1s g6 ntunfebc2 7p4ug(ox3* gitudinal wave. As a P wave travels through the Earth, the relative motion between3gp2(nus7e6c kun x4b1o gft* the P wave and the particles is

  The intensity of a wave i1 chkcbw3q8h 5 q)p qb/ ;f+otvuh.8cgs

  A wave pulse traveling to the gg lg:dr4*x9nv4idf ;right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of then gg; irlddv4*4:xf g9 reflected and transmitted pulses?

  Two wave pulses with equal positive amplitws s4zg0ec z+c/s +xh4udes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of spasg 4/she 0sw+zz +4ccxce at the same time

  Two wave pulses pass each other on a string. e 1:adv pmqbu5glo*-3 The one traveling 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 pe1:*3- omgub5vl qd aoccupy the same region of space at the same time

  Resonance in a system, su4: mzyxf*gn+ snfvp00 ch as a string fixed at both ends, occurs when

  If one doubles the tensiw.mkk7 8+zr rdh3v4cigd( d5 oon in a violin string, the fundamental frequency of that string will incr58rr(iz73d4+g kwkod dcmh v .ease by a factor of

  What is the spring constant of a spring that stretches 2.00 cm whe,rxx kc)+ (uj(oavaf *sb 3tho.+li 7an a mass of 0.600 kg is suspended froic 3k7o+t sjoxlv,xa (ha u+fba r).(*m it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fri/ gg5 qr6tt6i1itihsl(v quh53wc7 p+ctionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mas1r+t3sli(i6t5 /g vi quhqph 7w5g6tc s 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 horizonas5qu xy-j 97:cnmf*mtal, 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 posiq:xn79y amu *-sj5 cfmtion when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant a:ow ud,. sbh*60 N/m along a horizontal, frictionless surface. The spring is initially str.,a uo*: hwdsbetched 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 10 complete oscillatmffm3ixe kyeynl+ 0)1: odtp*6*q5vd ions in 5.03 d ke0 i5 *xel* 1vmqyoymt+6pn:f)df s. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spr hw bin.kxrdua;7p,gfd /4li( kn)*)ting constant 20 N/m with an amplitude of 0.30 )ahnri )wgkb(kfnl/ ; 7 xddtipu., *4m. 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 sprinuw. b2/ tk(czzg of spring constant 20 N/m along a horizontal, frictionless surface. The objec(.ckzzu tw/b2t 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 system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 Jyenr2e /ez jivov.:0aymi(:+qk 6gk; at this time. The mass is cut in half, and then y6g o+e.:;e2 /rim(ke: kaivjyz0vq 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 tol jl no:jvwn;2f8v)ux 09zxa 7 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 equilibriumxjj7xn29wvn ) o8al0;fv uzl : position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/b9/s-8ju9i1b ytynxd 89 hdxtm along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 udt it/8y9j-d8syh b 9xx9b1nm/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 mysk/xwqkfx3 efw wyw;j-8dd 33m ;52 a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude wfd qwyw /33d emf;- mx2j3 ;k5w8yxskof 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to wxnub* dbd-( *the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplit*(-*dwb b nuxdude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the sgcmi sl+:p z1t10, nefree end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic ener igp+ecs sm1n, t0:1lzgy of this vibrating mass?

  The mass of a mass-and-spring sysq8l x0h1u:8s2z 2wfvucl2 f.fx3 :oge ztiba+tem is displaced 10 cm from its equilibrium position and released. A frequency8 lzc+oeut3l0 xvxs:.:2 awhfuq2ibg1ff8 2z of 4.0 Hz is 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 att u-p) zylmu9-q fw *x:aqmc; zvqb.f+5ached to a spring of spring constant 10 N/m. The object imbpxvcl;- aufy +qf)qwz-*5.q : m9zus displaced 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.;bq01 g+lwvld ;rssu/m. The object is displaceds. u;wrvl+l0s;q gb1d by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is huna) 38x(frett sch5 f3q, :zxhcg from a spring of spring constant 18 N/m, displaced slightl a,5 hqt z(x 3:f)xfechrt83csy from its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. I/:(7riknnj) 7 pkkrov t oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilib7nkj7pkki:rv r) o n(/rium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrateixi(*i wyq .1zhjf*0n s with amplitude of 8.0 cm0ifzjx.i1w yi( qn*h * 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 .aedb 9b2-qqgm vf/ 5aspring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an addaeba 5 vq9-q2/gbm.f ditional 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 stretches the sap;at /vg nygmx(s,3)pring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released )vx yp(/na3 ; ,agsgmtfrom rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibri )3x v fdd5m5 sd2k-sbkxbzr64um the mass stretches the spring 2.0 cm bk3z bv54s d- mrxd25kf)xsd 6downward. 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 position versus t d0 n)abo)glot-/j;yeime equa)y; oa go0)bdn jl/et-tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus ti1x nv8 wybpj aa8wz6te++sbwod ;.4d -me equat1 e.a dpn8db-s+ ;tw 4z b8xa+w6jwyovion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys thr-2f sfm1ptfc s 49o,-p rl1qze following position versus time equacq,zpt ffrsmf941 lo1 - -psr2tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free en((wb/,h:4;x*sph xni fta vd sd of a spring executes simple harmonic motion according/spx,nhfi b;axw4(sd( *h:vt 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 constant of 20.0 N/m osciltn w9gj -w-s4l foti:5lates 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 c 4tiowg l-5swf-njt9:m.)
(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. -j,3liuz+/75sj w d0pw va irg (a) What are its frequency and period on Earthpu rjsijiw wdgz-v0 la+5/3 7,?

  A 3.00-kg pendulum is 28.84 m d1q;obx.o m(w long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. j7p.jgrkh:vgw1zb i( 8 f 9l7f What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What islc4 ciy7y(f hq (q8xqe6 alh;( its period on the Eart7((q8l4( c qfeilhh yaxy6 q;ch?

  The pendulum of a grandfather clock is 1.0 m long. What is t9;y7,5.;t,vhrahb xo ugexj its period on the Moon where the acceleration due to gravity is obe,y5;j 9 ;uhogt.7a t,xxvrhnly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attachedp0ce-fndu. 1d 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. What frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?ed 10upc.ndf-

A simple pendulum consisting of a 20-g mrp 3/fcn 40ctsass has initial angular displacement of 8.0e. It oscillates with a pe t/fcncp4 sr30riod 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 "snapsh:(j8:t f zkbdhot" of a wave at a given time. The frequency of the wave is 120 Hz. What is t(jbd8f z th::khe amplitude?

  Figure 11-2 is a "snapsh x/of;8its pd4ot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wavelength?xp sd8iotf /;4

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency g1 ul6n b4l:mqppwz6p yd77jt46b s.fof the wave is 120 Hz. What is the wave spee.n4lpp y47 1fld766stwugb :qmj bpz6d?

  What is the frequency of a wave ry/i r7 m.kr0ovwya+;which has a period of 6.00 ms?

  What is the period of a wave5zlv gjw3ozs 6 0c9e3x with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequs7:n g6bazhp sz56gz 6ency of 12 Hz and a wavelength of 3.bgspzaz6:7 sgh 65n6z 0 m?

  What is the velocity of a wave that has a wavelengpd7y.q (edwv zf4,x3n th of 3.0 m and a frequency of 1(f 4x. dq dpe7yz3,nwv2 Hz?

  What is the frequency of a 2.5 m wave travelingc(i.vg e- zx)f at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under n.kkbwna;h0m2 1.pe0gqlh 10xu cri, a tension of 1350 N. ,00khec lrpxi1qk a n01u; mb.2.ghwnWhat is the wave speed?

  A string of linear density 6.0 g/m byf d5r5iv/2 58jumcw2ic :+ f b4fnmzis under a tension of 180 N. What is the velocity of propagation of transverse wa ni:5yimv j 4d/b5+ 8umrc5z2 fwfbc2fves along the string?

A wave whose wavelength is 0.500 m is trav4us6dhhd )0 rleling down a 500 m long wire whose total ma)4rld suh0h 6dss 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 ont+ rn4 pbmbj)d0fr3.uazz 0m4 a 2.0-m long string fixed at both ends is 200 m/s. Which one of the+urmzbjd .ra3 fp0z )0nmbt44 following is not a resonant frequency of this string?

  If a guitar string has a fundameny f0 cn8v/(o 7v(yagbbtal frequency of 500 Hz, which one of the following frequencies ca0v v abycob((8yfn/ g7n set the string into resonant vibration?

  A stretched string is observed ts:yh/scmj,dvc2 e/j4 o have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segm:v s/dc/2 ,4yhjmecjsents?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standcokf- mw17 mo:ing transverse wave pattern containing-mm 71kowcfo: 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 ;vp xu;y7,y;oq 7it dk5rob,t. What should its lengt7q iokxtpr ,,b;;7vy5 to yd;uh be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mxqg b63)n(co.v qwa8xass density 2.00 g/m and length 0.600 m when it is subjected to tension ofa(x3 cx)q.n 6wgoq v8b 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates o p0(y0almc/ ai3vat1at a frequency of 85 Hz, aa1v malpci/0t 0yo3( a standing 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.