The time for one cycle of a periodic process isx7,-d81srgjmsd.fv7wno l ym x+ :t 6v called the

  For a periodic process, the numbep gj:+ lgp 0pb+,:rbp+x8byvir of cycles per unit time is called the

  For vibrational motion, the maximum )gp5m1fox4yg pl*f ys o-+a m+displacement from the equilibrium point is cag)4+yaff5opl*m +my p-go1s xlled the

  A mass on a spring undergoes SHM. When a -4 lgtzs0)bcpd m)5);ajlke the mass is at its maximum displacement frj0e 5-s)d)tpazgmbk4) lc ;a lom equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equil8;ar;h))p iaianyi2isc n h99ibrium posiian)8h p;) s92irac n;iyha9i tion, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at tv76i. )chc 0pax3b4ifzkoz 0 maximum displacement from equilibrium, its instantaneous accelerationiz ofat 3c7h)0 04x6ickb.pv z

  A mass is attached to a vertical springjw (0bb0t9p3as z. h)yiwca43xsb+aj and bobs up and down between points A and B. Where is bzhbaabsw j+x0 i(sy.j39t3w p) 0c4athe mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spr . ihwvn-ssvw5n w.g:.ing and bobs up and down between points A and B. Where is the mass located when its kinetic energwv.g -iw5wvn.: s n.shy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between poil(i;zoqe.( wr nts A and B. Where is the mass located when (( .;zilweorqits potential energy is a minimum?

  A mass is attached to a vertical spring anp t kcj.75ux:gd bobs up and down between points A and B. Where is the mass located when its potp jkg.t:u7cx5ential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system ./qv.pdh by x,produces what effect on the d .b .x/hvq,pysystem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system pc4kmvwo p44*ooa,x8dea i 5c5roduces what effect on the system's mechanical enack48poam,v e 5xi4w54 *cd ooergy?

  Doubling only the spring constant of a vibrati 315m coyxpsh y u(tj:72vbv3bng mass-and-spring system produces what effect on the system's mechanimob 7vu 3 pvy3c:5hbs(2t1yjxcal energy?

  A mass oscillates on the end of a spring, b/t )jh1y xe* wa*kxwf, xn7y0it0gj.moth on Earth and on the Moon. Where is the period the greag exn 1xwjyjtw7 a/0 )*0,mkh *it.yfxtest?

  Increasing the spring coni m eam,yv( . +x7nwyjyxag-+3stant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's jaym+xw( .i,vy +xmea ng -3y7mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind oflno g/**ee e7z change in the resonant frequency of the s/n*gloee 7*zeystem? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mdnifsz )k)swq2 i66/p:essa-ass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes 6iz ) q i) kd/ps2ssesaf6:-nwin 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 mas0fbux4u c 3rzh6sk/*c/se44th 9hhs ks M attached to a weightless string of length L. For this system, when ufxc4uh3*h4hs9uc // sztr4 shb kk0e6ndergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one comple.z uks*c ,l(dzte vibration.sk,zcuz*( l d

  Both pendulum A and B are 3. 33jhp f ogyqt (+- nm6:5lptmneg47zp0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum3p4(6+ m7h-gge3mtnpof tjln q y5p: z B. What is the period of B?

  When the length of a simple pendulum is tripled, tgldeu:v-f8b c3, rhc rh/6ur:he time for one complete vibratio/gv-rlcbu3: hueh 6f:c dr ,8rn increases by a factor of

  What happens to a simple pendulum's frequency if both itx juku:jkw 15ev)2 v9bs length and mass are incre2ekjvw:1j u uv 59x)kbased?

  Simple pendulum A swings back and fort,bs w:2 tphi3jh at twice the frequency of simple pendulum B. Which statement is corrects2bh3ip: tw, j?

  If you take a given pendulum to the Moon, where the q l3;1p /mlsv3-hu6yoq(es n zacceleration of gravity is less than on Earth, the resonant frequency of thes;3yvo1psn6lq/m z hu3q(l - e pendulum will

  Curve A in Fig. 11-1 repr+c dnb) 21v1h+pq dqurkhv z)(esents

  Curve B in Fig. 11-1 repr9 4uyb 0yj6 e,qz1acszmn5 t7nesents

  Curve C in Fig. 11-1 representsjt6cw duz3,q(

  For a forced vibratiy,oq4:n,+s. yt kzx vnon, the amplitude of vibration is found to depend on the

  In a wave, the maximum displacement op,9uxvh**ylv/ygmg 0g tz4l3f points of the wave from equilibrium is cavgglu*vz9yh0, p4g l3tx m*y/lled the wave's

  The distance between successive cr7;rrghzky5 cwhu 1u;) i/sin 4b7q -tvests on a wave is called the wave's

  The number of crests of a wave passing a p4pyg..+sjf w;u gem3ho y8p-a oint per unit time is called the wave'syu8 y fop h43g+mespw j;-..ga

  For a wave, the frequency times the 6d w)vy-bqocatc0h3* wavelength is the wave's

  The frequency of a wave increasm j kdy/1qo)8qpw ;;sles. What happens to the distance between successive crests if the speed remains consta 1 )8;qyjm; /dklwoqpsnt?

  A wave moves on a strxt 4q0)(pn pc:2byx m gn+pw5ring with wavelength l and frequency f. A second wave on the same string has wavelengyp:xn4pq 05r )nxc+pbm 2w( tgth 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave onj a, xd7.(knsr ,: l r(d97hhfsfp1jvf a string of length L, mass M, and tension T. A standing wave is set up. Whic,lrf7j7 v.hns91(jrf p d(shxdak:f, h of the following is true?

  A string of mass m and legpzoq;)7; :0mtquv( zzuq;ls nfj :z( ngth L is under tension T. The speed of a wave in the string is v. What wilvfzz;:7;sozuq jn(m)ul ( q;t0g p z:ql 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 speed ouj( 7kex9xs67bxi+ t hf a wave in the string is v. What will be the speste(6ub77ikxx 9x+ jhed of a wave in the string if the 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 wavkwz0ynk;t 5 9x ug *+titso/i3e in the string ik tg/; 5iuyi*ns+9tx0wot3z ks v. What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wax r( osoj8pi9wv*;n6pve. As an S wave travels through the Earth, the relative motion between the S wave and ts rvx9w*p o6p8ino(j; he particles is

  In seismology, the P wave is a longitudinal wave. As a 0 1hy 7bhvl6neif(rv( P wave travels through the Earth, the relative motion between the P ( b vfleirhvy60hn7(1 wave and the particles is

  The intensity of a wave i7c.ryi( puk0z)cfsmf;8u n*afz0f; e s

  A wave pulse traveling to the right along a thin cord reaches a discojeys;0qb2-w9bb sem 7 ntinuity where the rope becomes thicker and heavier. What is the orientation of the reflected andw y eb2s ejbb9-;0qsm7 transmitted pulses?

  Two wave pulses with equal positive amplitud. r7 c/fzb,hyzes pass each other on a string, one is trabz/7h czyr, f.veling toward the right and the other toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. 5ywy 7q9e cfxq/j0f) tlta;* i The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negati 9/7q )5ejtx i0qlf* ywfytc;ave 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 ends, occursqeda8 3/ hij2kc/1ckqx)rje 7 when

  If one doubles the tension in a violin string, the fundamenta sw;dvmr+r 7a9l frequency of that string will increass w9+m;rrav d7e by a factor of

  What is the spring constant of a)skn yyzc;6nn 3j gny o),(sj5 spring that stretches 2.00 cm when a mass of 0.600 kg is suspended from 3no n,ss (cn)56 ygj yznyjk);it?

  A mass is attached to a spring of spring constant 60 N/m along a hwl7dv:;q-ph rkj7(koho. 2 xp y*y/ylorizontal, 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 osok/* h2l -qvy;7p(x.jylk7hrwd :py ocillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fri. rm j/6 .3rxny3hn ykmltah/7ctionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the m/ylkhhtma nr .x73r/6 ynm3 j.ass 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/3c1;6 llx pqpam along a horizontal, frictionless surface. The spring is initially stretchedx;qac1lpl3 6p 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 throuy/e8 3,mst /gl*5cil yu2jxcigh 10 complete oscillations in 5.0 s. What is y y5ljs*cc8/g/u, ixi23tel mthe period?

  A mass vibrates back and forth from the free end of an if ;.r,kfsp 3g-p:mb ggdeal 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 equilibrium position?f s -.bkrm,f:gp3ggp;

  A 0.50-kg mass is attached to a springreblzei(x:04u9:sai58y dl c 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 equilibriuml(ea8 ludy5ir9ib :c:sz4 x0 e position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm.5xc ck8d*y;,3iv3 xk cr8j pmi The 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;ydpc53rixk3 8 i v mcjc*8xk, cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring co;z/o- mnb h2;fxjssiw -n2 e9vnstant 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 positibovwe; mi s 2jz;9/2n-n sh-fxon. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alob-xbhct;za 6,2 h,ux xng a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 ubh,z;-ax c,x26x htbm/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 spring constant 2v -t+ qwd rj.5)zmkyh50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the totkh w+2 qjtr zyvmd)-5.al mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring ofxg4a3 +nkq- n oevq4y1 spring constant 50 N/m and set into simple harmonic motion with an ampl kvog-qy4q n41en+x3a itude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end oako wat.+w (g 1oeh y64lkd+8df an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibratod k.6+kgywa(to+ 4l8a e1dwhing mass?

  The mass of a mass-and-spring system is displaced 10 cm fromtay-3s6d68ux 0;p0khfi4q ktvxpv1 d its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had bets-d ;u vah 8txvk01px0q6yfp i4k3d6en displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring /w*v-,06q qwchb gnqbqc b. 0hconstant 10 N/m. The object ib /bq q0bv q-cnhg0.*cww6 ,hqs 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/m. Tvfm7 )wab -d)7e+qvr ghe object is displ v)77+ ewbdmqvga- f)raced 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, displace7 (xjm,vzxb+b8/e r nyd slightly from its equilibrium position, and released. Wr/eb bxm7j8v+y( xn ,zhat is the frequency of its vibration?

  A mass is attached to a spring. It oscilllbbx8tx t7: j)ates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximtt): x87lxbjb um velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass Akb 8 7okbbo 96u-.dgsc vibrates with amplitude of 8.0 cm at a frequency of 10 Hz6kus8o97bkc gd. b b-o 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 equilixu,8bk r9qn)/8vcl; ,m9hurkb6z02s jbeiw nbrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down andek ,,jmk9 8q9u/6lw2 rbhu 80ns;i)znxbr cbv released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretche atzdece4 wf1+t ;.-kis the spring 2.0 cm downward. The mass is then pulled an addit t4.kz- ewetai;+cdf1ional 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 equi;)qb z5y4y tm dwq) has2vbe2*librium the mass stretches the spring 2.0 cm downward. The mass is then pulled y))hbdb2a 4w2 q mvztq;5ey *san additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic 2b41kqx fi6kf motion obeys the following position versus time equation 4fk6 2qb1ikfx:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time 20;)0pbq 2fu nped2ylhgllv0 equation2bg elu)d f2l2n0h0q;ppl 0vy:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motio57d-riud+ (tb hhpc5fi(y6 hun obeys the following position versus time equati5(h 6h(5cpy -ruiti7 dfhbd u+on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end orw48 s6wu:+uk9nl vskf a spring executes simple harmonic motion according to the k vr 9:+6uw 8k4snulswequation $y = 0.50 \; \sin (18\pi \times t)$ 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 fou-i0mqm8d6 z rrce 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 cm.d- z0uqrmim68)
(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 b+a7hv*5jkp, lk (o5k3vyl gb0m i)bqcomplete swings in 8.0 s. (a) What are its frequency and period qk30 la)k57 (mov+gj,y hbbivp 5bk* lon Earth?

  A 3.00-kg pendulum is 28.84 mp+d (18z)w/hur jcp diy2ovb0 long. What is its period on Earth?

  A pendulum has a period of 2.0 s on0+hpo+6im ir7mbfz u0 q2;ckd Earth. What is its length?

  The pendulum of a grandfather clock /6:a eohinf0 vp4uq, fis 1.0 m long. What is its period on the Earth qo/n f0 pfa,ui6vh:4e?

  The pendulum of a grandfather clock is 1ge hx y9k ztti538-4+-fqomn f.0 m long. What is its period on the Moon where the acceleration due to gn-iefzt3kt8hmyfog 9 q45+ -xravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a rfn ,1wbgy*wx36pb 0 p0.25-kg spherical mass attached to a massless string. When the mass is displacedwp1b6,r*f wygx0 pn3b 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 of a 20-g mass has initial angular displacementq,-/9, fo0u 3ydbah5 ef+2bnrgzp0uonl,m z s of 8.0e.nf9pbq5sdm /0lnzy,ao- ,g bu2zoru3fh , 0+e 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 given time. The frequen-nem 4bpxxelsi jeh ye7;3j f50dc07(cy of the wave is 12phdxcm ejje0n sf0 ;7x ( 57ieb-e34yl0 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. Th 492ls8vkufwi :k+u txe frequency of the wave is 120 Hz. What is the wavelengths 2v48uwl+u ix:kf9kt?

  Figure 11-2 is a "snapshot" 1n(jog 9r7vryf/i 3eu of a wave at a given time. The frequency of the wave is 120 Hz. vij ufone 3r /ry(9g17What is the wave speed?

  What is the frequency of a wave which has a period of 6.riof33ts( b 8seh3 q du,f2d-n00 ms?

  What is the period of a wave with a frequ)vc+-i c6anf lency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and amt rc1kytk8 :) wavelength of 3.0 k 1c) rtm8:ktym?

  What is the velocity of a wave that has;mrvpym,7 j5a a wavelength of 3.0 m and a frequency of 1 r7vm ,jm5;pya2 Hz?

  What is the frequency ofazy xgz q-7) le5a:r2o a 2.5 m wave traveling at 1400 m/s?

  A piano string of linearu0d9ditm do) 4;muc+r mass density 0.0050 kg/m is under a tension of 1350 N. What is the wave ) uidd;m90ot+du r4mcspeed?

  A string of linear density 6.0 g/m is under a tension of 18/ u fwoc r*8*5mq+htbw0 N. What is the velocity of propagation of transverse waves altfu5ow 8bc *qrm/h+*wong the string?

A wave whose wavelength is 0.500 a2s jt 6vy.7va6/ *kuyd acl)f:oc4rwm is traveling down a 500 m long wire whose totsratkjd6 uoc7* f:2/a6c)lvw.y va 4y al mass 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 tranr.q 6udagvd,n lxonz6 lt57bh*8y4;msverse 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 frequency of this strid m65lq7n.4l boz ;8gutxrda n*,v6yh ng?

  If a guitar string has a fundamental frequency of 500 Hz, which one osa(*4.8 bb neeu6vil af the following frequencies can set the string invu8i.l 4a b (beeas6n*to resonant vibration?

  A stretched string is observed to have four equal segme i)w;ef1sqqv0nts in a standing wave driven at a frequency of 480 svi f)0;qeq1wHz. 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 ydyb y 3(:uf,.cue/dnamgl:mu.( dzb2t 5k k0 with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave a 5 bfm.3 /zy0d(2yu.k,mbdd (cgkun::yuet lpattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension o 3.yahrli-1+b tll, xcf 20 N. What should its length be if its funlaibctr1l h .-+l yx3,damental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mas7x 6kyhwh3yv 65ziri :s density 2.00 g/m and length 0.600 m when itxz rviw3 6h hy65iy7:k is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string la 7gzpg/3hd;vibrates at a frequency of 85 Hz, a standing wave with five lozpggl7a/ 3 dh;ops 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.