The time for one cycle of a periodic pkjpn gppmnt/v)+( c*t8m cx72rocess is called the

  For a periodic process, the number of cycles* v8 z/c66(l -pwe n8tr7hxb.6xcuboc. geoqc per unit time is called the

  For vibrational motion,t,x0ya qfwb-u ) 1rk2mf (zap9 the maximum displacement from the equilibrium point is called pwzf 2mx1kq(y,ur9afatb 0- )the

  A mass on a spring undergoes SHM. Whenaf9m m ygd(lbv3hu4*e9ds fq3d--h t . the mass is at its maximum displacement from equilibrd9b-l3mshtm v dqd .uyh3f* -ae(g9 f4ium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mas kq6d7upi ,vh,s passes through the equilibrium pos,,u k qp67dhivition, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacemz9dd ps fy/8:mp20ks 18zooo oent from equilios1 d:szkpom2ozp08 / of8 y9dbrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points ,xd bwv(l:t7-orv 4bm A and B. Wherdmbvvo xw-(7 4,rltb:e is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and d9kauqd i)die.mkj+ld 7a6c 2, own between points A and B. Where is the mass located when its kinetic76,. k+dd kued maj )aiq2l9ic energy is a maximum?

  A mass is attached to a vertic/79 xx8iaos wgal spring and bobs up and down between points A and B. Where is the mass located wheo/x8si 7a9x wgn its potential energy is a minimum?

  A mass is attached to a vertical spring and6mia c05glrv* bobs up and down between points A and B. Where is the mas 0a6lrimvg c*5s located when its potential energy is a maximum?

  Doubling only the amplitude of a vibr:1sgj .ijr.jcr s*sf + x4zd*nating mass-and-spring system produces what effect on the system's mechanical enrdc1jz. fiss* * g+.jr4s:xjnergy?

  Doubling only the mass of a vibrating mass-a0kla+/i25 kqgdd+f e .s4od)us h xl5xnd-spring system produces what effect on txlus 0qga olek2./s i4fkx)+d55dh+ dhe system's mechanical energy?

  Doubling only the spring constant of a vibrating bz6o* u: domzz,5j7ka2m dy6rmass-and-spring system produces what effect on the sys,udmjmr z*5y7a6o kodzb2:6z tem's mechanical energy?

  A mass oscillates on the end of a spring, bod 3ivh*oga.jm.w hi 87th on Earth and on the Moon. Where is the pm*jh g. h7d a3iivow.8eriod the greatest?

  Increasing the spring constant k of a mass-and-spring system causes whatwo6+1x. rho-adxggz ga3 f+u, sufy17 kind of change in the resonant frequency of tho7 grxu6 awaxo sfdh1+y+,3 .u-1zfgge system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what koyv 3 s+e6nk,ses35s nind of change in the resonant frequency of the system? (Assume no ks vs ,y3sneen56s3o+ change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes c x p/j+3zi 1osxpf;-mwhat kind of change in the resonant frequency of the system? x3ppo jif-m;zc +x1s/(Assume no other 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 to a weightlesskjgh61)5p eaqj;6j ss string of length L. For this system, when ukh6q6)5gs e aj1j jp;sndergoing small oscillations

  When the mass of a simple pendulum i5zrd u9x 0- rmhwrg-3js tripled, the time required for one complete 3 wgd9hj --0rruzmr5x vibration

  Both pendulum A and B are 3.0 m long. The pt 4sm;s:n8/mglb 0ofm eriod of A is T. Pendulum A is twice as heavy as pendulum B. Whaon/g8m 0 4sm:;sftmlb t is the period of B?

  When the length of a simple pendulum is jler7aj8 m:bvh4 e0 uq,6 a6wdtripled, the time for one complete vibration increases by a factor6ae:r,alvej 6 hj4m07u8dw qb of

  What happens to a simple pendulum's ,xy3uask - 5rjfrequency if both its length and mass are increased?yxk-s uj, a5r3

  Simple pendulum A swings cc+mj1/4 gzy5 -qs(g ;vs:vi)yoi6m b haxm:i back and forth at twice the frequency of simple pendulum B. Which statementzg5b6a;s- v miqh: j4m(cxm/s gy)yi 1+: vioc is correct?

  If you take a given pendulum to the Moon, where the accey4b3y 0csh0kk*e m.ycleration of gravity is lessksy0hm.cy e3 4* y0bkc than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 representszi7b6ei, cibdw 595uz

  Curve B in Fig. 11-1 repreu ue+m3fy6 re8ts1c.c sents

  Curve C in Fig. 11-1 represents qoi/ n1t1t.0rs1uz lt

  For a forced vibration, the amplitude of vibra/nr )2*is0snduebh-k //zzzr tion is found to depend on the

  In a wave, the maximum displacement of points of the wave from equili s/iz2 e(avhfcy-4a txe5ik8 q. bv j1t45d.jvbrium is called the bxa4 /h24vzv iav e5.fdy.c 8 1et(tj-i5jskq wave's

  The distance between successima t 34iux3kwa: ea7c3)0hl zbn9t4xrve crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is cfr:a088 tquwaovn ukxh9n+uo 33b;x0alled the wave's9on:x8ku8 vq 33;wfau0b0 r xtau+nho

  For a wave, the frequency timesta* cy*q )cmz5g5aa ,mf158e .hzquei the wavelength is the wave's

  The frequency of a wave inc4 2e9ol eqgqsj*q7t* ereases. What happens to the distance between successive crests if the speed rqgl 9tq*j7s q2e4*eo eemains constant?

  A wave moves on a string with wavelength l and frequency f. A second wa0)*lr366; h6sojwbpk a icsvgsg2w e5ve on the same string has wavelength 2l and travels with the same veloci2l0pb;ks joa3 * 6si)cwgr w6s5ghv6 ety. What is the frequency of the second wave?

  Consider a traveling wave on((ppdj :*hkdii b0t k8 a string of length L, mass M, and tension T. A standing wavkt( *i8p dk:0p (ibhdje is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of ayy lw+hgv7:szewu.11t:7expx) fnhv3 :m b o) wave in the string 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 le :efn hxb:op)w:77uv1+1 xye)g hv3yw.tsmz l ngth?

  A string of mass m and length L is undq:lvz;t/z/zp*i w-yw q 0e v/ker tension T. The speed of a wave in the string is v. What will be the speed of a wave in the strz/:zvpe /k/w tvw0;yq*i -zlqing 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 wavpu8k8r,(; pws25z/vh- mrk-d dq zhjh e in the string is v. What wilku(r /5v2-hhk m8z, j p;h8 qpsw-drzdl be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As ap ju(8 oi)teq+n S wave travels through the Earth, the r+t q (e8oipj)uelative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travelscf*l9j2xeusbw pf9re o 8z+j, cwg (+/ through the Ear /c p9zc(xee 8os+ffrjj+wlw* 2,bgu9th, the relative motion between the P wave and the particles is

  The intensity of a wave ic5;unc/ il;id-i tc4+amvhax5o /8 y rs

  A wave pulse traveling to the right along a thin cord reaxw.fi5 o5 g23mv6j wcxches a discontinuity where the rope becomes thicker and heavier. What is the orientation of tc62 w5og3xxmj.f v w5ihe reflected and transmitted pulses?

  Two wave pulses with equal positiveexi ful8odw. jg81u7/ amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy ld81gx/. 7oije8wuuf the same region of space at the same time

  Two wave pulses pass eb kj, +xkf7); sa8rg(zyzlv)z ach other on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude8zz7;gfbz,l)kvy rj( +ks) ax 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 1tk cbdxt.5mhzu68rc03o+l o y3f n)uboth ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency of thad9r v; dm3wk08kfhduv ;bm 9k qr5l04 ;zr6wzct string will increase by a factor of;;flr cmd rv3krdhm z0w 95q4 k0dkuw8z; vb69

  What is the spring constant of a spr1iukru hyks7+8a)aa,p j.y9c ing that stretches 2.00 cm when a mass of 0.600 kg is suspended fromjr9au.yhk)8 u 1asi a+7,kpyc it?

  A mass is attached to a spring of: -zyul7v/lbh5 iaz z; spring constant 60 N/m along a horizontal, frictionless surface. The spril z;bv a 7zi-lh:/yz5ung 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 amplitude?

  A mass is attached to a sv2/mxv , v9behpring 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 posih,v 9 bvme2x/vtion when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring consta;fi( 65pr dfmeelno( ) 8r.rkynt 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 oscillating. What is the frequency of oscillatf5i;o(rrer dkl(8ey 6p)mnf. ion?

  A mass on a spring undeh+ ifd)t16rvz rgoes SHM. It goes through 10 complete oscillations in 5.0 s. fihzvtr6+) 1dWhat is the period?

  A mass vibrates back and forth from the free 7pij6) / rk /;dki9wna/sszfu;bub (w/fho0p end of an 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 itbfr9i//kjf0);(/ zk;p uh /sus paw67b niwod s equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alongkiorlf7j4o 7de)t7t- a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at47fd7ol tto7iker) - j the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy isu ha ,sjp42q0n 8.0 J at this time. The mass is cut in half, and the ,pq4h a20jnus 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 spring of spr hyd( m91cj:gming constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s1mmg(cj h:d9y at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached taxp4 u-onpp.5f8-h au o 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 1.5ua.papn 8p--4hfou x 5 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 tw 2-mkzyk-d mgfp9 )0she end of a horizontal spring of spring constant 50 N/m and set into simple harmonic 2gwfk -m )9pskd-z y0mmotion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontaa9jsh.u6mpat cue79 ) l spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total u9)tus9ac j7hma p6. emechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of spring cu uiot1n3vum - z:h.v7bl**ntonstant 20.0 *37b.t uhl:vu v1znnom -i *utN/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is disp7u)ugtc cx.r:laced 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 tccu7t g.ur)x: hen released?

  A 4.0-kg object is attached togpqi/1. qpem.z9 o-or a spring of spring constant 10 N/m. The object is displaced pz.o-/qm1 qr o e9gip.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 seze8m85h u7(0f 4hzu1vfd rncpring of spring constant 10 N/m. The object is displaced bym 74ufrvn 1hhzfed8uz 80(ec5
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 zfm8/ fa+ci.(kggnb;f.dc4q2 u: cy t spring of spring constant 18 N/m, displaced slightly from ifat u. cf8d ;gkbyf: m(i+nq4.c2/zgc ts equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequencgp hc*5yy g64e v,aaszhe+0- xy of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity atta hc4p0*5a6+ sya,ve-xhz geyg ined by the mass?

  Two masses, A and B, are attached to different springgawq1fw3a75o s. Mass 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 speed of A compare tog1f 5q7aw3ow a the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stret 8ivnvsrl,e*0 5xag2nches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from re20s8v len5 xr,gn* avist. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibri9-zw. .ym,or 98kawcz eo(zyh um the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and . e.r-ah(ky8o9zw9omc w zzy,released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretcxp2bz/mz8,6c b9xahea8xv f.o ,6gr whes the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Wri8 a x.6wvzh ,bm9fr8gob6z, x cex2/apte down its equation of motion.

  An object in simple harmonic motc x2p /h)hgqz+dcqzn:xf +3ps9gk5-eion obeys the following position versus time equc+-/ h ehxz)325g zpk cs+qpxnqf9d:gation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followinga21wq 99 iidrmqk6n r3 position versus time equaid1rkw962 q qinrm39 ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following pos0 sl pau) (hzd yl (nco)0y1hf*q8zwwj93b9udition versus time equat z 0*1d p3ync 8)0ljbdhaw((su)uywzq9 o fl9hion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic m c*y08vc:g auootion according to thecv :ag8 *co0uy 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 qjq6 pnx0mb8 fk2k;0sspring with a force constant of 20.0 N/m oscillates onm2qp s jfb6 ;k0qx80kn 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.)
(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 +)xorv/ g/ch hs lib,*iw w05kits frequency and period on Earth?,l)ox/ c i*wv0/5hk hs+ ribwg

  A 3.00-kg pendulum is 2 3s1den gjojd2 5/w8bn8.84 m long. What is its period on Earth?

  A pendulum has a period of 2.s:0nn/:sul eq( *bf ki0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. Whaunno/wd.9bcl 53vtg)0i tcnh1(ji,j t is its period on the Eagi, wc9t. n(biuv5tcnhl /jo3j0d1n) rth?

  The pendulum of a grandfat5ni85 2j a fiyw8 smn:qyfsm).her clock is 1.0 m long. What is its period on the Moon where the accelerat 855wmmnysqfn.)fy :sii28ja ion due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached -i cim(tge73i to a massless string. When the mass is displaced slightly from-te 7ci3(gi im 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.f/wln7f p)3b6r+q+lespbr a -g mass has initial angular displacement of 8.0ea3.neq rpb+/l6rw) bs+flp 7f . 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 "snapshotxo 72qem,ex cub 43hp*" of a wave at a given time. The frequency of the wave is 120 Hz. What is th3 oxecm*u427p beq,xhe amplitude?

  Figure 11-2 is a "snapshot" of a wave at ac *icmk o/*dbo:a jel).3a vi+ given time. The frequency of the wave is 120 Hz. What . lovbjdi * )i+*a:e3cco/am kis the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a give.y +tiehwais: (2cec.uvh -b9n time. The frequency of the wave u(2b e9t-chaicye+v. wh.:isis 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of fu u3g-gpay2l:1*t5z+nj+ wjitxh o8 6.00 ms?

  What is the period of a wave with a)6d xzhd,vqz0w:y/;1 4 f3n skltj ldw frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 4mxx3i8fuq .52ax/m+jmy s ts 12 Hz and a wavelength of 3.0 823s+xaf5tx qx4j smim /.umym?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequency of7tk;77w8kb (apckuy :r k apltks y/8/8 :w7/ k8(us7k;t 7kyplbcr/aptaky k 12 Hz?

  What is the frequency of a 2.5 m wl /xoyn.;vf/2 vekh: dave traveling at 1400 m/s?

  A piano string of linear mass density 0.005 kxo *)lv4 txtb2esn6du*u. u stj35j-0 kg/m is under a tension of 1350 N. What is the wa-5x2*xjnl tbs u 3tu.k)uj6dtv4es o*ve speed?

  A string of linear density 6.0 g/m is under a 29 s28 ygcpaertension of 180 N. What is the velocity of propagation of transverse w2rp8 2sgea9ycaves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m lw ,/id *yo4v6e+fbot nong wire whose total masso6ti* n,+fe ywd4 /obv 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 7gf5ql j9(y9 vrbs j0q2.0-m long string fixed at both ends is 200 my95 0sq f9jbv lgq(r7j/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one gnzj:5a.gtc; vw): i mof the following frequencies can set the string in;.t)g :gj 5camivnwz:to resonant vibration?

  A stretched string is observed to have four equal segments in a standing wavgzlcdt- 4 j(a8.pey9j e driven at a frequency of 480 Hz. What drivi(at.y -4 zjl8gcjed9 png frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 1tdl z:i7h;h ,l 0p ,,ri8nrrkx2 Hz with a standing transverse wav 7t,r:x0n rilr ;dhzlh, 8,pkie 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 txsd ) xsc-:u,qk3,d2lhyx -bg-qp( xfension of 20 N. What should its length be if its fundamental resonance f- 2,s c :-b)-l,qxxkhuxx qpy3g( sddfrequency is 220 Hz?

  Find the first three /6ivz zimz v12(5wvwi7em5eb harmonics of a string of linear mass density 2.00 g/m and length 0.600 m when it7v 16/iem5vz2(wz5vem z iiwb is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed;fkyv5f de+ -w eqrk19 at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave wit;d95y-+q rvfw k1eekfh 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.