The time for one cycle roci9 0cv(ljpc3n1q(ex fhvqm 8v *4) of a periodic process is called the

  For a periodic process, the number of cycles per unit time is c63ivceag4 siu:v4b x6alled the

  For vibrational motion, the maximum displacement from the equilibrium point39md;vznfcwsypc2 82fg7 w:s is called thegpsfcvw nw3m: 22d;sz7f y98c

  A mass on a spring undergoes SHM. When the mass issl hat*c*b6r9f02s3 8by u hge at its maximum displacement from equilibrium, its instantaneous velo3s0cg 8a*usfh9 l*rhy 6teb2b city

  A mass on a spring undergoes SHM. When the max49dxd3bln 8qvgc vz y10mi81ss passes through the equilibrium p xn4cgyq l81v0b8x1 zv9di 3dmosition, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is s4ms)zf)f ,0,u 8vkmsrw 4dmh at maximum displacement from equ4),ur k d)smm0,vff4 s8hmswz ilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between poiplkiq/eyd pl-vcj rtc;iv rcq;/8 8t65 h 2l.2nts A and B. c lv25lip/t; vyhcltj8 eqpr c2d.r6qki; /-8 Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points Aqk sy+xnl28sgf nk4 e -e(xn- 60v:ysa and B. Where is thek0nes68yq nsexf4a2+xk:nsv-y g l - ( mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs unut y 0o+t4;; bjj1:i .mvznudp and down between points A and B. Where is the mass located whei;0+n jtu:1v ydtj;. mb4n zuon its potential energy is a minimum?

  A mass is attached to a vertica op lynvph,1x )2bd69ll spring and bobs up and down between points A and B. Wherendx61 vo l,9)2blp phy is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibratizdhx.;d o,.oixyu)3 s ng mass-and-spring system produces what effec,.d xosiy) d;hxu.z3o t on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring systjge n-f..iq1 vem produces what effect on the system's mechafgi nv.q-. e1jnical energy?

  Doubling only the spring cytzj fk g1g0k ;a-:bv6onstant of a vibrating mass-and-spring system produces what effect on the system'svgzbt6 : 0kjkagy f;1- mechanical energy?

  A mass oscillates onqx 2fxyn+hv)7y)ij* rrsl; gv3 y/ms; the end of a spring, both on Earth and on the Moon. Where is the period t; + gi;*xr slm f/3yvy)7ynrs x)2qjhvhe greatest?

  Increasing the spring constant k of a mass-and-spring system causes exv lx-v)jjrsq *+/dmm x,(j5what kind of change in thed +lj ()x5, xxrqmsev*-vj/jm resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what a6k)nn 4p: 1pf snf8ulkind of change in the resonant frequep)4kps61faun:n lf n8ncy of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes q+ ::ohfole 9ywhat kind of change in the resonant frequenho:e:qfyl o9+cy of the system? (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 Ms 79xxevnku61 je5a7a attached to a weightless string of length L. For this system, when undergoing small oscilla5e a6 une7s1xxkva7j9tions

  When the mass of a simple pendulum is tripled, the time7mcj5fzi k55y3 qpe88 beie8 /ledtq5 required for one complete vibratik55bd l3e8m5 yefc8/7qitjzi qepe 85on

  Both pendulum A and B are mlhu)7qb5jiw+ li-6s3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulu5)umbhi6ljw+7li- qsm B. What is the period of B?

  When the length of a 0rilrja :n5k6+w v9isn04ifosimple pendulum is tripled, the time for one complete vibration increase + roi9 :rkw0in4 nliv60ajfs5s by a factor of

  What happens to a simple pendulum's f oe51d9r ky0hrrequency if both its length and mass are increasekd9rrh1 50eoyd?

  Simple pendulum A swings n6 * c9z 8qa(mox7orgzpz/k5asel/ (zback and forth at twice the frequency of simple pendulum B. kzog(l6/ m95e q n/paos7*z(xzra 8c zWhich statement is correct?

  If you take a given pendulum to the Moa1,c kmr1x5ncon, where the acceleration of gravity is less than on Earth, the resonant frequx 5 1c,akcnmr1ency of the pendulum will

  Curve A in Fig. 11-1 u)3ey9 cjydlqcl sh4+vt7fs u x54a34represents

  Curve B in Fig. 11-1 reprz:il)zyme.fk kf: h;6esents

  Curve C in Fig. 11-1 reprekik.tc h3qd -*m-e3 hmsents

  For a forced vibration, the amplitude of vibzu.g-a8)a qn nai fa-7ration is found to depend on the

  In a wave, the maximum disp:bop a yk8*zq1lacement of points of the wave from equilibrium is called the wave' 1yqbap 8ko:z*s

  The distance between successive crests on a wave is called the wavcd(m49qwuo 6o;7o2pik,au p ce's

  The number of crests of a wave passing a point per unit time is called th., igsd-9xbevy h m(1yc7o9dde wave's e( bov19yiy7,m.dx d dgc9-hs

  For a wave, the frequency timib mj,2 6ca5ihes the wavelength is the wave's

  The frequency of a w:lb,c *8v/kzd7r r ww- jl;axvave increases. What happens to the distance between successive crests if the speed remains constantl8/7jvw;:r,* laczrkb -wv dx?

  A wave moves on a string wr 01ikwq7(t r:ulx2 lcith wavelength l and frequency f. A second wave on the same string hakrl wx72ic r1u(qtl0:s wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of lengft0 ,*j t6bacqth L, mass M, and tension T. A standing wave is set up. Whbtc f,6*j tq0aich of the following is true?

  A string of mass m and length L is under tension T. Twpleu)eh3 (9 s6 f4ygafj/1mvhe speed of a wave in the string is v. What will be the speed of a wav ufsmg3vwy( j h)4/lfp61ea9ee in the string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and le1u;qyub(n8 bxngth 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 length is increased to 2L, with noy (bu ;u8nqb1x change in mass?

  A string of mass m and length:fw(l5yg:a sqygl )u h9 8m.ak L is under tension T. The speed of a wave in the string is v. What will be the speed5syy ua 8mq )lhggl af.:k(9w: of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave a;dh2ub( 7v)kdo2e j8 j ax1sgz4cfq9travels through the Earth, the relative motion between the S wave2baqjgov c9sa)8 e7 ;h j4f (1u2ddkzx and the particles is

  In seismology, the P wave is a longitudinal wave. Asi1m9tam+ p5bg a P wave travels through the Earth, the relative motion between the pbma9g+ti51m P wave and the particles is

  The intensity of a waveh) l/s+dm keu:)fhh9 k is

  A wave pulse traveling to the right alonse(k :ju-i i(zg a thin cord reaches a discontinuity where the rope becomes thicker and heaviei(e uik(s j:-zr. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other o.hu2ethy;5u8d k n*xijd0l8hn a string, one is traveling toward the right and the other toward the left. At thhhl i8nt; dheyxk28 u50.jd*ue point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The ojez-nu;bdn23tij g7e ;ho( o1 ne traveling toward the right has a positive amplitude, while the one ooj(n u2;3;bd jzegtehni71- 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, suchxh t h4htkfsj) an wbi(372r/5 as a string fixed at both ends, occurs when

  If one doubles the tension in .n xl7lnx6ch* a violin string, the fundamental frequency of that string will increas xlnlx* 6nh.7ce by a factor of

  What is the spring constant of a spring that stretches 2.00 cm whe9k3da /cwt:m/v3fn0w,(.da cbi xsdz n a mass of 0.600 kg is suspended b3n.a tdcxzc( f309wk ws/i: m,dad/v from it?

  A mass is attached to a spring of sp6rv2bgj*3abc 3jxw+ lring constant 60 N/m along a horizontal, frictionless surface. The spring is initiallyw+vc 6albx *b3r3jj2g 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 spring of sprinc3y pd8 mnhy;4g 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 lemdc3p48 ;n yhyt 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 alongv /auzn tj.x5k(;)kl4n o(wqw a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N . xn5t4 (zwav j(k);nwlu/ok qon 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 SHh ntire, ,-dug.7r)rwM. It goes through 10 complete oscillations in 5.0 s. What is the pth .d )w 7u,rer,-irgneriod?

  A mass vibrates back and forth from the free end of an ideal sp m. 5ajq+x6 o)sb/xqgno /*iwmring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic ex*.w//im qg65xsanj +oq) bomnergy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a(sqc8 1o+.5hqz7 hnj di7hm td 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(+hd5qoz 8q7n d jhtic shm1.7 the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm.vrzet),fh8 8v The energy is 8.0 J at this time. Trvzv 88 teh,f)he mass is cut in half, and the 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 spring constant 20 N/m alo0b0 ex rjjrxf* -g0ku-ng a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilie-xj 0bg* 0 xjurf0rk-brium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alqqza+92 wq x,kong 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 arqw z,x+qkq29a e the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attache; u2dsry00(s ocn +qhwd 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. What is the total mechanical wsnsyrhq0 +;odcu2 0(energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of sprf3tmj j66xe) nz4svp 8ing constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is th 3 )e4zn8f66 mxsjpvjte total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal *vpyfvsc2k3 *ycu:w365nbqf spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of thisvqvy2ps*3:fuy *k6fc5 cbw n3 vibrating mass?

  The mass of a mass-and-spring system is displacednq9d6a11v kn3 zvd k6 2ut0xhu 10 cm from its equilibrium position and released. A frequencyz 6 ud3129u6xdv1t nhkqkn 0va 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 attached to a spring of spring constant 10 N/m. The -7p28- v .;u.rmjtsipbq7 xal rk5vkoobject is displacq.727. mp- p8kub ;rsjl5kv tv oa-rxied 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 sprin z /1p;ajs m9fq8jeez6g constant 10 N/m. The object is di8;aj jzm /6spz1ef9qe splaced 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 .d)5ksy zo4ty t1p7fespring constant 18 N/m, displaced slightly51d .7 kpz4ty)eyotfs from its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscil7f u i0eqfa88 r+p1br8zjssh7lates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by azj8ff8h +17s8reqb7ip r0usthe mass?

  Two masses, A and B, are attached to different x;gv:c l7wc 8dqsi(z 6springs. 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 speedg cldq 6z;: wcxs8i7(v of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibc qzbb2sp,. a)xbnb(4y+r4o(k2 syimrium the mass stretches the spring 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+ 2n4oibrxp c yy2,b.asqmb (s4)k (bz.

  A 0.30-kg mass is suspended on a spring. In equilibrium the m4wp7car9 t1q *.jub mlass stretches the spring 2.0 c.jp *t9wraq 74mb1culm downward. The mass is then pulled an additional 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 a27avn ..rc r;z.tqy tk spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released vn7 ;.k.ctz2yqrrta.from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the u;n3::yig. w zeweo k9following position versus time equ ;9:w.yeu:z3eni wkgo ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followlptoj( ;gq)p f8x2,aging position versus time equat,8a ggptp)2 qlx fo;(jion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position vers+j;bkoi5 -zvkwetp i70uv aq/0als 8,us time equaj0az8t lki sea ,+qvwv;uo57/k ib-p0tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes sdp t ejay*o47x17 6kvwax *lm*imple harmonic motion according7 4el6mjwv*oy 7a a1*kxpdx*t 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/mt 1 3-pxd*0lgcwuuib(7 tgx 0u oscillates on a horizontal, frictit*u107w0g-l(uxpxd3cu bigtonless 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 its frequency andrtso2vj9kzu w/ g2)s- period on Ear)/s92 grt2u vw kszo-jth?

  A 3.00-kg pendulum is 28.84 m long. What is its per rnaah.cjx,r9/6 ;o pqiod on Earth?

  A pendulum has a period of 2.0 s on Earth. What sv)i8 6hjyrgr8 m 3 zjxr86m6sis its length?

  The pendulum of a grandfathe: jqk:a/y+m*4qd3ye ethb 9rpqx 30 kor clock is 1.0 m long. What is its period on the Earth?x3/ djthqpq:r ek9o:e y y*mk43a0qb+

  The pendulum of a grandfather clock is 1.0 m long. What is its period on tke)r;ckbbj73c4idg- w 1v6 lihe Moon where the acceleratiobi -r;j73k1cdvw) begl6i k4c n due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a masslessdvo0mi, (o0.c2yihrf l:+bv(gc2 syp string. When the mass is displaced slightly from its equilibrium pos 0 ci,ophy lgbrofdc0 (miyvv2.:(s2+ ition 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 initiax.d+lqkmck 1e7f/j/b l angular displacement of 8bk /1qxef m. k7+dcl/j.0e. 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 tkch s;).mgj:w0 l:tgl. ,rfpa wave at a given time. The frequency of the wave is 120 Hz. What is the ampl.;lsm ctrp k t.)j,g::f g0hwlitude?

  Figure 11-2 is a "sni:7 kn0bq6+cynxo5qv6msg c)apshot" of a wave at a given time. The frequency of the wave is 120 msc7v0g6 n +6xy5qi bk)n coq:Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a giue1gra :f,07 tx0raejven time. The frequency of the wave is 120 Hz. ur e te7r:j ,aa0x10fgWhat is the wave speed?

  What is the frequency ocrivr bnt ( o2dz+5dd+qd8./jf a wave which has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500 H5yg6t/hv0 mfa: kvmsa 80*utuz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelengt-i z 7;omag;fdh of 3.0 g7 a fi-zm;d;om?

  What is the velocity of a wave that has a wavelength of 3.0 m and a freque5h7q g *s3wyshncy of 12 Hz?75hh yws*3qsg

  What is the frequency of a 2.5 m wave traveling at 1400 m/y5 kmndc 42;8sddr-fos?

  A piano string of lineaoch x: hk*a0ashb u (mpl,14-vo k.xm*r mass density 0.0050 kg/m is under a tension of 1350 N. What is thel,: hp. m mab v4kxoxso1h h0*ac-(ku* wave speed?

  A string of linear density+l 5 kly5+*j j4nppmmr 6.0 g/m is under a tension of 180 N. What is the velocity of propagation ofl+ *j4l+p kjry5mmpn5 transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m lzj)) jcyi;zb di6uu10 ong wire whose total massz)juzc 1)u6iij ;by0d 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 transversecpg bh 78t/c5;b 4kezg wave on a 2.0-m long string fixed at both ends is 200 m/s. Whict/kg7b ;ph45bz g8cceh one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental *u ksv2)tnodk9e* *xw frequency of 500 Hz, which one of the following frequencies can set the string into resonant vibratioe*d29k vswn x*u)t k*on?

  A stretched string is observed to have four equa4yp : 86gbbtygrj*aqk*bf 4b 1l segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standin*t*:1 b gq4yr bb6pgb8yk4fja g wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a ;bl,of vq mrt b)e87l4standing transverse wave pattern 8 mb o7l;t4vqb ,flre)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 shou)h.rs msqj/ a1u3z(csc;iun l/ r)py(ld its length be if its fundamental resonance frequency is 220h)si1 s( n qz)a/jr;cmr(/c.yl u3sp u Hz?

  Find the first three pwh2mt1i):a 1l ti) nzharmonics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension 1ntah: w2)iz 1ipltm )of 50.0 N.

A string of length 2.5 m is fixed at both ends. 4s j,3movhi 0y When the string vibrates at a frequency of 85 , 3ysovj4m0ihHz, 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.