The time for one cycle of a periodic process is called :2rc , chy(11a xwsa9n .(nxvslynhc2the

  For a periodic process, the number of cycles3so0zp /w8dqk vqo9ah +u-ge+ per unit time is called the

  For vibrational motion, the maximum displacement oi/1 *impec2c sqr8s,from the equilibrium point is caprc*si21mo ie/ sc,8 qlled the

  A mass on a spring undergoes SHM. When the mass is cb3 57n,h7m0 ay lxumkvp6)m oat its maximum displacement from equilibrium, its instantaneo mn3xplyukhbv 76)mom 5,a70c us velocity

  A mass on a spring under2-km/v9zqg ti goes SHM. When the mass passes through the equilibrium position, its instantaneoz/kv- 2 gti9mqus velocity

  A mass on a spring undergoes SHM. When the mass is at maximum dis fr8l0 r 2y3v nvby9a4;vnllj9placement from equilibrium, its instantaneous accel0nfravyyj; 4 nl23 99 8rlvvlberation

  A mass is attached to a vertical spring and bobs uptgtkj * * 022qkjqw234xoyiqk and down between points A and B.02o 2tx 3jq2q tkkwq*gy*4kij Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up gyg wfw(l.x/ys ;7 b-gand down between points A and B. g-l g7g.b(sx yywwf;/ Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bjn)l ut q6 h6mb-bp7.jb ..qwyobs up and down between points A and B. Where is the mass locate j66b lu..pbwhbj 7qtn).-myqd when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up an,u 1mc 5+cr0yu/o2pt2 hkverx d down between points A and B. Where is the mass located when its potential energy is a maxim2p hyrxet+2/0oumcc5 1,rvk uum?

  Doubling only the amplitude of a vibrating mass-and-spring system produpa a4jf:9 3h(rbczq0 xces what effect on the systep9f4b:(j c3h0q r aazxm's mechanical energy?

  Doubling only the mass of a vux89)izh8bdrp3f 6um ibrating mass-and-spring system produces what effect on the sysum8 6dbixr)f3z 8uph9tem's mechanical energy?

  Doubling only the spring constant of a viq.p b1z* twku0brating mass-and-spring system produces what effect on the system's mechanical en* qzpkw0.ubt 1ergy?

  A mass oscillates on the end of a spring, both on Earth and on t,8kzz ew ;hy /bdwq(q8he Moon. Where is/b8 hqwz(ze, d8q k;yw the period the greatest?

  Increasing the spring constant k o vg e e;f7o:5kldy/,knf a mass-and-spring system causes what kind of change in the reeg k,o:7dn5v/ k;lfeysonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a m 6qrcrlf5mu8;ass-and-spring system causes what kind of change in the resonant frequency of the system? ;rclr5muf6q 8 (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kin; 3dw,x zs(lfairoh /wu/5 fa1d of change in rf1fwzoa/;(3 ld,aihx5 uw/s the resonant frequency 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 M attachecmz -udx*9b1fy3v6h 8ttv 1x1zc lv+b d to a weightless string of length L. For this system, whzc9 m+* y1bf38ubt1hvdzctv6 1xlx v-en undergoing small oscillations

  When the mass of a simple pendulum is tripled, t n26zhol9 yv,lsqy 9n0he time required for one complete vibryhqy n9ln ov zs,l9206ation

  Both pendulum A and B are 3.0 m long. The period of A is T. Pend( yx aw+0n we2eou;m0nb9;ffmulum A is twice as heavy as pendulum B. Whaxm00fo9+fm;u2 en;( ne ab wwyt is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vibr b1g:tpmvpvlw2(lg* ;atm*:g1lblwvv(t2 p pg;ion increases by a factor of

  What happens to a simple pendulum's frequency if both rg 1jsrbn8);nits length and mass are increbs8r;jgn 1)nrased?

  Simple pendulum A swings back and forth at twi(.dmo/, h+xqzx ) bnkjce the frequency of simple pendulum B. Which statemb/.z( xq +,nhkxjodm)ent is correct?

  If you take a given pendulum to tcoo+/b pbn8o,0hv, xs he Moon, where the acceleration of gravity is less than on Easv+8 hc/0o, bno poxb,rth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 mdyaz9dbsac9/6s / tf:v ;6ccrepresents

  Curve B in Fig. 11-1 rw,d 7 le13fq-ldb9.mtru:mnu epresents

  Curve C in Fig. 11-1 represen 3b(dbugg36x .bs(phjf(0d hhts

  For a forced vibration, the amplitude of vibp;sj3 a-umy8 a*i0kskration is found to depend on the

  In a wave, the maximum displacement of points of the hz1sq9ht5x9 nv4ms/zf;: vwwpa tg( 3wave from equilibrium is called the (zawqvn93g9z; tf15mxp:ssvw/4t h h wave's

  The distance between successive cre9o1gtpjpf5e 9 e1dwq r:0dib,sts on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the wavef9 nm/,)v egde' e egd9mf,n/v)s

  For a wave, the frequency times the wavel/ mwpg7*ag3z so oj q. wv:xo8c. 7xijojx6*o)ength is the wave's

  The frequency of a wave increases. What happens to the dm 0g.hw 5esn7z,lyp+cistance between successive crestsl cpz57 n hw0em,.sgy+ if the speed remains constant?

  A wave moves on a string with wavelength l and freque cu +v krdbfc24d uq:dmtayn)4/g-++ ency f. A second wave on the same string has wavelength 2l and travels with the same velocityc d:g 4u)f+-/+4bkyva 2rt n+uqedcmd. What is the frequency of the second wave?

  Consider a traveling wave on a string of lmocc pc16;g;)i2wieii9iq 3 fength L, mass M, and tension T. A standing wave is set up. Which ipc cfi 913gem )c;2w6iqi;oi of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave ins9tx;auc)x, cf o9q1i the string is v. What will be 99af i)ccu x,t1x qo;sthe 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 telvss.*:)zx +mgo64 ay5 t 7i qzukmtp3nsion T. The speed of a wave in the string is v. What will be the speed of a wave in the string if q3 statpiy*zg)kxm lmoz:uv76.s 54+the length is increased to 2L, with no change in mass?

  A string of mass m and length L is unu2yl crv2u (rb pq*t:+*f4a(ol 7jzcbder tension T. The speed of a wave in the string is v. What will be the speed of a wave zla4((f p7j2+uulv:2 cqryr bt*c*b o in the string if the tension is increased to 2T?

  In seismology, the S wave is a transvet rmt32;u1dw2eqc -2pu wqb 7erse wave. As an S wave travels through the Earth, the relative motion between the S wave and the particles itu 1etmqwd2-;qc32u 2er7w pbs

  In seismology, the P wave is a l a e7bjn/;)wk3: gxvgqz 0mj2qongitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave z :k3nxq ge/bgm2;jja0v)qw7 and the particles is

  The intensity of a wave +hrpgl2v n6-xis

  A wave pulse traveling to the right al1)u;0nsb ww zytj+ s3oong a thin cord reaches a discontinuity where the rope becoznwws ju;+bs0o y)1t3mes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplit9i 8kmgq2; xzlz e+ ns3,rs2bnudes pass each other on a string, one is traveling t,mbrl 3n;n g zz29s8k2xs qie+oward 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.s :mwxignrw*(bp 1e/k(b. +fg ix6l.d The one traveling toward the right has a positive amplitude, .f nl: g(iw1xwpdbb /6r*m. (gx +sekiwhile 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 st i.v(nqr 8gv6w93ro wj6ucau 6ring fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency of t uy/ wemnk881ahat string will increase e/u my8aw8k n1by a factor of

  What is the spring constant of m4lqq x,3 sng-a spring that stretches 2.00 cm when a mass of 0.600 kg is suspenm4 g-,q3snlq xded from it?

  A mass is attached to a spring of spring constant 60 N/m along ,nc2 li/t-l9yrp -j+dsh s:z ja horizontal, frictionless surface. The szsjl-t,rn/ d2 :jsp+9y- clih pring 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 spring ofy1jcocf r93ag+ ry/724 tymha 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 position when it is 1yjat ho /r97y cy+4m3cga rf2oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizon 6 q2smq4k,okvfn9 )uvtal, 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 eqqksvoq muv6, 9 4f2n)kuilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete osx g0 cxc.lmmv *5w3mn-cillations in 5.0 s. l 5mgx0*mv-mcwc. n3x What is the period?

  A mass vibrates back and forth fy.;75e0cbbl i zbnv lr59qrl 5 feze-;rom the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. 95bycie-;r. lqb 5z7e l;fnr 0bevz l5What 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 spring of spring j 6- aw,3cjnfne1iux-constant 20 N/m along a horizontal, frictionless surface.fj , 1ax3u6e-icjw nn- The object 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 J at thisy4x:t3 zpo-v3xuy fg, time. The 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 no4yp33x:-,f gxv z tyuow?

  A 0.50-kg mass is attached ;,80vaib sj hsto a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion8;bs 0,hivjs a 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 spqkdxx *3a:7 x54wqeu pring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has q7a x4x :pwx d5*eukq3a speed of 1.5 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 the end of a horizontal spring of spring coyz+vqz6 nd*v ,nstant 50 N/m and set into simple harmonic motion with an amplitude of 0.1zy vzq+*6d,v n0 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of slhs) d31;g sr n35mdufpring constant 50 N/m and sets;3rl ug3f)s1 dn5dmh into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an idem p nzxm3,na3md) 2po-al spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic ened ano 33mnm)x-m,pp2zrgy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibo;uk*to(2c3 5r p)aqrbs 9aiurium 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 2i*ab(;tps5u3u rraqo9o ck)and then released?

  A 4.0-kg object is attached to a spring of spring constant va:z;pyuup*- h3e 8f x j,te,e10 N/m. The object is disj3: fuetay-,,;uxvz e php*8 eplaced 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 *fra:8y u8j*n fv t+lp10 N/m. The object i*a f:fyrn +lpt ujv8*8s displaced 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 c :8fc1ml5y -k3mskwh t/tuyfirc0*3v onstant 18 N/m, displaced slightly from its equilibrium position, and releasf wcf1 tmuy0k- skl5 3:3tir8cy/*vh med. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequenok(ii/a-vt 1ojv i h3)epr16zabf(+w cy of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by f-3rk1pb+w vjzhi(o(eaoa tiv61 )i/ the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates with o9hl( ylxm/cmg4fi+:3ykn: n amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at a nxkmi n+: 9 43ylh(/ molfy:cgfrequency 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 si;v* qh32.-.e v qx6foqw 0dabzzpb2ipring. 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 from rest. Calcuxfio3.vhwb.2vzqpq2 a0b * i-;z d6eqlate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equildjrn 1oi-35 hpkfe2 bh+.ri hb5(:fct ibrium 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 rekj nc .rofe3 (ditb-i1f5r+h 2p5hbh:st. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a sp+nky7/6puyx nhbt4pk( j0z v5ring. 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 from rest. Write down its equatiokj5p+tn y( pv zhk/bux6 7ny04n of motion.

  An object in simple harmonic motion obeys the following position versus9ayf)7is *b,pznxqw w/ 2zad1 time equ)i*, nx1pb7dq9y2wz afsw za/ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys theo8c2ra,mbt*tyv :*l b following position versus time equl8 b2:*oy vtamc,*trbation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positionsc pfsd6c ej 2j;g)ks3u2u;s/ versus time equd/c jjc)ssu6 2sp g3;kfu2;esation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simp+ ,qfqvo.s0y juo 6.lmle harmonic motion according to the equatiuqy om ,6jl+0oqs f..von $y = 0.50 \; \sin (18\pi \times t)$ 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-, 2xr)acbat6vs 6hr 1 gdau8q 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 spricdara u6 8a12)t-vbsg x q6hr,ng 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. (fhkr4 v7g7e(na) What are its frequency and perik4er ( hgvn7f7od on Earth?

  A 3.00-kg pendulum is 28.84 m long. What il inub7 e;4yf n)l,ayk3 h(rev 79bh7zs its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lengthsr7k nj) ih8nt;,eb8m ?

  The pendulum of a grandfather clockvivr146zltia d52yw1)iq7s r 2xh/kg is 1.0 m long. What is its period on the Earth?hw4yliz 1i tirg2a xd vk617qrv5s) 2/

  The pendulum of a grandfather -g8ef:x z/l7j-ucin d clock is 1.0 m long. What is its period on the Moon where the acceleratio7l 8 -dg/nzuxef-ic:jn due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists ofcn7,b 4vy pi-l a 0.25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and releasevc,p-iy7l n 4bd, 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 displacement of y*bjjg q db1z27b j*(a 8.0e. It oscillates wd1bg7j ab*z (b2jq yj*ith 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 w(dbjtz :8tb5a wave at a given time. The frequency of the wave is 120 Hz. What is the amplitude?w( tbt:8dbj5z

  Figure 11-2 is a "snapshot" of a wave at a given time. h i6j3)sksgnjh0flhu3+/k6x wno9: bThe frequency of the wave is 120 Hz. What i )hhswklx6 3nn3 jo6sjgkbh9:u/ +fi0s the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenct6 hq;zk/mp hy4w,y6wy 4 p-oa)6hf (/uaogh sy of the wave t6fh,- )/u;pq6woymo / kaw4 (4hya yhsp6hgzis 120 Hz. What is the wave speed?

  What is the frequency ;n( z tvres/ z h,m3t: wo8m0qucu+q(wof a wave which has a period of 6.00 ms?

  What is the period of a wave with a frequency k4/bq)aexx * te9yl.yof 1500 Hz?

  What is the wave speed if a wave has a frd v(ao6 fq+gw72:k1aewm( u zrequency of 12 Hz and a wavelength of 3.:m (qwkv7ewadz a(r u 12fg6o+0 m?

  What is the velocity of a wave that has 1 r31l/v/ro qm z2hklpa wavelength of 3.0 m and a frequency of 1lh/m12 k rlp1o/r q3zv2 Hz?

  What is the frequency of a 2.5 m 9/r x( dq(-vdp. zjdftwave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a t2lmm(um+9u zuension of 1350 N. What9mu+uum z2l(m is the wave speed?

  A string of linear density 6.0 g/m is under a ten6xtlhtkf3 b,-x l)6y dsion of 180 N. What is the velocity of p k f,t6- l)lx6bh3xtdyropagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling d rd7c4d:w++1m rqwb bpown a 500 m long wire whose total1w+q 7+rbdw : rbcm4dp 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 transverse wave on a 2.0-m long stow 7jm o/eq4e1ring fixed at both en / mqw4eo1oje7ds is 200 m/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 obt lf8 r 7uy mhvw.xy(f20;)chne of the following frequencies can setu0vxl (hw7 2)8ym;rfcb. tyfh the string into resonant vibration?

  A stretched string is oxc8 7lb,mwa1dg+b3 v-t dyfm( bserved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What83d7fm lc(b +-,w mgx1t vydba 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 1p8m+axka,+i2cpv0vpd s-jv standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave patte svjp- aav+0 kxcd8m+i, p12pvrn is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should *)b mwgn5c9 agits length be if ic*59ag)b m gwnts fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mashbi8 i*5+)t q zdomb t5sw/m-zs density 2.00 g/m and length 0.600 m when -t + dzii5q)o*5ztsm/h b8wbm it is subjected to tension of 50.0 N.

A string of length 2+wrzi6w lrw 32 b*r.s+.g axno.5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standi2wi+.zwx wr. l6gr as3n r+*bong 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.