The time for one cycle of a periodic proceevg n x)oyyu5l ea654,ss is called the

  For a periodic procerav:( (apoe9t*n ur9dss, the number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium poi. 5pj;veg-tcnz04o prz 2qmsj8 f s0m/nt is calljzzj05 ;s fv pge0 o t24cm-m/q.pnrs8ed the

  A mass on a spring undergoes SHM. When the mass is at its maximum di)phg / )xuy u3*kflny0splacement from u)u hlf3ng *py/k0)xyequilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes t6mlp v 8 5k8lt*ev6ftm+jg3ec hrough the equilibrium position, its instantaneous velocite t* vjmlel 8f+635pctm6kgv8y

  A mass on a spring undergoes SHM 38pi*rf 5tkze. When the mass is at maximum displacement from equilibrium, it*p3r8i 5 zekfts instantaneous acceleration

  A mass is attached to a vertical sprinzl+d4y4u hhi+nj5 u.n g and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a minimuml.dn4z hn+uhju+ i54y?

  A mass is attached to a vert0.aa o7*;og ,uumfla yical spring and bobs up and down between points A and B. Where is the maumg0u.o*l,faa 7;oya ss located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down be8mrqjfhh84l 0 8 us/pztween points A and B.8/0z8phu rljf8s qh m4 Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between poinqwg)zsc7sf/ zkq 62 wf2w*3 ebts A and B. Where is the mass located when its potential energy is a wqc)e*2sfsw zk6/ 3 q2gfwz7 bmaximum?

  Doubling only the amplitude of a vibrating mass-and-spring sysqo4jpo f/ 5d, ;kqd9 xmt+s0kntem produces what effect on thqd9;pd j kn q5s,0okxtom+4f /e system's mechanical energy?

  Doubling only the mass of a vibrating mass hjm5 2xn :fnlb16gd vg4.t-oy-and-spring system produces what effec6mf1 .xb2hltng-4 o5 jn:d gvyt on the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system producrd+2is; mei: wes what effect on the syste+di r;w:eims 2m's mechanical energy?

  A mass oscillates on g5 mxjjj,-ge(kdm fb31 97 heothe end of a spring, both on Earth and on the Moon. Where is the period the greatest( ejh3 1o 9f5gdm jeg,x7mkbj-?

  Increasing the spring constant k of a mass-and-spring system causes what kin 1 7csp. (aq;ysf5yefnd of change in the resonant frequency o;s.cspy1(5y e7a fq fnf the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-an i.o u5ea:ze.i1g dhj)d-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spr j.).egu ozi a1id5e:hing constant k.)

  Increasing the amplitudz:/uv5p(yp g ue of a mass-and-spring system causes what kind of change in the resonant frequency of thug zy/p5u:pv (e 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 vkh pds-u tl/ z5l:vw+hznv;( hbh+; /mass M attached to a weightless string of length L. For this sys pu +vzln;dt- +ls h(b;wh h/5vzv/h:ktem, when undergoing small oscillations

  When the mass of a simple pmu9l:y :+-wpj u:teopendulum is tripled, the time required for one complete y9::u-joe+tlwp:ump vibration

  Both pendulum A and B are 3.0 mp(l pb9j6o/ oc long. The period of A is T. Pendulum A is twice as hebpoj6ol c(9/pavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the ga5mrby3ai)9dw*c u (qczu5 )t np+)j time for one complete vibration increase)(tj bmwiq)c+ d3y an5pc za59uug*r)s by a factor of

  What happens to a simple pendulum's frequency if both its lengtey8/m7q, :e ttqwesb7h and mass are inm b7tet7: eqsyeqw8, /creased?

  Simple pendulum A swings back and forth at twice the frequency of simple)my0ycy a0 +zzhe(ss+ pendulum B. Which statemeneyah+()y+z ss0myz0c t is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravit wh8r85, fx q 6)tqnwm,xb*rx:rzw5nz1uu)ne y is less than on Euxwx6b nqrn 8 )uq*mz nhrw ,8x1e: w5zt,5r)farth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represe :7i pk,qs tye*of3/pints

  Curve B in Fig. 11-1j5jtv xxe7; kduvg,h/ zt f0;2 represents

  Curve C in Fig. 11-1 represent/ul k f+/h6apps

  For a forced vibration, the amplitude of vibration is found to depenti ytb4wz;p ;3d on the

  In a wave, the maximum displacement of points of the wave from equilibr,ki7u7wbo df,q r+,cgoj/eq.ium is called the wave' df7eqi7o.+u g,q, jbckr,wo /s

  The distance between successive crests on a wave is8k6e:p7qj 6tz,yihg/x4nomxruuy3 a)fk 3i0 called the wave's

  The number of crests of a wave passing a point per ungl hqudujgn 449mtr::63z, fwit time is called the wave'h4mtzl6,jg4 ud :3q9u wf ngr:s

  For a wave, the frequency tirsulnjm.)2c/ )wqa h- mes the wavelength is the wave's

  The frequency of a wave increas nckl )4css rvyf(fow *u422,qes. What happens to the distance between successive crests if the speenr fu4* 24cs2f(vslyqko),w cd remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave onw+ 7kh vjhd 4*st-,xzs the sssz7 j wx d-hh,t4*v+kame string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tensioh ; v qs7-u:pb7)tm0 bhizkf0;b+c klkn T. A standing wave is set up. Which of the following ishb 0tqv;-z+7 m ubf7c;b0hi) sklk:pk true?

  A string of mass m and length 0qip/6 1 sudyfL 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 mass of they1 6u0f/disqp string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of a wave in th5 mg4;19cg*kmke a7 l vygoiv-e string is v. What 41m-7 i k geg5g9vclkamvyo*; will be the speed 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 tensioy aayuz+4k qrn 7r952zn T. The speed of a wave in the string is v. What wia7 un4qya 59+zrrky2 zll be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is+ 11kbp .mytt)o;heky a transverse wave. As an S wave travels through the Earth, the relative motion bet e;+y.hmbt1kp)tk1yo ween the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels thr2tl 7h5rr-gq 4tkf6p lf v7mw.yq/ z/hough the Earth, the relative motion between the P wave 4mqklghf.f 27 /t h57yq/pl wvt- z6rrand the particles is

  The intensity of a wave iidc3 w zsm03z,s

  A wave pulse traveling to the right along a thin cord reachz:yg5ni u . uu;j, yivz4b07obsg1j)wes a discontinuity wher ,bvujjo;ys74y:0iubiug 5 z1gzw ).ne the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a strin06 jovsi*pn.30uv9t4a ujvl;(epcy dg, one is traveo0 tnu3di9c.asul0evyjv4 ( 6vjp *;pling 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 othel sarb5f6z i20r on a string. 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 occupy the same region of space at the fr s6zl0a25ib same time

  Resonance in a system, such as a strin2o3 q1+vfoaodn kd;fb8p dc/ p,sx7x+g fixed at both ends, occurs when

  If one doubles the tensioo4uxq7v+gknt3 +p)xh jvz 6u,- k-uld n in a violin string, the fundamental frequency of that string will) q6pxhjnv4zu3+kd,7 -uvk gxout l+- increase by a factor of

  What is the spring constant of a spring that s 2gecy 6hzadts3-i3;jc ey/w:tretches 2.00 cm when a mass of 0.600 kg is suspended fr6 zg;t 2edc3-:/ey si3wjchyaom it?

  A mass is attached to a spring of spring constant 66+g7w k58c(* qac8)dh, mkbqsag kpzb0 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 mb)kzgb c5h768*s k,+p a8gca qq(dkm wass 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 const9lx( (ly vph*xant 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 equivp9l*ly (( xxhlibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horwu7n4u c1yk w+izontal, frictionless surface. Thcw+wu1 nk4yu7 e 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 oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations e,7b hxr:j -i,yxz2bbin 5.0 s.rb7x,e i -j2:b xbh,zy What is the period?

  A mass vibrates backea7 0nx7 ixji3h8pb o; and forth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m ; o7 hn7ibeaxp0ix83j. 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 spring of spring constant 20r4)p + m y9oh0lhpb doz0,b0kf N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 dy+,zl4)bf90ohp0korh mb 0p 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 8.0ixjc6 3(us 5xu J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm.5xsxji u(63uc What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horiz sssc2emj:ih 623 9ljhontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the amplij2 63e sc hmhs:2sjli9tude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a hi 6sk -huqu w2(zy(g,korizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 6 -kgh uwz2,s(kiq(u y1.5 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 sigi0 zi g. drjo+a/s;:pring constant 50 N/m and set into simple harmonic mo0i :gsr/i.o gi; +djzation 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 horizontal spring of sp*n rqw 40d,mg9oxfx j:7fa 4string constant 50 N/m and se 97ngd:0,wrfq x fo4mtsa*jx4t 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 ideal spring oft5p ai 1jd;i(x2 n1vhe spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy ena5v 2ihd1xtji(1 ;p of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its ii(9okpkcc:) +l0 tad equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observedk9ocaki0c :t d+l( p)i 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 obkke cau5b9 :cd 1p-gp ; xao0s0ow4gj*ject is dx5o-gp4s10bg a p*:ackeu; co9kw0jdisplaced 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. ki o3kpc(4c(k :a7kceeti i 3+ The object iiic7 4 kccoaki3pektek:(+3(s 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 constantj sn,vd: 6yl;txv :na5 18 N/m, displaced slightly fro da;vl y,:n :xj5ntv6sm its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz whebp*qn 8xrp n-)n displaced a distancer xqn-p)pn* b8 of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different son mga ,1/lqeb63s, /g0d8ked 8kpuvsprings. 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 muav k/8emd68s gpb1 e,ql sn dg0/3,okaximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches edb l)1vyqh29 r1 k+nxthe spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculat+vq)y2ex9kd 1 r b1lnhe the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretchej *gwya34frkv5okr8k; qz 1q:s the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from 4 k*wk ;j a1q q85rg3:orvzkyfrest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring7raznk-bx99n v*,re+sp * lgonb , f7o. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an adbz+gn7kxp r,sbefanl*-* n,vor7 9o9ditional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple hah6q :ow(j -6oqdxenb6rmonic motion obeys the following position versus time equation 6odj66qnhoeb(xq:-w:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motioi(r lf;d,cb *z/ axt/en obeys the following position versus time equati dezbx;rl(,f* a/t/icon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position vmx 3fybdy 1d0l0/ kp.tersus time equfdlp1k3 0 bd/.0ytyxmation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple jtub )h eoeclzi779( 1harmonic motion according to the equatio o7eu1zhbj7)e ic(l9tn $y = 0.50 \; \sin (18\pi \times t)$ 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 lco:74ag 7gly.0 N/m oscillates on a horizontal, frictionles7clg 74l: ogays 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 i0q z (dgxvv+khnl q33.ts frequency and periodkq d+lvvq zgx nh033(. on Earth?

  A 3.00-kg pendulum is 2,,dkjpl in-q+8.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is irm6:d*d5wi+loxyvl *bwk-w 0ts length?

  The pendulum of a grandfather clq7qbu.7 7r,q-fu esg xock is 1.0 m long. What is its period on the Eau.7gx- q rqqs7fbeu7 ,rth?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the ; l *w*6jf zx+ viwoe)m6tum5qMoon wher 6 tox)wm5j; fqi+lumv*wez6 *e the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massle rfd;h:d 8-u 3:bllyscy0 syj(ss string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequency of 2.ydd: (srhf03;:ys8y l -jcubl0 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 consist5 d-t64 wtocering of a 20-g mass has initial angular displacement of d-ow 56t4 ectr 8.0e. 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 "snaps+hq4s 1j0tc zbhot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the amplitude? h40b s+1qtjzc

  Figure 11-2 is a "snapshot" of a wave g50zs;d)l qcy at a given time. The frequency of the wave is 12;g d 0y)qclsz50 Hz. What is the wavelength?

  Figure 11-2 is a "snapaep5b*nmb qjk3(i:(nshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wave spee p (3m:be(k*qnnj 5biad?

  What is the frequency of a wave which ha.9;-g ggbpcz ;eb/ htis a period of 6.00 ms?

  What is the period of a wave with a frequency of 1 (slobo8q1fwnq fx):)qadvd*j 3: tq +500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hd3wu/z1q l,ch.fa8h g z and a wavelength of 3.08c d w/lhf,.uh gaz3q1 m?

  What is the velocity of a wave that has a wavelength 1+9dql.nx,be *n aiypof 3.0 m and a frequency of npayin1+bxelq9,d* .12 Hz?

  What is the frequency of a 2.5 mt4 s5z h,29v puudtm9o wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tensio/e +no-ywinu )n of 1350 N. What isn- ewy/ o)u+in the wave speed?

  A string of linear density 6.0 g/m is under a tetgs2c6 *7 ljronbl9ct() kue1nsion of 180 N. What is the velob(t )ujec2g1l9 o*lt rs6 7cnkcity of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 :7oa6 g7yfag7wvmld2m long wire whose totalwa6d7a vf7y7l2 mg go: 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 transvk6,q,x*hyq t 80jpmxp erse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not axkptxh*,qm,60py8 qj resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which5-lvqb 2hla 2td sehulmt,(,1a) enj) one of the following fre -,lln)2qlmvj u() aset hbeh,2d15ta quencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segmen*ah qn : (p6bbv5 zc;ax.pnh1j ke*a;dts in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wavea :;dncpaaxhn6 epb.5qb z*(1*k;j vh with five equal segments?

  A string, fixed at both ends, vibratsds2 llzrj4+7 es at a frequency of 12 Hz with a standing transverse wave pattern containingz 2s dr7l+l4js 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 should its n2v u:ti:2zyimn x;d8length be i d;yuv 8i2x nt:2zni:mf its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a stri:9vxg :vn ,f*ssh6h- upxndm .ng of linear mass density 2.00 g/m and length 0,h pn.xv:fugx96 dn-vm*hs s: .600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at(unqtqb(u0 x ,j) cz2s a frequency ouubzst)q20n,((jc q xf 85 Hz, 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.