The time for one cycle t)giz2(8a( grqtu7+oj t m;ld5pd3kl of a periodic process is called the

  For a periodic process, the number of cycles per unit time is called twc)6i0gv / rurhe

  For vibrational motion, the maximum y 4xqw5:g 2u9buhz*t p2daft-displacement from the equilibrium point is callwbt2*2 :da4 tu9gup z yx-5qhfed the

  A mass on a spring unt) ;oq aiv w*0;e8phswdergoes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneo w*eh awi0p)v8; ;qsotus velocity

  A mass on a spring undergoes SHM. When the mass pas 0c*o)e9 imrdsses through the equilibrium position, its ind)0r9 om*s ciestantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at m m: 1ogivbv)q:jmx by(73k) qzaximum displacement from equilibrium, its inxy(kgjovbb1v7: 3m q)zqi m) :stantaneous acceleration

  A mass is attached to wz6m+ )ltktluro5)z) a vertical spring and bobs up and down between points A and B.5 z6z)t+tu)r lwkl)m o Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spri(;t-l3 oq. l -zge tvgd2hyaf,gw,* bmng and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a .t-gld,e g -yh blvwm2z* t3,qago; (fmaximum?

  A mass is attached to a vertical spring and bobs up and down between poi1c,sxya6a (0k +inck m2ak g(hnts A and B. Where is the mass located when its pgkn khi6s(2cax(1+aa, k0cym otential energy is a minimum?

  A mass is attached to a vertical spring and bobs upbsswc)m5uxuq e )) ,3n h+-s6kv.pprf and down between points A and B. Where is thep. nxprsq,h)cb)53 m)+s6 fvkusu -we mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring systct64 . my7ndfl nc/sf6em produces what effect on the system's mechanicmc6.s/47lfntnf d y6 cal energy?

  Doubling only the masaa1g 5f: il c94xqu4l5bhb+ lrs of a vibrating mass-and-spring system produces what effect on the system's mechanical aal 44b:hru5+i qxf l9clg15benergy?

  Doubling only the spring constant of a vibrating mass-and-springmr xk*+ e8a;sys5ty0q system produces what effect on the system's xts0 +yaqre* k8;my5smechanical energy?

  A mass oscillates on the end of a spring, botuc *7l:vkw) 2zja)twvb:3 jvoh on Earth and on the Moon. Where is the period the ):2 cj wv3ab)uj*toz:v7v wkl greatest?

  Increasing the spring constant k of a mass-and-spring syst,vct7u ;eao*lem causes what kind of change in the resonant frequency of the system? (Ae ,*utv7a lo;cssume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system ca kpx10)kdv 9tbuses what kind of change in the resonant freqpdktk x091b )vuency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplita;b *c:q2je9wsf10f lftjg / hude of a mass-and-spring system causes what kind of change in the resoa j c1fq9lgfe2: tf/b;0sw *jhnant 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 attached to a weightless string of len5/z7z. let jaw:d7i o6 oqkas6b,ryv2gth L. .vbra7d6z t7sk:6aey/qz,w 5j 2ooli For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, th;0b h.rdpcrx 0e time required for one complete vibrr;h 0pb0d. xcration

  Both pendulum A and B are 3.0 m long. The period oc1b: 3 frbze4xf A is T. Pendulum A is twice as heavy as pendulum B. We4rf: zcbb31xhat is the period of B?

  When the length of a simple pendulum is tripled, the time for o)j h6fmay y 2jhknkb96uh.q3bk;v-5lbj 7: ccne complete vibration increases by a factb;9y6jjnb. 2ql-kmb56 h)7 ukj:3ha hv cfykcor of

  What happens to a simple pendulum's fri9d yx8;o3i mqequency if both its length and mass are increas;9ody8m3ix i qed?

  Simple pendulum A swings back and forth at twico30lyg knt /.dc lo(d5e the frequency of simple pendulum B. Which statement iscdn53gdko/0o . l( lyt correct?

  If you take a given pendulum to the Mx s4g.h(3m tnk kt;2aloon, where the acceleration of gravity is less than on Earth, the resonsxk3l; t4t.h mg(k n2aant frequency of the pendulum will

  Curve A in Fig. 11-1v rn1c p:gow05 represents

  Curve B in Fig. 11-1 re;3b)rd kw 9.ptrwp1 0nflgxs) presents

  Curve C in Fig. 11-1 rep.+ c787jiz.uupnlb qa resents

  For a forced vibration, the amplitude of vibration is found y*i3qbbeh,4ro ,ju-q to depend on the

  In a wave, the maximum displacement of points of the wave from equi2cjy9t5z/a n8e 4u rmqlibrium is called the unm/qyt rj 8a5z9c 24ewave's

  The distance between successive crests on a waveba1zj (7te mw) is called the wave's

  The number of crests of a wave passi; wobdi9( pmiu c7)(mmng a point per unit time is called the wave'swmo (bp7ii(mud)9 ; cm

  For a wave, the frequency times the wavelength is the wave's: n5zmov2.z o adz;rqecy92o3

  The frequency of a wave5yw* /(gb+9 ry xbqsjfkyfi.7 increases. What happens to the distance between successive crests /+ yy*sqif g(ywjxr7.bk5 fb9if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave:xxa-b plf1(7z3/lbwb1atf yj xs *3s8 m,jmg on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave? fjl xw paxtb1*bj:bl8,mza xs/7(-f13 my gs3

  Consider a traveling wave on a string of length L, mass M, and byz cp3uea9*ig4 9imsy;rrj8 * kqq68tension T. A standing wave is set up. Which of thz pg9 q ij 6kcburrqe9*;*y8sy4am3i8e following is true?

  A string of mass m and lengtm6sux4igu1x8+d 4eu ea xu4sf )ee91dh L is under tension T. The speed of a wave in the string is v. What will be the spee a4isx+8eeue9u 4m41dgd sxxu1feu 6) d 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 undjcbm97 9i fa+ser tension T. The speed of a wave in the string is v. What will be the speed of a wave in mi aj99csfb 7+the string if the length is increased to 2L, with no change in mass?

  A string of mass m a,+karfg0ztpzc*9 .) zo5 ogzpnd length L is under tension T. The speed of a wave in the string is v. What wilz+5zpk,f ) 0cg*a.optzg 9or zl 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 an Sed x8kgjs 6.ndotz;t2/ f ttokci1121 wave travels through the Earth, the relative motion between the S ws;zkf1t .1jk/2e6int 1dg t8x o2cdotave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels through zucrtqujzyyi : 5+ u :n9ry(hm+b3r6 /the Earth, the relative motinyuqth/j5 :mr 3+:czy+iz ruy(6b9 r uon between the P wave and the particles is

  The intensity of a wave isu xsa-b2*m;*pod;a or0eqji2

  A wave pulse traveling to the/1g hu-q/ xg2z5ibnhr right along a thin cord reaches a discontinuity where the rope becomes thickeg1i-rg25 n zuxb/ h/qhr and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive u f1kte/v7 t6 m1fti,kamplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occuvktm6teuf1 fi, k1 t7/py the same region of space at the same time

  Two wave pulses pass exp .gi5nc8x,p47.g fduc7f ut:xhq4p ach other on a string. The one traveling toward the right has a positive amplitude, while the one travelinf7ni x4:u ,x45g . 7utx8 phgdcpfpcq.g 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 string fixed at both ends, occurcjc*2i4o/vy hmd 9ig:s when

  If one doubles the tension 4pstbd ne .-n 9(eaq0nin a violin string, the fundamental frequency of thatbanqee.0nps(-4nt9 d string will increase by a factor of

  What is the spring constant of a sprink c klvc/66:djg that stretches 2.00 cm when a mass of 0.600 kg d 6k/j:c l6vckis suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a hor/ef r9he(c50k 7krzr rizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass andrekfh0c/k9rr (z7e r5 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 spr gy1 ;grvkrb,:ing 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 position when it,vbrg yg k;1:r is oscillating. What is the period of oscillation?

  A mass is attached to a spri/.yti b ddlm*ig(m iho 2b28j/ng of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 /.(8ymh bm2ij2d ldob* i/t igN 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 oscillation7 3/gdok8fm ; ;dpblvqs in 5.0 s. /bv 7d;oklp;fgd3m8 qWhat is the period?

  A mass vibrates back and forth from the free end of an ideal s:np 49da (ezvzpring 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 pnp9a dz(z4ve:osition?

  A 0.50-kg mass is attached to :-u x6st+,1an *x 41dzeo.r jhpw f0rpyue.kxa spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple df*xe wj.z+614 0xry x.1epau, o-hs ukt:pnrharmonic 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. Thec:r3 t8 qnv8rs energy is 8.0 J at this time. The mass is cut in half, r vq3snt r:88cand 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 consbbaxr z.6 vjk.l5n04x6/f hx ttant 20 N/m along a horizontal, frictionless surface. The object oscillatx6 zjf/ v hk0x4taxn6b.b. 5lres in simple harmonic motion 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 spring of spring constant 20 N/m along ahr/oie rd*e zjwc06,1 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 arz*, dhe i6er0/j1orwce the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring.rh5nsywmgn0 b+ 1-ur of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanirb wynn- s+1ru50hgm. cal energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constant yewjss 5ji fsa0064 v*50 N/m and set into simple harmonic motion with assj5s ej0w0 *fy ia6v4n amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and fo2s)kt:g5j zs j 9t2gisrth from the free end of 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 vibk: is2gjj2szt95)stgrating mass?

  The mass of a mass-and-spring system isj40d(h o mx0 :hcunqu+ displaced 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 5nc0hm:ouqxd0 huj+4 (.0 cm and then released?

  A 4.0-kg object is attached to a sprinbcydho b-/kh) nw tlx.;*p8a:g of spring constant 10 N/m. The object is h wct *8:/lndka y. obpbh-x;)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 gmy me8k6ds, jy,gf44a spring of spring constant 10 N/m. The object iygdj 4e8mmky fs64,g,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 constant 18 N/m, displace gij)d2d* j vvq.kc4.wd slightly from its equilibrium position, and released. What is the frequency of its vibrav.kdjg d 2cqjvw.)4*i tion?

  A mass is attached ta w x f+ .)paa 2peqy,y;brlkv.,i)2jmo a spring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and rk ); pm+2f,axyqj i.a2pyraev,.w l)beleased. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates with (enjlom n,; ln2/s3ml 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 to tn ;3l,sn2lmo nj(ml e/he maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches thx;iw+vp*oy 3t e spring 2.0 cm downward. The masiw+ty;ox* vp3s is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches thez(kz vzv1q)yyb-1 3cp spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from res 3z1pycy1-(z v qzk)vbt. Calculate the total energy of the system.

  A 0.30-kg mass is suspended a vj*nms05(tc m*, /j*ry6 pa eizu0tj5nd2ocon a 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 from rest. ayt*urv*( ec,j zman5tsno5/jpij620mc*d0 Write down its equation of motion.

  An object in simple /ekmwedrvul 43//xwcww j1 fm4fm -76harmonic motion obeys the following position versus time equatir/ -3m4ww/w/lew c6kxuf 7dfvj4me1mon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeysj/cb;hdzx uw6s// ibdx xh;)eg ,(j,q the following position versus time equation:/,b6 zh)xhwiu/qx;g( /;eddsjb x cj ,
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonii g/t jba-9ipuj ;ng* y8t5sq+c motion obeys the following position versus time equation:bjgi p unsiq;a*t8-5 yt/+9gj
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring k r9d xxbf33sou8,fe k5ku6f) executes simple harmonic motion according to the equatiu)kdx38k 6f 9u o35xbsfk,refon $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring withr6x/vfi4xh hpj;ql 8: a force constant of 20.0 N/m oscillates on a horizontal, frictionles8p4x /if;rhvh6jxq: ls 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 and xqei b3z8o()f period on Earth?i fbz()8e qx3o

  A 3.00-kg pendulum is 28.84 m long. What is its period on Eart)6in6d r)pq ;u: qusteh?

  A pendulum has a periode,frbld3 2 ro( of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on t3-zar k5lrbpu n /zj6z;,.xlshe Earths 6nrk;a u-jb zpz/r.l xz3l5,?

  The pendulum of a grandf 3f+8hi lt: bqz.cye :ar)4ypfather clock is 1.0 m long. What is its period on the Moon where the accelerayyhztiffl :3a):bq+ cr48ep .tion due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached v(z).* gjtwlgjrg(2 r to a massless string. When the mass is displaced 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 insjwg)jgt*. g(l(vr2 rztead?

A simple pendulum consisting of a 20-g mass has initialx/kuj e /2q+e/w juwnk6o0u2r angular displacement of 8ewknxjuq0u2u +/ 6orj k w//e2.0e. 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 a wave at a given time. The frequency ofca9p rql:hd 1wz 5qwtj)ku08 6 the wave is 120 Hz. Wha0q:w c 8 pqktd uhj59w)6lr1azt is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a gibajdi elygm2413da 56ven time. The frequency of the wave is 120 Hz. What is the wddb 5j643e2l1a ygiamavelength?

  Figure 11-2 is a "snapshot" of a wave 6tboh. z5f(wi rw ak78at a given time. The frequency of the wave i5 .ozf8 a76tbwiw krh(s 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.0p7)eua rlum5 (2 zm3ty0 ms?

  What is the period of a wave wd 8 ,hbk)wr/g.u)j 1mo sva(vm,a;,ajjn:tq k ith a frequency of 1500 Hz?

  What is the wave speed if a wave has a f6 njng(r7n -jfrequency of 12 Hz and a wavelength of 3.jfn(j76 - ngrn0 m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a freqc *i0w4c7sd-d1g ynlsuency ofncy* d10 scwg7ldi-4s 12 Hz?

  What is the frequency of a 2.5 m wave traveling at 144zzzlow:2aw: 0*u) m am0uung 2 tk;xx00 m/s?

  A piano string of linear mass density 0. em2f)+ -edvwz0050 kg/m is under a tension of 1350 N. What is tdmwe)f-e v z+2he wave speed?

  A string of linear densitb, *kgoosf/ k0je*3r9or/hi ty 6.0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse waves a*r3f/okret/b k 0ohg9s,i *j olong the string?

A wave whose wavelength is 0.500 m is trav +vn lbyw10.fgkfz*w/o21u taeling down a 500 m long wire whose totz1wao/ub*0l1vkg fft.w2+ yn 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 transverse wave on a 2.0-m lurn)v5/ qr ot4;hs)ceong string fixed at both ends is 200 m/s. Which one of to)esrc)5 4hu /n rtq;vhe following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz,6n aklqj:t kqqgzsc 1n9 *cx+4 mw(*t6 which one of the followi k*(tqzgc9qnw cq mnxl6+s6a*t1j4:kng frequencies can set the string into resonant vibration?

  A stretched string is obsme hk )kgywee:p-,d1y )8 goa;erved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will opek kagmd,:yg)1)w ;h8e e-yset up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequencyszu kw:jnkz7.v k8peg)aqul: ((r8 z2 of 12 Hz with a standing transverse wave pattern containing 3 loops. W8(k nqpkl:u:gaz e7 rwz.u j)sz8 kv2(hat frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density zp6xoz6u8hyq, k9h /m1.5 g/m is under a tension of 20 N. What should its length be /h8669 kzpmzo yqh ,uxif its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass denswk.+k1,d yh2xu+ fan my.ug6 oity 2.00 g/m and length 0.600 m when it is subjected t6k2gf.k a+m+.x n ydo1ywu,hu o tension of 50.0 N.

A string of length 2.5 m is fixed tm gp94uddn)h l,w-o-at both ends. When the string vibrates at a frequency of 85 Hz, apgd)o9mu4ht- wdn- ,l 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.