The time for one cycle of a periodic process is calk9,rp:b6a dt xrw) t7nled the

  For a periodic process, the number of cycles per unit time 9qd4x *wt4vrj is called the

  For vibrational motion, the maximum displacement from the equilibrium point is j( t 3v32ur/dwcaocsl4 p7l p,2b8dzd carp4jp dtd/dc vlo 3as22u8l3bc,w z7(lled the

  A mass on a spring undergoes SHM. When the mass is at itsdw of57k5p (nz maximum displacement from equilibp k(fnw57o 5dzrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass -f y:.o(bcls3f5n+a syl uxx(9ii;nkpasses through the equilibrium position, its instantaneous velof bsc+(ul -ofx(lk ai5sy ; xi3y.n:n9city

  A mass on a spring undergoes SHM. Wh+ 56iyl3lx2zk fgn6f zen the mass is at maximum displacement from equilibrium, itk+f 6zgl5 fizxy3nl26s instantaneous acceleration

  A mass is attached to a ver +i9a)j8i fvfnxj1+le3mjyr(tical spring and bobs up and down between points A and B. ilmx9v+1ay )e8rj(fnji fj+3 Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical sprinzg+.7xmbs l8a g and bobs up and down between points A and B. Where is them. a7zb +l8gxs mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between po ro .nk* 451*1gtf sajfe/ufkyints A and B. Where is the mass located when its potential4s51**o k1uf /ffjygr at .ekn energy is a minimum?

  A mass is attached tom) q(xp1d aewocq/8gisc /97r a vertical spring and bobs up and down between points A and B. Where is the mass located when its potential energ /cwqd(s1 iqre 9 /x)mga7opc8y is a maximum?

  Doubling only the amplitude of a vibhcj pps / pfxj d:e:ol:lu9-1w()1ztirating mass-and-spring system produces what effect on the system's mechanicp d1hl:p/ t: fjiswxpl1)z 9:( -uoecjal energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what effecax14gs fk 8.nh*b j71ieo3gui t on the syi gnsui8 b*khg xo7e.ja3 114fstem's mechanical energy?

  Doubling only the spring constant of a vibratingy.o736+;zewilno+h tnf,ricln i7 *j mass-and-spring system produces what 3o*l;yhf iic nl+wej6nzir7on7,+t. effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, jlr: pv 3,gbg0ke46hz both on Earth and on the Moon. Where is tzbhpre 0l,v4 3j6ggk:he period the greatest?

  Increasing the spring constant k of a mass-and-sprxl-nk;z u cn9cbn +n d.evu5f;ja;:g,ing system causes what kind of change in the resonant frequency of the system? 9; vz,nuckn-a.:nce;gf ul+n;j xbd5(Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of chj /-*nrhvwh m9ange in the resonant frequency of the hj-*hwn mvr/9system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causa4vou uc3kksb74pm23es what kind of change in the resonant frequency of the system? (Assume no other changes insu2u4k ap 3om37c 4kvb 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 consphs a 8 a(st;j+wjc6*gists of a mass M attached to a weightless string of length L. For this system, when undergoing small os (8jcagpw+s*tj ;ha6scillations

  When the mass of a simple zn8 rh:oe/1 s.uy8 ndvpendulum is tripled, the time required for one complete vibrat :eh81od/z.vs 8yr nunion

  Both pendulum A and B are 3.0 m long. The period of A whv/h r 90r f.h+q:udpis T. Pendulum A is twice as heavy as pendulum Bhv + hh p09/fwdrrq:u.. What is the period of B?

  When the length of a simple pendulum is trifz15 xxn17 mz3ncusf ypvv4* bj*) al:yft6z 7pled, the time for one complete vibrati* lnfz jzc )543a nfvub yy1xtzm6f*7:s1xp7von increases by a factor of

  What happens to a simple pendulum's frequency if both rj 8)t dot;)u8 f/wbndits length and mass are increasedt ;od)bw8)/rt dj8 nfu?

  Simple pendulum A swings back and forthf.62,tvc9r c)s lne u3wzj0pg at twice the frequency of simple pendulum B. Which statement is correc ln2jcsz)gutp. 60 revc39f, wt?

  If you take a given pendulum to the Moon, where the acceleration of gravitk m4(1,a;7atbcb(u8haem o cnr2-kpv y is less than on Earth, the resonant frequency of the pendu(7a81; vm24tkc rp,(e o habub an-mcklum will

  Curve A in Fig. 11-1 rejh ktm3iu.4z 598xdna presents

  Curve B in Fig. 11-1 represe)i zci/7q8d eynts

  Curve C in Fig. 11-1 repw xopo g7c9fw0,)*rubresents

  For a forced vibration, the amplitude of vibration is found to depend on 4y1iv jg e z kg9wm qq(9jlk(,ef(w0)qvn,f 2tthe

  In a wave, the maximum displacement of points of the wave from equk79( lb5 p-ae nfbqxv*,jv2j yilibrium is cal5k vjpxf b v,y7*l-9en2ajqb (led the wave's

  The distance between successive crests on a f9tzc7u) tc;o wave is called the wave's

  The number of crests of a wave passing a point perp kzc)7,w.jyc unit time is called the wave' 7 cz)y.,wjpcks

  For a wave, the frequency times the wavelength is the ;zuwf /fk0; gnwave's

  The frequency of a wave increasl8y etp(txow6jlh/ ut j01:f ,es. What happens to the distance between successive crests if the speed remains ch:t86/(y ,ju tjlp x0o lwe1ftonstant?

  A wave moves on a string with wavelength l and frequency f. .gfl3zqa r9/rc- 7yhp A second wave on the same string has wavelengg- h7rqlcaf9r.pyz/3 th 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a sz d2 c(p9 nqa1fhqc+3itring of length L, mass M, and tension T. A standing wac91nazd fi +qq32pch( ve is set up. Which of the following is true?

  A string of mass m and length L is under88hfuv;62wit j i*chhwc) sm- 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 the strinc iiwhfw 8 hht6-jvmuc8*)2;sg is increased to 2m, with no change in length?

  A string of mass m and rsm l g76 j+9mlrt4xaa .akrv*iq:a+r;zg4 g5length L is under tension T. The speed of a wave in the string is v. What will be the speed of a ax7tjkqa .a+rl6ggzsrg9v m4r+ :i 5la*;rm4 wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L +qdas(b6/43lsxmy m0lb tfh7 is under tension T. The speed of a wave in the string x+0mf y4b/ll6ms daht 37q(bsis v. What will 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 S wave tra xb7r )91sptbr.v vhb2vels through the Earth, the relative mobt9 r2 vh1.)xrbspvb 7tion between the S wave and the particles is

  In seismology, the P wave is a longitu7(h+ilw . s)tcujnr)cdinal wave. As a P wave travels through the Earth, the relative motion +) nlws7tcr c)j.hui(between the P wave and the particles is

  The intensity of a wave id(.eem 42 b)2hqp qifss

  A wave pulse traveling to the right along a thin cord reaches ah;)-pwpfib: nq6 ) fn,jasx8y discontinuity where the rope becomes thicker andn;q s: pfa,xwn8 jb)-p)ihf y6 heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a stkas;hx4w uzchc+ 1s;a)b3e: iring, one is traveling toward the right and the other toward the lef1h3exws ;: cc iau;)szhab+4kt. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one 8z8o sj q7yx7ltraveling 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 regiosz jx7 lo8q7y8n of space at the same time

  Resonance in a system, such as a string fixed at both ends, occ5x a z0r7+gd 0puv5;jbb j.mkgurs when

  If one doubles the tension in a violin stri c)x z n(3s*b0sfukbc5ng, the fundamental frequency of that string bu s s xb)(nk3cf5c0z*will increase by a factor of

  What is the spring conhtaqay*p4au450 vin0bo-z j2stant of a spring that stretches 2.00 cm when a mass of 0.y0bqh-40va4aiz t 2o5p *uajn600 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m alonm;ma93g 4jn3c9aybs ay)/a c kg a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. Ibaa;9cksmna)ya3/j 3y49c m g t 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 spring constant 60 N/m a f 8/quj2tkulkvbrq090 mn 17vlong a horizontal, frictionless surface. The spring is init/n mru t 1qj9l87 u0qkkb2v0fvially 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 period of oscillation?

  A mass is attached to a spring of zzt ou3/k x3hk.l 7 sfm9ts0/dspring 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 let3tt07do/z /mkks zsfl3u .h9x 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 q 8su2kyoyc z:isi 85+n)lvsh)u3r,b complete oscillations in 5.0 s. What is the perioso+ 852ls3uuzb 8svcyiiqny,hr : )) kd?

  A mass vibrates back and forth from the frs;cyd134 g otwee 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 wd14y;cg3sot from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring t0 n:avr :-nqsconstant 20 N/m along a horizontal, frictionless surface. The object oscillates in sns :a 0tn:-qrvimple 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 n6c e)/io+(p+wjb:lmmzk5sq 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the oj+m:5wn6l+()e zqmp/ cbsik energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m al-ifar: ugphfnakgt :i17 25 (qong a 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 the amplitude of vibrati-25ig:iafnq ugh 7pt1frka: (on?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horn/nq3u 4l+rad bz3nq:izontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m:n/lnz nbq3 4u+qa rd3/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 horizon pyrxqg/ ;8eg9-j 3ijttal 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 energy of this-t9 q83 /ggp;xyejrij system?

  A 2.0-kg mass is attached to the end ou0 ycu ux0n:z8f a horizontal spring of spring constant 50 N/m a0u:xyzncu8u 0 nd set 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(7smh8dox+to.4eq y1)s q thd l7: tel the free end of an ideal spring of spring constant 20.0 N/m withys(7h81 :dtq mote7tllhx )sq o4. ed+ an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring syste9yubl. ))sl;4vpcp fim is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed cbfsu;4i)l pv 9yl)p.if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a sp3te rp( sa*xd-ring of spring constant 10 N/m. The object is displacxear-(d3ts*p ed by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is at 0n gr3 ng;tg3+erlcp9tached to a spring of spring constant 10 N/m. The object ilg g +3rng tp;39rc0ens 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 sprinmndf,w3u78 h t..n qnjo vw,l-g constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frd,. j738nnwnq,utlvwf. moh -equency of its vibration?

  A mass is attached to a spring u/ oj8ujl);zm. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released.u8l;/ojz m)u j What is the maximum velocity attained by the mass?

  Two masses, A and B, a68i)f *pl;d jf8ghetoo2lc3c*l (btlre attached to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequenccl(3*bffl8t)g 6p2jid*; o colt elh8y 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 the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the ma5v+()5p(q cqoh z *b.lhbrae vss stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.z(l .v5ehabr5op*q + cbv)(hq 0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spr0 hso w(v /;e/ oelye/(no-rqxing. In equilibrium the mass stretches the spring 2.0 yo/oe o(qee/ rs;/n- w0( hxlvcm 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 a spring. In equilibrium the masy8tzcf5eg rb7ht 67g0/yw,v ps 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 doz 0p v6efyhr8wg/t 7 7yc,5bgtwn its equation of motion.

  An object in simple harmonic motion obeys the fol xikt t qj2nupsuqfw; 200)ues949k6s lowing position versus time equation 06s u q9kpx tknqu2i4tj;fs02ues w)9:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus 2 akz.jnq,bn9/ 6ywx6xof;ti time equatio 96 2 6bf/ytjxzxkw q;,.naonin:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the fosa** k n+jnzjyk ys4+8llowing position versus time equatikan zyk*js js+8*+ny4 on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion acco 4,ttk *bxung0rd,bgu *xt k40nting 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 attach0bpi x:mo(uwlw01c(f 2 bj73 6jewrnged to spring with a force 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, b0 cw:7wj b (e6n3ml0x2 wu(o rijpf1gthe 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 frequ 5) twpp tmjdca.tmt.wz6 /w5/ency and period on Earmp.wtz.aw dj t p5mt)t5c 6/w/th?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Eaaj0 *o70wh4 w e;uiqnprth?

  A pendulum has a period of8jx;gj o9oi x oykh+qb)68c)zkir,4g ,g2fuj 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m lond g2zsjxq/2x5jlo m-;g. What is its period on the Eajxz2l / j 2om-xsg5d;qrth?

  The pendulum of a grandfather clock is 1.0 m long. What is its kx3/mu/fo,, gop jgwc n4pc-6period on the Moon where the acceleration due tog- pwno gm4up,kj ,ox/cc f6/3 gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass at ndy /ck0+ny7*/m1vak,sj/zp w 7 twsutached 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 aajw/0nsm y s,cwt7*/+ 7 /d pznukyvk1 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consbrxz*)jv/s u6isting of a 20-g mass has initial angular displacement of 8.*rz )u/j xvbs60e. 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 frequeny w:pnu,)h(r*6otlb z6b z0spcy of the wave is 12hwpzu6 l b6 :ozn*p(r0,)ybs t0 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. bsyer7.fu7e88pn bbe- xr2.e The frequency of the wave is 120 Hz. What is the wavelengtfy7 e8-28 ep. b7e rubnser.bxh?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency o-g g s*tdrgc+b mz.c/ u75npx0f the wave is 120 Hz. Whax+0t5dcu 7 bg/prn cgz sg.*m-t is the wave speed?

  What is the frequency of a wave which has a m:t+sn egu7c- period of 6.00 ms?

  What is the period of a wave with a frequfn+m-pk h4zot-(h a t3ency of 1500 Hz?

  What is the wave speed if aqo)4sai (uu a; wave has a frequency of 12 Hz and a wavelength of 3.uaaoiq4;us() 0 m?

  What is the velocity oozk, d 2ega23of a wave that has a wavelength of 3.0 m and a frequency of 12 Hz?dg2 ooz,23 kae

  What is the frequency of a 2.5 m wave traveling at 14a*a.glmyqp09g) gbj/00 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension ofh6:/sa6 uifpk ;c4 l iner-cm2 1350 N. Whatsar6/luhce n 2;fic4p :6ikm- is the wave speed?

  A string of linear density 6.0 g/m is undejs-*q vdyv8 7fr a tension of 180 N. What is the velocity of propagation of transverse wa *-d8 qvfjy7svves along the string?

A wave whose wavelength is 0.500 m is traveling down a 5004eyxfiu011 gk9e o o0v m long wire whose total maf10 v0yoki xu 1oee49gss 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 tri8ta fg6deblq* ua-09 l4; bwyansverse wave on a 2.0-m long string fixed at both g;a*9at6lfw-l uy4e b0 ibq 8dends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequej:.l7lo- hn 0roakt7ikcq) . fncy of 500 Hz, which one of the following frequekql fhj c0it77 .nl r-k:)o.oancies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a stm fa9 3si+w6wwqoyn, ;anding wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal s+; w 36s9nmwqoy,wiaf egments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a stan1*z hw i(,af4aagdi* eding transverse wave pattern containing 3 loops. What frequency is needed if the s*e, *azh14f(di aia wgtanding wave pattern is to contain 4 loops?

  A string of linear density 1.5 2gp w o5,qlb9ag/m is under a tension of 20 N. What should its length be if iopq5ab 2,l9wg ts fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of lin7:wnjypv+; ts1wk -zvear mass density 2.00 g/m and leng-t w sz y+v;jv1pknw7:th 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed ae+ +jqye l+fjm1t.f95x0mylzt both ends. When the string vibrates at a frequency of 85 Hz, a standy ej+e09 qmff5lt+mz1ljxy +.ing 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.