The time for one cycle orpnm5 -a ne.l:sk/ jei-jq*)gf a periodic process is called the

  For a periodic process, the number of cyclesz..pnn5hgps-r wea5 : per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point is ewig:4a b)x * tm x3*gkmbsd,+called t dg*ktimbm w*)3x g,xa:sbe+ 4he

  A mass on a spring undergoes SHM. When the mass is 7 zhffbf4x r+z z4;v)fat its maximum displacement from equilibrium, its insta+hrv47 ff )bxfz4fz;zntaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the (2i-si7vv iqfequilibrium position, its ins 2v(q7fivi i-stantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum db+c 7rzb1se: displacement from equilibrium, its instantaneous accelera :zd+71besr bction

  A mass is attached to a vertical spring and bobc k7l/rt5la8tfv f7h 8 /8nvjxs up and down between points A and B. Where is the mass located when its8 xllthj7/v 85v/8tfa rf 7nck kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and d-hj-ke(w*/e fk3svk t own between points A and B. Where is the mass located when its -hwkt* /k3ek(vf esj-kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betwee8rf/il par j4jlk*uuw*far8 .c(m36c n points A and B. Where is the mass located when its potential energy is a mif*8(4m.uk68r lr3ra*wufi/j j c clpanimum?

  A mass is attached to a vertical spring and bolohlnu+i;t*i orh 0 x *z(;ezr v9-6tfbs up and down between points A and B. Where is the mass located when its potential ener*h69t+ euxh0 rfv( *l zinoz;tol-ri;gy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-s vt(km- ea-tsdbk)s3,ov +l 4apring system produces what effect on the system's mechan-3sm+bk4,oae)l satd v- v( tkical energy?

  Doubling only the mass of a vibratinb 88lvnyi7 ,wz( pkbd8g mass-and-spring system produces what effect on the system's mechawl7bdiby88zk8n p ,(vnical energy?

  Doubling only the spring const6 - pafpkuk;7a c(iek8xas)j,ant of a vibrating mass-and-spring system produces what effect on the system'scjkxi87 pe uk ak-p,fa;(s6a) mechanical energy?

  A mass oscillates on the end ofdif0b*xt4 6 kql-yt( q a spring, both on Earth and on the Moon. Where is the period tqtyl*0 x iq(-6kt 4dbfhe greatest?

  Increasing the spring constant k of a mass-and-al,cy8q / il(dspring system causes what kind of change in the resonant frequency of the sa8c /i(lldqy ,ystem? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spr t:yyxcx ;g)4wing system causes what kind of change in the resonant frequyw; x tg)cy4:xency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of channns7)8pp)q wfkzo u :9ge in then k)nfowu:q89s p 7)zp 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 ehbs/q)ud 7k5p2n7n 9b 7gtal of a mass M attached to a weightless string of length L. For this sq7 akdul57gsb)nen927p b th/ystem, when undergoing small oscillations

  When the mass of a simple pendulum is triple7f)f mfxzvo. v5xndb:u0k:3ed, the time required for one complete e:f0x 5uv:7 o.vnmf) 3fbkdxzvibration

  Both pendulum A and B are 3.0 m long. The period 4iyg6dl/2s,e ly7 saiof A is T. Pendulum A is twice as heavy as pendulum B. What is the periy7dise/62a 4,lygsl iod of B?

  When the length of a simple pendulum is tripled, the time for0+6 v1ryfk gy7m 2lyoz one complete vibration incregyvr0fmz yoky 2l+716 ases by a factor of

  What happens to a simple penda5u6)o ,pa eoiulum's frequency if both its length and mass are incre6poi5,u aa) oeased?

  Simple pendulum A swings back and forth at twice the frequpply yz1g( 2a+ ++mxi.jrl 5gvency of simple pendulum B. Which statement i5m rjv pg (2iga+ lxy.z++l1yps correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity is(oxas( qrmete ;t:/ .s less than on Earth, the resonant frequency of the pendulum w(/ete.at(x:os r sq ;mill

  Curve A in Fig. 11-1bx; 9vlq .c+bg represents

  Curve B in Fig. 11-1 v-qnn ,-ml.7ls bxcsycb +0t- represents

  Curve C in Fig. 11-1 representsf z ezwkq.((tw:;rhm* l5c 1ub

  For a forced vibration, the amplitude of vibration is found t) iqc:p(+t :a 4qbymcwo depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium is . lbl)6o vx0kvcalled)v.k0x b 6voll the wave's

  The distance between successive creststi wh(bg79;bn on a wave is called the wave's

  The number of crests of a wavq)zx48x g +qm *at,nqee passing a point per unit time is called the wave's8xga)e*nmq t,xq 4zq+

  For a wave, the frequency times the ce9t a.izp0qw0s xrg4r y9jhs6mu) 37 wavelength is the wave's

  The frequency of a wave increases. What h :.tvi/msv)lt qts 11le,vse ,x-yms: appens to the distance between successive crests if the vv1 -xy).,t, eis:lmetslq sms1t:v/speed remains constant?

  A wave moves on a string with wavelength l and frequencd)f8zve.g2 dp/ ah,sl y f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the secd2 a/.g)vl,ph 8szedf ond wave?

  Consider a traveling wave on a string is) v95b,tmu* o 1 2vraysvp4tof length L, mass M, and tension T. A standing wave iasort 1t9vs* y 5,m)4uvb2 pvis set up. Which of the following is true?

  A string of mass m and length L is under tension T. The4w5s:51*k ;m mhh1 n .,kqk o+lmseztrgr9dze speed of a wave in the string is v. What will be the speed of a wave in the string if the mass of tkwm*m95let;+ m1 ehqr.o4gs s z,1knzd5r:hkhe string is increased to 2m, with no change in length?

  A string of mass m and len2lvsd.i *l np2gth L is under tension T. The speed of a wave in the s.spi*l n2dlv2 tring is v. What 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 tension T. The sp(bgk7( ad*3ns gpm )yjeed of a wave in the string is v. What will be the speed of a wave in the string if the tension is incre* g(3ym np b7ks(jag)dased to 2T?

  In seismology, the S wave isl lnckhapke 4o;-)h16 a transverse wave. As an S wave travels through the Earth,;hk 6kl)4ane lch-o1p the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal713 80kuubbjt0 ixuey wave. As a P wave travels through the Earth, the rkb0uxte0u 8i1bj3y7 uelative motion between the P wave and the particles is

  The intensity of a wave j6xa88hvji6jhv tl-ee1,ly6is

  A wave pulse traveling to the right along a thin cord reaches a disr.dy*s9cnl xg5:, l yecontinuity where the rope bec le,l:c yn5xy9.*rsdgomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal posit nq-f +ja*wts;ive amplitudes pass each other on a string, one is traveling towar-ja qt;fn *ws+d 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. The one travpa hh1c -hxgt,f)6.kghm-2k keling 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 -2k6.)phgt h mf xa kkh,1hc-gat the same time

  Resonance in a system, such a/kg un8mj,p5ys a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamentaff5,zihsogjg ;f lqawm(j,) s(,c9,ct0k8jv l frequency of that st)s s(oq;fi,fj v,j (9whzcmj gkag8f 0c,t5l,ring will increase by a factor of

  What is the spring constant of a spring that stre))hye7j3gi 1u6rr txt k-rx*ptches 2.00 cm when a mass of 0.600 jt6r )t)-r7hrk*xpyu3i ge x1 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horiz sbd7lof -- :yx3 7maroiia)q9ontal, 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 aao3i:s7y9im- 7- lrfx qbd)o its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to y y0 .nrv. ck 0ghvusg9wc6e.e(q); yea spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is ini 0 wyuqckyr6;.y cg0 .v).9 vge(heesntially 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 spring constzhd q g.f;gz0zi-vid;+ wqx/-ant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the madz/- ;q g -qz+v ;fzxgidw.hi0ss 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 complesstqfby3; d ke1,w1 c2te oscillations in 5.0 s. Whyt,b q31 21skdc;sf ewat is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spr)u)9kyi76vot p anj 3iiqk(( ding constant 20 N/m with an amplitude of6v(y k tdiji3p)k n)qi( u9o7a 0.30 m. 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 20 N/m along a horizonymg /x1a3a *j.udaqhbs+b2 k-tal, fricgyu k s +/3maabx*h-jq12.abdtionless surface. 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 this time 4(2t3d(tbmasb9t puat ) *jte. The mass is cut in hal as9t4dm utba2( (*jbt)tet3pf, 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 spri-:l nc 1313x1jdvjshyhg xm8d.m wd3 rng constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 8jnh xm x -dsc3vjdd3rlm13:gy 1w 1h.m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached xj 0qbt oh,*9f+cb2/aadqfa(fb*+ c eto a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in sifa,e *2f +qj (cd bx9qbh*b0a+/foact mple harmonic motion and has a 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 sprd)mb ndbj 3x97t a r0x,m;rsp65 ,ybcying of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechbmd, dacm570bx ;s6yxr39)t npr,b jyanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constanto q4 *po3yyoj3 50 N/m and set into simple harmon3p4yj ooyo* 3qic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back vr rz4z oa,d(wd/r3e r wxp(.3and forth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.25d,rdrpwx/.( azw (e3rv4o3zr0 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equildo7z4,fpcmn-d4l ir3 zyvxk8i od 993ibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the masko9l c4zvzn 8r3i- mp ddxd7y9,f43ios had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring cohm.x;uru 0l o2nstant 10 N/m. The object is displaced .uu;rxo0h2l m by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attachedpkinpst ,)21 c to a spring of spring constant 10 N/m. The object is displak1pc,is2 tp n)ced 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 uc(zph/ 7r8suspring of spring constant 18 N/m, displaced slightly from its equilibrium po7( uph8cszu/rsition, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at qtjf5l4e (q2 re/(wyva frequency of 1.27 Hz when dis5e jfv2qq4 l/(e y(trwplaced a distance 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 diffenx,r :z3nn(vsnbc*)u7x )s hrrent springs. 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 speed of A compare xcn,*7 nnz r)v(ssb3n r)uxh:to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium tvde rpc 8)/7lihe mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distanceec iv r7pdl)8/ 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 equilibrir;bd 0zf95a p.zs( hmqum the mass stretches the spring 2.0 cm downward. The mass is then.f0b s9a(r ;zz5qpmhd 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 suspendedjxa934v43j x2kdufbpda/ j 6e on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additiona2x4kx 6/43e3jpdvaj fu jbda9l distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obe g4hlnrcy(i)4ys the following position versus time equat4lig)rn (h4y cion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys i))nduf; j :jcthe following position versus time equ;u ijjc))n :dfation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the foll3nh fzq9n 5 *0bo8)qqbu4ocuaowing position versus time equatiouu8bncq5q 3o nbz*)fq049 oha n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free e ug -.o9uqes,up5(b cfnd of a spring executes simple harmonic motion accordingu.5of-9c begpq(,uus 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 for)q .s+pzqcp8:f fh1q1snj1 zece constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released fr +fsjzqe q :q1p)8zpfnhsc11 .om 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) Wha/(m;1mk4qlv r33miv bs7q; 6 mbze uxat are its frequency and period o m6uk(bx mqvrsam3ql;31/47 vz;bime n Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earth b5 8akagmrwo,* r7/ckjqudh q))a,k4?

  A pendulum has a periodq ,c,uw:8wz rf 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 the q;msq83,m 2o/gvi am rEarth? im gr,qmvoas3 2;qm8/

  The pendulum of a grandfather clock is 1.0 m long. What is m7(o+m(cp x 0 3wcsmdoits period on the Moon where the acceleration due to (smm wxcmpc d073oo +(gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25- n;v)4u4qfdx t+ f8bm 9)vs;laloc;vbkg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium posifo;4lf xba)+;vnqdv )ct bu94 vmsl;8tion 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 initial o1 )ss2iwyvzk2gw .a2 angular displacement of 8.ks 2 vw2wa2)iy.1 zgso0e. 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 x /rgm rm8ve6v7m:v1rtime. The frequency of the wave is e781x/gmm6rvm r:vvr 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequew * dl*/,qbn3aby1w3tb k(v -fb neva1ncy of the wave is 120 Hz. What is the nvt3*f*aq/ nv13 bwaywbek,blb1 - d (wavelength?

  Figure 11-2 is a "snad 8ve:0 somp1h6c ,uwjpshot" of a wave at a given time. The frequency of the wave is 120 Hz:j1c80pw,eo dvhm6u s. What is the wave speed?

  What is the frequency of a wave which has a period of 6.mvyk7 e7gn7 /6tovaw:00 ms?

  What is the period of a wave with a frequencbba6l5 lvsas;920t o p2 *ssvjy of 1500 Hz?

  What is the wave speec-8*dwtqhin j1q -.lud if a wave has a frequency of 12 Hz and a wavelength of 3.0-wq du i*qhntc1j. 8l- m?

  What is the velocity of a wave that has a wavelength ob1clo4rxdpt pt0wbf/(*/e6n f 3.0 m and a frequency of 12c1 x/w*tbf ( np4b/oet0lrdp6 Hz?

  What is the frequency of a 2.5 m wave traveling au) t(r x*26xy26pxjn6p4z paa(* zo lub*deypt 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m lrw)6ljfh .-y is under a tension of 1350 N. What )r -wf.lyjhl6is the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is pnye z.q 8hoa0o )1l60 ufb0ugthe velocity of propagation of transbou )pquh0.00l1ae6fz y n8goverse waves along the string?

A wave whose wavelength is 0.500 m is traveling-k 1;em u:zrjm down a 500 m long wire whose total mass jem -km1u: z;ris
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 propagation1dqr:b.d; v iw of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant id;drw1q: b. vfrequency of this string?

  If a guitar string has a fundamental fre 2;y4:6y6x/n)9rojtz5j vhjb lwf:,siyz apyquency of 500 Hz, which one of the following frequencies can s6:h):wox yjyvz;,z 9 r4yjjt2sa pi/f6lby5net the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standin4o + e+spa 0xdzr)0md/rgylf::f:htig wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave withglp) tr:fdriy 40z 0dom+h:saxf:+e / five equal segments?

  A string, fixed at both ends, vibrates at a git bp)33uosc5*oop /frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave 3p*op53oc/) u isogtbpattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of-uoesp/-;5d t jl yxq. 20 N. What should its length be if its fundsje xuo.5t;d q/ -pyl-amental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densitceui 8gd*9kfuef e4p5 n6 ;.cky 2.00 g/m and l;f 5 eup49genkeikd6f8 c.u*cength 0.600 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 ai2q-p 7ps,b on frequency of 85 Hz, a standing27 -bp,sqoipn 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.