The time for one cycle of a periodic p +5z9rpj,. /kmyh/;lkfkqt t6 e n+atyrocess is called the

  For a periodic process, the number5e3p p2w;za 0v;zcp(ll5 x*eks zid(l7-vgxf of cycles per unit time is called the

  For vibrational motion, the maximum displace7w8pqn+a :;kbc mb)ukment from the equilibrium point is called t8 q c;+n7k :ukamb)wbphe

  A mass on a spring undergoes SHM. When the mass is at its maxi4y3r3 ,lmom ref.br*rmum displacement from equilibriu3l.3m 4,rorm* eryr bfm, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equ0aatqf p z*8(tb)r7yc3w v1muilibrium position, its instantaneous vtabq c13p az0*muy vr t78()wfelocity

  A mass on a spring undergoes SHM. When the mass is at maximumkw2k;upm h4z.nz9kq+ka(; xv displacement from equilibrium, its ;.+p k(m wkzquk 9 k;a42xnvzhinstantaneous acceleration

  A mass is attached to a vetrfa6-/,bh d8h3 r nh+hnta f:rtical spring and bobs up and down between points A and B. Where is the mass locate fftr h-a +6hb8/,3drhn:nahtd when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and0b0;5y;wz npeoobee ; bobs up and down between points A and B. Where is the mass located when its kinetic enernb pey ;o0ewo;bez 05;gy is a maximum?

  A mass is attached to a vertical spring and bobsdq)3b -uqa,9kmj-lh d up and down between points A and B. Where is the mass located when its q, dl9d--k3ju)hqmb a potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betwee*med yjb 9,ebn6b6/ qpn points A and B. Wheq,y9nm jd /6eb*6beb pre is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vi)yt2 ep7 ab(jgec d/n*dzbs+.brating mass-and-spring system produces what effect on the system'd *y/end)esbb.ja7p t+(2gzcs mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces 0xzfowu2f(twdr:l z p4fc v7:mh5- 1gwhat effect on the systupvfxf 47wlw:t( :h mz5- 2rog10dcf zem's mechanical energy?

  Doubling only the spring constant of a vibrat+gj 6esy k*n vex:6x 0vsy(i5ging mass-and-spring system produces what effect on the system's mechanical6 5ese6n v x i(*0ks+xvggy:jy energy?

  A mass oscillates on the end of a spf cpq(c:lk- tjv7d) k/ring, both on Earth and on the Moon. Where is the p) ldpf/cjvk:q (t c7k-eriod the greatest?

  Increasing the spring constant k of a mass-andcqt9uo(s*r25dzdr *cc cl;3 l e *7rud-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's*7l9tdd3zo c(cr r2;**lcd 5uqscu re mass m.)

  Increasing the mass M of a mass-and-spring system caw r1 m7kt8oi*+xsq/q *gg7qnluses what kind of change in the resonant frequency of the s 1ltgi/w7*mxo s+ rgk7 n8qqq*ystem? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes wfk s/zef9gt92hv;-e9pk p0xnsg 8 q6ihat kind of change in the re-gqz sg8x;pht/ 9 nsv2p 9 keik60ff9esonant 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 consitsl1a*ndw)5slmts0 w 1 +ebb 5t*v;gfsts of a mass M attached to a weightless string of length L. For this system, whebatd )tv*5 slgw b+l051s1t s;wm* fenn undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time re,g:hve u lzrd-qus vk2*+/9o o+spvg,quired for one complete vi2k /sd+, g,:uvzvp o qu9hosg-*l+evrbration

  Both pendulum A and B are 3/ u7*trh+hj o81pfyoz.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the period + ry/j uht1o*fzh8p7 oof B?

  When the length of a simple pendulum is tripled, the time for one comp*v rthqh49h2 n9y2uaplete vibration increases by a factyah2ut4 nvhp *r9q2h9 or of

  What happens to a simple pendulum's frequency if both its length and mass a+ 1ezz ss,s)thre inhs t1 zs,)zse+creased?

  Simple pendulum A swings back and forth at-u10i ao)0*z /.l5t jpgc3e hfnoavyw twice the frequency of simple pendulum B. Which statement is co 15wojh/.lv*c0ia gn0)eyfo 3 pz-utarrect?

  If you take a given pendulum to the m.vg +/ar46evrilrk8 Moon, where the acceleration of gravity is less 8l vag4v./6krierr+m than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 representxl c1yx;wrhm;oe n)xa9b6w 2/s

  Curve B in Fig. 11-1 representq 1v(/48rc4p p7:0cpczhsybnif.wmas

  Curve C in Fig. 11-1 represeq)dxx wh v1nqfn;8ou*dx+h:. s:k:r pnts

  For a forced vibration, the amplitude of vibration b qr;- koxsb;+is found to depend on the

  In a wave, the maximum displacement of points o38 0 szf1up(7qsyt/kskwq9 +mkrh (c vf the wave from equilibrium is called the w vzq0k+/3c k qprmhf8u(ts791 kw(ssyave's

  The distance between successive crests on at(m*gu e gp+4v wave is called the wave's

  The number of crests of a wave passing a p uu5x7qs 6lm/zoint per unit time is called the wave'l/zuxsm u6q75s

  For a wave, the frequency times the wavec j *1kvfc1klnt2 7kzto h:d,6length is the wave's

  The frequency of a wave increases. What happens to the distance behts8g6+fe -z buxu h7r4r 2bc/en .qb9tween successive crests tze2beq. 4hxs u-f r6u n/7b chgr9+b8if the speed remains constant?

  A wave moves on a string wa+oq+df kq7;u sk +1-h pwfzr,ith wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency+ks7dp k1rf au,q-o wzh+ ;fq+ of the second wave?

  Consider a traveling wave on a string of length L, mass M, and5p gdc6 3pwik.;cv+ go tension T. A standing wave is set u;p 3 kg5.cpv+6co iwdgp. Which of the following is true?

  A string of mass m and length L is under tension T. The speed o m5xoeh5+)lwee9. rqncor+ g 1f a wave in the string is v. What will be the speed of a wave in the string if the mw9 . +5cohnxr)g+reeqme1 l5 oass of the 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 thep--qd-w gs oz6)1 egbe strin-egzd)e gpb1ws-oq 6-g 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 speed of z eb/jqbt7c/8 tnyv(h :5sel3a wave in the se3(ytscn 8b/7/5 t vqhljb:zetring is 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 wave0r uti:4g: zqe. As an S wave travels through the Earth, the relative motion between the S wave and the particles0 i:gt:qu4zr e is

  In seismology, the P wave is a longitudinal wave. As a P z-w m +kf(ph.awave travels through the Earth, the relative motion between the Pf+zw k-(h pm.a wave and the particles is

  The intensity of a wavey *82f i+p rrczbwe4vh2t; e fe--pl)n)eonc3 is

  A wave pulse traveling to the right along a thin coutn n9bm(8toje)cqb1v 4,7 tdrd reaches a discontinuity where the rope becomes thicker and heavier. What is tb7d9jtntb4,cqvue n(t 8)1 m ohe orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a str0+lgkn5yzolm gwi (sv ws)6 i69r 9bn)ing, one is traveling toward the right and the other toward the left. At the point that they occupy tyoinb)si 9gwl5) vg 9swk6lrzn0(m+6 he same region of space at the same time

  Two wave pulses pass each other on k. q9oqda)toie( ;y31 aa.imf 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 same)i a3a.kftmy i qqd 1e(o.a;9o time

  Resonance in a system, such as a string fixed at bl6f 9-om mbu+ms-tow6,vq 6kboth ends, occurs when

  If one doubles the tension in a viol5xk4qb :0dsd gin string, the fundamental frequency of that string will increase by a factqs5k db:d40 xgor of

  What is the spring constant of a sprinow)bxvm 6gb; ck: x. v9dpiaph,9a -r2g that stretches 2.00 cm when a mass of 0.600 kg is susper6,c9;p b:haw a2 vxbi9 -od. xmkpv)gnded from it?

  A mass is attached to a spring of sprika 4 3s-tue nc zw:pd/7e7g1yxo+vc5zng 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 uc 4na1zs:oe3y e7dg 7vtp -z/5wx+ckmass 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 along a horizontal, friaxjx (r1u/7r), z vo-hjy8fjkctionless 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 ej1a z 7,rvy-xkjojxruf(8h) /quilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring kjhoj i wf,)32constant 60 N/m along a horizontal, frictionless surface. The sprinhok ijj32)f,w g 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 d*n hs8abi)u* oscillations in 5.0 s. What is theina b)s*dh u*8 period?

  A mass vibrates back and forth from the free end of an o+z.0te jrk .;;rmgc pideal 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 from its equilibrium posizoec;r .+p. ; tkg0rjmtion?

  A 0.50-kg mass is attached to a spring of o le k65y2rwxiuau/3o59 z)sbspring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/ o b9zw uyu 5/3akl6)e2r5osixs at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with aq,x x 4e1zr- v;ddzfv-- ni0szmplitude of 4 cm. The energy is 8.0 J at this time. The mass is xe-nvz zv dz4x ir,0-s1q;df-cut in half, 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 saqfd 1-y3z 5iwpring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscia3ifdq5y1 zw-llates 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 toa2 vs+9 fi5umefiq8e, a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscil a,m sf8qe 2v+5f9ieiulates in simple 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 spit 6n-frnf mdo f(9 f8p3 c),o,jmw-cbring of spring constant 50 N/m and set into-)fibjcrn,omp9 o6cf 3- t ( fmfd8w,n simple harmonic motion 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 ofnmu s6w8f , n+74k;qh l+bzpwoa)/ofq spring constant 50 N/m and set into simple harmonic motion with an amplituda)o4u lfh,nzm+ k+ 6pfq/7ns w8qw;bo e of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back a+5akn6 nc)kw 9k n ,ohbjxe1q7fjm).tlqb:2pnd forth from the free end of an ideal spring of spring constant 20.0 N/m with an amplit)b +xbn9kp5 jt)w.k6n2he1 mq :al7,foc kqn jude of 0.250 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 equilibr 5ru.f xzo0w+7 hgihl,ium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mou lrx w+570ihh,zf.g ass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring c5b5 .a 1yl7wp w)uxhouonstant 10 N/m. The object is displw.o) 517w5xbhup a uylaced 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 /h.:ych0ojen mp r 2qv(q3e5 wN/m. The object is div 0n3m2 qqc/.o5 eyhr hw(pej:splaced 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 sprw 2jm:ax2, bgo8 :di3vafkr5uj ct5 b4ing of spring constant 18 N/m, displaced slightly from its equiwo g:4t b5au,8xkfj5mbdia2c 3r:j v2 librium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.2/8c-cgl5rsq,rrk1 qo7 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is trg8, -cr5sk/qqlrc1 ohe maximum velocity attained by the mass?

  Two masses, A and B, are p *kv-ldiy+l-attached to different 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 to the maximum speedk- yd-l*p vli+ of B?

  A 0.30-kg mass is suspended on a s(g1 3mpblk 4 7tz2tc+cae wxq-pring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an addit3 g+ a- mc7bq12ktex4tz l(cwpional 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 stret*f(q)a i ( y-9xr qjbh m,)jcgxpr7)vsches the spring 2.0 cm pr jgmxvi y9 ),barx(s)fq)*(jc7- hq 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 sp o53q1qasoj(:by6y2jvt/ evgring. In equilibrium the mass stretches the spring 2.0 cm doo:(veo3v 2q5tbq6yysga j 1j/wnward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the follow1yg8g;h 10f wz9hxd qoing position versus time equatigyo1x1gw zd8 qh90hf ;on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time e, v5u.j 6p ;wvunhr,slqu .rwv;vnhj5,,p sl6 uuation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the folp-e)so m: 3dx mi(ks)wlowing position versus time equatio 3xp:sm)( mis)dk- ewon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simplt s.em o*zrjs,b0ja a5rq*u .a,34nqve harmonic motion according t v.,jjq0bzr3saat* 4smu onea.*,5 rqo 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 force constant of 20.0 0 v x +j9*za+m g3jfpkb+n3lzyN/m oscillates on a 3fpmz*bv 9xglkz ++ jn03j ya+horizontal, frictionless 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 aku,uq : -fmq4knd period ofumq k-, u:k4qn Earth?

  A 3.00-kg pendulum is 28.84 m k:)bb hu-bj)qfm uti8+2 o7s3k )q cxylong. What is its period on Earth?

  A pendulum has a period of 2.0 s onl8r7;zgc3jam3vbl 6 (z1ez b q Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period o ze6zo,1*wfdjn the Earth fj1zdoz 6,ew*?

  The pendulum of a grandfather clsy t.j;4wk) kxock is 1.0 m long. What is its period on the Moon where the acceleration due to grat k jw)x4.k;ysvity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical m8*p/ zsccyp*aass attached 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 result8yz/pcs *pc a*ed if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting ol8bqwg 25rpv( f a 20-g mass has initial angular displacement of 8.0e. It oscillates v5rqwl2 8bgp( 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 5ttibtkw(l,qg gn7(, frequency of the wave is 120 Hz. What is the amplbgtw qkn,l(t( g5, ti7itude?

  Figure 11-2 is a "snapshot" of oh0f74f/ jsdl a wave at a given time. The frequency of the wave is 120 Hz. What /4fdl0o7shjf is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequeno6, akdsc/tu- +w ell/cy of the wave is 12+ l soa d/6el-,tu/kwc0 Hz. What is the wave speed?

  What is the frequency of a wave which has a periq tgc2df;5a(47fz ombw8v0 pk4sm: t zod of 6.00 ms?

  What is the period of a wave widci 7 3acseq0 :za;bz3th a frequency of 1500 Hz?

  What is the wave speed if a wave has a frhp)j qsv*h.q3 equency of 12 Hz and a wavelength of 3..3spqh* j)vq h0 m?

  What is the velocity of a wave that has a wavelength of 3.0 s+p wl6cxrlzbm;/kess;,nass4k )bj6 -9g /tm and a frequency of 1 asjp6/n,x 9 b mzse+s;4)g klbks/r6-stw l;c2 Hz?

  What is the frequency of a 2.5 m wave traveling )bv/u)iwa ; nh 8:qvoaat 1400 m/s?

  A piano string of linear mass densw +x2rl9h0ibt f1sor kr4b)y;ity 0.0050 kg/m is under a tension of 1350 N. What is the wave sy9hxo0l if r+bs21;r4b tw)rkpeed?

  A string of linear density 6.0 g/m is under a tension ulid8w9yw (1yof 180 N. What is the velocity of propagation of transverse waves aiwlw19dy (u8 ylong the string?

A wave whose wavelength is 0.500 m is traveling ef3p 7shz.p4 edown a 500 m long wire whose totalfe4z3pse ph7. 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.ckg h9rrvc9nyry2kz 2r;6k6 50-m long string fixed at both ends is 200 m/s. Which one of the followingk2ck29g69crr6ryv5 k r;hn zy is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz,g: 7km4ujj4noeen-hd3yje -mh3o,2 f which one of the following frequenc4 gem7mfd n:3 jj3j ohe,h2yn4o--uke ies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a st2s 0b2x1qb ojeanding wave driven at a frequency of 480 Hz. What 1 xbbeqj2o0s2 driving frequency will set up a standing wave with five equal segments?

  A string, fixed at bomh.-cnm(sd : lth ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern contam:mhdns -(c.l ining 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 tensid jib -50zew4pon of 20 N. What should its length be if its fundame4wi -dzj0bp5e ntal resonance frequency is 220 Hz?

  Find the first three h*t,jfsgf eh7zo m. n)/armonics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension o gf7)tso h/* ef.zjmn,f 50.0 N.

A string of length 2.5 m is fixed at bothlhi 27qwi awuirm:9i lf *q;lk6w::d: ends. When the string vibrates at a frequency of 85 Hz,iqi:d: m9luwqafliw 7wk; i: :lr 62h* 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.