The time for one cycle of a periodic pro62ys 4 )zzrslscess is called the

  For a periodic process, the number of cycles per unit time is called thele3.yii 5wp4 c

  For vibrational motion, the maximum displacement from tl6 +y;ptv/io xhe equilibrium point is called; xi+ /vt6poly the

  A mass on a spring undergoes SHqk(z ygf6( y6le4h e0mM. When the mass is at its maximum displacement from equilibrium, its instantaneokz fe(q6ley40y (6hgmus velocity

  A mass on a spring undergoes SHM. coya zvb+6k96 When the mass passes through the equilibrium position, iz6v b6 ky+aco9ts instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displ4j-xref5cr)n( f txv 4acement from equilibrium,f5vcx4 r x-f )(njret4 its instantaneous acceleration

  A mass is attached to a vertical q8h l.ht2,ja8+/: eip4w2gxfxj sf hnspring and bobs up and down between points A and B. Where is the mass located when iq sn xha,.8 2gje8 /lhx4h:fwpf+2jtits kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A0d+nh)b+(zv* e3ljnlux esfi l f* q() and B. Where 0xq)+nnf z l (f*v+sl(b*e3dl u)eihjis the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between poiuk;sm1rx e 2i-i jo ,jle vs.8z:yz+nn2a+p3n nts A and B. Where is the mass located when its potential ener +8oskzn2j3- ,; l zeesipa2yv j1.nmni+ux:rgy is a minimum?

  A mass is attached to a vertical springsz(nh8 0 lhwuyx s-.3n0si z1c and bobs up and down between points A and B. Where is the mass located when its potential xs38-l0s(n ihzh. 01zuyscw nenergy is a maximum?

  Doubling only the amplitude7tl k-8+a.bkjj,fidutg 9w2/r/jg hn u*fv6 q of a vibrating mass-and-spring system produces what e9.l uujn/g 2 dwqkajrtjf,8-i6tfh+kv*bg7/ffect on the system's mechanical energy?

  Doubling only the mass i0ytnnm 1i9kv6ewfl(, 2:zof) erf z1 of a vibrating mass-and-spring system produces what effect on the system's mechanical energy?fkt:9w1izv )m(ir 16e e ,fy2n ofnlz0

  Doubling only the spring constant of a vibratids8+o( r1xs;pz;p yw(tp -coy ng mass-and-spring system produces what effect on the system's mechanical ener pso8z(tx;opp;( y +rs-cwy1dgy?

  A mass oscillates on the end of a spring, both on Eartf e8;j h*/jznfh and on the Moon. Where is the period the greateezf f8/;jhjn* st?

  Increasing the spring constant k of a mass-and-spring d))(7wejmb 8i j4fvr bsystem causes what kind of change in the resonant frequency of the system? (Assume no change in tf)vijd)4b mbjr(w 87e he system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change in hybm5gm,3*ggbwtsdr2, 1k7x the resonant frequency og,mhy13,k s5*7gb2gxmbw dt rf the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring syste wphwwjg)15h-q;j /s n; 8jnham causes what kind of change in the reahh;s1jnw)- gj8q /w nj;ph5wsonant 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 ;6 tlozi+)leak ifb:xd*u5.47 plsul2 z8 kar a mass M attached to a weightless string of length L. t . lfx+u*z8)paldz5l kri 7uaobi:s 64ke2l;For this system, when undergoing small oscillations

  When the mass of a simple pe+:b0e w1peytujp*n 73*(ab l d)dcbc xndulum is tripled, the time required for one complete vibratibn1 ldexjbd c(c7at0 y bu:p*+3* w)epon

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendululduxpz+; lj*l px)g ; eq73kd/m A is twice as heavy as pendulum B. What is th)ljkl* dgdu7/xqzxp e;3; p l+e period of B?

  When the length of avh4 ybjvdmy01gc 9n;6 w+)qmg simple pendulum is tripled, the time for one complete vibration incr)nvbg h q19wg6;4yjvm0+dycmeases by a factor of

  What happens to a simple pendulum's frequency :m p05g94m;r r smm5cs xq1f scnpo-d9if both its length and mass are increased 01prns4oc5pf drsqc;ms5:xmm-m9 g 9 ?

  Simple pendulum A swings back and fortay5h*pk b +w7iau3xh6vzw5 )gh at twice the frequency of simple pendulum B. Which statement is w z)7g6y5x ub+w* vakha53iphcorrect?

  If you take a given penduls l2:u u5sux7qeub7 y g)zr1 .,qrofw/um to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of x)7l uwu sqr7s /bu2yue1gr, z:5.oqfthe pendulum will

  Curve A in Fig. 11-1 representer)n9.l+k5zp p n3hx 1/bwdh os

  Curve B in Fig. 11-1 represents flb /fxw0*,ei

  Curve C in Fig. 11-1 repre2:oh 4vb ; r/+ecyqfw6 ;im0aig,x mpwsents

  For a forced vibration, the amplitude of vibration is found to depend onq csb;,gi m9y9ow-kgr m)a8s- the

  In a wave, the maximum displacement of po-vsa ag.,le;y ints of the wave from equilibrium is called thys.;l, avg-aee wave's

  The distance between successive crests +nks l4yq 4-.+6ke(xeb ql0hovb8gi won a wave is called the wave's

  The number of crests o+ ryh*3ww:zr yf a wave passing a point per unit time is called the wave'+z:whr wryy 3*s

  For a wave, the frequency times the wavele*spq gsa,nby+n b - -5ar8im3cngth is the wave's

  The frequency of a wave increases. What happens to the distance between su0xy9j9kuc6 v hpltd:t oh5 n.4ccessive crests if the sp.0hx5 n pyvdh:uo t 9tjcl9k64eed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second w/t 7 f.;zgcxgq1n:ucd4)eakwave on the same string has wavelength 2l and travels with the same velocity. What is theugq/w. ke4zg n ;)x: a1c7fdtc frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tens vcnu-q1-n7 zzion T. A standing wave is se-z- u71qznvcn t up. Which of the following is true?

  A string of mass m and length L is under tension T.*y+tx /*j0 ypetxq)ly5w di1w 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 string is increasedlyt/t jiqxx * e*w+01yw5 y)pd to 2m, with no change in length?

  A string of mass m an rd a;93jyfi,zrj8g/ vd length L 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 8 9gijvjdf/,y3rra;z length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. Tuw0/z m( cqzp/he speed of a wave in the string is v. What will be the speed of a wave in the string if the tension is increased to m/cw(uz0 z pq/2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through dhm)errdy0ac8 9vv 605efb)g the Earth, the relative motion between the S wave a f) ha5v86bm0rg09edvder cy) nd the particles is

  In seismology, the P wavl s :d1t/iw fenu5ti1a d177sj6qdsn8e is a longitudinal wave. As a P wave travels through the Earth, the relative motion 7s end qd1 f61:5ait7i/d nl8swtusj1between the P wave and the particles is

  The intensity of a w1phng86)lak9fzraxe7 j 16 u8;rrhi r ave is

  A wave pulse traveling to the rig cnrobs. -f48nq 9du7mht along a thin cord reaches a discontinuity where the rope becomes thicker and fc7m.8nbuo 9rq4n-s dheavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal posy*j8:op; 0 gs)z 0for2mbaoeqcl4 v*eitive amplitudes pass each other on a string, one is traveling toward the right and the other toward the lefr*s: 0vel 80c;amy 2o gobf )pqeo*4zjt. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other o7oz*k;c e wc*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 th7w kceoc*o;z *ey occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both ends*w/e6jag hq x8 s6v:ky, occurs when

  If one doubles the tension in a violin string, the fundamental freque 2 ,hxge5o0 ll-5ngs4czr8nlhncy of that string will n 5gh0xc2es -g4z8o5ln,l lhrincrease by a factor of

  What is the spring consta2izr-s, z*o bhnt of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended z*rh-zs2bo,ifrom it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal + 3d xb/yw mgt9fu2u7;h/ncnd, frictionless surface. The spring is initially stretched by / n +yu7;xwg9dc3mtd/buf 2nh 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 amplitude?

  A mass is attached to a spring of sy - e x/ttul8pe1.qqf,pring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a for1./8yq-pq,t xu lf etece 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 sprintf6ho) pal85 .iqm52.jjsjlkg constant 60 N/m along a horizontal, frictionless surfa qifa .m2h.t ojpsl565j8jkl)ce. 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 is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 c-o kzx)- 1 ;yddhzx9ymomplete oscillations in 5.0 oxzy1;xd9)dh-z -mk ys. What is the period?

  A mass vibrates back and 8m orr mh)g zow+8*gfk;3rl4xforth from the free 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 from its equilibr3olw)xr8h8*o g r4kz;mgm +f rium position?

  A 0.50-kg mass is attached to a spring of spring constant80z8su1hxjqefieu*mawpq :ui2/l2xgt33 1z 20 N/m along 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 :hei zg a1t0sqx/fwj8e3zp *212 ulx uiq8m3uis the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cmb0uh6x-zyl f.o 6qm )f. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.u6bf- 0)m6.qlo xf hzy0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constani7 b0gi oit hj;t9 7o84arhth-t 20 N/m along a horizontal, frictionless surface. h -h gthoi4 jib89r77oi;ta0t 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 vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/mukd5r,70 jdoy7l+kk p along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s a5ldj7yo7+k,0rup dk k t 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 jx l24 3os:9zr9o/ m4zaifknx spring constant 50 N/m and setr 39j4:nxkl92xfm ioo/s z4 az into 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 or5n-log ,(ykxc g8*r mf spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is tg xnr,-gm y(8l*ro5kc he total mechanical energy of this system?

  A mass vibrates back8/yj:gnn)py1+o ke b5 gon .cg and forth 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 e gyo:ne)p.b ong/ jn5yk+18g cnergy of this vibrating mass?

  The mass of a mass-and-spring system iao,0 zg0pfc,a s 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,ao,cfp z0a 0g only 5.0 cm and then released?

  A 4.0-kg object is attached tcc* ;ai.m tjy0k9(cb;r 8zgfto a spring of spring constant 10 N/m. The object is displa fba y(itg; *.kc9zm80ctcr;jced 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 springod3,74-xa ,x k1y a vd: vdk(xydyg*ieac( ;hn of spring constant 10 N/m. The object is displaced 14 xn:gxdoyd;dy*7vea,, (3 caik dhavky(-x 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 sprinhq+5v:+ ;tct( lbmdru prlst;/e * w/ng constant 18 N/m, displaced slightly from its equilibrium positio +tnt 5m+*/(pruvhc;db/wslr : t q;eln, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates avot :b esl5 c*f*p5 b.qlyklf,7to,-c t a frequency of 1.27 Hz when displaced a distance of 2b t 7f5l,*esy ,q:clop.t5ocbkl f*v-.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to o 4zo4ej/2jcr0nf1u;ioc5 i;xeo y l-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 f4 n0uo; lf4e r -/eyicjooco1ix2;j 5zrequency 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.o;tuhlnekl o) :7nz).td 0ps . In equilibrium the mass stretches the spring 2.0 cm downlt;un :e sp l)h .kzn.o)to07dward. The mass 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 the xq k062q1 .tedormi2qspring 2.0 cm downward. The mass is then pulled2. rx0iqqdo21ktmq6 e 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 springjc q 4;x5l*r za0hjc::ocv6j a. 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. Write down its equation of moth:4;c56:ca z*xq lcrjovjj a0ion.

  An object in simple harmonic motion obeys the following position versus toa cu f*j)g6n6ime equang*fu a)6o6cjtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motis4,4(2dzmo;gt t az5xu sxb5oon obeys the following position versus time equazog4 m52os u(s daxb5 xt;z,t4tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion o*tj5m rh1n jwd-6yr5b ctwk(0beys the following position versus time equa-r5t b5m j1ct r0*knh w6yw(jdtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free enda gid9 4zh2x/s;fp :rl of a spring executes simple harmonic motion according to the equas h42f/ l xpz;:grdai9tion $y = 0.50 \; \sin (18\pi \times t)$ 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 28x:mtd 8au 2q3ly 3irb0.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stremqtl 3y :83xbiur82datched 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 f5 uiu9kh0z9gz requency and period on Eh 0ig9uk9 u5zzarth?

  A 3.00-kg pendulum is 28.84 m long. What is itrhqsrxg) db1d ig )d-+ er:a44s period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is i0iq lf.ibb 1m4la3.jxts length?

  The pendulum of a graqnes53g9c i-y ndfather clock is 1.0 m long. What is its period on the Earth-e qy59in 3gcs?

  The pendulum of a grandfather clock is 1.0 m long. Wh v3ms53xymx5lrm f7: sl/;; yldoqe*vat is its period on the Moon where the acceleration due to gravity is on; 5 7ms5 els:xr;ym3v*qxlvm/fold y3ly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass jgxf9/o2-dbxd/i*vl e:/fv j attached to a massless string. When the mass is displaced slightly from itslg fdb/vi -2*xof/ve:d /9xjj 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 instead?

A simple pendulum consisting of (*gl-jb jl7bwu* zfa .a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period of 3.0wjl-* *ba z7.g(lfbju 0 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 ,28ccp5fg6 etx) wriazn 4* gu9ejd7fat a given time. The frequency of the wave is 120 Hz. What a5,wdxz je4nf*78rcg 9g2 6ci)efptu is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given tk a*ojmi/c ((n r+gan,ime. The frequency of the wave is 120 Hz. What is the wavelejn/gm, ik*+( (oaa rncngth?

  Figure 11-2 is a "snapshot" of a wav y :jz0c7xvjyw3y45cs6 m on)re at a given time. The frequency of the wave is 120 Hz. Wy7:s)monr4 y 0xjc wvj53yz c6hat is the wave speed?

  What is the frequency of a wave which has a peri/g,cfnj :r:33vz eg6 )x7wa9qjcveiy od of 6.00 ms?

  What is the period of a m42bpbt *flo 4fw qpos:+5.cpwave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a1u--eir641hlc v:pid k r5etq wavelength of 3.0 m?t u5d er1klieqp6c:- h14 vir-

  What is the velocity of a wave that has a wavelength of 3.0 m and a frei q:d9gjq .(vb rf3ufgk625zvquency of 12 Hq26ij(fuk.:vd9qgzf gr3 5 b vz?

  What is the frequency of a:ciixz +2e bh( 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is (;*ghxx2 ieuo under a tension of 1350 N. What is the wave speed*oex;gh(i x2u?

  A string of linear density 6.0 g/m is under a tension of 180 N. Ws9 z,o zq,jzj p, gya:(s.i8jihat is the velocity of propagation of transverse waves al9jo. asy,zg isp,z ,q: 8jzij(ong the string?

A wave whose wavelength is 0.500 m is traveling :x o-5 srb7y8 tkcn0pzdown a 500 m long wire whose totalty5rzs8okxn 7 pb-: 0c 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-m9c5p qc+mqfg 6.;epoy long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of th6yfp gqc9qc .5;o +empis string?

  If a guitar string has a fundamental frequency of 500 Hz ql*9()f9e4fjgc drnz, which one of the following frequenciesr 94c*fl dn)fzq(je 9g can set the string into resonant vibration?

  A stretched string is obs 72/ym+yx xzchl 5n*qoerved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a sta72qzl*hn/ oyxxcm+y 5 nding wave with five equal segments?

  A string, fixed at both en+,oba hkl*k.x.-/ b xauz/im0 w.fojids, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the sta. lx +/wiah .. fka b*o0u/-jxzb,mioknding 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 itskv/84g8 4z ms9 qeolmy length be if its fundamental resonance8ey m44/9g smk 8vqlzo frequency is 220 Hz?

  Find the first three harmonics of a stri( pxz )0m)p2-m jimlymng of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tmi2) jp-x0mpmz) (lymension of 50.0 N.

A string of length 2.5 m is f e)d.h 2z ),hkwma(d-rvp;ouf0pmg,wixed at both ends. When the string vibrates at a frequency of 85 Hz, a so aum,m2dw)gpd.e -vwhrf(), 0zkh ;ptanding 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.