The time for one cycle of a yida2l ,ga vrr4 2/vkw6 )7jegperiodic process is called the

  For a periodic process, the number of cycles per unit time i 5rzpi m4fr49is called the

  For vibrational motion, the maximum displacement from the rl 75mg.*g 4+8d d2fok3y)mn eu qmqxeequilibrium point is called+5q37dx) e emdy.kf8*ng2qr4u lmg om the

  A mass on a spring undergoesh+fkqu jb8 y2fq8n1e 4 SHM. When the mass is at its maximum displacement from4ff18ubeqhk8 njqy+ 2 equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equi-3is b( f 3,o)egp -cagev5icplibrium position, its53c)( oie- p,gsbvpaf3gc-e i instantaneous velocity

  A mass on a spring undergoes SHM. When thedn3zxsx6z6 +e2; +r lzj.uujf mass is at maximum displacement from equilibrium, its instaexu+l;duz36j6sz+zj.f rx 2nntaneous acceleration

  A mass is attached to a vertical spring and bobslo: 4 ygx2z.zf l4c2vv up and down between points A and B. Where is the mass located when its kinetic4olvfl4 y g .c2z2v:xz energy is a minimum?

  A mass is attached to a vertical spring and bobs up and dow8uq6v+l..l(*-(dwo g,ppsz fwczejm n between points A and B. Where is the mass l csl-gpd,fpzeqo(6m(lvz. *wj8 u+w .ocated when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points A tl, 2,ajhbujsn; l( w8az- 7amand B. Where is a,n8w ubhaj zsma(, 2jl7;t-l the mass located when its potential energy is a minimum?

  A mass is attached to a vertical sp/ zac/y4z 1a5lvyru 5m vabs-;ring and bobs up and down between points A and B. /vyulaac;5mv5 1b4a yr zz-/sWhere is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating7 +bdv0bne f9z8.tm:zyi) izw mass-and-spring system produces what effect on the system's mechanical enez.tidemfbbw+z:9zy )n v 807irgy?

  Doubling only the mass of a vibrating mass-and-spring system produces whalh9/ lrq. 3svvt effect on the system's m/9l3h.sl rvqv echanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring syste u( 7i3zuibu:hm produces what effect on the system's me u(uziuh 7ib3:chanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon.xso2eo l-i9-0 ia r)cnsr/b*g Where is the period t)iabos0- xegio*-2lrnrsc9 /he greatest?

  Increasing the spring constant k of a 3jillc1nb3,.*f xo*rjl5ef mmass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change lbnf*f3ji * j5. 3lx,1eco lrmin the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of c lus(0fy: 2nvehange in the resonant frequency of the system? (Assume no change in the system's spring cfun( vesy: 2l0onstant k.)

  Increasing the amplitude of a mass-and-spring slty f 7ql;o0h-ystem causes what kind of change in the resonant fy0fo7-t;q ll hrequency 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 consxl9e k 9f pb/ q gdlt37j.2rjahq-)a,mists of a mass M attached to a weightless string of length L. For this system, when undergoing small oja )pqax e3kglj,q /.-f lm79dt9brh2 scillations

  When the mass of a s 7vdp ka-vyi3;imple pendulum is tripled, the time required for one complete v3i7pvyka-d ;vibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendxip20wjun ; jq*9 0)k(xi oyu8zszcj4ulum A is twice as heavy as pendulum B. Wha20xqx8;snj 4u(woc0yj z*9 ijipkz) ut is the period of B?

  When the length of a simple pendulum is tripled, the time for one completm,pu*u: tlxz:e vibration increases by a fum pz ,:uxl:t*actor of

  What happens to a simple pendulum's frequency if both its length and mol8v etw2z2m1df2l7 yass are increaywl2 t8o1 lvzf2d e27msed?

  Simple pendulum A swings back and forth at twice the frequency of simple pendulu2fju 5 h/by0pym B. Which statemen 2h0fpbuy5j/y t is correct?

  If you take a given pendulum to the Moon, where the acceleration of sjz*9c7zyz9iiub,4 ,sikd l ,gravity is less than on Earth, the reso zdjbiyk99,s,4 ,ucz iilsz7*nant frequency of the pendulum will

  Curve A in Fig. 11-1 represeck uko(:rg+fr;z- 8 iblj(n1a nts

  Curve B in Fig. 11-1 :pcsr la; 1ii s;0jra9represents

  Curve C in Fig. 11-1 represcd9p;- l ebx0)y0jis zents

  For a forced vibration, the amplitude of vibration is found to depend on thes:m9xw8h 5*i qd wyi:o

  In a wave, the maximum displacement of points of the wave from equili, dd-cxsn5fj u k*7:r9mz,l zy: gewl8brium is cal m:y ed,zgnf:l9 -cs w*7lu,zr58k jdxled the wave's

  The distance between successive crests opqzrm l+.ra)7 n a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the24 p:won9/f4j8a azjnpm*8 ;lhzh4)zebzwh s wave'pa ;ohzesawn488:jzwh 4 )lz b9fmh4*njp/ z2s

  For a wave, the frequency times the wav.4 68 :pq7es wn6(wwpygckezr elength is the wave's

  The frequency of a wave increases. What happ6r5(sdk(, f9ll4fhknb lbq.hl,gz ; e ens to the distance between successive crests if tbzfn (. 5lb9,g4lf l,hrkdes;kq l6(hhe speed remains constant?

  A wave moves on a string with wavelength l and frequency;tq;wx f+ w0ub f. A second wave on the same string has wavelength 2l and travels with the same velo0bq w ;+wutfx;city. What is the frequency of the second wave?

  Consider a traveling wave on a string of lenv9m55n lopeyh6v h;;ygth L, mass M, and tension T. A standing wave is set up. Which of the followvhpl6v;meo9hy ;5ny 5ing is true?

  A string of mass m and length L is under tension T. The speed of a wave9l * ydt-pxfk:q (r-rm in the string is v. What will be the speed of a wave in the string if the mass of the string is increaxtlryq*r(d-k-fmp : 9sed to 2m, with no change in length?

  A string of mass m and length L is under tension T. Thu/.r 2 ctj( mk0wpta*ue speed of a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, wiuk 2.rt*/pc tu ma0j(wth no change in mass?

  A string of mass m and length L is under tension T. Tmfi+aq .q3 s0v,)w rythe speed of a wave in the string is v. What will be the speed of a wave in the string if the tension ist) .i0sy, wfmr3vqq+a increased to 2T?

  In seismology, the S wavm1v;lj 4tafccm w8oln)6/ w q2e is a transverse wave. As an S wave travels through the Earth, the relative motion 8jwonc la lt4)/f;w1m c6m qv2between the S wave and the particles is

  In seismology, the P wave is a long6. wbi*o mzzsm1 .e2geitudinal wave. As a P wave travels through the Earth, the relative motion between t*mbw e.is oz2emzg.16he P wave and the particles is

  The intensity of a wave isq7b, v66srdv;/7g trq xtlg* u

  A wave pulse traveling to the right along a thin cord reaches a discontinu*;3w/9b3xieqmyh+gq l c.xkyity where tcx 9b3ly3xw+ey.;mg*k q h/qihe rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each mwdsa t5* y8;hother on a string, one is traveling toward the right and the other toward the left. At the point that they occupy t*a 5;8twy hmdshe same region of space at the same time

  Two wave pulses pass each other ofox k (h5uifr/h44gm9y: 4gs on a string. The one traveling toward the right has a positive amplitude, i5g4yog:hfu(m 4hk f4 /r9xos 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 time

  Resonance in a system, such as a string fixed 4g dgmqgu92 njk98r1 nat both ends, occurs when

  If one doubles the tensionp d,mwb1v,f h1x n(rb, in a violin string, the fundamental frequency of that string will increase by a facxh,p(md bnb,wfrv1 ,1tor of

  What is the spring constant of a spring thuv 1 9lmzb+-ijat stretches 2.00 cm when a mass of 0.600 kg is suspended from l-+u1 mzj ibv9it?

  A mass is attached to a spriipd(h +ft -js9l 7v2xang 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 m -lvsh7dji(2 fa9px+tass 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 of79p :bre iox(k 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 is oscillating. What is thexkpo 7e 9rbi:( period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a( qq kaznw:7rx30wy )w horizontal, frictionless surface. The sprk3xzy rqwwa )qw0 (n:7ing 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 tliyo 9nh.le7 af9 h))ohrough 10 complete oscillations in 5.0 l)9ien )olyf9h.ah7 os. What is the period?

  A mass vibrates back and forth from the free end of an ideal spr:*dw+v,y-dey n spkd/ ing of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic +:ped*v nd d-yw/sky ,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 sp/2eirnab*wjk n ho.*v scek.5pfo:3epb -(a-ring constant 20 N/m along a horizontal, frictionless surface. The object o*cjsw/oe -v3iena5 2k. bnkh*o-pp f(aeb . r:scillates 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 tif jmw4:16vp aime. The mass is cut in half, and the system is agai: a fw64vji1pmn 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 constant 20 N/m alongaka968(ex ( -k vttthe a horizontal, frictionless surfacevkhettaa x( e-9k6t(8. 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 attilyw7 6 txe2(eached to a spring of spring constant 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. At what location are the kinetic energy and the potential enery6etx7 el(i 2wgy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spr2pq 8n4 0e9hrm bf.zmying constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the tote r fbhn0.m4pyqmz928al mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal springkj,xd7t :cnd0 i7 qu)m of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical enerti7umjk d,xc0qdn ):7gy of this system?

  A mass vibrates back and forth fbn)y:p) 0lw 8x gjtsv:rom 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 vibratij)wgv8ls) 0tny::p xbng mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibr1 kphuu/-d.qf ium position and released. A frequency of 4.0 Hz is observed. What fuu.d1/f q pk-hrequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. Thel5 dbzszwq+9(t .m vi( object is displacewqzt+l9z5( sv .id (bmd 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 covl d+5xw/3pfr0dr +donstant 10 N/m. The object is displacedd wd0 /f 5rv+lp3+dxor 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, displo - gwbrsgxde;e6j;z05:be 2 baced slightly from its equilibrium position, and released. What i; j ;w 5-debbs20rxo ezgebg6:s the frequency of its vibration?

  A mass is attached to a spr g+zj ugjph)yv k09l8:ing. It oscillates at a frequency of 1.27 Hz when displa 8:)9kg+lj pg zvuh0jyced 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 th9fk (g:m*oyho 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 sphm (*k g9fyh:oeed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretchjai.s94f* 4gv c -9ahbl kvl8nes the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. 4v i*9l.4fvbl-cnghs 8 a9a kj Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spria4*mojrs dn8 1ng. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is t8anm ojs4 *dr1hen 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 7j ea*hf ;sh9nequilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulle9ash ;en7f*jh d 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 following position veru: b6a 9wntd e;g-jwl*sus time equ9wwb:en6 ud* ;-ltgajation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followi2ziv- c:bg n5sw 6vl,bg+ yn.yng position versus time equation:5gby.y: sv+vc-n6 in, lzwg2b
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the fkje. 1zhj4 lmb z;:ft/*1 vyzzollowing position versus time equati4mb. yk1z:vtjzh z ;f*e1 /zljon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a djcn38 t)6v)s 6apaygspring executes simple harmonic motion according to the equati 6psvcjd3)8ata y6n g)on $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spriy;lcz7 o+dd/z ng 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, the spring is stretched by 1zdz oc;d /+y7l0.00 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 frequennmz* )w+*3ltdo;6zn rlgyk z/cy and peri zo3yd*z ng+t/; zk)n6lwlmr* od on Earth?

  A 3.00-kg pendulum is 2yivzk +0t9 gt28.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its le-3lwsq k d9 w nuqrijfr/c-*69ngth?

  The pendulum of a grandfather clock is 1.0 m long. What is fi. im5kig (q-its period on the Earq-5k(m g f.iiith?

  The pendulum of a grandfather clock is 1.0 m long. What is itszmewfl6+m 4c9 ly ,lo( period on the Moon where the acceleration due ,f 4mo69lem lc zwyl(+to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached 1l qm26, e5;8 +jsvqbhzcsyl jto a massless string. When the mass is displaced slightly from its equilibrium position and l j, 6e;msshv 5 q+q2czlyjb18released, 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 an kuq *t,ga-ym;gular displacement of 8.0e. It oscillates with m kay-,t *;guqa 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 6daqv f7;f+y atime. The frequency of the wave is 120 H fav+qa7f;y d6z. What is the amplitude?

  Figure 11-2 is a "snapshot" of a w*.-jwb/ f c k8:icclpgqj ua ;sh96xmn9w0(kmave at a given time. The frequency of the wave is 120 Hz. What is the wa.k9j *bmn(s;mk-xc/uhqiww809 f: gcjl apc6velength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of tl7afuitg r -.2he wave is 1tl-u7agr i f2.20 Hz. What is the wave speed?

  What is the frequency of a wave whichmd9.0jsr p vc. has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1q8 0o5/ px )p9yg9m l;wekojio500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelengtg zh*.7z8o hdwh of 3.0 m? 8 7.gwzdho*hz

  What is the velocity of a wave thvsskg3;+5ym g4eqlb4 csas n.8 h8)e lat has a wavelength of 3.0 m and a frequency of 12 3gklgbs8y seh5c)4+es4lnm8 v;a.sqHz?

  What is the frequency of a 2.5 m wave traveling at 140( qwgbh:0m7k+ h(hw58xf bwmgvd )in;0 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 N.k3u f:3xqskp1 Whatkpf qxu3s k:31 is the wave speed?

  A string of linear density 6.0 g/m is under a tension of xjb6c8u s-h (h180 N. What is the velocity of propagation of transverse waves along the s6uj(h8-xb hc string?

A wave whose wavelength is 0.500 m is thdpdgavqsby. 68( w.- raveling down a 500 m long wire whose total mass b .gd6q.adys(p8w-vh 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 /3yhys dz (d93 4hwrnia 2.0-m long string fixed at both ends is 200 m/s. Which one of the follow hids n94 y/y(zhw33rding is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the folloaz(i;+ogl 7 8e;a-q-cjnbgyp wing c8p ol q-n;+-yje7;ga(i g zabfrequencies can set the string into resonant vibration?

  A stretched string is observed to have four equt o-a97 4lrka qbe3 qyf1 s;qfn9ge0p1al segments in a standing wave driven atfa7bo4n9gaq 3qf;tle 1yr9 kqs0- ep1 a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of f z z8n/lz.c( n*:cq nbymxj0712 Hz with a standing t(.bc0*cx78zzy nnjl:n m/fqz ransverse wave pattern containing 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 tension of 20 Nt 1m35mda;psd . What should its length be if its fundamental resonancea3;tp1dmd 5 sm frequency is 220 Hz?

  Find the first three harmonics of a stringfw+p4gy5n;i 0wbjj0 a of linear mass density 2.00 g/m and length 0.60+jy4n;j5b giw p0awf00 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 vibrat;q)is j4 x-anres at a frequenij ;)r snq-x4acy of 85 Hz, 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.