The time for one cycle of a periodic process is h-i)t/eg c-wycalled the

  For a periodic process, 88jqxzj5wxp0 r c.uk 0u::bfo the number of cycles per unit time is called the

  For vibrational motioi/s, r6 3kb cjgjo,zku12 nm(hf5/yl on, the maximum displacement from the equilibrium point is called y( j/,/gjkbucsf nz 516ohlok ,r3 m2ithe

  A mass on a spring undergoes SHM. When thp aw.z,j8 c+rasx z8m0e mass is at its maximum displacement from equilibrium, its instantana8 awzm, +rzp8sj. c0xeous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibriu3 p.oag uqq(lomo//g; m position, its instanta/;pu ( .glma ooqq/3goneous velocity

  A mass on a spring undergoes SHM. When the mass is at majs4rtyu. ;j/ .ui2 kcnetw8h)ximum displacement from equilib.juw4nr; )yhik u.te2j/ts 8crium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down bed u lz,c6u2do xgjr f/*4rn7 g1+gkco/tween points A and B. x+j4o7z1ruconu2lc / /6,dkrgg *dgf Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between poinse 7c kp5+iua;ts A and a +75iekp ;uscB. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spy7a )def tp1(tm ct:)rring and bobs up and down between points A and B. f7rep mtct):1ydta)( Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and6jy 1t7. rwvnd bobs up and down between points A and B. Where is the m.n1dt67y jvw rass located when its potential energy is a maximum?

  Doubling only the ampliq3wxqioc5pm e2n uj8 7vs9(p/ tude of a vibrating mass-and-spring system produces what effect jp pns5m x c7quw3 /oq(ie928von the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system pu:o, 0h v;bdto)w rhc,roduces what effecvwdh )0hooc u:, tb;,rt on the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring systemox ivn m8y6,p, producesv8poin,6 ,mxy what effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Eav75gas (c9s lvrth and on the Moon. Where is the period thsv95l c vgsa7(e greatest?

  Increasing the spring constant k of a mass-and-spring systemy7/x q.kyn89 b5 fofse causes what kind of change in the resonant frequency of the system? (Assume no change in the system's ma f5 xnf /ys87eq9.bkoyss m.)

  Increasing the mass M of a mass-and-spring system causes what kind of chan 3geer3x8xh9s h0a-z pge in the resonant frequency of the system? (Assume no change in the system's spring 3 3gxe0e8rp9-haxhz sconstant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind 56twac 3t9s fk hd:o-zof change in the resonant frequency of the system? (Assume no other c659d-hft t z:okca3w shanges 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 a mass M attached to a weightless string of length2e+h.xwsh.dy L. For this system, when undergoin+ hxh. 2swy.edg small oscillations

  When the mass of a simple pendulum is tripled, the time reeumt 6 )9xxpnqi ,lez2tm( v,9quired for one complete tqpveel xz6,x2i ,)mn9 t(9um vibration

  Both pendulum A and B are 3.0 m long. The period t:h o0 s-pvu1cof A is T. Pendulum A is twice as heavy as pendulum B. What is the period of s u1otcp-hv0:B?

  When the length of a simple pendulum is tripled, thx30 liw, h.qh2vy xpg6e time for one complete vibrati lh2hviw 0p yxg6.qx3,on increases by a factor of

  What happens to a simple pendulum's frequency if both its length andkl sa. zv4s6 onuu7dz. h(gb1c z08q6cd: 8sjz mass are increc1dzg. h6j.l8:s zbu07(cda nz4s6quo z vsk8 ased?

  Simple pendulum A swings back an 3 rp2sr ,v7huz+ws p;8pzzj)yd forth at twice the frequency of simple pendulum B. Which statement is corruzy+h,)wjzs 8prrz73 ; p sv2pect?

  If you take a given pendulum to the Moon, where the f l,fxpxu0k av t-k:8/za3,mcacceleration of gravity is less than on Earth, the resonan pta :- kxxm8/u,kf3lc0f,zvat frequency of the pendulum will

  Curve A in Fig. 11-1 represen,o,ci;8b qsctts

  Curve B in Fig. 11-1 r rbueq1u z7c5rsg8)k- epresents

  Curve C in Fig. 11-1 tr ilco1 4l6pk s-s44n7y1gx qrepresents

  For a forced vibration, the amplitude of vibt/+kze9jgc+r2fj .ob ql* m- tration is found to depend on the

  In a wave, the maximum displacement of points of the k7(euxf ad8 geq*8k) zwave from equilibrium is cal dke)xqz*g8au8 ef(7kled the wave's

  The distance between successiv96wgvzxz 4 syrb,y,jyqh 9y4l3sm9d .e crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the wayo,c7ujt el-gng 10md;-asqfmi3 *v,ve'*ungy-; 01t7igol,m je-qs,am 3fv cds

  For a wave, the frequency times the wavelength qo qxq 3dd51f9is the wave's

  The frequency of a wave increases. What happens to the distance bb 6xvrc uze:5gy25;cb etween successive crest5v2 b6 ugc;ry5cx: zbes if the speed remains constant?

  A wave moves on a string with wavelength l af2ib mg n. a (:*0c3lecg59txim s;snvnd frequency f. A second wave on the same string has wavelength 2l and travels with the si*cxs g29ic; s tmmnbvf 3n.(0ag :e5lame velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. A staym8 hiyv3dn,:7 ik: xhnding wave is set up. Which of tn3y ydix :7hkh:i,m 8vhe following is true?

  A string of mass m and length L is under tension T. The speed of a z4rk b5qd 9xtv0g jrsu-zk)uxww30.e .+cn*b wave in the string is v. What will be the speed of a wave in the string i geb+43.w)q0cxu 0v 5sntk*9.wujzb-xkrrdz f the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tenumq+ hppiq5q/0 8gw9nsion T. The speed of a wave in the string is v. What will be the speed of a waveph5/ 8pgi+uwm9n q 0qq in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and leng jyv+5m/(8ui5kdn znith L is under tension T. The speed of a wave in the string is v. What will be the spee n85vzd/ (y+5jii uknmd 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 travels x p-b- fu/+vw. ftowe-through the Earth, the relative motion between the S wavewu.b-vp-fe +/ox wtf- and the particles is

  In seismology, the P wave is a longitudinal wave. bmp,ehhg*la;e i(v0; As a P wave travels through the Earth, the relative motion between tlap*eg ;hb 0;,vei m(hhe P wave and the particles is

  The intensity of a wavekx/r luj d*art ;i9v5* is

  A wave pulse traveli juaiwh6q mnaj:z 7367ng to the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of ta6 qma7jw6h3zuj7 n :ihe reflected and transmitted pulses?

  Two wave pulses with eq gq s;+*zsiz:dual positive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point izgs*:+; zdsq that they occupy the same region of space at the same time

  Two wave pulses pass each othr -b23t1)(uztbbs dd)hrygr w+,zrt ;er 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 they occupy the same regizdrt1tdrzbhgw2t ; -+bb)3u(rs r ) y,on of space at the same time

  Resonance in a system, such as a string fdjg 1 kbzi)r(-(jxl e+ixed at both ends, occurs when

  If one doubles the tenszpdf f4wfsn ,)tyjd7k )1d9u:ion in a violin string, the fundamental frequency of that string will increase b pkjd)zdntfyd47uf f9: w1s, )y a factor of

  What is the spring constant of a spring that stretches 2.00f0iy3c1 xg ;gk cm when a mass of 0.600 kg is su ;gxy0f1ic3kg spended from it?

  A mass is attached to a spring of spring constanqrzx4fcsk3u m+,7ebfk3 (a6.t jpj9 at 60 N/m along a horizontal, frictionlesap k6b,kf3(rx9saq. t cem3zfju74 +js 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 the amplitude?

  A mass is attached to a spring of spring constan1ar*:y6n:j)un 2 kvijlfo6cc t 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 ba:vl *1):r y6n62ficckojjun ack to its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring consmp 98 w3ax*uthtant 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 oscilxmu3tw8h* ap9 lating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations in; jy5x4dyzp- 7h.l( ux2s uzdh 5.0 s. Wh.jhx5h u7;x2yd(dpzys4zu - lat is the period?

  A mass vibrates back and forth from the free end of an ideal spring of sprinx.tc1r/ v/g-wlki t /ag constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating c-tlkagt //wi x.rv/1mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attachedk6u)pvck2 5;u zr*z- lj a zn/w:sglz, to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motionkrzzlu6- p* s5;gz/cvuzwjl a ,:)nk 2 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 ti ( 2,8-hs 8sk .bfrg*hiwsrfvdme. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy ofk. riv,8f shbw 8(g2sfdrh -*s the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizonig ar3rrljx0 s93h/3n tal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 ms33inx ag/j0h3rl r9r/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a sjsqouj;ge ql 4/344b m (sikiv/68h( whvt qz6pring 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 locatiobwu; ( 4vj3o 4 tis6(ke/qh6im8jlq/gqzvs4h n are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontalbugmzxinz / d*7s4 gf6k+)f)w spring of spring constant 50 N/m and set into simple harmonic motion with au g 4 bfzxw mfkgn/s)d7+)iz*6n amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end-xf,vr.kk 3f)hq .wec of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mxv-,cq 3 rhkf.fe.k )wechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of spring)n 38b4txa t (vsafr vre7v*8h constant 20.0 N/m with an amplitude of 0.250 m. What is the maxime8 *b4a 8vxvs7ht3trfv )(arnum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displ/xi+k; :3k4gs7 0rqrojpgncr27 ya ncaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass hag;c xr7y 703r srkkpqjc g na2i4+n:o/d been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring vmqd6l+yfynk l892m vf+i,4 *zwalz*of spring constant 10 N/m. The object is displaced byw da2fqyi +l m+9f84k6*vv l myl*n,zz
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 N/m. The obkbn1sl ./ 7nwfject is displaced nw f7nbks/1. lby
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 o:c mcia a7;pbz.z3,mek8f wj8 f spring constant 18 N/m, displaced slightly from its equilibrium position, and remkb88 w;mazje:c 3icf,. 7z apleased. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequenca5/mj 6 jfbfyzzuw+i0 a)l7q,y of 1.27 Hz when displaced a distance of 2.0 cm +azay/ fu5,lj 6mf0 7izb)wqjfrom equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates witi x ;zc(w.fq)gh 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 tw)x izcq (.;fghe maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mzop.p hdow9:( ass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance o9po(p .w:d zhof 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equl03yo,aj9 bk m0we cr6ilibrium 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. Calculate the totj0 3le, 60 wk9broacymal energy of the system.

  A 0.30-kg mass is suspended on a: mrt8e8bug-u ,c2cl i spring. 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 e2l :b,gr u 8cuitm-c8rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus ti z3lgl*kq1n4dc.e-5ntm : c jbme equatiokq*dj.cng 3bt: m4zlel 1-cn5n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versusa d8o67usbl g- time equa -7glbdos u6a8tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motq8z*+r hwgmi2 ion obeys the following position versus time equati* q grhi+mw28zon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simpar*w:h ywyl :vv**q,tle harmonic motion accorvwya v**t * yhqrwl::,ding 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 force constant of 20.0 N/m oscillates omm aib. .z6t:mgn1zh;n a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is1 iam:hmzn z bt;g6m.. 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 freque- 7z 4t-mqks ski5p if87eybw,ncy and period on Eaptkm8kz-yiw i47s 5se f7,-qbrth?

  A 3.00-kg pendulum is 28.84 m long. What v.xnz8bvvcv3 kp;k/5is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its length? 7cgx8f+s*q5 5hexq si

  The pendulum of a grandfather clock is 1.0 m long. What is izu7(ur 5cjr /2qfq xwvi 8o8fzn d0**qts period on the Earth*jqf8idqqz8xf cu ro*7v5 /n(u2w0rz ?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the .njf . 5alqa9nMoon where qjf a5nl a9..nthe acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum coub( e1+ b0 yfaslu;50bkczge1v sc4qbgsc3++nsists of a 0.25-kg spherical mass attached to a massless string. When the mass is f+0a b g54q+ ;ssv+ksceb blguy1c(ezb13c0u 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 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 angular displacepnqv5q)i rv209nhtz e*r( 9mchu 01c ement of 8.0e. It om0q i2np 1h9q5cuev rctv(r*9n)hz0e scillates 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" of9,nf zcma:vyyul)w2+ 9 v) wda a wave at a given time. The frequency of the wave is 120 Hz. What is the amplitude?aufynw awm2y9z l:+,d ))9vvc

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequeehd.,eg ,.lj uncy of the wave is 120.ug.hleedj, , Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given tiwmgw- *ej08cm sz+6/dtqs b9ime. The frequency of the wave is 120 Hz. What is the wave spee+jewi t9d w*gzcm80q-bss /6md?

  What is the frequency of a wave which h+45 +eh 7uolg.e)h v;n kgwekwas a period of 6.00 ms?

  What is the period of a wave with a frequency of 1e.3cuw gwc8y2 500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a waveleng/*e4gj oj at+zth of 3.0 aeg4o*+zj jt/m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a 99th39 k;jjen7hkx hu,fz q2gfrequency of hjhzx9f3qn2gkk t;9,h eu9 7j 12 Hz?

  What is the frequency of a 3x.gnh; 5w lavxib6ue 3iq/t42.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 mj 4e..xzaz)okg/m is under a tension of 1350 N. What is the wave spej.z e)o.xzm4aed?

  A string of linear density 6.0 g/m is under4ek1.3r t2mmvqh+be w a tension of 180 N. What is the velocity of propagation of transverse waves along 1tvh 4.3 k+2mqwb eermthe string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wtf9-dgz l8t5t5z 4;yg edt8if2(yyku ire whose total mass ise8d; ftgti4 (l28 dzy ttgk559yzuy-f
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 ,j)/v sxtvb:) oi-qwkof 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 frequency ofxsj), )ov: bt- vk/wqi this string?

  If a guitar string has a fundamentad n7/l j9yt3ubl frequency of 500 Hz, which one of the following frequencies can set the string into resoj/y 3nt7u9lb dnant vibration?

  A stretched string is observed to have four equal segments in a standing wa6 vsas m;6o1ycve driven at a frea1cms y 6osv6;quency 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 12 Hz with a st+t 8q nvx5i6opvy hl.pag6w6 )e;qg z2anding transverse wave pattern containing 3 loops. Whatqqepwv66h 6 ;.igvn8p ax+o2g)yz 5lt 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 N. What shouldmfen00g(l xn; its length be if its fundamel( ngx;00fe nmntal resonance frequency is 220 Hz?

  Find the first three harmonicleio31 7t vu(fs of a string of linear mass density 2.00 g/m and length1vluto3 (efi7 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed 7.pgyehf1(lo at both ends. When the string vibrates at a frequency of 85 Hz, fg1el7(phy. oa 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.