The time for one cycle1v/.8w hc9uqxvku 9midn 0j-e of a periodic process is called the

  For a periodic process, the number of cycles per unit time is cifaztj cn0g;) fr/ :-hk 6yav.alled the

  For vibrational motion, the maximum dik t2 r1guf,-*kdmie+ zsplacement from the equilibrium point is called k-t,*r21mgue zk+idfthe

  A mass on a spring undergoes SHM.tp5k-7axz r* 0f tflj. When the mass is at its maximum displacement from equffzat7p5l*x jt 0r-.k ilibrium, its instantaneous velocity

  A mass on a spring unde0wjw -ouz5 k(jrgoes SHM. When the mass passes through the equilibrium position, its instantaneous velk wuzwjo 5j-(0ocity

  A mass on a spring undergoes SHM. Whpv f;0w4zpl.ulv;z v0 en the mass is at maximum displacement from equilibrium, its instantaneous accelez4vuzpl ;vf0p;l.wv 0ration

  A mass is attached to a v2 zxmd0g5s6j (3ta/:cqtn *ipiq ug 7hertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic z5th: cudgg pmi 76 2sjin*q0xqt3/ a(energy is a minimum?

  A mass is attached to a vertit toi:17x t3ets;lw 0acal spring and bobs up and down between points A and B. Where is the mass located whette1o 7 lw3at:;itx s0n its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down bf6-t( m93t. bbfpn kbuetween points A and mtbt b-(bnfk36u fp9.B. Where is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and fielfs 78h m3 lw76s8fbobs up and down between points A and B. Where is the mass located when its potential em783ffh el8sfl w7 6isnergy is a maximum?

  Doubling only the amplitx5 (ysxop3 as1ude of a vibrating mass-and-spring system produces what effec(xy 3so5as1 xpt on the system's mechanical energy?

  Doubling only the mass of a vibrl1ro v ci,lp(*)1veui9x/ ntzating mass-and-spring system produces what effect on the sys vt n9,l*cixzv1rlepu) /o1i(tem's mechanical energy?

  Doubling only the spring constant:ua 0vwxkeg7: of a vibrating mass-and-spring system produces what effect on the system'swxg:k: e va07u mechanical energy?

  A mass oscillates on thr,fb4 50mfk4thp x 4bfe end of a spring, both on Earth and on the Moon. Where is the period the gr45ffbpx mr h0b4ktf,4 eatest?

  Increasing the spring constant k of a mass-and-spring system causes 9ig 598vmh6atzqgosen, c;ol+0h( u q what kind of change in the resonant frequency of the system? (Assume no change in the system's mass mlqeota56uh8no + cm 9;(v izsqgg, h09.)

  Increasing the mass M o0niyh8.qi8gy c gm/t u b/a/,df a mass-and-spring system causes what kind of change in the resonant frequen yhac, nig.8/b/dtim/quy 0g8cy of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-ahs l ,xdd -d;vxusp) :r4oa 7 )g,:g-yva-tauvnd-spring system causes what kind of change in the resonant frequency of ts la::g)ux p-a)7ht;-gxd,a- uoyvdv vsd 4r,he 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 consistsj 9fe2/ /s5t kifgns;o of a mass M attached to a weightless string of length L. For this system, wh ;s2j9fs5fn/ ko/etg ien undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one cic,nf lz bqvnt r ml76 7m/i.our74./nomplete vib74 nif/oic m / 7.7b,vrrz6.lutq mlnnration

  Both pendulum A and B are 3.0 m long. The period of A is T. Penduyhxf y-,et9k)y+*n 1z y x5gerlum A is twice as heavy as penduluyyrn,xy*1ghf-te 9x5 )ez+ykm B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complehj.m0v )vgp (ote vibration v p)o .v0hjgm(increases by a factor of

  What happens to a simple pendulum's frequency if both its length and masnx.jit ;)zvh-2yn.r1 q :uvnos are inctxqnvoj h.u;ni2zvy.r n:1-)reased?

  Simple pendulum A swings back and forthcoj3n f1 og9(lq5 *dqo at twice the frequency of simple pendulum B. Which gnjfolcq(19q3o d 5o *statement is correct?

  If you take a given pendulum to thelj57cvudard 1bw- a.: Moon, where the acceleration of gravity is less than on Earth, the resonca7 jla-5d1 d bru:vw.ant frequency of the pendulum will

  Curve A in Fig. 11-1 represe1wg2 7+n vzegtnts

  Curve B in Fig. 11-1 repre+feze 7wev, idht 137-0dy o r0fzgoh7sents

  Curve C in Fig. 11-1 repre6g8t: ,67ao jdrkgmjksents

  For a forced vibration, the amplitude a(+l) 2 )pub9qi gfxmgof vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium iuhjh 40wh.*u 7p *pdyxs called the wave' 40h*hj7dppyh x.*u uws

  The distance between successive crests5mtvdu2d; e.8pe6:e*s xor y w on a wave is called the wave's

  The number of crests jaxs:e.zz1pn0 xb,x2h *g :wr of a wave passing a point per unit time is called the wave's n0x2.:rag e*sxhx1z ,wpjz b:

  For a wave, the frequency times the wa6- crnc,nx q8evelength is the wave's

  The frequency of a wave increa u+o06z az;9oi1eykqnses. What happens to the distance between successive crests if the speed remains const1q9 u60zk ioz;oany +eant?

  A wave moves on a string with8i(x*6memiza*k4vl(wy qs z4ba( o6 n wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same6(mna kao 48v*i(iebzm4q z *y6 lsx(w velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tensioxc tn vvja;i5y2xth22 mp2g6,n T. A standivcxi x2p25,2ngtv;ymah2 t 6jng wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. 9p/ +5;fecttzy0u lcr 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 increased to 2m, with no change in l+ ;yl/ct0eptf 5 ur9zcength?

  A string of mass m and length L is under tension T. The speed of a wp9hod8to 2da3 ave in the string is v. What will be the sp9dhoda8 po t32eed 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 Tvksn6* 3z xt/ v,5fljj. The speed of a wave in the string is v. What will be the speed of a wave in the string if the tension f 6z/jv3ksvn,5jlt x*is increased to 2T?

  In seismology, the S hv h5 aeasud*e/3n b98wave is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the particles vhna8ebe 9u*5 /ad3hsis

  In seismology, the P wave is a longitudinak i8hi 5 p 2rp,sofvnai bp+(5t +-8bh+iun7cal wave. As a P wave travels through the Earth, the relative motion between the P wave and pinvbk ha a2-hipf,(87+ti8p r++uib s5noc 5the particles is

  The intensity of a wave az px9y) u*:0cl;d u:t(- qfdir7qfozis

  A wave pulse traveling to the right along a thin cord re 01vf ;/tjpzypaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the ry/ tvp1jzpf0; eflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each ot4y(vk9p*qrp*lx z;*p*fx ob r her on a string, one is traveling toward the right and the otherbl y;ko pqxvp*f9 x*(p** rrz4 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 traveling toward the rygshw 9te0v.6yy9o.u ight has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction w9e6.tgoy vh09ysu .y. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at both h1t+9 mhrh szm-m9:igy, e*aqends, occurs when

  If one doubles the tensioqs0d qlks, tt2 +gvdc ,6 qrn,5dv*gk5n in a violin string, the fundamental frequency of that string wi q6,t5nqt+kl,2 gvvq,dsds r0 ck gd5*ll increase by a factor of

  What is the spring constat1uay 9+ y:zeunt of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended from it?z +91yueut:ay

  A mass is attached to a sm3r9q,vi4b fcpring 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 mass and let go. It takiv3cqf,9 b 4rmes 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 constant 60 N/m along a horizontal, oygo)2*xtd 13.pcypdpe 2 /elfrictionless surface. The spring is initially stretched by a1ded 22y. opc */)pxgtypeo3l 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 constant 60 Nh.kc +f*oc8:xw7i-uon+m eoz /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 thoi8 o.7 khcuwnec-*z m ++xfo:e 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 oscillations in er 2yk.ezmeax 3 1.3o1o*ggbf5.0 s. What is the p3eag.*mexbeg rz o.fy1 32k 1oeriod?

  A mass vibrates back and forth from the free end of an ideal spring . ;gfyt4 r/h;hcdb m)xof spring constant 20 N/m)h g f yhrd4;;b/xc.tm 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 position?

  A 0.50-kg mass is attached to a4++r ;.vyxaq +xih4 lrqd4txd 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. t; .r+ih4x vqqardd 4ylx4 x++What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at th,l+ndp x.s-nn,nbr z 3is time. The mass is cu.lx- bnd,3zpn+r ns,n t 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 spring of spring constant 20 N/m alo5j +yg2a t8z4rxf, kdq dpd 1cif6oc;;ng a horizontal, frictionless surface. The object oscillates in simple harmonia,2 qf 14;r6o 8id5zcfxt;+kcdyj dgpc 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 nazcf1(y;g k(constant 20 N/m along a horizontal, frictionless surface. The obje((gzk 1y;facn ct 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 energy the same?

  A 2.0-kg mass is attached to the end of a hor oex z ;c8v2s)s f)jvx42s7nphizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total4xv8s p 2 )js7)xhezsonc2v; f mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal sn;,bylr0sctr2*. b sgpring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 mrs;l*gr 2.bts,cn y 0b. What is the total mechanical energy of this system?

  A mass vibrates back xd;/j vun* )u/1vhow a.qq8xjand 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 energy of this vibrating mass?nwv/ xx aq8u ujo*j/ 1;v)qh.d

  The mass of a mass-a;lv0t t:: nxiwnd-spring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz i:vltt 0nxi: ;ws observed. What frequency 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. The objmuifn9oq01k wz . b gi43f:gz:ect is displacemu bif1z:z3 iko.g40g9q f :wnd 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 N/m. qb4 gl5xmj 37jyr 9l8y(vo2*wrq:vu w The object is displace9l23yl7: jb58qwxv o v g(wyq4 mujrr*d 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 spr.ve4joas9/td ing constant 18 N/m, displaced slightly from its equilibrium position dj/t.a veos49, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscil :jt2mew3ph6t c ;,vznlates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velon3 m6 2 wz;hje:tvpc,tcity attained by the mass?

  Two masses, A and B, are attached to differen um3guki9s5a3t 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 ofik5m g33uus 9a A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium thekk :0*ivv 5 ,uw*tnlu/iw;7ibaz )nob mass stretches the sprikv5ibwt vnlzi: ,iakw** /u0;n) bou7ng 2.0 cm downward. 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 thedxud :hi0kxe y2)60v t spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0eid2y 0v)xdh0:tk6x u cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass/a +noh80z qx; ta:akp stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and kx0az a/:8htp;ano+ qreleased from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the folloke:0 f, fzpnhr5f i*roz04 mr.wing position versus time equa4hir.rz0o f,fpz:f5 0 knre*mtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys k b1c exo/.f/)prbgow g9ww/3 the following position versus time equc/xp.o 1/ ) ww/gbrwof9 g3bkeation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus/7 uy1e tsmjx. :1fmd/fuhpw- time equationj:x.-pufw7u1 1yf medm h//st:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simd/qfvno *gc1it-ww45 ple harmonic motion according tc*q-i5 dog v /tw1f4nwo 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 constan r.,/q uvpv5aq(rimi(. qv0j at of 20.0 N/m oscillates on a horizontal, frictionless trav(p/ a0.uqqa.vjv ( mrii5 rq,ck. 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 8.0ggtf 8q 5ya5u( s. (a) What are its frequency and period on Egagyq 8(u5f5tarth?

  A 3.00-kg pendulum is 28.84 m long. z6pm:ry/qg vz0a o7e-fyrg6( What is its period on Earth?

  A pendulum has a period7rdon dt0i(y t+5l;cq of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clockyz-) s: a+stsc2xwa k1.g c(o0c0hvdz is 1.0 m long. What is its period on the Earthad yg v1.2aczs zx)skct -0: (0hocsw+?

  The pendulum of a grandfather clock is 1.0 a i c47q lvugn:u7oz/0m long. What is its period on the Mov/zqua70 c74ug lno:ion where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a mass+w6(jd lb kf4xq6v3 e1yo+dbnless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequency +d64yjqlb1nwx+(db kvf63 eoof 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-r+ gs 1l,4tpi6 ssiji,g mass has initial angular displacement of 8.0e. It oscillates with a period of 3.00 srst g1+,,6 pj4lsiiis.
(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 arj xim3 -:dq:st a given time. The frequency of the wavmjqdr3si:x -:e is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given wkn ;96dpi lpe+c(c6z time. The frequency of the wave is 120 Hz. What is the wavelengthd pc z6pewn(k 96+ic;l?

  Figure 11-2 is a "snapshot" zio :.*huf o+bof a wave at a given time. The frequency of the waveo bu i+.:hofz* is 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a perio ap8k+w7(3geukr ub 2id of 6.00 ms?

  What is the period of a wave with -c*yaa-23 zs 8l/f hn(lnsuwma frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelenhn2buk g zj.,0qk g71kgth of 3.0 m?0j.72g, bzk h gk1ukqn

  What is the velocity of a wave that has a wavelength of 3.mhq* +nqr4mj45ohfrejh. q9; h;.jr d, zi2gr0 m and a frequency of 12 Hz?rgqndeji rj rm54;ohh2 4*.q h9m qrh;z fj+.,

  What is the frequency of or3)h hyk5ah* a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under al/rs ;bttu-s6:n +zf9d70d 9rt lyaqf tension of 1350 N. What is thd;fut: atbsrl0 6+yt7/99lf dn-s rq ze wave speed?

  A string of linear density 6.0 g/m is under a tensionyf30uhqknd o/lap-sz .2 c 77j of 180 N. What is the velocity of propagation of transverse waves kjqh32/dfl ya7zc-no.0pus7along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whos67cc zo4h:e y,)h zfede total mass ide4ohz6h )c y:f7cze, s
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 transversewnfe v*8df-bp +ym e;/u3+lle 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 frequd8 lleuep3;e+f/m vy-+fnw b* ency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the follbt2ldv b v419m9enyy2-7kur c owing frequencies can set the s92lydkevuy 1472b-vm b nrct9 tring into resonant vibration?

  A stretched string is observed to have four equal segments in a str6izuu82 ;ssf8.fw w8 g3ipykanding wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave wit38r.8i;fsug86 ky2w wz fs upih five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standing 3d*k6r,b wo- x*xyi ygtransverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to coi 6*x*gdkw-y b oy3,xrntain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N 6qq9yo2f5 5hh4vox pv. What should its length be if its fundamental resonance frequency ishyq pq oxv25h4fo 5v69 220 Hz?

  Find the first three harmonics )ek a0eey.v8 vof a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected 8)v.yke ea0evto tension of 50.0 N.

A string of length 2.5 m is fixed at boj dzu*l+ aueqvm,x:11th ends. When the string vibrates at a fvx,m+a1 du *eqjuzl1 :requency 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.