The time for one cycle of a periodic process is called thz ltf2*z.m (3yso+mt ie

  For a periodic process, the caqo5j/sy6w*et/4 wgnumber of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibyak/, ol+ hc 0kk1wj/orium point is called the1+wo/0 k/aj l,kocyk h

  A mass on a spring undergoes SHM. When the mass ir38whbd lz36f 1-t;6 tjxbqp bs at its maximum displacement from equilibrium, its instantaneousfw ;bl6pt bz36h18 jtb d-3rqx velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibriume6wuqhrzs dr ,gkx( (i8 3sv-0 position, it3q ds eks rv8z 60ghx(u-i,w(rs instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximumgiqn7p m.g6k l)q4: dv displacement from equilibrium, its instantaneous acc:m)v ikn q.pg6l4g7dqeleration

  A mass is attached to a vertical spring andk *bb9l7- gw. xf0hqil bobs up and down between points A and B. Where is the mass located when ll *h7q bwfkgxb09-i.its kinetic energy is a minimum?

  A mass is attached to a vertical sx.u*x v3c1smy pring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is cx3xv m*.1yusa maximum?

  A mass is attached to a vertical spring and bobs up and down between poin)m2e4ahn4 k)2 f ymugium.c4o 8jp4a tts A and B. Where is th k.4 uf)mmtyoian)g484mce j2h24 ap ue mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and iqty3t :ek4o8*gq dgpgp9i3;down between points A and B. Where is the mass located; *popg3et8gq gi9k3 iqy4t:d when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring q keh8-yr8-za system produces what effect on the system's mechani8-a8q-rk ezh ycal energy?

  Doubling only the mass of a vibrating mass-and-spring system produces ia fu( 0nddk*1w5xnu3 what effect on the syst a0 dif3u5xnk u*(dw1nem's mechanical energy?

  Doubling only the spring constant oleb 9p*:n:1;mh a w6(r9;xqqxjzgcikf a vibrating mass-and-spring system produces what effect on the system's mechanical m k;lrc;xp*a9e:g :iqhx9zw6q j n (b1energy?

  A mass oscillates on the end of a spring,u7 r en4w: wjmbm 8lxh2;es*a. both on Earth and on the Moon. Where is the period the gr :h snlwa exe*mj42u. m;8bw7reatest?

  Increasing the spring constant k of a mass-and-spring ,m34t ct zzh9hod k95zbby ,v6system causes what kind of change in the resonant frequency of the system? (Assume no change in 96z,hdmh z3bbtok4c,5yvz 9tthe system's mass m.)

  Increasing the mass M of a mass-and-spring)s xn9 hr5odprz1)- w w-qs)gz system causes what kind of change in the resonant freqx)q) -1)sgdr swwz9 ozh-nrp5uency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causesw y7n+b;nijnm8f :ek/ what kind of change in the resonant frequency of the system? (Assume no otheremf +bn/8 jknn7y: ;wi 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 a mass M attached to a weightb:x8l-vn+dxg m .smd9j/dn -jless string of length L. For this system, when undergoing small 89djd xn-nmdlsvm +-.b xg: /joscillations

  When the mass of a simple pendulum is tripled, the time required fouesrc5**b ;sk r one complete vc*b5s;s* ruke ibration

  Both pendulum A and B are 3.0 m lou) 98klngsa df h)tg9-ng. The period of A is T. Pendulum A is twice as heavy asg98h- )ft lk udg)an9s pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete yr9twehw2h ) 7vibra2rt)7e hwwhy9tion increases by a factor of

  What happens to a simple pendulum's frequency if both its m2r/sbajd ++7s(d2ef7l pgfg length and mass are increa amf 72+espgdr /s bj+lf(g72dsed?

  Simple pendulum A swings back and forth at twice the frequen ny ee60r8x)1n oc(scncy of simple pendulum B. Which statement is corncre )e0 nnx 18cso(6yrect?

  If you take a given pendua(y4qph /i.ey+ti 2vm lum to the Moon, where the acceleration of gravity is le4q 2.aemvp+(h iyyti/ss than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represv7*sxi 01k8 7crhsd*8epp mjb2a /q xyents

  Curve B in Fig. 11-1 representp 3f *lqmy*y)ls

  Curve C in Fig. 11-1 reazr:3tf s 7hg4presents

  For a forced vibration, the ampli 5 kbsb1d8f( n zf;9mwvlnxz/3tude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wmq ,994tqdgrlhp ds7zg -w: l9ave from equilibrium is calt9 l 4mdrdlqg7z9q ,p:-sghw9led the wave's

  The distance between successive crests onh6)s8 t m5y ou3pv px6:ofmnht9 j.+sq a wave is called the wave's

  The number of crests of a wave passing a:j 7vlhv5a3 rg point per unit time is called the wave'srj:v3vg5ha7 l

  For a wave, the frequency times the wavelength in ccvfs 9f2)s b,q(;u;h2ffjks the wave's

  The frequency of a wave increases. What happens to the distance be))sy. zpmc67)s esu ,t moo)ictween successive crests if the s z.tmm osi),seu6 ccp7)yso ))peed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave.,3, w+ jtewfu;qurgn on the same string has wavelength 2l and travels with the same velocity. What is the frequencyet;3u fq,ww+g .nju, r of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. hdk3vu w/7769u dtq2(pnz gff A standw6fdht v2n/3kupg7ufq z(7d 9ing wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. Th :537 eb;0n dupgr dtn2azh9c:jvl8 vhe 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 lengtd9anc8uzn ge5b:7 hv32 ljph :t;rvd 0h?

  A string of mass m and length L is under tension T. The speed onfmz)rx0.u 6 cf a wave in the string is v. What will be the speed of a wave in the string if the length i.)r z6x0 cmnufs increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T.zi )daz os*wt :okyyn3e ;7t6. The speed of a wave in the string is v. What will be the speed of a waeo *otk63)t yai.:z ;yn7wsdzve in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels thro;nxz h85dhgpt k25 zv.la +k.rugh th .p van g2+5hklztr;hdk8.zx5e Earth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave trave3c7oqj wz ,f u/ ix) 6rl-*hba8qq1rxkls through the Earth, the relative motion between the P wave and the particl-)j/kiahq qfr xr6z,b8*qu 7 31wxc oles is

  The intensity of a wave2b e6zz-igzz- is

  A wave pulse traveling to the right along a thin cord reacheso/(eliwxtj , qrgf lx4,:s:(f a discontinuity where the rop/t4 ixso:gl(wj l,(:e qf,x rfe becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each :(qdo0yqawz ;u/1qcr8 6r fagother on a string, one is 1r;oz0(qa daqfc/6rq w:g 8uytraveling toward the right and the other 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 /mr: jng5a w+c,2qqdbh i,m ;sthe 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 b/wq: gq;a+mihmds 5nr,2cj,of space at the same time

  Resonance in a system, such as a string fixed at both:1tp)+mlkt1 apy2tcz)h4a o x ends, occurs when

  If one doubles the tension in a violin string,ro;p+)y s )3 hr/kufiepu,-f w the fundamental frequency of that string wilf-o)pu f/;3 h+i,ypsekruw )rl increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when4 :rd bjz u0adux3q(1lj0w8m e a mass of 0.600 kg is sus1jjm:e08 4 w0d b(qrla3zuduxpended from it?

  A mass is attached to a spring of spring cntwz 0pctzo3/u/i*1m dq 8gt1 onstant 60 N/m along a horizontal, frictiop/m1q ozg *1t 3dzitn0t8wu c/nless 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 constant 60 N/m +r8-45 5dm vhjrtl assalong 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 equilibrirj 4h5+st- sav rl5d8mum position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring)it 0y a1r) uis3gqz5v 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 takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the frequency of osc0qiig)r yv)z us3ta15 illation?

  A mass on a spring undergoes SHM. It goes through 10 co xfd-+x dn)+g 4ob15io 7winsxmplete oscillations in 5.0 s. What is the p7io+d+ b5x1xigosfnw d4)-x neriod?

  A mass vibrates back and forth from the free end of an ideal sp oqoe 9pi8 i; g/q7m.m2jy;dfpring of spring constant 20 N/m with an amplitude of 0.30 m. What is thmoji;io;q8m7/29. dpe qygpf e kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attachqh 4q+ ozp43b,k6ly5 6ekm4puxui.f ted 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 equiliumf5+6kkb6o3x4,p.q4 l yzhue4qpi tbrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. 3e8qmm g d n h:3ge,hf:2d-ezx The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitnxf, 3: q 32egh:8e-edzghdmmude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attach typf85+ijtgi4 dlqu / cb)4hq:9+skjed to a spring of spring constant 20 N/m along a horizontal, frictionless surface. T h:/ktp5j dyjqt8+gc4su)iq 4l9i+bfhe 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 cour 42o+,u3zv/q;. huacugt se -4vgglnstant 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 pvl.g3,qov;+c/tu4 ua2 gh 4rg-u zeu sosition. 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 spring constant9odu sb** c+st* fut59upt3lqi9m(yn 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total lmtt ns*u39cof9dbu5*s*q+yp t 9iu( mechanical energy of this system?

  A 2.0-kg mass is attached t vn.umi43uzz8advo2za5 /sik n b.w5:o the end of a horizontal spring of spring constant 50 N/m and set into simple harm 5va2/sd: w3n5a.mbukni4o uzvz iz8.onic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of sj,(f rb-4yt)d/8kqo .pjq:1oaa yjt kzm tq-2pring constant 20.0 N/o.:) jf-k -q rj,j 8zo(yb2t kq q1/4aadmtyptm with an amplitude 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 equilibrium po s 9o/3ca8 csan9:r8gamk5zapsition and released. A frequency of 4.0 Hz is observed. What frequmo9a 8r/ ns:ka 853gspcaca9z ency 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 object i t*o)o qw8 q+f.fy mkxv.uop28s disk+.q uy x *fvoop2to8wmqf8).placed 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 c:dpt/t npqe03 h o6pxm-t)9vp onstant 10 N/m. The object is displ t6m -v3pxtdp:t9/)o phnq 0epaced 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 se5e 4 v9r9v)vqrzg: h va+5gdzpring of spring constant 18 N/m, displaced slightly from its equilibrium positioe +rreav 9h)g4 gzz v9dvq55v:n, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequ bky ws is(/aita 3:fi,aj7m6*ency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocit36w a*m7b jifsaa:(sity i/,ky attained by the mass?

  Two masses, A and B, are attache2n7 g1r 9wurv: ow(uvid 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 c2vw: gni7r uor9u1v(wompare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mas f.;,5p6cnd o lq8w5aj+ h( bpw6xrylks 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 theynf5 w,6p x6(ah58jck;wl op ql bdr.+ period of oscillation.

  A 0.30-kg mass is suspended on a sp gc;hj(p*ck /jxgp).y3 q/v jv3ax)bmring. In equilibrium the mass stretches the spring 2.0 cm downw*mk pjcpgj;(vx/x)g)33y. / h qjav bcard. 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 spring. In e1iaedfv x vde9p56*o;quilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distan va9fidee* x o;16vd5pce of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the follgkg(2/ w5eirhowing position versus time equation: r/5 iwgkeg(2h
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus tinyr-lsf6 l0evw s,z2(me equlfy(62-zwsl, ve0s nration:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following p (a2g0:y;e)g jdxfzp uosition versus time equgxef0;g(:y) juzpd 2 aation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of 6nj4ii+:wim((cla a za spring executes simple harmonic motion acco zn(6im+ 4(waia:jli crding 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 forc,dim +ignc khn18y0 6xe 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 springnnix8 h 6m+y,cigd1k0 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 completes w0k. j1 8ivcd- q-p5iqav2ik swings in 8.0 s. (a) What are its frequency and period on Eart-5p v2 vk0sicw .1daj8- qikiqh?

  A 3.00-kg pendulum is 28.84 m long. What is its period on i1:r*7vut+rkzbkn 5x /ckq 5/-gxia 0n+jftr Earth?

  A pendulum has a period of 2.0q zzm)k h.xm38 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on twmh x2t cg:gutc8ke8( f;-bx8 he Ear tmftkb2g w8-;(guxx ec8 hc8:th?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on t wkq75p acv kfbu, t37ggz,m*0he Moon where the acc a w7*gk7 bu3m pzq,vcgfk5t,0eleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consistg+bp59 lm hfa1;vlzn* s of a 0.25-kg spherical mass 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 resulted if a 0mhn5p9af1v*lb lz +g;.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 displacement sdz8e t1j8(clof 8.0e. 8(c8lejz d ts1It oscillates 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 givei inovlgiz /8d 9e,6c7n time. The frequency of the wave is 120 Hz. What is the amplituzdov /,ei97c8i nl6g ide?

  Figure 11-2 is a "snapshot" of a wave at a givef0gc; ;5b ,jo2ynqb3pt0 hkfcyo p+;nn time. The frequency of the wave is 120 Hz. What is the waveleno3 fb;bfn yppq25ont0+;0hjg,cc; k ygth?

  Figure 11-2 is a "snapshot" of a *bx5o*usm r,pwave at a given time. The frequency of the wave is 120 Hz. p*mor, 5x*s buWhat is the wave speed?

  What is the frequency of d1gof,my+1 go4/qp ima wave which has a period of 6.00 ms?

  What is the period of a wus3hx q3w;g k,x ;d/iwave with a frequency of 1500 Hz?

  What is the wave speed if a way/x:l-im 6 bmkve has a frequency of 12 Hz and a wavelength of 3.0:bkl x /mim6y- m?

  What is the velocity of a wave that has a wavelength of 3.0sua97guqus) fh -neh2n *170 s:vccq n m and a frequency of 12 Hz: un0s*ha un7 c9vn1fsqec qu2g)h s-7?

  What is the frequency of a 2.5 m wave traveling at qrdf/f q6lh;l2pf/p2key7 i3 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tensz/zr2uk/*x rtw vik 6yg nkl/j:6f5 g0ion of 1350 N. What is the wa26tz* yr0/giwvl/kx k uf:/ gr6knzj5ve speed?

  A string of linear density 6.0 g/m is under a tension of 180 Ns (1feeo3zv9l l 8ibb;. What is the velocity of prop8evlo isfz3b l9 (be;1agation of transverse waves along the string?

A wave whose wavelength is 0.500 m is travelin) -y;*k sexeerg down a 500 m long wire whose tot)xke-yes*r; e al 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 transveref2pu q ou*vc4(,n v(hse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one ocv ,* ((u4ufnoevp2qhf the following is not a resonant frequency of this string?

  If a guitar string has a fsotn2+c yu90j undamental frequency of 500 Hz, which one of the following frequencies can set the striy9cs2 j+ntou0ng into resonant vibration?

  A stretched string is observed to have four equal segments in a standing 8):,jad xkpd lga7ccm trj04 usvnf .95h /3duwave driven at a frequency o/v9jxt8j5 drusn 7l:k)agmf cdp.0ca,4h3d uf 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at bo n h j0ygl9p-s5ry1j6u )nhcd.th ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave p0n)jrg5-jcplh n.uyd1h ys96 attern is to contain 4 loops?

  A string of linear densio -y)hmrwx;r , n3(jnr1pap)dty 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequenc-d );yawp3,n1prm(nrhx j) or y is 220 Hz?

  Find the first threee4urm 3xh :q:/6 yqis4ing(qy harmonics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subxinehu3sq (gm4qi 6y/y4 q::rjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vib: k.99yse j98x pxy0 0h ri,wv)ylekyu2bisi 6rates at a frequency of 85 Hz, a standing wave wi9ph)609yje ws0v b2k uykye.:9 8sixiyxl,i rth 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.