The time for one cycle of a periodic prjzo gqu0/8c+- n7ibi+f.p sqh ocess is called the

  For a periodic process, the number of cycles o x6hhbip 2cm -uu0d +ieua.u1zwn 67)per unit time is called the

  For vibrational motion, the maximum displacemenw*oqf28, ; )roa jduhbt from the equilibrium point is callh, j2uo*qr;8bwdof) aed the

  A mass on a spring und7klo j5qtm (,vergoes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneo ,(7o5lmqj vtkus velocity

  A mass on a spring ungth g98i1cdfvo+e ) gk- l5jn2dergoes SHM. When the mass passes through the equilibrium posit8gi+9fev2n)dt l jkgh 5co-g1ion, its instantaneous velocity

  A mass on a spring undergoes SHM1w -r .pmqcpfl sy-m2 3e+2a2gvtx,md . When the mass is at maximum displacement from equilibrium, its instant v-m x 3awc+pm y,gs221 pmq2e.t-lrdfaneous acceleration

  A mass is attached to a vertical spring and bobs k/ ze)/q tkb6t2l7-le tebxn6 up and down between points A and B. Where is the mass located when its kineti l2kl)-n/6tez7bkq te6btxe /c energy is a minimum?

  A mass is attached to a vertical sp 2c01 imysfymww2/rotkyi92: ring and bobs up and down between points A and B. Where is the mass located when its k mwfit9:wr 2/ s2yi1y2yo0kcminetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between poinnqf90; 8is vt/j z vm wx0ow/o*+f2kvr zf-4vrts A and B. Wher sz;-4 z/vw/x*+8qm fvokorvfr90jf2v0wnite is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A a.qne-w z/0rt) bqo 8z:bacr-xnd B. Where is the mass locaq)wqb8-z0 c ./ro-ate br xz:nted when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system ,pmiyonyhd j9* 34z8j produces what effect on the system's mechanical energ38nh dp9*zjiy 4myo ,jy?

  Doubling only the mass of a vibrating mas f )*9jv7infgacxz06b 0nlk8 ecrt n06s-and-spring system produces what effect on the system's mechanra0fnnlbz8x 70k eg f06n)tij 6cv*c 9ical energy?

  Doubling only the spring constant of a vibrating mass-and- z n2;eki,4ji4be4bby spring system produces what effect on t ,b4 z4ibk4;b2eejynihe system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the M 1zbc,xhy:p8 joon. Where is the hb8x, 1zjy p:cperiod the greatest?

  Increasing the spring n,,;9dx3jq zjik2xb iconstant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the sys zbd,9;jxxkj ni2,3q item's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of change 3tq 60:yd3(wy4ikjm wvh2kktin the resonant frequency of the system? (Assume no change in the system'w3qykwm4i :h v3dy62t(k0tkj s spring constant k.)

  Increasing the amplitude of a mass-and-spring systemxjm6ojz ,9oy/i80 pxm causes what kind of change in the resonant frequency of the system? (Assume no other changes in the systeyim pj / jzx0ox98m,6om.)

  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 o2ou3zwt qfh 1cc(+rw: f length L. For this system, when undergoing small oscill+o3f :h1qz rc(2tcwwu ations

  When the mass of a simple pendulum is tripled, the time required for one 7 5 1bmq.jria/wo(jiulf h:4tcompletelrij7m/q ojfa: .1 hw bti(u45 vibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pend4azvx g r83vgurh5z-m94 /z:rvtje,j ulum A is twice as heavy as penduluv8 a9u/4vgmzgrjrzj ,r:zt 453e x v-hm B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for onemkv., q;) tyrl9i w)br complete vibration iyl;),k q t9rwvir.b m)ncreases by a factor of

  What happens to a simple pendulum's frequency if both i 0trm5;mqk :)y umw1ymts length and mass are incruymm:q m mwr1 50);tkyeased?

  Simple pendulum A swings back and forth at twice the frequency of simple pendn)an1,t- talw ulum B. Which stattln1 awan- ,)tement is correct?

  If you take a given pendulum to the Moon, where the acceleration oqu66xl5yll s8eyo*ik6z 7li5z8:v gpf gravity is less than on Earth, the resonant eigz8qv5kpz8yul*llo 6 6x7y6il5: sfrequency of the pendulum will

  Curve A in Fig. 11-1 represw5,v)i7q y. szcgl3knjo q2 r.ents

  Curve B in Fig. 11-1 represenq ip lf:wox.s :s5 k-ejnj/zvo 22ey08ts

  Curve C in Fig. 11-1 represeg;7z jph8q)sozp)/ -wz- ds mpnts

  For a forced vibration, the amplitude of vibration is found to depend on th-*i; .k*e3x*nel0zon (ocfllki(v iy e

  In a wave, the maximum displac-ampj9c na v9y:.k ,jiement of points of the wave from equilibrium is called the w:i .pc m a,-99jjnvkyaave's

  The distance between successiveqv+p ;:yn8ilqcr,p0+vq3eure c6dw5 crests on a wave is called the wave's

  The number of crests of a wave passingj 078xhdo 62mwjpyf8e a point per unit time is called the wave'm0j ewo 86p8xyhjd72 fs

  For a wave, the frequency times the wavelength is the.x3wds0,d/j ijvw9 hlnt x9z22fj s+ d wave's

  The frequency of a wave increases. What happens to the distpuve2:1w:x kx b0 go2e2 ,aca:znw ;xfmot4d,ance between successive crests if the speexn24p e x0f v 1k2x;:ow2,:, guotaa:mcdwebzd remains constant?

  A wave moves on a string wiritws1;v:y(xx*z 1 rc th wavelength l and frequency f. A second wave on the same string has wavelengt*ysrcx1 1x w(itv;:rzh 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, 3xcd o(y *wv;0boetb- and tension T. A standing wave is sed 3yewv xbto -b;*0o(ct up. Which of the following is true?

  A string of mass m and length L is under tension T. The spe unrop5rr x zt uuu(dsqrx v/io:;60pya-0/61ed 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 5r/p/n yu; 1z satdurxrupx iqo 0(-: v60our6in length?

  A string of mass m and length L is under tension T. The speed of a wave in thdov d.a5h,x ah1mo( axz- 38mbe str8a1bva m-.xoz oh hx3a5( ,ddming is v. What will be the speed 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 T. The speed of a waq8 .m7her5dcg7-*oz ra1ui nmve in the string is v. What will be the speed of a wave in the string if the tension is 8 -z7 q m1in7dcehum r*r.a5ogincreased to 2T?

  In seismology, the S wave is a transverse wave. As annq7js5 +;2kzqh gic n/twl 0f; S wave travels through the Earth, the relative motion between the S wave and the particles is c+tihq nszj;gw7lq50 2nf/;k

  In seismology, the P wave is a longitudinal wave. As a P wave travels through 1l. v31d;bcow--pkf j ova: shthe Earth, the relative motion betweev ;kj1cpwla.o1ovfsb: -3 dh-n the P wave and the particles is

  The intensity of a wav 5t+(cx(x-ngz2na7oo,6f v. . tiuw ao(wfbkve is

  A wave pulse traveling to the right alow31.se+1k2gyf o ox tkng a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflectg1x+w23kkef 1 yo.osted and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other o i wspy:l,-g. bo4c6a 1iiwq.mn a string, one is traveling toward the right and the other towarb .ocy- 4i: mali,s.6pwgiwq1d 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 ri glcz v /4e6xdz/p *d0l-bjj(aght halez/d pa6dgjzjv/4-l*0 c (xbs 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 of space at the same time

  Resonance in a system, such as a string fixewe*a 830qe wzqd at both ends, occurs when

  If one doubles the tension in a violi.k + 9 acf4v fie6sz29cdi0+2ay6jgk lqvl6q yn string, the fundamental frequency of that string will increase by ql9 yqi0j64v6g+ai af kdsz29+2cyve lkf.c6a factor of

  What is the spring constant of a spring that stretches 2.00 cm when nmh,v wfp.kbl30h q73)uid (za mass of 0.600 kg is suspended froqvul h) (.mw 0fhizk,7nd3b3 pm it?

  A mass is attached t;8x)sl+ mxy p oacrc-:o a spring 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 equilic+ -rclaxmpo; )s8:x ybrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 6(e; tmj0*rvm*n x*ql y0 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 l*x e0; *m(*mtvnyjrqs 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 N/m along a hori*waio eajo7lf e)r, 2/zontal, 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 7 r/e* ofaoa,l )2iwejto go back to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM.y 7ibtjfjx;*mj7 zu.7 It goes through 10 complete oscillations in 5.0 s. What i i* t7b; 7.mujyz7jjxfs the period?

  A mass vibrates back and forth from the free l 2f*y6zjezr34ei 7 ut+mrmt.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 ma6+4mu2 7tltrr ymjefie*3 zz.ss when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizoel95 h:(owzo0n qb7es tow 28xntal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the total energy wlt8 boo25n 9 70hz:woee qsx(of the system?

  A mass undergoes SHM with amplitude of 4 cm. The hdplq(cn;s83:p r2ayenergy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy of the 28s; dy nhq:3al(pr pcsystem now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a hor8fr eg3ub7ko6po 97j cizontal, f97r og8jf3e pc7o6 kubrictionless surface. 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 conlsde 1)-g6t 1 rmf9mrsstant 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 energy the sgelf 1 6r1s)9dsmm r-tame?

  A 2.0-kg mass is attacqok n.0x- q*mhhed to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What i* xq-om.kn0 hqs the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end wv5d dza2b h,:of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with dba ,2h5w d:zvan 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 idelxduf.t wf jgv90;+ /zal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating ma9 wz+djfx. ug0 /ft;vlss?

  The mass of a mass-and-spring system is displaced 10 cm from its eb dgrz s5k+no 6/wz+k;quilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cm and then releasdnkb 6rz s/5 kw+;z+goed?

  A 4.0-kg object is attached to a spring of spring coh p;c(4if kv+ e*mibd;;:kb(q*v mcp onstant 10 N/m. The object is dim k( vm dq ebh+**pp;;b(c:;iik4ov cfsplaced 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 cbzv+ j+fgk3 (of spring constant 10 N/m. The object is displaced bbv(3kc +zj g+fy
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 u g7a6n.2qp kscr zm74ead/pj,qu0 k0/m, displaced slightly from its equilibrium position, and released. What ig0danukq am6czp2e rqp kus j7/ ,047.s the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hztz)uy2(aee8:yg y8c b when displaced a distance of 2.0 cm from equilibrium au 8ze8yc) : (gtaybye2nd released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are)78h e u6eekfl attached to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass ef6u7e l8hke) 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 speed of B?

  A 0.30-kg mass is suspende t+ iph.5d /jn1mk5w(amusen 2d on a 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 njhu5dmniks /w.+aet2p m1(5 rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass sthp,*pjfsp u-4 j8v0wdfd 9 xr9retches the spring 2.0 cm downward. The mass is then pulled an additional df*psp x rv4-d 0h9d wjp,89fujistance 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 springfhift lav 34(nhp )r24wk:h- k. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down a4if2f4kwr:)kh a v-(tp hn3lhnd released from rest. Write down its equation of motion.

  An object in simple h3vl b gz7 x8)pkj t2xs9log 9)+higb6xarmonic motion obeys the following position versus time equatilk h6g)gx+9 xsx8ov ltzi9p372 b)gbjon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple ha8 xjk)or 2cc6yrmonic motion obeys the following position versus time equ6jr28 cck) oxyation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmon5rxz-i 1v2 m9hai(nq66sie4ktl*( xesqu 8 ouic motion obeys the following position versus time equation:ustr(x2*o5liiv q hin49q(e1amzx8 6kes- u6
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simpley9y/evk 2bcx1y p:*)1igoyd ts 9h-z l harmonic motion according to th-hy)ldt9yk z/* byi1pey29xcgs :1 v oe 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 forcezsl6 0,xwzji6 constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t0ij6z,w slx6z= 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 cmu;ocfl n;- .aomplete swings in 8.0 s. (a) What are its frequency and period on Earthmo; ;u.fl-nca?

  A 3.00-kg pendulum is 28.84 m lonvfax rz9 1o.3mg. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is fj/cc(fd ;srs38 q 7zrits length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on 4or d)am-i6aathe Earm-6oaaar4 ) idth?

  The pendulum of a grandfather clock is 1.0 m long. What3p0 srfudsw-5b - qyx5 is its period on the Moon where the accelerwsx-u p-f5y q3rb0s5dation due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0t5 ytav mxc6vg355n (jbt)4wn.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 0.bj(vntc 5xnv 3y 56at w54)tgm50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting /czl::gq of)fq/.hnw 5 q3d goof a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period od qfg5w/3c : .gzf)oo:qqn/lh f 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 timp6ts fis i:;y dzhnrg,2e73c8e. The frequency of the wave is 120 Hz. What is th3cdg r,: h76tsp nyie 8fsz2i;e amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of theath; /2w +eajfw3ou( /h wo(to wave is 120 Hz. What wo( 3wofho +2/tea;w ua/(thjis the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. vy 6 vu-e1k)fdrveols 3 bd:(hcgd*p;m,v ()r The frequency of the wave is 120 Hz. What is the:dvve3yr)c( s v - 1p g of6u*hd,erklmb;d)(v wave speed?

  What is the frequency of a wave which h gx1 . omh)l i28kiz*x4wfr7zsas a period of 6.00 ms?

  What is the period of a wad1x .toib/oim**o9bdcx 4x*hve with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Ho8 dt 4z,s9;13 m0xrwax gjshcz and a wavelength of 3.0 m?rwjco3hxm0;dxsg 8a 4 1sz,t9

  What is the velocity of a wave that has a wavelength of f(0hw.cc b+ 6uv*bbdl3.0 m and a frequency of 12 Hz.dcuwb+cf 0vb*h l6( b?

  What is the frequency of a 2.5yk sfzu* hhuo97w/ d8+s 1a:ri m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is un4e k )2szcir3uder a tension of 1350 N. 24z u3ci)skre What is the wave speed?

  A string of linear density 6.0 g/m is underci+9(kgc m x;t a tension of 180 N. What is the velocity9 gt;mck+(x ci of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling99y/+l(kvg o;-bugqvrl*ru0e wb,s b down a 500 m long wire whose total mavbw ;u9usqy,v br0(k gb-l glr9oe/+*ss 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 2ccn2r1 rum-8ecvp7 n/.0-m long string fixed at both ends is 200 m/s. Which one of the follor7mv c1ucn8e2/ p-rncwing is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whichubcb( 4cou.wl x a19srgz,81t one of the following frequencies can set the string into resonant vibratiocu1.bwat4r 9sg l u(8czb,xo1n?

  A stretched string is observed to (a:+wzly (asn /t5wop have four equal segments in a standing wave driven at a frequency of 480 Hz. : w(zaw(psylo5 tna/ +What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequemul w3 s0-c,dfncy of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed ifsu3,m0 fd- cwl 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 shkuj; w1tg u q*iz-o)r8ould its length be if i 1ti uugrqjo8w;*z) k-ts fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 gtgr jpux2f:s wg7.hk7:j8* w s/m and length 0.600 m when i78 wf7*g t 2xk sw::hrgj.spujt is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates at aq x1 p r(q-*mj02lx fl3pzwmt; fr 1z0wlrp-*qx j p3m2lqx(; tmfequency 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.