The time for one cycle of a periodic process igvfh+ 2 p9;pj. c8 /vslqq+eyas called the

  For a periodic process, the number of cycles m, 7.kov zm/rb-a w6czper unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point 7weur030m9h 9yo /b 7vqx0ky: ntmcez is crv77m0kw0n/ :0 mqxzcoy 9ht eby3e9ualled the

  A mass on a spring undergoes SHM. When the mass is at its e q hzv0k8k8 nr,0-kjx97 rq 2rqbhe9gmaximum displacement from equilibrikh9nk97kb2qxz0e v8h0j qe 8r -r, rqgum, its instantaneous velocity

  A mass on a spring undergoes SHM. Whguq6w aq)ph5jlrs*li8c vz1 i506 o1cen the mass passes through the equilibrium position, its instantanw1l6 qr 6p15ihqa8v0 locuz5s*i jcg )eous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displzh0y 1(oe:l upacement from equilibrium, its instanl:h ypu(o e10ztaneous acceleration

  A mass is attached to a nj14wg8g5 k zogwn+vz*53qbk vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy4 g*oq81z55wzjgk nkgb wnv+3 is a minimum?

  A mass is attached to a ve;y xg -jojm1)grtical spring and bobs up and down between points A and B. Where is tho-x)jm y1 g;jge mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs q (fo7,:db qyabyzy-f 2 oa6p7up and down between points A and B. Where :zy, qqp6fy y2-o7( oa7 babfdis the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and 5;i q n(axao7.jhrlu lj0a4t)fv krg87d(km2 down between points A and B. Where is the mass located when its 2 f57.xr t4a)andg( 7ukv(l mi;h0 qjrol jak8potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produ xtvaz5z:jx. r )9/gcxces what effect on the system's mechanicag5z:)a tz9rjx/xxcv .l energy?

  Doubling only the mass of a vibrating mass-and-spring systeac.b ohm6tj1,)hq q sa31d x+zm produces what effect on the system's mechaj 1qt.oq,am)b31d zh6h x cs+anical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system )y .i ,fassm)uproduces what effect on the susaf.ims), )yystem's mechanical energy?

  A mass oscillates on the end of a spring, both h7hao4rw-cct:jam a f1)r k;/on Earth and on the Moon. Where is the p;h47cr c)f: roat ajm hk-a1w/eriod the greatest?

  Increasing the spring constant k of a mass-and-spring system causes s qts vm(9b5 lfju5 -4kp9i08osb il:kwhat kind of change in the resonant frequency of the system? (Assume no change in the system's mass o:8ilt sk fisus95kq0(5p4j9bl b m-vm.)

  Increasing the mass M of a mass-and-spring system causes wkqq9t vt()x,qhw pa3z*j -6mrbda /jll1*pv, hat kind of change in the resonant frequency of the system?-vllp qvqa,w/x jk6p *, zqj(bt9a 1m)3dr*ht (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind of chgpmdz yz(ts2gv.ce0+p r/ -l 2ange in the regct2 v(.-ezyr gpz/20 dms +plsonant frequency 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 consists of a mass M attached to a weightless stri4w;2ufaf ) ms0gm1itsng of length L. For this system, when undergoing small oscillatims f ;0)1g2m si4tfauwons

  When the mass of a simple pendulum is tripled, the time required for 4dxovse 3w (8 lzdydwokg 09+h5 *6cdi6u2cwf one complete vibraid4coxk9wdoe +h 6y083(5 l vsucd d*g2z fw6wtion

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is tx 33/;it9bt w olx1wrrx0 wf8awice as heavy as pendulu93arl0rob/ w t1tx 3 wix;8fxwm B. What is the period of B?

  When the length of a simple pendulum is tripled, ztg r 31a/kxt4the time for one complete vibration incar kg 3xt/1z4treases by a factor of

  What happens to a simple pendulum's frequency if b*+debmwfkkzqf / ;;q (oth its length and mass are increask; fq; k/e(*fqwb +zdmed?

  Simple pendulum A swings back and forth at twice the frexu9z*h7m ;lqja:lr2 pquency of simple pendulum B. Which statementzplxl2 m9;u har*:qj7 is correct?

  If you take a given pendulum to the Moon, where the acceleratifhf)65n /fq eo0ov73b vgqxo*on of gravity is less than on Earth, the resonant frequencoqvx o 0ff6qe5*)/n7 bfo3ghvy of the pendulum will

  Curve A in Fig. 11-1 reprekh 9fk) vap3,ysents

  Curve B in Fig. 11-1 sr()v4*ur(h4 ec/tqdaa.o e jrepresents

  Curve C in Fig. 11-1 repr73- bwoxuy6t5ln nsa;esents

  For a forced vibration, the amplitude of vipxtzqx *g :c50bration is found to depend on the

  In a wave, the maximum displacement ofb48a (sobedhys*s)2w un s:v 6 points of the wave from equilibrium is called ths 8seyv(h2 ns6ob:*db sawu4) e wave's

  The distance between successive crests on a wave is called th gjy73y/7 jyvee wave's

  The number of crests of a wave (i*rqp nm di93dmtcef3wgj* 6*n y(s: passing a point per unit time is called the wave'pf 9tge*d(nw(qmmc3 sr n 3j6:*i*i dys

  For a wave, the frequency times t6;3) rtoc0 ps+:slgj ey5s1td-awqldhe wavelength is the wave's

  The frequency of a wave increases. What happens to +n1; . feo tuqb+h)l7omg3nk pthe distance between successive crests if 3e. ;pl toqnhkgf+nm bo 1+)u7the speed remains constant?

  A wave moves on a string with wavelength l an 9 o pr ani6*3il2izg2ehi/y4wd frequency f. A second wave on the same string has wavelength 2l and travels with the same veloci2* zwoiegy 9p4al in3ih6r2/ity. What is the frequency of the second wave?

  Consider a traveling wave on a stri(gfl ((s im d ej7c*alty4pqf)3jan8 )ng of length L, mass M, and tension T. A standing wave is set u cg(efyl)((jpdin7q)*8s3tj a4al fm p. Which of the following is true?

  A string of mass m and length L ihq- ub 0fi4 u/6niuidu-(86zb)gojcus under tension T. The speed of a wave in the string is v. What will be the speed of a wave in /ifu-cz-06u6hu(u qi4 oj8 gubd b)ni the string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The g2v2 bcl 88-ere uvrpm6: uj8sspeed of a wave in the st82 p8vrcr-u:leujg82mevsb 6 ring 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 ak;jm 5. * y;4k0t bpke kkdn1b0;onfctnd length L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the tenko.e0mtyfjp cntb1;*4 k;;kkn 50 bkd sion is increased to 2T?

  In seismology, the S wave is a transverse wapi6z8 wkm+ c0eve. As an S wave travels through the Earth, the rela0im6wz+8k e pctive motion between the S wave and the particles is

  In seismology, the P wave is a longitudpf 40z. es2ge0 c 1;yzd3fnd7ylri4rtinal wave. As a P wave travels through the Earth, the relative motion between the P wave ands 03ezefp.ndy0zfrr4i t 417gc2;ydl the particles is

  The intensity of a wave opdllwn- 93 mutrg4y-29cg1nis

  A wave pulse traveling to th f4jm)1*g7jgch7j7 z cz1. gm*byt hzqe right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflecteg*qch1cgm7f7h.zgm )zj t4b*z7 j 1jyd and transmitted pulses?

  Two wave pulses with eqa5 1rovg 1mf5vual positive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region ofo511 vg varmf5 space at the same time

  Two wave pulses pass each other on a string. The one traveling toward the right4kys:ze; 4:rs) botfvl:ge e+ has aeokz: se4sbt ef);g: :+yvl4r 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 fixed at both ends, 0it0l 1kv k-8*zkop vdy:8niyoccurs when

  If one doubles the tension in a violin strin1 +p 9anqqxs4cg, the fundamental frequency of that string will increase by a+49qx1p aqnsc factor of

  What is the spring constant ofek7mx) ygnd /p 86 o+2eym/eaj5molq9 a spring that stretches 2.00 cm when a mass of 0.600 kg is suspendmy/eme+ogy px 8an6ml d2oq) e9j7 /5ked from it?

  A mass is attached to a spring of spring constant(yv*3kjt c1ya 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.yv1 *akyj3(tc 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 gi*0 ov:)x9x/ls*n,kvbj t)bbw :fmn a spring of spring constant 60 N/m along a horizontal, frictionles) xmovs/* tbvxfj:nngb*:kwbi0 ,9)l s 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 period of oscillation?

  A mass is attached to a sprin8bn )ico f;-yxg of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initiao-cnf;i 8 )yxblly 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 through 10 complete oscillations im8)zfq7mct+ tn 5.0 7z8m)f+c ttqm s. What is the period?

  A mass vibrates back and forth 4qn(ms )qvei. from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic iesqm n().v4qenergy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring o*bhfo+)0w : df crmb(cf 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 equim h*(dw fr: c0)+obbfclibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8. m-cn-wb w+o-knv8x6g(wf fs.0 J at this time. The mass is cut in half(n-x- wfg+-bvc 6sfm.w8n wo k, 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 2x ;zs6. lf*mrqwib b4a spring of spring constant 20 N/m along a horizonta.rx46s;iw*blq bm2z f l, 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 amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alpz u ,pdn.+3dukr; xv5ong 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 energ.dkz5udp, +n3x ;pvr uy the same?

  A 2.0-kg mass is attached to the end of a horizontald) i c6df0qh (8f rvkac+nl-9b spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the n crlb0hd q(cvik-+) 6af9 fd8total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spr hx * ;,dxh*omamksp*g.1x 3czing of spring constant 50 N/m and set into simple hak3*cahgox 1* p;zhmxmd,.x* srmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back*0p57vfzwve tb; 2cm4 n5 a :ttf:jops and forth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitudemn ce2w:0 5fav; tjt: 4fv7op*st b5zp of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is disp *cj)fgo3x,:).twp ,e hrdu jllaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displtj:l,f),egh*d 3 ) ojrpxucw.aced only 5.0 cm and then released?

  A 4.0-kg object is attamo+cvje) s,-d v+;hioi ;2p ocched to a spring of spring constant 10 N/m. The object is disp+ccv,- pj+o )s2; ideiovmo h;laced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached txg9y;kmtz c1 8o a spring of spring constant 10 N/m. The object is displaced 9;kz1txgmy c8 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, displaced soj *fsvg-h201pc 5cyxlightly from its equilibrium position, and released. What is chp0s1 ygc5o*-2 jvfxthe frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz whenb de13p.qka x9hn/xevd3 )d8t qpnh14 displaced a distance of 2.0 cm from equilibrium and released. Wha an9bpx 3)pvq n eqxk4dh/t1.d81deh 3t is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different 68reapyi)b/6 4gxb josprings. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrat oige)6 / p8xj6br4bayes 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 suspended on a spring. In equilibrium*kv 9/x*vop1jigvb8st(h 2b8t ( fi rp the mass stretches the spring 2.0 cmb2i*(sbjgfrip81 xv(/ ohtt v8vkp 9* 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 4f/: czei2 pbhequilibrium the mass stretches the spring 2.0 cm downward. fz/ ich :2e4pbThe 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 spr* l7huww6m q,ping. In equilibrium the mass stretches the splm,h6wu qw* 7pring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmo11n5qt8vb sdv .t0kup nic motion obeys the following position versus time equation1s5vp8q vkutd10 b.nt:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple hau36)jc kba)bx/jx 6yurmonic motion obeys the following position versus time equation)x 6 c/jykjuua6 3xbb):
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple haj t17w,- 5wk mxlmzx6qg-h3 myrmonic motion obeys the following position versus time equatiq , mwz-m6h 5wkjt7gm1xy-3l xon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring execuxx0ewyxk)l 3v:e z1o4v y:+on tes simple harmonic motion according to the equatio3 +nwyxokzv4:: eel10x ovx) yn $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to sprxeic;4 o5805lwv u jtiing with a force constant of 20.0 N/m oscillates on a horizontal, f 5 xuljve twioci;5048rictionless track. 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 swi/ 6y,p dt2nqmucs()h angs in 8.0 s. (a) What are its frequency and period on Eartc m(uhd6, 2sty n)qap/h?

  A 3.00-kg pendulum is 28.84 m long. What is;2r8 ohpnqy 2mng:v*ebp;n r1 its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is 0bph-kpcr 6h5its length?

  The pendulum of a grandfather clock is 1.0 m long. sjf0 t:tdgi 4 c*2jq0lWhat is its period on the Earth?*tdtsgjj4 : 2f i00qlc

  The pendulum of a grandfath , u8edvt/esy4er clock is 1.0 m long. What is its period on the Moon where the acceleratione v /ustdey,48 due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass a sop/ukw : ysn (1v02o-)whvsottached 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 resulte /s o(w)y1: shvn20uk ovs-wopd if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of eex w1m::h5ko a 20-g mass has initial angular displacement of 8.0e. It oscillatesw: 1mheo:xke5 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 given tim5c vj4)s6dsjqaa+ s6dgo x4n9 e. The frequency of the wave is 120 Hz. What is x549jsq 6c4 aad s6onjsv)+gd the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a givent+mrzo *qp5, n54w idm time. The frequency of the wave is 120 Hz. What is the wavelennrmo+5,p*mt 4wqid5zgth?

  Figure 11-2 is a "snapshot" 5 ou5k)gi 7ovcof a wave at a given time. The frequency of the wave is 120 Hz. What uvk7o 5ogi5 c)is the wave speed?

  What is the frequency of a wave which has a period w 1nq aevm9b5q41x;c lof 6.00 ms?

  What is the period of a wave with a frequenw5m(u slgk r.l /:2ukdcy of 1500 Hz?

  What is the wave speed if a wave has a v1 )di3ujkfb wyi5:p*gqm5rsi:3,a p frequency of 12 Hz and a wavelength of 3.0 m? u 5gif i*ky )3:r5v:bm1jw, appidsq3

  What is the velocity of a wave that has a wavelength of 3.0 r 3r1v .8ktn7vw1tgd bm and a frequency of 12 Hv1twkdt .bvn7rg831r z?

  What is the frequency of a 2.5 m wave c r55g7weyy+ ;43;llzptknw jtraveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is0t1c( kyjk/f3v (x j;b t)oqv j:kz+fm under a tension of 1350 N. What is the wave speef)+ c;/:t3j(mkq( kzjtb kovxj y1v0fd?

  A string of linear density 6.0 g/m is under a tension of 180 N. What q7rw wtha*c6hl;fw+8is the velocity of propagation of transq*wh+ ;crw lf7wat8 h6verse waves along the string?

A wave whose wavelength is 0.500 m is6plhto9nfe l5-p2m5vp 9lg6 b traveling down a 500 m long wire whose total mahn-v26m6gfp 5p5tl 9l lbpoe9ss 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 2.0-m long si/-:apu)(gasg czl+v+) gka e tring fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of thisgu/cgk+( :) z )ea+vs pglaia- string?

  If a guitar string has a fundamental frequency of 500 Hz, which o4ve8 jm 0; vcj,kr2ncvne of the following frequencies can set the string into r;v4n,cjkc ev8 mj2v0resonant vibration?

  A stretched string is observed to have fo)ib -dw9c xv1vur equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with 1 v 9c)-xbdvwifive equal segments?

  A string, fixed at both endq;n0r/nkwt 6ds, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to d;qt/knn 6r0wcontain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. Whd9i; g/nx+ k dmif7q4jat should its length be if its fundamental resoidj 4x/nqg97;d km+if nance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass dens9pv/7w g78-k mnqxb yeity 2.00 g/m and length 0.600 m when it is subjected to tension of 597y- b/x8ng emqkp7wv0.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibra5p guv7h a;u6h*(gtvg tes at a frequency of 85 Hz, a standing wave with five loops is fo*75ut(p; uvhgah g6gvrmed.
(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.