The time for one cycle of a periodic process is called q 1p1jkc/d)kqbu50e:.v xg 8:qf kked the

  For a periodic process, the number dshbsw bb4 4/)of cycles per unit time is called the

  For vibrational motion, the maximum displacementvt+ ,loz 7v;x+ ktkkj9 from the equilibrium point is call ;z+79+tkvvxjl,tkok ed the

  A mass on a spring undergoes SHM. When the mass is at its mafhfvh9j, o,dy7f x fwv)r:;2wximum displacement from equili o2wjy) v: h 7v,hfff,9f;xrdwbrium, its instantaneous velocity

  A mass on a spring undergoes Sjk xww *p:bhv*0f 1/rnHM. When the mass passes through the equilibrium position, pw*v0/ 1xbjkf:r hnw*its instantaneous velocity

  A mass on a spring undergoes SHM. When th0 bek *;xg)+n kdc1auoe mass is at maximum displacement from equilibrium, its instantaneous acceleratex1gn )a c k*0;kub+doion

  A mass is attached to a vertical spring and bobs up and down betwe*+ptg+(lzbvr6gn (ws po tn+(en points A and B. Where is the mass located when its kinetic energy is a min+t (lzv 6+pw rtgo(n+gbs*p (nimum?

  A mass is attached to a vertij)/3rtjs;m w (vupkh 0 pg-:sacgm6i6cal spring and bobs up and down between points A and3gra-6hp usc;6kg/ wjt mism(:pjv)0 B. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between poil8hlziz w(h a1u x/0+ints A and B. Wherxiha zhz/u8w0l 1il+(e 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 *yi 41bi162rh mlew qfsgcx/ *A and B. Where is the mass located when itxsl41w recb2hfyi 1iq*6gm/* s potential energy is a maximum?

  Doubling only the amplitude of a vibra 0h)oyz5g/g zh3b+xr i78r lroting mass-and-spring system produces what effect on the50 hygo+brx/r8roglih 7zz 3) system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produceft z a1alb( sqrl++5j6s what effect on the system's meba+qsj+arfl 615l( tz chanical energy?

  Doubling only the spring constant oy-9ao 3bxvg p)f a vibrating mass-and-spring system produces what effect on the system's mecha3)9v xgabyp-onical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. jen9rgf ntv(lme6kd ;1wv+ +mdoki 6k)a 7;g)Where is the periodkm kdenmv i+ gf+7rl gd )t(v w6o)n19a;j;6ke the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kidsqq2qxd)/t2 .16b eza*f 5gpq awfa57 jdp) rnd of change in the resonant frej.sqqqpd5e5 )xr71dg*2b fpa aftz/qd ) wa62quency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-s8.nlt0fewl 1e-rg 6capring system causes what kind of change in the resonant frequency of the system? (Assume no change in the systemafwl0cgl 6 nre.-8 t1e's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes whatk ip8p 56cq1c kn0au;h kind of change in the resonant frequency of the system? (Assume no other chia5;qk chc 8ukn0p1p6 anges 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 t5mppl :s .5onf.dg dur8(pyar e:p+0M attached to a weightless string of length L. For this system, when8trns+: pear..uf y5gp5( dld pom:0p undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time reqik tw ,ak/v+yv9f z43puired for one complete vibak f,i4 z/p 9t+v3ykvwration

  Both pendulum A and B are 3.0 m long. The period of A is z:lbbtaflx2s70w+)e T. Pendulum A is twice as heavy as pendlz+lbtbw0xas2e :) 7fulum B. What is the period of B?

  When the length of a simple pendulum is trip(6ropd50 o6df xb817egz jxdpled, the time for one complete vibration increasesod 6xd87 fo6r0 p(jz5x p1gebd by a factor of

  What happens to a simple pendulumsrj0k+18 ts op7ywh8b 's frequency if both its length and mass are ink1pr w7 s88st+ojb 0yhcreased?

  Simple pendulum A swings back and forth at twice the f b9zx(w vc:hjx6f*y6k requency of simple pendulum B. Which statement is c z*x6b chvfjy(96k: xworrect?

  If you take a given pendulum to the Moon, w 0pq+vo(way6krx (v ljge7u 83here the acceleration of gravity is less than on Earth, the rwr(6uvypq7 k0leg(jv x 8 o+a3esonant frequency of the pendulum will

  Curve A in Fig. 11-1 rep : zp7rqrx9o;vresents

  Curve B in Fig. 11-1 reb zad2vsgl..n,8k1x /e.zuaw presents

  Curve C in Fig. 11-1 repre4p.rav uy, dxdwm6),g*g.x5sdpky 8 ksents

  For a forced vibration, the , r:3zlg3kffd ) 2jps sz1joq,nxl4z/amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from eqd 6fna gw:9vg9uilibrium is ca9angfwdg v9 6:lled the wave's

  The distance between successive crests on a wave is cal1y06r9l, fws bqyj,nbled the wave's

  The number of crests of a wave passing a point per unit time is called the w3c gx fguv av*:(n7w8nave'sxcnwg7fv:8*nau3 v(g

  For a wave, the frequency times the wavels+q aa*k-h .ljw 4 dvkan6+h(fength is the wave's

  The frequency of a wab:uq wny -8i8bve increases. What happens to the distance between successive crests if the spen- bquy8w8 b:ied remains constant?

  A wave moves on a string+w:,vtzm(noy b-p6jw with wavelength l and frequency f. A second wave on the same ymwowvpz+( tnbj-,6 :string has wavelength 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, anzja8x*y* + 4fjwil7 fnd tension T. A standing wave is sen48jaflzyj xw*f +7i *t up. Which of the following is true?

  A string of mass m and length L is under ;s zrsmpe j3o3.cv72o 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 mass of the string is increased to 2m, with no change in leng 3v2. j7zc;oeo3srps mth?

  A string of mass m and length L is under tension T. The speed of a wave iyn /skud4h(+g n the string is v. What will be the speed of a wave in the string if (ugd/4nkh+ys 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 wave in the()jc)xx pxa- k string is v. What will be the speed of a wave in the string if the tension is increased t)px)(c x ja-kxo 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through 7 rxo,:)u zfqbzmhw.qu- h)f. the Earth, the relative motion uqb7.h))q-, ho:zfw. xrzumf between the S wave and the particles is

  In seismology, the P wave is a longitudini;vm pb:e9mf 6fxwzhcb)z sl h 7*ksskg(/-)8al wave. As a P wave travels through the Earth, )k/xkbi ch(*szs:f)p 8v9f;lhz w mb6 sgme-7the relative motion between the P wave and the particles is

  The intensity of a wave isbmfmyxl sh5bgz*d6 7ro 905 h-

  A wave pulse traveling to t+e 30yrg f3jd7 jv;zvdhe right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. g f33d7;rvdzjv+yj0e What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on h;eo k,phe9r crg-6)fa string, one iskch 6ref9po ;r ge-,h) traveling 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 earhv (34 fv4mfjch other 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 (f fvjh34m4rvpoint that they occupy the same region of space at the same time

  Resonance in a system, si/zi.t p f2*0o)51p rpganygquch as a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency)z ;3d7o )ki5ftir kat of that string will increase by a factor of3okkr5 tf 7 i)i);dtaz

  What is the spring c5y3s) g1tawr/r 2au3avb 8l yoonstant of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended from it?u/ wb vyt5312oa3a )8aglry sr

  A mass is attached to a spri*f;sh nbb5 * +wcit:mgng of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a 5bnw*f+ts;g cibmh* :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 along a horb 83f38r l0me8fzgvmoizontal, 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 equilibri 8rzml8v0 8m3fobfe g3um position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 Nnrbtyo. iw )e;k-g1l) m (9jwx/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 oscillation?r nm;gelwt1yi 9xk(j) ob.- )w

  A mass on a spring undergoes SHM. It goes through 10 )):ntb jg zx6yk(enb+complete oscillations in 5.0 s. What is the perbty6)n+e)j zx(:nk bgiod?

  A mass vibrates back and forth from thl2n0hpz ac sg(1r81dza bv/m-e free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of thihc18az br1n(/-2l adsmv g0z ps vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring con3nfl:olc3,1 7 yfg patstant 20 N/m along a horizontal, friction l,p3:ofayg1ctnl 73f less 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 of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J , 3na4ycus wox/ct0;fat this time. The mass is cut in half,ac;noysc,/fxu3 tw 40 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/xn mv-m6su*q,5x7v h52*mb;xc m web tm along a horizontal, frictionless surface. The objec7tc s*v q2u x;mmxehx 6 ,n-5mb5*wbvmt 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 along a*p+katan df5gp.coyw t )9z,4 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 energyn*fzpap9 kct ay+ 4td5)gw., o the same?

  A 2.0-kg mass is attached to the end of a hoovr3g 8hmx s z/j9)fh/rizontal spring of spring constant 50 N/m and set into simple / 3)/ fz g8m9shjhvxroharmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal sprw(iudij9zq ,5k6 gkkiqb6dk/-,o ; gbing of spring constant 50 N/m and set into simple harmoni6z-6o,,i(igbkwiq;q9 kd/ ud bj5kgk c motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and f9 h3( esruijb;orth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude e ubjs9(;r h3iof 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system ixhuj v g/6h.q)(xd8bui7kr4 us displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if tg vh 6/8ux)i.7(j4rhdux kbq uhe mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a sprinv**if3n pj8lfg of spring constant 10 N/m. The object is displa 3ilvnf*p*jf8 ced 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 spp5qinb9+ imtr*b5e- eeh9 y w-ring of spring constant 10 N/m. The object is piihtwem b bne-+y 59rq59-e* displaced 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, di*- ls y0epmvx)splaced slightly from its equilibrium positioyvle-)ps0m x* n, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It osclw0c e +gj+a.fillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. Whajcaf gl.w0 ++et is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates withxeu08ds-z vbmu(t63a 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 compartb(ud0 3a8m6z uvex s-e to the maximum speed of B?

  A 0.30-kg mass is suspended on a ajn40,;/.fiwqxv*l rpoqr )x3 um ;dh:7eco f 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 releas laumh ;c/ow73x:o.p*)fjx eq 4r,r;df0iqvned from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass s1zwazz,ue 4p lxa*a6-tretches 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 total energy oaa p6w, 1zxu a-4e*zzlf the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium thl te s,vbflkh44+9sb- )kld )ze 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. Write down its equation of motion.kbs-, 9l4kz4ls+fh)ebt) d lv

  An object in simple harmonic motion obxda)tyjj :0x8 eys the following position versus time equatd:ajx )0ty8x jion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positioxylim1; c l)a7k*2egi n versus time equation;*y ea glmc) l1kii7x2:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmoahaah1*a+j. . 6j,wxiu185up xfjo ca nic motion obeys the following position versus time equ1o6.aaha xxaajfj* 8j cwhi.15p, u u+ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring execupdy ai(wd:95 jtes simple harmonic motion according todp:9wj 5 (daiy 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 constanw -*f 2g:w. ygpcewly:9hv:;wyhd uc7t 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 spring is stretchd 7w*-w9gu;cf:ew whyghlcpvy::. 2y ed 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 frequen4u q6hz4lc rmlkt6,n 1cy and period on Earth?4 46nul htrlc16mkqz,

  A 3.00-kg pendulum is 28.wjdgmuo 1 )cs2)5 4hvb84 m long. What is its period on Earth?

  A pendulum has a period of 2. rgd5acj 3qn/1 )xvbm bj0.teqdz 4-)s0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m livy:z( zsnl d.;/sd:gsg5) zm ong. What is its period on the Earthn /zgv:dmsd z :s5 zsl(yg)i;.?

  The pendulum of a grandfather clock i)a :d9x2g:ulbql(c1 u6ul cpns 1.0 m long. What is its period on the Moon where the ax9 1lpdgb l:u6u)2aul(nc q :ccceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a 6ywn.ffgw il+p5bb7vgs8*,x massless string. When the mass is displaced slightly from its equin8ywigp 6 7f*. wf+g5vlbsbx,librium 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 h,vfasd .b;9dof a 20-g mass has initial angular displacement of 8.0e. I. ,da9 ;fvdhsbt 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 given time. The fr )ttewr5cv. ,i73gu0nm6jha j equency of the wave is 120 Hz. W7tgiu n 3vj 6wacj,0htm5r .)ehat is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequencywjl1l(n )u kob873a pa5draryts8z2 9 of the wave is 120 Hz. What is7 barzyt2 walu9(lakd8nrj 8)o s135 p the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of tr60,,w fik u m z9si+hzu)5mruhe wave is 120 Hz. What is th0 r,+zz,rwsu6 hmk)mi 9i5uuf e wave speed?

  What is the frequency of a 9m fp2: sv(c9vvxux3yfqf -t/wave which has a period of 6.00 ms?

  What is the period of a wav /ot yzb2)f005-tcc 8v dsxemxe with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelengcn cef()/6 y 9vgfcz6d1xz hb.th of 3.0 mcbg/c6 hc.()1 zffv9xzyend 6?

  What is the velocity of a wave that has a wavelength.vuiui/) gfv( of 3.0 m and a frequency of u )u .iv(vg/fi12 Hz?

  What is the frequency of a 2.5 m wave travz:2hp.et/ipi eling at 1400 m/s?

  A piano string of linepr epsb tn+(g ;mj)53i0l kv,sar mass density 0.0050 kg/m is under a tension of 1350 N. What is the wave speed?it,5v+(p gb;rn 0km)jels ps3

  A string of linear density 6.0 g/m is under a tension of 180 N. What is thvuqc on24d)y8 0nehz* e velocity of propagation of transverse wave0)n*8enhq ody4 zuc2 vs along the string?

A wave whose wavelength is 0.500 m is traveling down a 50 41ey)hs69meb6w dsv u0 m long wire whose totalsd 9)syew 6e4 6bu1vhm 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 transverss w17x)yhhqe+ e 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 of this string71)w+qyxs ehh ?

  If a guitar string has a fundamental frequen-3wgxyb6a+bm j3pmc +: v8cv tcy of 500 Hz, which one of the following frequencies can set the string into resonant vibrationy3g cvjm8 wt+-m+3:cpv6xbba ?

  A stretched string is observed to have fou / cspwakzj7s1njb:,.cea/x * r equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with fi x1w sbkpa.cz/ 7,*:asj jecn/ve equal segments?

  A string, fixed at both ends, vibrath8m( muu6akdr u36-mles at a frequency of 12 Hz with a standing transmuru3m86dmlha (k- 6u verse wave pattern containing 3 loops. What 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 should its fsn( (iacaxh30 jwi5ly 2x x6.length be if its fundamental resonance y0ci6 53j2 l(fsiaaw nx.hxx( frequency is 220 Hz?

  Find the first three harmonics o4m ubve3a- .w9 q1nawch)(ba mf a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0 Nqu mewcaamav3n-4b1 .w9(bh).

A string of length 2.5 m is fixed at both end 0(nj+ ymz 6j8hjd8brts. When the string vibrates at a frequency of 85 Hz, a standingmjjh+6z ( 8d0t8jby rn 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.