The time for one cycle of a periodic process ishb5 )/oyinm, evnya(w/fu a 93m- 1opq ldb38j called the

  For a periodic process, the number of cycles per unit time is ch 5cnrqog0 re 8+nq)x**-n9biuc2 qstalled the

  For vibrational motion, the maximum displacement from the equilibrium point is cq -q ;usprau2g,;peu5 a)uf4 walled the, wq ue)p4;qugf;r25-supaua

  A mass on a spring undergoes SHM. When the mass is at its maximum displacementoc f(m(ktsz)5 /,lq0cbcuf3l from equilibrium, its instantan(osbk 3mtfc(c, 5qfl0/u cz)leous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibr;*ksx9lf z:3 mw soy+hium position, slfomw +zx ;:*y9khs3its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum9r4*tc zl oar7ga/ x0m displacement from equig ox9a0rz *ralc/t4m7librium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between poga+2xn+zsn0i qaet30(dz x f1ints A and B. Where is the mass located when its kinetic energy is a 1x+(2z0qa+dgz3t0nsx n f eia minimum?

  A mass is attached to a vertical spring mua8w174e,gmslxkxkq9 f 9;vand bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maximux9xus l wmk48fekm aq17;g9v,m?

  A mass is attached to2 rdc oc (wjd6+og34ml a vertical spring and bobs up and down between points A and B. Whe+wgj(ro2o4m c6d3lc dre 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 point01 h)tcnlm(iln4wa7u;ndf-jr8 nt c u * fd+.os A and B. Wta dh u jflod-cu.+n)4m;80 nfcltwinn*7(r1here is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces wha i ;a)bony;ufwc7pn cz-:/k 1at effect bc 1;-:n7zp ia)wofncu/ya k ;on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system pks,t6jl*gf hc +c 3c c*95ii nuz-iir/roduces what effect on h f5z9 cnrcsiuc i c-/i6t3lj**,g+ki the system's mechanical energy?

  Doubling only the spring constad:*nc bp ux(;f..tzsh nt of a vibrating mass-and-spring system produces wxh .(t ;:b psfd.z*ucnhat effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Wher4 my*(; yvcal 6zxym+f7m ne5se is the period thxc*z a7e(y ms5vn;y4y6l+mmfe greatest?

  Increasing the spring constant k of a mass-and-spring system causellzk)w;w 4;0j lgn gb:s what kind of change in the resonant frequency of the system? (Assume no cha l :lggwn0; k4wb)z;jlnge in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind u. jffu.(wadz.x)h 3pf (tbo8 of change in the resonant frequency of the system? (Assume no change in the syst ufbfuw x8t zd(3ph(.fja.o). em's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes whab8e pq4k :t-71ky j:xwwgej 2mt kind of change in the resonant frequwg-8exw2qbyj4kjmtke p 1: 7: ency 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 attachedj -nikx*c2 axm 42wh1rurly ger(;; k, to a weightless string of length L. For this system, when undergoing small oscil;2kykmx2igrxn (* ,; erwc -h41larujlations

  When the mass of a simple pendulum is tripled, the time required for one complelja /*g l0 :g:zldv3.qi vhwx6tgvgq ixdl .*hva :6/llj3z:0w e vibration

  Both pendulum A and B are 3.0 m long. The period oxl6b7ixo5w; 3c -f4is va qh9if A is T. Pendulum A is twice as heavy as pendulum B.xw76-i9ol f baqvs35i c hxi;4 What is the period of B?

  When the length of a simple pendulum is tripled, the time for one comple y-m (os/)ebydte vibration increas(d oe-bymy)s/ es by a factor of

  What happens to a simple pendulum's frequency if both its length and mass arcf9vp5z ,imdez*rfr*cg k4-/hizr01e increasedf,p*1zi ichez50z rc*rk-r/mv d94 g f?

  Simple pendulum A swings back and forth at twj 6aco;)+6vopivt0y y4jpx* pice the frequency of simple pendulum B. Which statement is corxjpv j6 0*p)+i ty6aooycv;4prect?

  If you take a given pendulum to the Moon,t plx3z8l8t)a where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum willtalz3p 8 l)8tx

  Curve A in Fig. 11-1 repcel2vq 85jq a*resents

  Curve B in Fig. 11-1 repvt3i ev ruh668resents

  Curve C in Fig. 11-1 repnordn)i)s h:f:c,k)b 8ps av(resents

  For a forced vibration, the amplitudehmho.d/n* m:g of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from equili u+ 6ce(xcph grh fqbpz.ptl+ :bcb) t+7ba12.brium is called the b 7p bu)b tcr2 +q(l:+th+.gh 6bpecfx.a1zpcwave's

  The distance between successive crests on a waveyj2p2r dk.cb c5,h-zn is called the wave's

  The number of crests of a wave passing a point per unit time is called the wavel e+b jifzc .zxy,g,(('s,il jbzyf xg+(.ze(c,

  For a wave, the frequqio ;hnzuk-t4gk ,/r*ency times the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance between,sf9a rm1f0x3 3hbzg v) qcv3q successigc, q 39hs)v1b3z3 favqmxfr0ve crests if the speed remains constant?

  A wave moves on a string1.mprqtn py qi32 -gy*)py jo2 with wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is 2g2-pyq)jpop3i1.nyrqyt *mthe frequency of the second wave?

  Consider a traveling x/f(;m8ycdu 8ck azue*qc-r: wave on a string of length L, mass M, and tension T. A standing wave is set up. Which of the follow8cqm(u yax zk u;/f*-8crcde:ing is true?

  A string of mass m and length L is under tension T.fsk n3y3p.d8j tr; a*e The speed of a wave in the string is v. What will be the speed of a wavdrjfek.t3ysap8*3 ; ne in 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 t)bzhjx*:mh9 x0d + bhpension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with no c+zmhjph9:bbh ) *d xx0hange in mass?

  A string of mass m and length L is under tension T. The speed of a wave in5z ry2i8y*ml0 :ywbs 7m-ufkv the string is v. What will be the speed of a wave in the string if the tension is increased to 2Tykmybfr- z7w v 502s8u*m:iyl?

  In seismology, the S wave is a transverse wave. As an S wave t4qwdr)avlv2jb3) 2k eravels through the Earth, the relative motioq2v kr3djwv2a)4ble )n between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels throuo1y yv9z q/s:p1i-ivbgh the Earth, the 1 9-ovsip/ :ybzyv1i qrelative motion between the P wave and the particles is

  The intensity of a wave iar 3rhmj8 )1gxs

  A wave pulse traveling to the right along a thin cori*oxsl b1 e;2y+zguvxq3 a5g7ls9znr* pdc4:d reaches a discontinuity where the rope becomes thicker and heavier. What is the orientao g:4esza2y*3 l sp+;1gn ix clv9* z7u5qrdxbtion of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes +r7 r-/affykfpass each other on a string, one is traveling toward the right and the other toward the left. A ffryf+r 7-k/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 uki a03,z6mtxey 8(ru3 vzg7ithe right has a positive a ,au rt 0i6zk3e8im(v3g7yxuzmplitude, 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, occurs;lc. hl2xpw j3 when

  If one doubles the tension in a viole-imd 15e9e( tov;b;0 zvvc wdin string, the fundamental frequency of that string will increase by a factor ;d bc1 dovt5zvewe-v;9e0(m iof

  What is the spring constant of a spring tha0 wh9q6d otyeynr0w0b 1vq88at stretches 2.00 cm when a mass of 0.600 kg is suhwr0 ya 0qeo6bw908 yvtd1n8qspended from it?

  A mass is attached to a spring of spring con )nhiw3wx+wd8stant 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 )d+8wwih3 xwngo back to its equilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spr xw*.siyz q(g9ing 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 goy(g s*x9izwq . 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 ldn*e0, ;uk+ fus::fjm/ kjoqalong 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 oke* /: m:dk f;fjsl0n,uuqj+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 os:oe5kmk 8*h p oe,e7*jpym ,xdcillations in 5.0 s. What is the period*p dm,:jo 8p5 ,he*xo kkm7yee?

  A mass vibrates back and forth from the free end of an ideal spring of spring py;ym kbvkd c3xa+7,5constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this v,p 3 xkm ay7c;y5+bvkdibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to 6ej e: ;d6wo)agc9 +lwp7qmr +x8a mtva spring of spring constant 20 N/m along a horizonta twr9e8+)v;oxpj67m m:aqlwad6 e g+ cl, 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 of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at thih56t6s6wut hos 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 u56tthwso6h6 the system now?

  A 0.50-kg mass is at( t yzhy0;s4tjxl5c7l n(iu*htached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motiuzjx7t i tl5yy;c s*(hnl0( h4on 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 ai9er u1. h a8-5smpiuq horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium positi.hmpi9i1ue- u5r s8 aqon. 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 constant+gu smhhb(4*knvxn;d t6 x9h7 50 N/m and set ksh+6n*hx4 x9bng md (ut;hv7 into simple harmonic 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 spring o6litiox h.343lul5 eof spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 4lo i65 li.3luxote3hm. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal sprin72spv 5sfbb y-g of spring constant 20.0 N/m with an amplitude of 0.250 m. What is thefsyp2b7-s bv 5 maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring sysvw xkj:g;o;/ ztem is displaced 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 displaced only xv;w ;kgo:jz/5.0 cm and then released?

  A 4.0-kg object is attached to a spring oknb,o :b.*hfyf spring constant 10 N/m. The object is din .,f:yb*ko bhsplaced 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 con.4fwost ,tc06 y5ke+j y1h evmstant 10 N/m. The object ifkoe1+t 6cytes, 4h0myjw v5.s 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 18lz)o3.d 2-s mjl3 kjbtx6htbkm 6+vd3 N/m, displaced slightly from its equilibrium position, and released. Whatbtbmxdvj36dm6) 3l+.kl kzo -s2 h3j t is the frequency of its vibration?

  A mass is attached to a spring. Itew4v /hp vxr-- x2rhd r61b4gq oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the rx2gbv-v/4er4 hdh 6 rwq1xp-maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibratzn6vwn.2 ,9dnk*oy rf g 2f-goes 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 compare to the maximum sodvn y.gk-frf w2*zn 2, go6n9peed of B?

  A 0.30-kg mass is suspe 5 02otyj(yjmdieo k.6nded on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of k.20idj 6jy5ym oe (to1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibriumc/j9 d) h6a t:vxp.zvj dubo23 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 rest. Calculate the total energyd9cpuj hb/av)3. x2jz6 :vod t of the system.

  A 0.30-kg mass is suspended on a spring. In equili(w p9 n88idqa t+.u 2- e+xqbglypmef7brium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 8q.pd(f+ m7pln9 e2+bg w-ax8 tqyuie 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus ti kfeh/47eq o ri2gsi(+* mi8hxme equationr khf/78+iose 2mxq eg i4h*i(:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position m z.x0 3pe )ig3wclt:aversus time equation:i :lcx3.ept3 )mwg az0
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position vers ,o10n .9b6+pv jsqqjy oi.bpbus time equation:0 p. so6 qbjjp91qbyni +.v,bo
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple hk xhy+hb -,fhf wl92q(armonic motion according to theyq fx-b+f9 (kwh,hl h2 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 d ;sh/vqb l6)s91p:8akbyc gt 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 stretched by 10.00 cm) c8ps/1;:wbvq6hyd kga l 9sb.)
(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 comp c zaxgd0u n+t3. vr7bg(q:pq4lete swings in 8.0 s. (a) What are its frequency and period on Earth? bvqr(3:q7 .ta dgn+0 czgp4ux

  A 3.00-kg pendulum is 28.84 m long. What isgx ouqc m)ln6k47,+ cw its period on Earth?

  A pendulum has a period 7 l e. /b .-x)tnhsiszxq.obiaz6vg6a39li 9zof 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clockd ubnh9s 83:xu,diph( is 1.0 m long. What is its period on the Eart,p 9 his:ud3n uxb8(hdh?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on ee0 ds0s 3u tkgk-6tm xvzy49+the Moon where the acceleration duest yu zk-90vekxgse06 t43d m+ to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists o*cv*g 7 hh(6bdl qbg(,s6ohwyf a 0.25-kg spherical mass attached to a massless string. Whh,cw q**((hysb ghvb6do6g 7len 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 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has7efs2hc k3 us-*ugk(o;fvh +w initial angular displacement of 8 *7s;hug voh+wcfk(u3se k- f2.0e. It 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 fq*b9al 0f 4ny,vdw gp30ks3um requency of the wave is 120 Hz. What is the amplitnlqv0ms393 b kwdf4*g0 yu,apude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The 1)3 lr1u c+pg)5b tskpzz6tknsi8a1wfrequency of the wave i13ia1g 8c 5+tnsb rs)uk6)1 kwzlppt zs 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenbl js8 uz ed 1w/:k2itc+wf .ro/mqc(-cy of the wave is 120 Hz. What is tho -bd1zc(kw rwtj/sm .:q/2e8+ cluife wave speed?

  What is the frequency of a wave which has a pe c:z2 omk3ltrus4 euidhd854 8riod of 6.00 ms?

  What is the period ofsjhv*0nlv.j/tucydi0u 8:u 8x- ove , a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 H;l4 29o(qg uc1eqjqhaz and a wavelength of 3.0a;u1 jcq9h2 lqg 4eqo( m?

  What is the velocity of a wave3 k5i vx2yc,3fexrw sl8* (4x cuuys1b that has a wavelength of 3.0 m and a frequency of 12 Hsuyxv 8y1x( cl5f 2rcwk *3ui4,sxb3ez?

  What is the frequency of a ija95pyv2ncgs 22cr0u6 l5ij 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tevs -gu3qfo-cia-/b m*jm iv 1d :*g4xwnsion of 1350 N. Whatg:v *cf1o ad/-u 3*ix --b4vmsmj qgiw is the wave speed?

  A string of linear density x dwnk -l7bcw-b 9dm*-6.0 g/m is under a tension of 180 N. What is the velocity of propagaml b-w9- d-7w*cbdnkxtion of transverse waves along the string?

A wave whose wavelength is 0.500 m is 4n +pgamv.yxb739ad k traveling down a 500 m long wire whose total mass 7nb+ kygdpx4m9a3.a v 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 string fixed jb-i7ux yqwspq 00)fm3 7o9i wat both ends is 200 m/s. Which one of the follo0fxq)io9is 7uq pb37-mw 0jwywing is not a resonant frequency of this string?

  If a guitar string has a fundamental f8*vsl4hs nw(trequency of 500 Hz, which one of the following frequencies can set ths 4tv w(lh*s8ne string into resonant vibration?

  A stretched string is observed to have four equal segments in a standing wave albg /*,9 e d6c+i0mupmoqm: cpw2py* driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five epmywcc9gp 2bm*0+emli/q:d6 u ,*poaqual segments?

  A string, fixed at both endol,q; 1h3pigz2 pous70ic b 0k y2kcs6s, 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 con ;2iq3oklykpb,1h2u gz7c6cs 0 ois 0ptain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What shoulgat1nlv 2r 3qk ;l(m;dd its length be if its fundamental resonanceml; alvtk1r2(3 q ;ndg frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass de t;4wdsfp5qh 0nsity 2.00 g/m and length 0.600 m when it is subj; 54s0pw fqthdected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string 0m ayg 8 tr.lc8bm9q9g(zm-su vibrates at a frequency of 85 Hz, a standingtz c8rbg0 ls-8m.9m myqgau(9 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.