The time for one cycle of a periodic ,68ftmt sav .hprocess is called the

  For a periodic process, the number of cycles per+ iu(lqq1tk 4j unit time is called the

  For vibrational motion, theysd(.tqs./ uqyn9.drdde w-5 nra-e4du // ns maximum displacement from the equilibrium point is ca d/9ssrun.r5q.ne w dd/ y-(d .es-/dny 4uqtalled the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacementgmz8o;rit;r8bcwxh t/ i,* c4 from equilibrium, its instantan4o8x t8,czwt;h g/mi;i rbcr *eous velocity

  A mass on a spring undergoes SHM. When the mass passes through thead8dw yuxr,m(:, s0ud equilibrium position, its,sddrm uy: 8da( 0wux, instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displa.dnl s z++ pa /e47dwfvq(erd3,s7n zacement from equilibrium, its instantaneous accel (dz+ . l+pdna3,s/ardefw7 z4s7nvqe eration

  A mass is attached to a ve0m;t ;z5 vnmlmp+f qo4rtical spring and bobs up and down between points A and B. Where is the maszo5 n04m qpmvf;l+t ;ms located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A ayr- 4 tlij4tg; zmmkzt(f3v3 6w92cyv pkz2i6nd B. Where is the l6tp 2 y4 g94-t(6m j;ktzyz2 cr33vwvzfimi kmass located when its kinetic energy is a maximum?

  A mass is attached to a vertilj*k0gboh+ckj7v 2 br5t7h-pcal spring and bobs up and down between points A and B. Where is the mass located when its potential energy is0 +ojk2b5 hph -7rt*cl7 kjbvg a minimum?

  A mass is attached to a verticalh0mc6v coog5 :e vd(ypqa9- n: spring and bobs up and down between points A and B. Where is the mass 0 e (:-ma5nd:9yv vp6chq gocolocated when its potential energy is a maximum?

  Doubling only the amplitude of a vibra:xoxf 9fl7z6hteb :*x ting mass-and-spring system produces what effect on xz96o xt:e*:fx fb hl7the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what ef 9:( /*bbnhpbmyr6a8caf jkx3fect on thehj pnrcy8a3 xk 6(fm9b /bb*:a system's mechanical energy?

  Doubling only the spring constant oza+u z;aqf e56lk zbr /pi0q:0f a vibrating mass-and-spring system produces what effect on the system's mech 0ar: qf/zq5+le a;0p6izzukbanical energy?

  A mass oscillates on the end of a spring, bo5r8h:g yvz9 x9bqler+5hab. ath on Earth and on the Moon. Where is the :z 5ba +r9g8vbqeh5h. a9rxlyperiod the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kinnfso u(7sudj vwf0(6 -d of change in the re-(0 f(ssd jow fun7vu6sonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kindkdr/o 78ojl7o of change in the resonant frequency of the system? (Assume no change in the system's spring constan o8or 7lj7/kdot k.)

  Increasing the amplitude of a mass-and-spring syp jj/a7ksb;+ *oj4cj3rh fs6ustem causes what kind of change in the resonant frequency of the system? (Assume no ot;hos7 r4/au3j 6cjjbs*k f+jpher 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 weightlesssvbh h7c a0s ;fumx43bwqtxc )c(:p9/ string of length L. For this system, when undergoing small oscillatio3qcwv xcma7 h p/(s h94scbuxtb;0f ):ns

  When the mass of a simple phqy*-j7n g k/vh q*ss2endulum is tripled, the time required for one complete vibration*nqhkg 7hy2/ s-jq s*v

  Both pendulum A and B are 3.0 m long. Th;+obbme h 8pj fb:qo67e period of A is T. Pendulum A is twice as heavy as pe: 8oebfpbho;j7m6 bq+ndulum B. What is the period of B?

  When the length of a simple pendulum is tripled 73 r7r m0hdzrl*(jslovb9nz 0, the time for one complete vibration increases by a fa dbvrs(7moznlr7r9h 0z*lj03ctor of

  What happens to a simple pendulum's frequency if both its length and mas4 f4 zb9jxb-zki) ey;ks are incrb xfe;z 4y4b-z ik9k)jeased?

  Simple pendulum A swings back and forth at twice the frequency5s u c7ibg/ep- of simple pendulum B. Which statement isgb-ip/ 5s ceu7 correct?

  If you take a given pendulum to the Moon,1a4 e r)r fhdvf;b7it4 where the acceleration of gravity is less than7vaf4bte) 4h fd i;rr1 on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represe mocco p+-g-i1nts

  Curve B in Fig. 11-1yfeyf.p46y qn3kx4d0xt m0.e represents

  Curve C in Fig. 11-1 iuu ,v6m1ock(xy4k+ d/. bvwmrepresents

  For a forced vibration, the amplitude of vibration is found to depend on tkc2.d-7az*03sh5m mtjbjs dche

  In a wave, the maximum displacement of points of the wav /ybhi7edb6n6 e from equilibrium is calley/6d7b h i6ebnd the wave's

  The distance between successive crests on a wax)su,k-ieds- vq1, kd5koic ,ve is called the wave's

  The number of crests of a wave passing a point perzt4;k(gf7-hsk qy, tjz- .lv z unit time is called the wave' t,7ks-(.jl4zz tk ;vyh-qg fzs

  For a wave, the frequency times the wav 0ocr7p.,iwv schy2 ix) ,zloz:z+xx 6elength is the wave's

  The frequency of a wave increases. What happens to the distance betwdod 4fc1f zh dh*u)6n x+n*tq+een successive crests if the speed remain*cz qu dx+ t*hhfdf)6o +4nnd1s constant?

  A wave moves on a string with -cj dut:(*bifuxi0+;urk3 v j wavelength l and frequency f. A second wave on the same siufrk j-b:*c0t +d ;iuuv3 xj(tring has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling waveuja 7n .8pm:r:ygk i; (89oevlnne)wr on a string of length L, mass M, and tension T. A standing wave is seg9u ;(na: 8r:nmi nl vyee7jk8o.wrp )t up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave i; ldtdtgj3-3z nfa 4j-h:-ob qn the stri- 4q:hb-3agd jtn- dtlo; f3zjng 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 length?

  A string of mass m and length L is under tension T. The spee,y2)esls )a 5 dt(stehd of a wave in the string is v. What will be the s ttse,) s)5yedlha (2speed 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 /wfp lr37f-ji T. The speed of a wave in the s iw -frlfjp73/tring is v. What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an b pt nckhqv phq04t-.v)wpa,s/u )*w3S wave travels through the -p.p wuh/) 0s3 cvqbqnk4* tpa),v whtEarth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave trave67x25:q ;s *xfsix i9h teoicjyb3: uhls through the Earttiy hcu ij;7 e5:x*qbi3x hos6s9 2:fxh, the relative motion between the P wave and the particles is

  The intensity of a wave is.rdon.2l sug +

  A wave pulse traveling to the right along a thin cord reaches8 lf(c 3i w/dmx14xm+3w6qqomk9 ssts a discontinuity where the rope becomes+86 ot3dxmfcs xw(3s19q4q s/imwlmk thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pa6so(g7hjhgahxjlpik); v9 -q1lf*m - di1y f,ss each other on a string, one is travel1hdf-xq g-1g ja6s)j yo*ikfpi7l9;,m(v hl hing 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 traveb q1s.;ax9)x lqln,styccfgd)r+ved:xc ** 0ling toward the 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 ocq 1tsc *v)g+q 0xdxad):*xcsb 9cefyrnll ;.,cupy the same region of space at the same time

  Resonance in a system, such as a string fixed atr( r4lz 6ig 0j:rcmko, both ends, occurs when

  If one doubles the tension in a violin string, th8 k9 7so1jzulb(vtf0 xe fundamental frequency of that string will increase by a kzxls8fb(tu9jov 107 factor of

  What is the spring constant /kg8*gyh ywi,i4 5dozof a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended g8 iw5kioy4h/yzg *d,from it?

  A mass is attached to a spring of spring constap4 ;:zuxjhk)x8 ol;rcq) +peant 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 0.5 ;xoj ) cxl;rp+upkzeq4h8:a) 0 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 horizontal, frh/ev( 4z0njad ictionless 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?( d4jzh0/avn e

  A mass is attached to qmw 1gg5z:. mp.orn br,)kp. ha spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force ,knmzq.p1:rrp.. hwm 5 g)ogbof 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 un6;f8n(8blcn(mag uh udergoes SHM. It goes through 10 complete oscillations in 5.0 s. What is the h 6;a((u fglnunmb8c8period?

  A mass vibrates back and forth fr bot 0+ekg(fn)nxk0e(kw e7p (om the free end of an ideal spring of spring constant 20 (0 w+ t7kxnf0ge (ekepn)bok( N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass 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/mn ;c5 1j1vdxrr6 p;flu 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. Wha v1d61 fpxc r;rljun;5t is the total energy of the system?

  A mass undergoes SHM with amplitudeklhr 7 hour6 r5z8m*v; of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system i5u87 ;lhzh*krrr mv 6os again set in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is atta* hv.o*9b.v. qkkikag ched to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates ikoqa i.hv* *.v.gb9 kkn 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 consta saos+8n p 0byd4*,sqzq3xb:u nt 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s3ysop 8b*:qx aubsn,+z d0sq 4 at the equilibrium position. 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 spmps 2p51l.aap(*s nwf ring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total1fpa (mp 5pw. na2ss*l mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal sp *o 0hxao .4g; ut/0o(w tp8*moeeeugpring of spring constant 50 N/m anoux0eeto m4a eht( /;p.o* gowg0pu8*d set into simple harmonic 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 spr7 n ( tsgu+jdh:gx ;b5*kwut1sing constant 20.0 N/m with an ampliugx:dnut+ ;7 jg*(whtss5b1 ktude 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 equ 94 vt/kefjtuebc0- o6ilibrium position and released. A frequenc9k 4v/tj6e0e u-of bcty of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is atvqa :9pvn..ectached to a spring of spring constant 10 N/m. The object is dcq : .apvv.en9isplaced 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 spriyz+o9(4ab5 pnvjpr 8e4bpicnt3 5d e8oldc,.ng constant 10 N/m. The object is displaced n9bybodi. pt4oven(ar8 cd5 p5 epz8 c4, l+j3by
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 8mfv,wbye6 / 3a vatvx8ad+m1 18 N/m, displaced slightly from its equilibrium position,ab md,vfv8txav/ m18eya+w36 and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz when di -gdr,q5bp1ik6o1q slsplaced a distance of 2.0 cm from equilip so5q1-6qr,bd lik1gbrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, asourt*4,yucmd dsl2o 147t l+ y9o0 bxre attached 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 t+u bs 9rlx2octtmoy l07 du44yso*d, 1he maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on pjcd1n 57 6vxir.fyey)f e87fa 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 rest. Calculate the pe6y7pid n e51ef .v fx)r8yjcf7riod of oscillation.

  A 0.30-kg mass is suspended on x*ai*t12tngww:p w,op,j s1 9k nu.h ia spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is th jn.p* p ghn2*uait,i:9xso1ww,tk 1 wen 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 equin1 g c0lnzg,d:librium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional dist g0zd ln,n:1gcance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following postf66 )vop9 xnaition versus time equation6 tp 9ox)fn6va:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmo)yu7*w e j rmveun/6a1nic motion obeys the following position versus time equatv uajm*6nw1y r/)eue7ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position veyohn,8 s7 i+xk8,dq plrsus time equat 8,ho+ns 7lyq8, pdkxiion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to thefki mr6,gsh,7 free end of a spring executes simple harmonic motion according to tr, ksh,m7gf6 ihe 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 constant of 20.0 N/m oscillateph z0dkv3k3q 5ub2f xku5/1(yzbz 7my s on a horizontal, frib2pkq(vuxm0 5 zfh7y3bdk3z1 y/ku5zctionless 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 sw yb d*;ext/e pqw)4ut:ings in 8.0 s. (a) What are its frequency and perx/q u*by:eptew;d)t4 iod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its periokn(5,ug8bm g1gw (c ord on Earth?

  A pendulum has a period of 2.0 s onn61vdr 4t:-1m nfl 9w ganhl:j Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on t 19zd(aij1lw-(i vl j)ilvt. uhe Eartl1-j((vil1iv.z9 dati)wu jl h?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the u9u 1 1wg5yy0f;as3 rvv (hocfMoon wher1 ar;h9o(c35f1u0yv fys vgwue the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached toyk5 abx;(tpe; 23uhzd 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 resulteddzahy b 5;u ;kext2(3p 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 has initial angular displace j c4y:7(nq9hus,.xw*f gsdi7 q.g7ss7 mbteement of 8.0e. It oscidqq.s.wix7e , t9u se(h*7g yn7s4j sf 7mg:cbllates 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.bs 2uz.(lpbb:ii ,x l- The frequency of the wave is 120 Hz. What is the amplitubusl.2b( -pi,ilx b:zde?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wakx+(t1. kqp)ixf. qtde;e 30aey/s heve is 120 Hz.eqdxh iq.;+ tx 1) /ka e3s.tpf(k0yee What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a giv vonb+b 3h-(pxen time. The frequency of the wave is 120 Hz.(bvho-3 nxb+p What is the wave speed?

  What is the frequency of a wave which has a period okky 0.c1rsgd a/53g3lbcrr d5f 6.00 ms?

  What is the period of a wave w .g1c *jdox.opith a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a;vto u ph;-ok+ wavelength of 3.0 o- h;k+ut;vop m?

  What is the velocity of a waffa6m;26 y8nvtb8wo xve that has a wavelength of 3.0 m and a frequency of nv 8fo62t fay8bm6;xw12 Hz?

  What is the frequency of a 2jo 0uw/5 n 3nu.wda1f+3slgmu.5 m wave traveling at 1400 m/s?

  A piano string of linear mass x re)v.( .tjxndensity 0.0050 kg/m is under a tension of 1350 N. What is the wavjxnev) .(x tr.e speed?

  A string of linear density 6.0 g/m is under a tension of0yv j6ag7f/.3 0zgmepmj6scu 180 N. What is the velocity of propagation of0gu mjaj. pm7s 03ezv6gfc/6y transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wo kcek89o/ wf7ire whose totalfeko78cw / 9ko 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 transverse wave on a 2.0-m lo5(a +nx)jv b+)czattze b7ua8ng string fixed at bea b5zt (7tu8axzn)++) a jvcboth ends is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of th nl7r8s 8py a8lgcebuol*gfc-.eq d 3/3t7/hte following frequencies can set lp3oe 7-ut7g*de y8gt/l3 8laqfcc/bh rs.n 8the string into resonant vibration?

  A stretched string is observed to have four equal segmen8yv8f wsr48dmts in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments 8m8 rdysv48wf?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz 5 e,(zcao a 8abqk;dc,5lv4tm with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave p; cl5(, cba,oma8zktvadq5 4eattern is to contain 4 loops?

  A string of linear den(6lm,s 1j. iyy+no+vbjmhri y iab9 99sity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequenio+y9rim y. ,j1n9s6yhl bavi+mj9(bcy is 220 Hz?

  Find the first three har7ad.b(0c a+blfpgl +r monics of a string of linear mass density 2.00 g/m and length 0+.g bdac7p(la b+frl0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at smmi;fx- ) x5hboth ends. When the string vibrates at a frequency of 85 )fh;ixmx5 -smHz, 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.