The time for one cycle of a -mx*nys3fhjtds .5.s periodic process is called the

  For a periodic process, the number of cycles per unit time w 7mf.a:/t)e jswirb(is called the

  For vibrational motion, the maximum displacement from the equilibriumktsin tvv, *.jj nb);+e* bee. point is calledj;vtt., *e i ebkvnn)j. b+se* the

  A mass on a spring undergoes yd+1-2/vwkklt gm7frk)ipmo * foa04SHM. When the mass is at its maximum displacement from equilibrium, its/f1 o2-)0kp fvda*gtlwyrkk4 im +mo 7 instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes throutu0pw,3h /l.-hpk nczgh the equilibrium position, its instantal/pck- z wp.utn03,h hneous velocity

  A mass on a spring undergoes SHM. rucor10 j qj3m-w9m:qemb9 1oWhen the mass is at maximum displacement from equilibrium, its instantaneous acceleratio 3mmq-1uob1w9oj9 q: cj0rr men

  A mass is attached to a vertical spring and bobs ll 7(/y z aiyqilq9yn9le(:o+up and down between points A and B. Where is the mass located when its kinetic enl(yq+in:l9 /9 (zlyqloa7eiy ergy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betwee12w*ik -q vilzgp)f 7in points A and B. Where is the mass located when -2wz7 iivq)pfgli*k1 its kinetic energy is a maximum?

  A mass is attached to a vertical spring and qttg1 fa i:wh*t.i;x yws9l)8 bobs up and down between points A and B. Where is the mass located whe ;lsw: x9.ttai *h qyfw1i)8gtn its potential energy is a minimum?

  A mass is attached to a vertical spring and bobyo ys -2jg *mp6,md-eydq:j.00xdx4iuud;xk s up and down between points A and B. i ey0mo y x4qsdd:x x0uudyd.g6k jm-p-;*j2, Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-c :m+ dvwfj; wfii.ek-jvp406and-spring system produces what effect on the system's mew.mjfd-fc wj4:+veip;v 0 i6kchanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces whe /.,ofevjt;q 9mgb: jat effect on thejf j,/gt e oe9m.;q:vb system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring systems pn, 0ss95taf produces what effectfst0a,n5p 9s s on the system's mechanical energy?

  A mass oscillates on the end of a spribzk;n5qdy35hk j9;+c a q) tsong, both on Earth and on the Moon. Where is the period the greates a) z c5d9+snk;q; hto3bqyj5kt?

  Increasing the spring constant k of a mass-and-spring system causes what rrd8yfoxd7s:( gbpf (k *i(1xkind of change in the resonant freq:d(*ripy1 gs (krxo8ff( dbx7uency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of ci4 dc+g 5quse9w6 x9cthange in the resonant frequency of the system? (Assume no change in the system's secugwq5c s46d +tx9 i9pring constant k.)

  Increasing the amplitude of a mass-and-spring system causes wh;m w6l fz,(lerat kind of change in the resonant frequency of the system? ( l(m;z r6w,fleAssume 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 weightless16 o 3 wx z2p2y.gbe nzx(e-u1zskhhn/ string of length L. For this system, when undergoing small osc61 n/z bps.e1xxhn2(hw2g zo-ye3 zku illations

  When the mass of a simple pendulum is tripled, the time require t 0drhq2xz,7id for one complete vibr,0 ridx7qth 2zation

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A e:jmd 2o8ep2 d6)cevb is twice as heavy as pendulumo: 8jemv ebde62)2pdc B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for e4fmtzdqmns8dl7 7*cu1 5 f p5one complete vibration increases bd7m *z 8mt5 fs14dfelqn57c puy a factor of

  What happens to a simpleh ,zv /ljqz)fww 6+x+s pendulum's frequency if both its length and mass are increalwfqh ,vjs6zw/ z+x )+sed?

  Simple pendulum A swings back and forth at twice the fr d4l5p3gchv0 /c1qfp sequency of simple pendulum B. Which statement is cgp1/l5 q0cpvc4fs h3dorrect?

  If you take a given pendulum to the Moon, wherxcxbyycjk 0ds g4 .j2m lf;-d j+ x8j3,-pyx:re the acceleration of gravity is less than on Earth, th l3 8-sjr4j,gxy-;yyc j: xbd0 xx2ckfdjm+.pe resonant frequency of the pendulum will

  Curve A in Fig. 11-1 re n+uhgk* vy:mxat4/p1 02gkanc1 hj7vpresents

  Curve B in Fig. 11-1 reprhud(9*)qf6 qr 4n*smmfn pmu-esents

  Curve C in Fig. 11-1p a)6)m0ro1dexpi70 yw hqkp3 represents

  For a forced vibration, the amplitude of vibration is found to depe-tx2di4p*q 5i wbgbk,oly;f( nd on the

  In a wave, the maximum displace5 u fu 8 z5d/hvb5.sos1bczb(oment of points of the wave from equilibrium is ca5vc s(1/z5.bhfbo5bod uus8 zlled the wave's

  The distance between successi,nuw03 n 8se,vw0zhk c nv51tmve crests on a wave is called the wave's

  The number of crests of a wave passing a point per untuic2iwz 9+ cs.:o)xh it time is called the wave'h9u : o2izc+cxiw)s.ts

  For a wave, the frequensykh8cw:i2rgwg;+ 2gcy times the wavelength is the wave's

  The frequency of a wave increases. Whatrz*t;eti;nj aqxlip, d: 5:+p happens to the distance between successive crests if the speed remain:d5a;:inzp qxti te *p ,;jrl+s constant?

  A wave moves on a string l0 a orul0(fc1with wavelength l and frequency f. A second wave on the same stringc (ol0ar10l fu has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a stringevx wjj*03v,f1 fo9oh of length L, mass M, and tension T. A standing wave is set up. Which of the followi1,jfv* oj evo09fwhx3ng is true?

  A string of mass m and length L is und: 0zmz tmey7p(er 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 notp:7ez0y (mmz change in length?

  A string of mass m and lhypxh 9-3kz4 tength 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 length is increased to 2L, with nohpzy-3kt4hx 9 change in mass?

  A string of mass m an 92a7cl 1iaro7h6 d7b sh2x *gjk)wq-*zaebtwd 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 ihw 2q197hrjl2a sx* dw gie bba7cz7 ok-6ta*)f the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travrrm 6 ;4o)kbe9l ups*a -yv8piels through the Earth, the relative motion between the S wave and the -mi4p )p8 o krsrey*v;au9b 6lparticles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels throu20d4vmgmtjp7 gh the Earth, vdg0mjtm p274the relative motion between the P wave and the particles is

  The intensity of a wav+y e 9 xtb9d+yyhv+-vwe is

  A wave pulse traveling to the right along a th+hgb 3, d,qeeo ;kki +cntfy**in cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation oybfti k*, ,oekn d g3+q+;*cehf the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass ez 0job6b5 q88vm3ot *t+2 irgt 2dgisuach other on a string, one is ttgsiu*82izo06 m+2vg3 o 5 r 8bbjdttqraveling 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 traveling toward the ri b) l8u.zltun-ght has a positive ampl8ul.ubzt )nl-itude, 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 asv3fsza 0ahdnn a :-y+9 a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency of th:th wy 58sw-) acfhn9tat string will increase by a factors:5y thwa t- hnc9)f8w of

  What is the spring constant of a spring that /s)wo:8vekm9l/ 2di1t4 hr7tfsui qy stretches 2.00 cm when a mass of 0.600 kg is 82m/k:y/ov l4) 7sswedftitq1riu9 hsuspended from it?

  A mass is attached to a springls0 g ln1a 2k:lgf1ys -1shd,hvxm(1l 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. Il1 skxgslh0 hmvla1:d(12fg ,lsn 1y-t 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 spring2u/(g.cj xdtlkekp2ar +d:o - 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 equilibrium position when it is oscillating. What is the period of osciclgak /2ro:t+ud 2kjd-p(xe .llation?

  A mass is attached to a spring of spring constant 60 N/m along a/.pcv:.shyoj mpu- i; horizontal, frictionless surface. The spring is initially stretched by a force h- .u:cm yp ;vosj.i/pof 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 oscillati +cd w1i:rfdsv,-1q:g 0g jbctsa*6fwons in 5.0 s. What is the periodgf jqft 0a ir gc:+1dcs sb*wvw:1d6,-?

  A mass vibrates back and forth fro(okgz w4i :pkl2vf 6*tm the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What i46tfv(: il* zkkpgo2 ws 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 con g;qwj-1f;/rutj 3ooa stant 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 eq g;1/rtq aj3ou-w; fojuilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude oaxecd8n : (ofnkz dq o6.8:n)lf 4 cm. The energy 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 thln n:kdaf oe q )zc8o6:n(d.x8e system now?

  A 0.50-kg mass is attached tos9t33ynjyb8jejk6 7c/ o(x 7wmcba - u a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object 8 /y-kcmcsjaxt73e b jwuy97j(6bo3noscillates 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 attachcny/ tbu8zr*vz-0o pri(wf+ )ed to a spring of 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 rbfurt-/0znc*pow 8 yv(z+)i the equilibrium position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to th1g1u7mfy tz5rfe h,j 4e 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 is the total mech5r f1ug 1,74tf ehzjmyanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal s+.grrfd5 nhp(pring of spring constant 50 N/m and set into simple n(rh. 5rdg+fpharmonic 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 e: f xpapkg7f2jl n58f kl5h:u.nd of an ideal spring of spring constant 20.0 N/m wit:52lf7jg8fp 5. fnluh:x pk akh an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced f:xd03xp pxf6 hzo(c5j6 glv910 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 5.0 ghj63: pdfxp0cfxo(x z6l95v cm and then released?

  A 4.0-kg object is attached to a sp+8se)pyjh g/+ ye/jzm ring of spring constant 10 N/m. The object is ehpy ys+g+)emj 8j z//displaced 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 constant 10 N/m.hehw qm-/+xi0 The object is dehmiq+x/h0-w isplaced 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 springwrv p1 +y19 fc*ngq,q5iu;yrmp7i l f; of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the +f p; qly y*mf15viq;c9 pgwr7,n1iurfrequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequencl snqlm 1; r2;wd0pgd-y of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained bydq 0pw- 1;dm;gr2lnls the mass?

  Two masses, A and B, are attached t q: 0y6h -j+iq v.okv.yqg/dkto 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 the maximum speed of A compare to th ik:6 v/qhv0-tgj+kqy yd.o.q e maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equil(bvjut4mn )q9/ :f gx) :dkoxlibrium 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 perb: ()uqg9 ):fxld/4ojmv ktnx iod of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches t8lr pxv; qg9(frz 8 r9tiv4r4bnmhy(4he spring 2.0 cm downward. The mass is then pulled an additional distance oryq9r;v8 rnm 4(4p li8t bf9(zrgvhx4f 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a j-y*-w ve gjx4spring. In equilibrium the mass stretches the sp y-e4wjjgv-x *ring 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 harmonic motion obeys the following positiod) ;jv54lkw3juvk tr.n versus time equation:v54vjr tjw.;u3l)k kd
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic-cju ob*.s 1(.lje afo motion obeys the following position versus time equatio(l*j.fb a-c oj .s1ouen:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positi goxp31e k;p;eon versus time equati o; e1xpp;kge3on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end o* 4san9d.x;sx ,b w.;c nq i1edh,kxjyf a spring executes simple harmonic motion accordinc; e n*qhxsw1;,j d,. nx9xkby as4.idg to 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 consta9pa jy+wtr1c 1lpj hey3 7d03rnt 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 3rd 9p h0awjt3l7cyrp j+ey11 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 swings in 8.0 s. (a) What are its frequency and p7)mfp 9cbb lj6eriod on Ef)jbp6 lbmc 79arth?

  A 3.00-kg pendulum is 6s(: )sy+b)y uyfkll7hj9bbq28.84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth.a+l;; ga+ qpg wq94wpv What is its length?

  The pendulum of a grandfather p/:bhq+z5 wn(2qeju: r,g pckclock is 1.0 m long. What is its period on the Earth ch2 rj,/b+gp:5q(q zuw:e kpn?

  The pendulum of a grandfather clock is 1.0 m lonakj:uqhb .tqz-( x0r 0g. What is its period on the Moon where the acce0 r(-qbj0tk:ua.qzhx leration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached tn*a7/ :udale; *tkd amo a massless string. When the mass is displaced slightly from its equilibri uadd a ;nmktl*/ea*7:um 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 has initial angular displacement of pwoxn6,c6 x, g d)jrv( 6rxcg o,v dw,)xj (np68.0e. 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 frequen )nkvb0qiip 7jn1)8 c lhgs94tcy of the wave is 120 Hz.g4bi)n 8 htlq1ns0 ik9 pj7v)c What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a gxje 4dtkg 1u7:t. c(jkw)d2mciven time. The frequency of the wave is 120 Hz. Wh2uw d jd .1cmtt(xgk7jk4 )ec:at is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a giejq3rcl/ r )x6pr5bhqw4+h o 7ven time. The frequency of the wave is 120 Hz. What is the wave speed)/ 4 q5hwojhbc7rex6 lprr+3q?

  What is the frequency oxl5)cgv,n:vlaz5 6or ipa x tdbr:*; 4f a wave which has a period of 6.00 ms?

  What is the period of a wave wit*ats59,wg 1m3-ou 8 mu guqd0e mnasw 78pvju-h a frequency of 1500 Hz?

  What is the wave speed if a wave has a freusw61yoggre j3 s 0: po toe-r9 fskvc7g1b.69quency of 12 Hz and a wavelength of 3.0 m?coo 9r1fw 7-gs1. byv 30sr :teg6uek6osgpj9

  What is the velocity of a wave that has a v4w-;0f,x cw d)eyympwavelength of 3.0 m and a frequency of 1d;4e wp-, x fwmyyv)0c2 Hz?

  What is the frequency of a 2.5 m wave trasib-y(8 p t:g9u4hqzuveling at 1400 m/s?

  A piano string of lintb -m/fuhv )w)ear mass density 0.0050 kg/m is under a tension of 1350 N. What is the wave wu)h)v/ t-fmbspeed?

  A string of linear density 6.0 g/m is under 8f9cg/v5c:n+vaeah s6g v4jua tension of 180 N. What is the velocity of propagation of transverse waves along the string hnufvavc8gs65 :4e+9g cv/aj?

A wave whose wavelength is 0.500 m is traveling dozux11ay(t2s u(j 8* kjpzn1clwn a 500 m long wire whose total masspyxs1nu8j1(la tcu *jzk ( z21 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 aidj6r:6 *je -2k cnmmgqw(0tsu.m.nt 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant fr eit- qm*nr:(dk6t.mujs m 26.jcnw0gequency of this string?

  If a guitar string has a fundamental 8)dx8z :oemtytzu:e , frequency of 500 Hz, which one of the following frequencies can set the string into resonanezt:ut :)y o,x8dez8mt vibration?

  A stretched string isxyg /e5.ze ,fe+q v1 yu:qk1wz observed to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segment:g/eqk 1 , qeuy+yvzzwe5x.f 1s?

  A string, fixed at both ends, vibrates at vb9ekqy8ax2bdwy q 9j *9ea7 9a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the stan9a2wbxe7 kjbvq9 ayd 9q98*eyding wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tenvlnnf10x5e9;qin4 urm 1g9 y msion of 20 N. What should its length be if its fu n9f1eq1lix;m9n5 mvy nr0gu 4ndamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linearq-2 bxdv*8wb im r: tcz(sq(l0 mass density 2.00 g/m and length 0.600 m when it is subdx2mtqcz w:8( b i-0l q(*vsbrjected to tension of 50.0 N.

A string of length 2.5 m is fixvbu8dj 7 +rewm*;d (wqed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops*+ e(8wq mbddu7;jwvr 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.