The time for one cycle of a periodic process is ca7p rjc9w k7p,ghngc246x9k xjlled the

  For a periodic process, the number o7 k; fab/,4jqpqr2e;z ipr1 chv5cw.sf cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium pvy lx3hqq;:d ,oint is called3 qydvl;:xh, q the

  A mass on a spring underg ;xp/yz swv4*mv d4yg*ex1e;does SHM. When the mass is at its maximum displacement from equilibrium, itzdp v*x 44emd x;;1gw/ *eysvys instantaneous velocity

  A mass on a spring undergoes SHM. When the mass pa2zh9bbe ewj+bxh(0- zsses through the equilibrium posi-j2bb0x+(bwhzeh ze9tion, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacemen+h2 wps4q3lk)bb 2zu ft from equilibrium, its instantaneous acu)3bp2 bh2f+4k wqslzceleration

  A mass is attached to a vertical spring and bobs up and down between points tt,q9 59kuu ,6fbbrug A and B. Where is the massr 5fk,tt g9b ,uu69ubq located when its kinetic energy is a minimum?

  A mass is attached to a vertical 5+23n5xsyal/x ms mjz spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maximum?nlmyx2+zsx3ams5 5/ j

  A mass is attached to a vertical spring and bobs up and do oe(qwd6 z5q1yi7z;r qwn between points A and B. Where is the mass located when its potential ene61yzq ir(5zqowq;d7 ergy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points 4 f0z h5u --kzbru7xjhA and B. 0b- zjzu -f4 7hxhkur5 Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of az3hh7a jv;k jz06 iyi. vibrating mass-and-spring system produces what effeji;.zv y3h a 0izh67kjct on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system prod*):d)xp 0ygvp0or 3qcu t.syluces what effect on the system's meco))ygu0vp l x:.qrspc 3dy *t0hanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring s; rb mnvk:yk(-7/ qwyddsngnuz 224( jystem produces what effect on the system's mechanicnd m 2kzvy :bn74jsdk -nqy/wgr(u( 2;al energy?

  A mass oscillates on the end of a spring,zmz+l4,ipor 2f-r l lej5m/ h/ both on Earth and on the Moon. Where ij 5, +rlplez2m-ioh/ l/fr 4mzs the period the greatest?

  Increasing the spring constant k of a mass-and-spri8wi b()btvg21h (qdacng system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's m1igb( a2qtd( 8hbc wv)ass m.)

  Increasing the mass M of a mass-and-spring system causes wh 3x5/ 8lh ;rdla(vjtrmd+-yahat kind of change in the resonant frequency of the system? (As 5r tml+d( xhy3/dvh ara8l;j-sume no change in the system's spring constant k.)

  Increasing the amplitude of a mass * n9vkad7z2fx-and-spring system causes what kind of change in the resonant frequency of thn2k zx7v fa9*de 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 attachxvypd4)-j2 oh*gif k;ed to a weightless string of length L. For this system, when undergoing small osc-2dk )hj ofgxiyv4 ;*pillations

  When the mass of a simp9 cxsqv3 i:oe 9/ry,ndle pendulum is tripled, the time required for one complet9,3qncdvo /yix s:r 9ee vibration

  Both pendulum A and B are 3.0 m long. The period of A is T.ltzt wm-gyawik0hxu/-58-z 4 Pendulum A is twice as heavy as pendulum B. What is the period of iw8-z 4t yl/-m5w-zug xtkah0B?

  When the length of a simple 2jkb).ih*f:4ptg+m z r2a wt bpendulum is tripled, the time for one complete vibration incrh+zr ktb2 gb:ja.tpwm)f4 *i 2eases by a factor of

  What happens to a simple pendulum's frequency if both )2oukm,,tx )yp wuv0l its length and mass are incrmlokt2,u u)x,)v 0ywpeased?

  Simple pendulum A swings back and forth at twice the frequency of simple rgq;-(fg0gv,d,m1 sf(m )jxm 8yfufapendulum B. Which statey;(,1,fjugfdf -xr)mg0msf ( amg 8vq ment is correct?

  If you take a given pendulum to the Moon, where the acceleration of graing3p/j9 b w,(aikgly0s)d 1t vity is less than on Earth, the resonant frequency of the pi0 k,3w/1)yltbgp(ns 9 ig jadendulum will

  Curve A in Fig. 11-1 represeg22j62oknw2lf1z b vvnts

  Curve B in Fig. 11-1 representwx x )ov:ncr0u.nt2t4c zn sx0cb8+, qs

  Curve C in Fig. 11-1a 2o ul5bc8fs; represents

  For a forced vibration, the amplitude of vibration is found tofaet d ldz;ady33 p:td3k2jv +t2 1.cw depend on the

  In a wave, the maximum displacement of points of the b8(lb-b wj *vx cm2wz8;3hpq csu-xw.wave from equilibrium is called the*wb zq-s (blw.mxhcpv88ujb x-c w; 32 wave's

  The distance between successive crd ,e,vtcgn5vw+ m ncix83fp9+ests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is callcmu l.-/n/gsqz,r0 pued the wave'supz ,cg0u -.smr/l/q n

  For a wave, the frequency times the wavelength is thkwq )u5r6 b j7ea79gomwf(1g2dlm +hm e wave's

  The frequency of a wave increases.w-p3 dob 5qey5r3k go0 What happens to the distance between successive crests if 5b30ow pgd35q-y rk oethe speed remains constant?

  A wave moves on a string with wavelength l and frequenc *)qxn/otjfvrg+3 ex6y f. A second wave on the same string has wavelength 2l and travels with the same/f* )o jt+6x3rexqvng velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, af+m7 ar-ojaoljd71 7+b znawa3:fbz; nd tension T. A standing wave is set up. Which of thmoazz+db- a;aj al:f31bnjo+77wr 7f e following is true?

  A string of mass m and lenkn9 8gc4skqt 4+ls(u t9all m4gth 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 kt4sl9u ag98sq+ lct4 nm(4k lthe mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tensio o:i -rja e1k:c+sx/yrn T. The speed of a wave in the string is v. What will be the speed of a wave in the string if th1-srcrixa/o :j yek: +e length is increased to 2L, with no change in mass?

  A string of mass m and lenueh o6e y7m2u-gth L is under tension T. The speed of a wave in the string is v. Wh2e7yuho 6u-meat will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wavef be+zdj.-8s/k d((bc qh,djo is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave an bs dh ,eo8/jzd.c+((d-bqkfjd the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travmd s9 t7dv4jqxubvr ba ;:,:q(els through the Earth, the relative motion between the P wave and the part9djvq bmr ::at(d4s ,xqbu; 7vicles is

  The intensity of a waveklhb22 hya8kb+i-9ez h,dhl7 is

  A wave pulse traveling to the right along a thin cord reaches a discontinui3ujuy+- v sh,,7pd o(v2cjg8cujfgfu; im8b* ty where the rope becomes thicker and heavier. What is the orientation of the reflbju*7fp-sju(c2+ugofh8 m3 ;cvygi,8, u jvd ected and transmitted pulses?

  Two wave pulses with equal cj7 9ccnb/nvr23 3erg:.w panpositive amplitudes pass each other on a string, one is traveling toward 3ngr2 n 9.p:cnbr cec a3w7vj/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 x xw fp67p2h9btraveling toward the right has a positive amplitude, while the one traveling toward the left has an equal am7x6pfp29 b hxwplitude 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 wh* w85cup0pqquen

  If one doubles the tension in a utwi91g6 g3grw8 eobx..s- jeviolin string, the fundamental frequency of that string will jw.ob -g.6i 1g w xusre9et3g8increase by a factor of

  What is the spring constant of a spring that stretches 2.0-+pz;ej 4 k2(uwkxl ca0 cm when a mass of 0.600 wz;+-x lu( pk4c ke2jakg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along e;ivwar4. et.lcn)) na 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 w)erlc.i wn4e;tn )v.ahen it is oscillating. What is the amplitude?

  A mass is attached to a spring of soc)(j5ekg p8vpring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a forco( 8gkjvcpe5)e 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 spring snw2n9ml 5 0,0aimdeq: 9mmnw 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 9 amn0es5w2mln, n0 m:mwdqi9. 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 oscillations3qibx, wh.f85l8 lu8 rxu lnm* in 5.0 sxi*u.q3f lu 8 85x,m wb8nhllr. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring fwnqbc2ac59zco-h ,l+wkz 22 constant 20 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 equilibr+9wf5c2cqbal2kzn c2 oh,-wzium position?

  A 0.50-kg mass is attached to a spring of spring c0; yp ej*xlz,jonstant 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 equilibrium position. Whatlpz0*, jj ;exy is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm.si,212 ppbb xw The energy is 8.0 J at this time. The mass is cut b p bx,i1s22wpin half, 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 bw s b88.(8*m mewrc fz)q;acxN/m along a horizontal, frictionless surface. The object oscillates in s;e .bzqf8wrwbc ca (8m*sx8m )imple 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 constagzj),/pzpfc).r i sd9nt 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic mo)j/ zfsrpd,pc)g.i z9tion and has a speed of 1.5 m/s 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 sprinuws9-mk m45kx/ol7f w g of spring constant 50 N/m and set into simple harmonic motion with an amplit-/9ul5km w4fksom w x7ude 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: dyv)fm;rlbf-admzr*8 ;) f s 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)dz:am*rd-)ff;sr m;bf ly8 v mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of sprnbfy3c) *u; tding constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrati dyb*c;t fu3)nng mass?

  The mass of a mass-and-spring system is displaced 10 cm from its(rwxx f5n, 1o4 ;qicc(-mp moj4khaf+ 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 cm and theo(no( xmc;4w,j1f 4 r-p5q axhfim+kcn released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. z v( 2t6 *yas fgg4y6:q5ncgbsThe object is digby 2qz456ysa:(6*cntsfg g vsplaced 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. The object rc( zpva3y- 8hgede z)d(ys (1is displaced by ca3dyps -r8y 1(eezgzh(()vd
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, disp: e:ndj b,8pcxlaced slightly from its equilibrium position, and released. What is the frequency of its vib cbnpx e:d:8,jration?

  A mass is attached to a spring. It oscillates at a frequen c64wmsfk; f(ecy of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What iecwsf6k(f ;m4s the maximum velocity attained by the mass?

  Two masses, A and B, are attach 5 +cyr.p5riwxig;klg,v5:z ced to different springs. Mass A vibrates with amplkg;5cic zir5:rw .v5 l,p+x ygitude 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 speed of B?

  A 0.30-kg mass is suspended on a spring. In equiliq4zc8 kn 2az-5s5fx*g4 ct tjibrium the mass stretches the spring 2.0 cm downward. The massfc i4js -qxc2gaz5n t8t*5k4z 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 equilibrium t8tmhyf(ch80hh wfy,4l;h 3w c he mass stretches the spring 2.0 cm downward. The mh hhl 8y3cm0 8,tw fw4fyc;h(hass 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 spring. In equilibrium the mass stretches th8dmf1 jsr /k,fy9fe/re spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from resfr ,r1/j8 my9/ kffsedt. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus ti;s8a7 v es;iejme equatiose7a; vejs8i; n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion o7;weu to +fc/n0x 5ngabeys the following position versus time equat+n 57ew0 /gxf ontcau;ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the drb o)4 qyr)fk)h8wwif9ag w 15e9q6v following position versus time equ9qbv 48)w g6 9frk1hiew5qo rfyaw)d )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 executes s+f; +jsm mtt,aimple harmonic motion according to the equationjm;,s++ t amtf $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring by)1j 7pk9fy w6v fb/swith a force constant of 20.0 N/m oscillates on a horizontal, frictionless tr6wkbfb vyp7)/ jf9y1 sack. 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 swings in 8.0 s. (a) What a ttvh-+rz6uz12 m. higre its frequency and period -z .v g6+ut hhtirm21zon Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earth?: /zfuchi-3 o( mom/xuv;p(lm

  A pendulum has a period of 2.0 s on Earth. What is its leh3 :6) up0qjq,pywyppm;4j o zgie7d) ngth?

  The pendulum of a grandfather clock is 1.0 m long o av ;-y/kx3rw5kw4cg. What is its period on the Earth?w v- 4o3w kyrcka;5/gx

  The pendulum of a grandf gs0aoewjek3 fh7-8 y3ather clock is 1.0 m long. What is its period on the Moon where the acceleration due to gravity jfhyag30swe- keo37 8is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a7; gqdmn8qouqr5xf8 /e ,vehin: fj81 massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequency of 2x; 8 voq1 7: ,nhneird eg5fqf/8u8qmj.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 h merj ud7mg4;e:3ah1zas initial angular displacement of 8.0e. It osci3 azde:1uhm7emgr ;j 4llates 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 atrn,-p d ;0h.,k ym nj +set (h,nftqwt5lo58xu a given time. The frequency of the wave is 120 Hz. What is th, h+8y;r 0-tkm,,.s wofx(5p nujtnqnl5tdehe amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given tidr ,+vjc 6q*ijme. The frequency of the wave is 120 Hz. Whcq,* rdvij6j +at is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. T g0l blb0(m7zc5ewr:v he frequency of the wave is 120 Hz.r0b5 mbc : 07zlv(wegl What is the wave speed?

  What is the frequency of xvmt wcypm;kh.fe10gv2p : 51a wave which has a period of 6.00 ms?

  What is the period of a wave with 87o wj vio. gpomiixjg /9;;8jeh1r:ma frequency of 1500 Hz?

  What is the wave speed if a wavecx,mr b*h7l/ih 6 ish4 has a frequency of 12 Hz and a wavelength of 3.0cr* lm6i/7,bhxh4his m?

  What is the velocity of4p, hfk y;*efi4zen s0 a wave that has a wavelength of 3.0 m and a frequency of 4fe ze n,0f;iys 4kp*h12 Hz?

  What is the frequency of a 2.5 m wave travelin r.1bd0rpu+ prhdwg)gu -6 7qog at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 N.+w k6-t, 3e6x xssq64yiue howw8o: bt Wh6to:o4wusxiwyqt b6w- se6h3 x 8, +keat is the wave speed?

  A string of linear density 6.0 g/m is undef;k* y( **ky kpkx0my4ixc jna2y8i*hr a tension of 180 N. What is the velocitj0yiyky hy(fkk4 p;**x 2* 8ixaknmc*y of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wirvmst):dn,b6 iwo :8kfe whose total mass : )o,ftbv6 k8nm:dsw iis
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 propagatiojk78o807 mp d moh:miwn of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following imomw78dpo07kh: i8m j s not a resonant frequency of this string?

  If a guitar string has a fundamental+xds8 jaxy cz1eg3 675pj nska9vx8 8f frequency of 500 Hz, which one of the following frequencies can set the string into resonant vibratix7akpn 89ejz3+y8 fj s65xvadc8g1s x on?

  A stretched string is obsead1ssrtk+ 0h8rved 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 8dsth ra+0 k1swith five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standiwenvx 88:q)pd d r4)btng transverse wave pattern containing 3 loops. deb8:)t)xr p8v qwnd4 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 tens bum 7/ajmu0ui;5+e2 w:mfouhion of 20 N. What should its length be if its fundamental resonanc:w5mfuhao/u2mei7 0 ;+ jub ume frequency is 220 Hz?

  Find the first three harmonics of a stg81h3 mfalk-gring of linear mass density 2.00 g/m and length 0.600 m when it is subjected 1lgh8g kam -3fto tension of 50.0 N.

A string of length 2.5 m is fwsj+.7hdm81 f9 xvg; mkub5pvixed at both ends. When the string vibrates at a freqd8 g f1k 7vp9wsum+mbjv;. x5huency of 85 Hz, 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.