elementary mechanics and thermodynamics solutions manual - j. norbury

《elementary mechanics and thermodynamics solutions manual - j. norbury》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、SOLUTIONSMANUALforelementarymechanics&thermodynamicsProfessorJohnW.NorburyPhysicsDepartmentUniversityofWisconsin-MilwaukeeP.O.Box413Milwaukee,WI53201November20,20002Contents1MOTIONALONGASTRAIGHTLINE52VECTORS153MOTIONIN2&3DIMENSIONS194FORCE&MOTION-I355FORCE&MOTION-II376KINETICENER

2、GY&WORK517POTENTIALENERGY&CONSERVATIONOFENERGY538SYSTEMSOFPARTICLES579COLLISIONS6110ROTATION6511ROLLING,TORQUE&ANGULARMOMENTUM7512OSCILLATIONS7713WAVES-I8514WAVES-II8715TEMPERATURE,HEAT&1STLAWOFTHERMODY-NAMICS9316KINETICTHEORYOFGASES9934CONTENTS17ReviewofCalculus103Chapter1MOTION

3、ALONGASTRAIGHTLINE56CHAPTER1.MOTIONALONGASTRAIGHTLINE1.Thefollowingfunctionsgivethepositionasafunctionoftime:i)x=Aii)x=Btiii)x=Ct2iv)x=Dcos!tv)x=Esin!twhereA;B;C;D;E;!areconstants.A)WhataretheunitsforA;B;C;D;E;!?B)Writedownthevelocityandaccelerationequationsasafunctionoftime.Indi

4、cateforwhatfunctionstheaccelerationisconstant.C)Sketchgraphsofx;v;aasafunctionoftime.SOLUTIONA)Xisalwaysinm.ThuswemusthaveAinm;Binmsec¡1,Cinmsec¡2.!tisalwaysanangle,µisradiusandcosµandsinµhavenounits.Thus!mustbesec¡1orradianssec¡1.DandEmustbem.B)v=dxanda=dv.Thusdtdti)v=0ii)v=Biii

5、)v=Ctiv)v=¡!Dsin!tv)v=!Ecos!tandnoticethattheunitsweworkedoutinpartA)areallconsistentwithvhavingunitsofm¢sec¡1.Similarlyi)a=0ii)a=0iii)a=Civ)a=¡!2Dcos!tv)a=¡!2Esin!t7C)i)ii)iii)xxxtttvvvtttaaattt8CHAPTER1.MOTIONALONGASTRAIGHTLINEiv)v)110.50.5x0x0-0.5-0.5-1-101234560123456tt110.50

6、.5v0v0-0.5-0.5-1-101234560123456tt110.50.5a0a0-0.5-0.5-1-101234560123456tt92.The¯guresbelowshowposition-timegraphs.Sketchthecorrespond-ingvelocity-timeandacceleration-timegraphs.xxxtttSOLUTIONThevelocity-timeandacceleration-timegraphsare:vvvtttaaattt10CHAPTER1.MOTIONALONGASTRAIGH

7、TLINE3.IfyoudropanobjectfromaheightHabovetheground,workoutaformulaforthespeedwithwhichtheobjecthitstheground.SOLUTIONv2=v2+2a(y¡y)00Intheverticaldirectionwehave:v0=0,a=¡g,y0=H,y=0.Thusv2=0¡2g(0¡H)=2gHp)v=2gH114.Acaristravellingatconstantspeedv1andpassesasecondcarmovingatspeedv2.T

8、heinstantitpasses,thedriverofthesecondca