大物上复习重点

)(),(),(),(tattrtrvΔ12rrr−=Δ!v=d!rdt=dsdt!!22ddddtrta==v∫+=ttrr00dv!v=!v0+adt0t!tωddθ=22ddddttωθβ==ωr=vr!a!=dvdt!!=r!!!an=vd!!dt=v2r!n0,0)1(≠≠ntaav—0,0)2(=≠ntaav—0,0)3(≠=ntaav—0,0)4(==ntaav—eraaaa+=u+=ravv!F=i!!Fi=d(m!v)dtdtFldF⋅1.2.3.∫=21dtttFIPPtFPPttΔ==∫∫2121dd!F=0!p=!pii!=mii!!vi=1.3.4.A=dA=!F!d!rAB2.Aii!=0E=Ek+EP=Aii!=(Ek2+Ep2)(Ek1+Ep1)=E2!E1A=12mv22!12mv12=Ek2!Ek10d=⋅∫rFF=!(Ep!x!i+!Ep!y!j+!Ep!z!k)M=J!=Jddt∑=2iirmJFrMO×=⊥×=FrMZJ.1.:2iirmJi∑=∫=mrJd2(1)(2)(3)2.()()2121mlJ=231mlJ=2mRJ=221mRJ=3.2mdJJc+=1.3.4.tMd⋅2.LJJtMttzΔ=−=∫1221dωω==Δ=JωLMz001.2.A=Md!!1!2!A=12J!22!12J!12vmrprLO×=×=ωωzZJmrL==2                                            M=J!F=maMd!!=12J2212J12F!d!r!=12mv22!12mv12Mzdtt1t2!=J!2J!1!Fdtt1t2!=m!v2!m!v1()1.2.3.!E=mMCV,m(T2T1)Q=mMCx(T2!T1)A=pdVV1V2!Q=!E+A!!!!ΔE!W!Q!!C!!V=!!0!!P=!!!!!T=!!0!!dQ=0!!0!0!)(12TTCMmm,V−)(12TTCMmm,V−VPΔ=TP=TVTRMmΔ12VVlnRTMm21PPlnRTMm!!)(12TTCMmm,V−)(12TTCMmm,P−12VVlnRTMm21PPlnRTMm!RiCm,V2=RiRCCmVmp22,,+=+=∞3γ1γ21-γ1γCTPCTVCPV===−−)(12TTCMmm,V−γ1VPVP1122−−ΔTCMmV,m−!=PV121QQ−=η121TT−=η212QQQw−=212TTTw−=0≥ΔS12p=23n!k,p=F/S.RTMmpV=p=nkT!k=12µv2=32kT..1.3i52.2/kTkTi2=ε3RTiMmE2=m/Mmol1vdd1NNf=Tvvvd)(dfNN=:vvvd+→vvd)(dNfN=vvvd+→vvvvd)(21fNN∫=Δ21vv→vvvvd)(21∫=ΔfNN21vv→1.pv2.2v3.vpvppd()0df==vvvv0()df∞=∫vvvvdNN=∫vv220()df∞=∫vvvv2Tmv)(vfopvpvT1T2T2T1,,,vp,.m1m2mvppvv)(vfopvm2m11.Z=2!d2vn2.!=vZ=12!d2n=kT2!d2P1.u2.u!E!E3.!e=!E!d!SS!!=qi!!00=⋅∫lldE4.ua=!E!d!la0)grad()(ukzujyuixuE−=∂∂+∂∂+∂∂−=1.!E=q4!0r2!r0∑∫==⋅niiSqSE101dε∑=iEE!E=!grad(u)2.ua=14!0dqr!ua=!E!d!la01.2.!E=14!0Qr2!r02/3220)(4RxqxE+=πε3.)1(22020RxxE+−=εσ4.)cos(cos4210θθπελ−=rEx)sin(sin4120θθπελ−=rEy5.6.0,20==yxErEπελ02εσ=E7.!E=q4!0r3!r8.!E=q4!0R3!r(r!R)!E=q4!0r3!r(rR)#$$%$$E=!2#0r9.1.2.u=q4!01ruP=q4!0x2+R23.u=!20(x2+R2!x)4.uP=!2#0lnr0r5.u=q4!0Rr!Ru=q4!0rrR12,2)1),,.0/εσ=E—1.2.3.0=E!E!d!SS=qi#!00=⋅∫lldEdS0εABRRlln20πε)11/(4210RR−πεABRR12RR1—1C2CAB3CnCUUUUUUUBAn=−====32124nqqqqQ+++=3213nCCCCC+++=321nnCCCCqqqq::::::::321221=—!1C2C3CnCABnqqqqQ=====321234nBAUUUUUUU++++=−=321nnCCCCUUUU1::1:1:1::::321321=nCCCCC11111321++++=rEEEEε00'=+=0000,''εσεσ==EE!D=!!E=!0!r!E0σ=D!D!d!SS!=qi,#1.22212121DDEEweεε===∫∫==VVVEVwWd21d2eeε2.3.2221212CUQUCQW===1-∫×=30d4rrlIBπµ2304rrvqB×=πµ02IBrµπ=2022322()RIBRxµ=+02IBRµ=0BnIµ=0120(coscos)4IBrµθθπ=−04IBrµπ=120d=⋅∫SSB—∑∫=⋅ilIldB0µ—3∑∫=⋅ilIldH123Bqf×=vBlIFFll×==∫∫dd!M=NI!S!!B=N!pm!!B1-23∫∫×==30d4drrlIBBπµ∑∫=⋅ilIldB0µ1.tΦidd−=ε2.ldBvldEababki⋅×=⋅=∫∫)(ε3.∫∫⋅−=⋅=SlkiStBlEddddε1.LILΦ=dtdILdtdL−=Φ−=ε2.M212121IIMΦ=Φ=dtdIM121−=εdtdIM212−=ε122212121HBHBwmµµ===2dVBdVWVvmm⋅==∫∫µω2213221LIWm=4.BHDEwm2121+=sdtDdtdΙSed⋅∂∂=Φ=∫tDjd∂∂=1.2.4.3.HHBrµµµ==0!D!d!SS!=qi,#!D=!!E=!0!r!E!Ek!d!lL!=#d$mdt=#d!Bdt!d!SS0d=⋅∫SSB!H!dlL#=Ii,+#$!D$tS!d!s  Ø :Ø Ø ;Ø   Ø Ø Ø Ø   Ø   Ø   Ø   ,    Ø ,    Ø ,  Ø ,  Ø ,      Ø   Ø   Ø   Ø ,  Ø ,,  Ø   Ø   Ø   Ø     Ø   Ø   Ø   Ø   Ø   Ø     Ø   Ø :,,  V  Ø :  ,    Ø ;      EØ ,  Ø ,,  Ø ,  Ø   ,  Ø     Ø     Ø     Ø     ,    ,  Ø ,      Ø   Ø   Ø   Ø