S.-Thornton-J.-Marion--errata

ErrataforClassical Dynamics, 5"editionbyThomton andMarion First printing: Corrections asofMay24,2006 p.19 FirstiteminEquation (1.39)should be(WA)=not(uA')= . p.25 FirstlineafterEquation (1.66). Itshould read...isthepermutation symbol (or Levi-Civita density) andhas... That is,move theleftparenthesis. p.26 Page26,Equation 1.70should read: (ABsin@)' =C}+?+C}=|Cf=C?. That istheabsolute value sign must bemoved. p.34 Theminussignattheendofthe first equation onthepage should beremoved. Itshould appear as...=ge, p.35 Second lineincaption forFigure 1-18should read: ...has anangular velocity. about thataxis. That is,remove the=vxr. p.61 Thelastsentence above Equation (2.24) should read: Then C;=In vo,and p.63 Thesecond lineofthecaption forFigure 2-6should read: ...initial speeds |¥g]astheyapproach theterminal velocity. p.64—TherighthandsideofEquation (2.35)shouldbe a4 -{we+E—yeesino)Thatis,the#termshouldbe¢* p.65 Thefirstlineofthesecond fullparagraph should read: Tofindthemaximum. predicted height, weneed tocalculate yforthe... p.72 Equation (2.67) should be m,X, =m,g-T . . aE P.81‘Thelefthandsideoftheequation shouldhavepreplaced by©. p86 Topmost equation should bex,=,notx?=onfarleftside. p.97 Problem 2.47, first lineafter equation. Itshould have ..-where Up=1Janda=2m... That is,change @toa. aisitalic, 1 p.117 The equation number (3.43) ontheright hand side above (3.48) should be deleted. p.120 Second line after Equation (3.63). Should read...Noresonanceoccursif B>o,/V2. Thatis, change 2toV2. p.125 Second equation inExample 3.5. ChangeLtoRin3places.Equationshould be V_=RI=ra=Rq(editor:dotshouldbelower) it p.126 Last linebefore Section 3.8hasatypo inthevalue ofwy. Itshould be oy=Vi/LC-R?/2E° p.198-99 InEquations (5.48),(5.49),and(5.50)the#ontheleftsideofthe equation should bebold #,notitalic. Leave thesuperscripts and subscripts as they are. p.199 First lineoftextunderneath Figure 5-10. The #should bebold #,notitalic. Thefirst equation underneath thisshould have abold r,notanitalic r.Itshould be eae,i,iaMi, mM, Note that theprimes arenotquite placed properly inthisequation. Seethetext. Thedotsoverthevariables donotquitelookcorrecthereorinanyofthe other equations typed here either. p.200 Second lineafter Equation (5.53): Change Dtod.Now reads as... similarly atpoint dthesame magnitude, butthe .. p.209 The label inFigure 6-2should bechanged from . y@x=asinx to y(a,x)=x+asinx p.255 Equation (7.101). Thesubscripts ongandqinthedenominator shouldbei, notj. p.267 Equation (7.165) should be VaR ERO? p.294 Equation aboveEquation (8.28):thelasttermshouldbeanot4That ur ur is,change1to/(italicJ. 2 p.377 Thelastequation atthebottomofthepageshouldhaveafinit, uy (mm Replace thé ition H,, =-gf dt+— —|dr eplacetheequationH1,,=-gf”al»()im . uy (m bytheequationH,,=~aftaeAp”(am p.388 Lastlineoftextonpage(right above Equation (10.3): should read _...the time rateofchange of... p.393 Figure 10-3. Thewinthefigure should beboldw.Thecross product symbol xshould also bebold x. p.397 Paragraph above Figure 10-6: ‘Add aminus sign—infront of@inthe5"line. 7"line:Addcomma aftertheword“term” anddeletethefirstleftparenthesis (. Add acomma after the]andbefore theword “is”. p.436 LineoftextaboveEquation(11.74):addminussign(-)beforecos(F}3 Itshouldbe-cos™().3 p.441 ThefirstlineoftextafterEquation (11.92) shouldread:_....totransform thex intothex7.Because therotation ... ‘Thatis,change thesecond subscript ofxfromItoi, p.451 Ninth lineoftextfrombottom (donotcount footnote): Change 1/Qto2”/@. p.470 Second lineshould read _..theforceonmyis-Kx~Kj, (x-x,)... Notethat oneoftheminus signs wasincorrectly alongdash. 3 ag p.524Equation(13.50):theterminthedenominator (eo )shouldbesquared pl ee ° asin(SF?) .pb . rat Equation(13.52):theterminthedenominator (a-oF)shouldbesquared pl (rary ' asin (77-0?) . pb? p-536 TwotextlinesbelowEquation (13.99)shouldread:...offorcingthestringto vibrate atanangular frequency .. ‘Thetextlinebelow Equation (13.101) should read: Iftheangular frequency is tobeareal... p.571 Thethirdlineofthe’ second fullparagraph might bealittle clearer ifitreads: ‘Theuseoftheimaginary number i(=J=1) doesnotinclude... p.591 Theequation above Equation (A.12) should be dt assealAaa-P+...}it, eat ‘That is,thepartinside the(__)must bechanged. p.600 ThesecondlineoftextafterEquation (C.4),inthenewparagraph, shouldread ‘Theproperties (a)and(b)above canbeverified bydirect substitution, p.604 Thelastlineoftext onthispage should read: Equating coefficients oflike powers... p-620 Equation (F.18) should have thelast“+”removed andappear as 104, rsind a9 4