lecture7 - TEAMSLA‘T/NG‘ (Zoo 20 INA—7'5 9/372 H3...

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Unformatted text preview: TEAMSLA‘T/NG‘ (Zoo 20 INA—7'5 9/372 H3 ’— E-To 3MP FRAMES M05“ BE 'HME'DEPENDEW 1F >< {S FIXED, (TS TxHE DEPENDENCE MUS/F 86 ACchUN'TED Fm IN TAKwa Tme DEEIVA‘TM/ES‘ (N FORMULATION oF Goveramwc mw: AND FREE sum—ma; can D1T10MS >0.ch Y =2 - — -- '— x “A 2 p.) F- LET E<Xft> BE THE VELOCJV'Y Pm-EWIAL 053cm Suva THE PWEMT/AL Hour CENEEA'TED 67 THE; SH'p RELATIVE To THE EARTH FRAME -— THE, awe Pas-remmz. EXPEES‘SEDRELATWE To THE 9m? FRAME (S CfDCSErt) . ‘THE RELATION BETWEEN THE Two PDTEMT/ALS l5 GWEN 8% THE mew—(77y @(xfligfla mnmm =<§><x~vtmaw WHERE THE EELATION BS’T’wEEN‘ 'T'HE COOKDHUA‘ZES 09: THE Twc) CoopDINNTE S‘VS’TEMS HAS BEEN INTRODUCED. N05712: “(1+6 TlHE DEPENDENCE [N T145 AM‘DMEMTS oF‘THe TwO PNEUTIALS (T PLACE (IV THE GGVEENWCI EQUH‘TwMS‘. Ame ALWAYS DERIVED RELATIVE To THE EflR'T'H coozmuATE SYSTEM AND TIME 9" DETZtVA‘T1VES ARE INITIALLY TAMEN m i: 4% a )5 E: £¢(X~Ut,y,2,3 X if all". E’— 923%...Ugi’ 'Bx At at" at Bx n ~U THE MAIN 126912;? To FOLLOW 13: A ALL TIME DERIVATIVES of THE. EARTH FIXED VELOCITY FWEWIALIE wHtCH APPEAR M1 “We FREESBEFACE chprmom AND 'THE 3ERNOULL) ECQUIA’FION CAN BE EX PRESS’ED m Tseusov DERIVAT'NES OF c(> uswa THg GA—LILE‘AN TRANSFOK HATIow DE‘QWEO ABGVE- IF THE Fab-w IS STEADY RECATIVE TD THE 61—h? FmE—D Coo emu/1T5 S“! STE-M: 73¢ _ “2:” QH; bx 02,1"ch 91-HP WAKE IS STATzoNA RV RELATsz TO THE SHIP BU'T'NCS'T RELAvaE '17) AN o 835:? VEYZ D‘N’THE Beam, Frag: SURFACE CQNDITION “LINEAR Z A E +ge—l—ééi: C) 2.20 4ti- d2 ’ . =13, Eitwii’ At’ 2+. >< . AE-(A-UE§2>E “333’- 0514* 019— at x ' bt‘ bxbt THIS IS THE‘FREE SDRFACE com pz'rnow GGVERNINC THE FoKWAeo»S?Ez;—‘D uw‘emz SEAKEE P1 FROBLE‘M. LUHEN No AMBIENT wAVES ARE PRE§EMT ?¢/3b=o AND cm“: GET/HM THE FREE s‘utaFAce CONDITION Folz THE sTEfiDy kELrvw S‘HIP WAVE PraosLEM L 2 U 34> 2<§> ——~--- + ~— 2: :: T “‘3 ’5‘ THE FAMOUS NEUHANN~LELVzw FBEE-§ORFACE can! 0171010 GouEfdm INC THE uuewz s-réawvauE PATTERN GENETLA'TEO BY A TEANSLATWG SHIP.__ BERNOULLI EcOum-row '1‘ ~€ [(Eii—UE—f;§+év¢-U++3%1 FEZEE So EFA CE ELEVATION asLiE 1}: PS? <3 011:) ‘0 ~,\ Pf" ESE ’ 3(3t-UBXBZ—m IN THE Kemw 3H1? wAva PROBLEM. HENCE: £0 1? THE VELOCITY PUTEWIAL CPU?) )3 AVAILASLE [M 30346 FéRH RELATIVE TO “THE TRANSLATWG FfiANE ,THE WAVE PATTERN FOLLowS FRW’THC ABOVE EXPRESSION.~ ...
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This note was uploaded on 02/27/2012 for the course MECHANICAL 2.24 taught by Professor Pauld.sclavounos during the Spring '02 term at MIT.

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lecture7 - TEAMSLA‘T/NG‘ (Zoo 20 INA—7'5 9/372 H3...

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