payload mass (kg) Data point

Transcript

1 : %"$" +, + %$ "?'&, + '&) + " %g -, 'm )" % "?/. F $ % D - ;2Z " " % ) 4 F 65y ) % + &%48 9 : <; BA H=5 ""'& $ A + \VAf + " 5\ %f" 6AA_" f'af6q"b> %)6C. 5\ ".K" % BD " /.KBD & [?> % % \5" % + A %E>xgA [ % "B&)&"'& %-%> % Ag%"?F % + &%&% 5 \ + &%?6 " A_' + A "? $ A + ""'& $ A + \ B ;6 " )> -& GF %)"H5 6;? A 8 I +)I D.K" % %-%;6 + "ARA_6;"? g^?5 "?'& + 5 J I F8H "? +?6 %-" + " " > f %?5 68% + >x Ag%'"? "$[ %)&?" %' ;68"K>x " + %L>xgA D} % + A " " 5y %>?5 GF + "'&` )5 I " + A "$ >" >%> B % Ag%".K%" )A_ + A5 DK"? M5y" "? %Q %I " )F B % Ag%"Q f%"$a_ ) A_ "? + + &6 N5 f "?4& 545 $ " )?6` " + H.K" % Ag% + A F, f'a Q?> + %>?5 %C5 6;? ; ' "O&?&"'&P>x\A + " + \"'&G ]?5 "?8?> % Ag%".K" % DA_ f 6?F )Af "A?6 " "A + %P5 6; "O&?&"?'&R>x\A R% + 5'5"$A $ u6 A + S.K" %' + $ f'" f?"'& " "'& A_u % + Af' + A %>"\ +?/.aa_ f'g " " + f?> '&D. ) % Af 5Jf 8?> $ % A + 5D + )8"? % %u6 +?"$A A_6;"? g6f[h 5 " + 5'5\ Ag% %T5\. )?)5 ; " )?> % 6; 8 "A f% + " + K%> % Ag%"??U + A FCV W5 A "$A %/. I " "$^ DA_ "$A " + Ag% "? f Ag% Ag%")FYX + %I % -& + K?> + '/.K?9 DA >F + f 6; "$Af + Ag% Z>F"$A "? %;6 + "A f "$A_" 6 >F &\ + )'}?" " "?' A &\ + "$ ^"[5D + ; '& F %[" "A Q. + + " DAg%"$A " ) "?4& )?"'&%> Ag% Ag%" +.h + "B&% >x@d. )Ag% "$A ;"' ".K" % "?4& "A + " Z>x ;6 Ag%"?F %}" % p]\ )-^Rp $6_ }"' a`. cb-, Ag% Ag%"- ^ &+?6 % + -?>Z5 8 \"$A> 'Da5 8 \"$A 6&D" )Ag%" + ) ) " %C> + 'A " d>x?> % 65 f f'a >?> %C5 6;? %RA_ "4& + "? %> % Ag%'"?)F 'D 5 8 \"A f \ + ) 6 % %H5 6u A $ 5 )\ > + 'A " %> %-" 5 ) f \" ) % %"$> + 'A "? A 5'5\ $ " 6. f"o&% + %>?> "> + 'A "?'F "? & )\&" "$ +.K" %?> ""'& D " %e. f"o&% FTV A_ 5 "$A f + ) % % 5 6; A $ B 5D ^ /.KH> + 'A "?-%> % "? 65 f ) \" ) 5 8 I\F % ""'& " %) + ) " B %5 g6f fng +h i.kjlh /nm 24oqp /ar stg +h i.kjlh /nm 24oujah /lh arsvxw ),6Zy+hzp {x ~}c.5ar-+-xw x xh. } h 6+=ƒ/jap.kjdg +h i.kj ah /nm g +h i.kjlh /nm 2K Yh 5/xjlhzp xg +h i.kjlh /nm 2 vˆptw ]ptjšm

2 E 2? + STICK BOOM BUCKET "%$'&)+-,/.2465$9824;:<<,>=?"6"%@A BDC,>EFG ">$4H=?"I,JK$L2M=?@NF6"%$O,>E$PFGI$L=6QF6"R6@N$9,>"%2S6CHTC=CUVF"%@W$9,>"%2O"%$9?">$XG>G>Y=?CZ@N=T$45GCFTA,>EF$9"G> [,R6\5[,/.,>=P,>EF$"%=\F5Y$4@]=6Q^T$9,>$4">@NCYCF_,>EF$O@`?G>G YCa,>E$S\H2Rb$M,XcEF$"%=\F5Y$4@]=6Q^T$9,>$4">@NCYCFL,%E$ Qd=?"%29$ =?Ce,>EF$,%$9$M,%EZ=Qf,>EF$ \F2Rb?$M,'29Cg\h$P@N=T$955$4TiYCjZG>Y@N5"OQkG>EY=?Cf_l=<JK$9:?$9"XmHY,'GOC=,S295Y$X6",>EF6,S,>E$4">$WGSAGIC?5Y$PQd="R2M$W2n,%YCFZ=?C,>EF$,>$4$M,%E=6QK,>E$`\H2Rb$M,LT">CoT?YCoCFTjC=6,L@N="%$`2M=?@WF5Y$98j2M=?Cp,%2M,'\H$9,/J $4$9Cj,>E$a\F2Rb$9,_6CFTi,>EF$`"%=CFTfa=?",>EFG"%$4?GI=?Cfm,%EqG">$4H=?"I,KQd=2MFG>$4GK=Ca,>E$S"%=\F5Y$4@]=6QT$M,>$4">@NCCL,%E$SF;.5Y=pT`@`?G>G4cE$S">=?\5$9@]=6Q^@W$XG>"%YCP,>EF$ T?YCWQd=?"%29$=?CZ,%E$'\F2Rb?$M,,>$4$M,%EAqGC=,T$45[,JY,>ECC.aT$M,R65r ce$cp:?$4gi,>?6,>=cl=qf,%e$c=cuvf"%@w$9,>"%2 "%$9"%$4G%G>Y=?C_@N=T$95CFTq29<,%$4G,%EF<,,%E$\5?2Rb_\h=;8L6"%=??2RELqGY@N"R2M,>q295 T $a,>=o,%e$a5">?$e6@n=cp,l=q,>"r6ccgt6,%oc$4$4t$xts,>=g$4gi,>@n6,>$a,>e$zf;.5y=ptiqdcf2m,>=cfibv,pjk=5qtgi$4$9@t,>eh<,p\h=6,%e 6CA$M8?2n,@W$XG> "%$9@N$9Cp,=6Qy,%E$S@N=T$95fF"%@N$M,>$4"%G qgc=6,"%$4up">$xtl $9CF29$m,%E$SF6"R6@N$9,>"%2@N=T$95f6FH$X6"RG,%=W\h$S,>EF$ \h$4gi, 6"%=??2REf ze{r } ~eo 4 9 9ƒA L o Aˆ~L ' KŠ Y? "%$&FY)G>E=<JG,/.pF2465$M824;:;6,>=?"29=CFG>qG/,%YCS=QhO\H==?@AmpG/,%2RbP6CFTP\F2Rb?$M, 2M=?CC$X2n,>$XTL\._FYCOŒ/=Cp,%GCFTPEp.T"R6F5Yq2 2M.5YCHT$9"RG9 G>C_,%$42RECqup $4GQd">=?@ŽT.pCH6@N24G YC`,%E$ \FF2Rb$9, 29Ce\H$OGIh$429[ H$4Te?G SQdCH2n,>=Ca=6Q,>EF$"%$4G%GI"%$4GxCS,>EF$E.T"%5Yq22M.5YCFT$9"RG9m4,>E$ 6C?5Y$XG\H$9,/J $4$9CS$4?2RE'2M=@Nh=C$4Cp,y6CFTO,%E$9"yT$4">:<<,>:$XG kg>$9$ $42n,%Y=?C_&? M l$4cf2m$?m6yqh655,>ef$kh6"r6@n$m,%$9"rgfcl,%eg@n=t$452m=f5tp\h$t$9,>$4">@nc$4tm6,>e$4cwt$9,>$4">@ncycf,%e$@n?g>gcl,%e$\f2rb?$m,j =? 5TP\h$ `G>Y@N5$'@`<,I,%$9"=Q$4:;5YH<,>CN,%E$SQd CF2M,>=Co:$4CAP,%Y@N$_EqGI,>="%.e=Q^,%E$_6C?5Y$XG6CFTA"%$4G%G>">$XG9 CQd=">,>FCF<,%$95.m,%EG 6F">=p2REPG@N"R2n,%2465Qd=?"GI$4:$9"R65"%$4?GI=?CFG9 \:p=hgi5.m<$4:$9cnjy,>è 'T$9,%65$4TW@N=T$95,%E$9"%$6"%$KFC@N=T$955Y$XTWQd$4<,% "%$4G4m G>F2REA?GKQd">q2n,%Y=?CZCA,>E$'FYCFGCFT2M.5YCFT$9"RG9mCFTe,%E$'E.T"% 52$95qGI,>q2MY,/.a6CHTaC$9">,>qW=6Q,>E$_29.5YCFT$4"%G4cE$9"%$SG5G>= 5q6"%$e@N= Cp,L=QC=qGI$ZYC,>E$AT<,RmF"I,%295">5.gC,%E$Z@N$XG>">$4@N$9Cp,L=6Q CF5"L242M$95$9"R<,%Y=?CFG4 l=<jk$9:$4"4m^,>ef$

3 y ' payload mass kg) Data point X "B& + F 5'5\ $ " "?G%> %=5 6;? 5y" 6F + &"'& "Z " > + 'A "?'F + "G?> %> + JA " % Z""'& G &"O&'"JAZ +. A + &"'& Z" G f"$ %"e5a "$A?" 6%> + \"'&Z %L5 g >x Ag% Ag%")F"I DA_'G"AZ?6 " "$A $ + %5 6; &% + % + " "? + f >x Ag%&Ag%"?F ' %'?5'5\ Ag% = " \"AZ?6?5'5y % "? G )"$ + 5KD 5 "$A 6& )\"? ) " %L5 6; > + 'A "?ˆF FK + "D "e5 f "'& %) )Ag%'"% + D)T.K" )?6 Z"?FV >+A `&"e5r gag% %> %PV \ %> 5 +' "$A Z"-,. \ + ") >x %%5'5\ $ " "?> > + 'A "?' + "?4&@ " - &"$H> + 'A "'/ F " \" n 6 %"%5'5\ Ag%2 + ) % % > + JA " "% + ) " A 4?5'5\ $ " 62. f"o&% +?> " " > + 'A "?'5Z + )[?" & )\&" 6G"? %. f"o&% F59;?5%'" "$A " "$ 6R" %8Ru + " K %> "$d> + 'A "?'6F"I ) %"$ % ] 9 Z" >F\ F 9V " )Ag%?)&" )Y.8 + QA_' + A Z%545 $ " " %Q5 6; > + JA "df"}%.: Z" 6L5'A_"'& /.K&;) " % + A $?> A 9Z + \"?4& %5 )\ + )8 Z'&D: %Af & + "?8%> % 6.: " F"I + A $ %^A_ H5' " 6-%> %5\ % D "?4&C.8 '?6-<Q +' %> %"$ T>x.K%"$Ag% % A_4& + 6 "P.85 "$A%FYV %"}A %S5 6;? > + 'A " 65 f h % % Z'&D DA" "'& % A_4& + 6 "?> %=>Z %C5 )\ + >"?kga_6;"? + %;Z4& + )?@A_" " ) Z A)A )I6 "'F X "B& + F-%/.[ %C5??> %;%545 $ " > + 'A " >x % <5y" + "? %$ 6& )\"?ˆF?"I D % "?" 6 %> %%5'5 $ "; " l"? I@5y >x@&\ %>9 A &M.8D I Z %;G f.8 6"? %/.K % &%5%"$A?6 "?"'& " 4F5"}% X "B& ) + "'&<5 6; > + 'A "?.: %f + >x %; A & 'F5"}% D + ) + F J'F"}% % ">A_ 6 + B "? I@5y. fc\) " % Z""'& 'F 9;"?JA % "A Q"$ $ 5 )A + >x@p.k" 6'& Q%> 5 6;? \ D " "$["H56A "$A Z" % "$A % f?> "? % + " FD A_'A_ + % ]>x % % A $ %5'5\ Ag%?> KD 5 "$A 6& )\"?"[ ZDA_'G"AZ?6e> " ^?5 "ˆF $ r / /FE G HIH %&%'%KJp+-5 J. L Jp5 J )NMHIO 6P H-jly,2 Jr / 6w,

4 I payload mass kg) Data point X "B& + F J 5'5\ $ " "G%> %E5 6; + " 6"?"'& F + "'& "Z " > + 'A "?'F Z + "?-%> %E> + 'A "P>x \ D,

5 ~ θ Y P 2 P θ 2 θ P XO& + F"$% '& ),+.- +) >/ " & 2 4 &5 2aF " 5 56% )2 8- %> 5 59'Da5 C ;:%545 9: <& = >+ > 5 2 :2? &+5?>?5'5 VA '& = B = 5C92. ; ++=+ 5 5; )54& & 5D + FE 5/.G2=& & %> &@2 2 >/ H?> 5 > + +I % + =& FCVA 5 >/92)2/.G)'& +. J&5 2)5 & )2=& J & 2Y>/ $ : [FLKM/. = D 9 +)+5 5 C'+?& : 2- > 5 ;@: ) DK. 5 ) I & =++ )9< %> & C>/?E 5/.G. O& >'+ >+ 5 5 =+ ) 5 J & 2lFYVAe& 2ND 5 + I59'DN2) $& 5 &5 : %> & ; ) ++ 9 & 5 & 2>+ 9 & 5 + E 5/.G 5 =+ F "< 9&@5 :O e52;: )9 + %> ++ )'&P59KDQ2) R & =++ )9 2O&9 + D 5 & + )22 ++) >& TS F ++ 4& + e52 9 D >&P& B&)& F X5 + 4 & 2 & O&?& D 5-2) & + L2)) > + '+ D 922)/.G)'&L2)) G & =++ ) >& >/ "5 W>+ )9ˆF 9 'X Y Z<;\[M]_^a`PbGcWdIcfegZih " 5L $ : W+ /.G\) XO& + F + & 2)j =& 5 5 2)) E + /.G\ XkO& +5 F FWl & - J;: 4 & 2 %> + & ;: $ : +?& 2)?5 =& ++ )'& 5,m %& 4&9%545 9: :O e56@ %> 5,& O&?& = +? 529: =& %- + )'&92 2) E FK" 5 2) E + :O9 : =& %- 5) +. ;: 922)/. 9: 2)) E + )'&@2I& & =?>d> >& 2)2 9 & :9 +) ) 5 2) E%+ n2) 5i+ 52 F9" 5 2) E + + 6=>& > 5 + & JD4.G \o9pc )'& 5 9'&92 %> '+ 2) E.G '5i )j@ 2d529 9 &\orq DCsGt D C )'& 5i 2 4&92T6. = u2)) E + sgv & s-f)" 5 9'&92 oxw +?=+ >& >/ "5, )9y%> &;5{z $ + F - m?& '& U+ % + )9 + %>J )9-/ + 5 : > -; 5, &9=+G+ + > - 5 >/92)2/.G)'& +.- +) }%> % + )9 + ~@4 M C o q v o qm ˆ q8 s I Š Œ F x?. 5= yƒ q + 5? %>.V E,& + %- 5 59KDA:O@ + >/ : =+.G : +=+ 9'&92"orq F" & O&?& Ž+I+)+4 8 : y:9 + >/ : >+ D & +5$ & 8- D & 59KDA:O@ + >/ : =+ 5 + & '5J - & + 2;: : - 2) & '+ 6. 2) E & 5 % +5 %5452=& 5, )'& + F la: & W : =&$ 5 $ =&e +.?> 5 +) 2) E F" 5R $ + + 2)B&@ =&.G 5f& B&)& = UD Jz $ + ;:2 H + & n $ & ;: Ž) 5J )j9 2~529 F{l + 2 :O% & =& ) R+- + >/ 2)) E s + 5=& 5 5)U:O9 : )'&i2) E s v L2)) E stfg q )9 :?> s 2) E 5 $ >& :O% '& ) f+- + [F X

6 D ƒ ƒ ƒ ƒ 2) E + O&9& & - + & & + 2 )9ˆF m ) E s =+.G '& + 2 2)%: 8- Œ I q oxw9 q p o & U+ +4Œ 56@ q =+.G 2 : 8-q D'. 5= p I q q p Œ q v q p q p " 5{E ) C ): & 5C 2 = & - %> 9: 2) EU& 5 5 ; ++ yq DC: %> ++>q 9 & 2 + Oq F X5 :O@ : D 5 :?> ++ 9 & =) 92 + '+ E@ 2 " 56 + )9n q 2)) E F D + : 2) E + 4& O&9& 2- ) + : & W+- + UD q & q & 5 & ) E /.GC>+ 5 2) E '&@2>+ o p 5 + & yo q FK" 5,E C ;: & 5C 2 & -?> 9: 2) E &@ - 5, $ 5 + " q UqŒq$%qQ Uq&q$@Œkq '=qq kq&oq& q Œ F )6q yqœ q =qq 9Œ I + I Œ F J. 5= +85 9:: & +5 e& 8- F" + D " q &,) q 5,E ) C ): & 5C 2 &9=+ %>k2) E sk9 &,q p " q v ) q + 2 & ) % F F E L%- 5 59'DQ:9 + >/ : = '& + %> 5i%- & + 2);:,: - 2) & =+ : 4& F m C.-qŒ/orqQ C 2 4& %> 5 : - 2) & :O@5 : )'&J2) E s.g 5 5 ) ++ 2) E D% : +. %> 5 '+ 2) E : - 2) &5 :95 : '+ B& +5 )'&{2)) E + D 5.$ E :O =+ 56@ & )'& L: '& =+ orqk& 5 5 > + -6q.Œ/orqQ & 5 >/ : 5 s / : - 2) & + >/92)2/. + q q -2q Œ/o q Œ F " 5 >/ : q + 5 ) >++ +5W& : - 2) & > : =+ F~V +" )5 >& "5>+. > ): )992c>/ : =+ I & ; C &@2 : =& F KW/. D@) 5I " "5=- D 5- ; - C ++)+ >& C )R5 ) : 8-?> 5 : - 2) &5-2 Œ o q o q F " 54 $ : S+ : E9 +, 5 =+ =& +5 & 2) E FK : 5 5-2) & ++ +6, F S : 5 5C 2 & -?> 5 B2 2)) E D6 q D & 5 9: %> 5 4&92=+ D & ; ++ %5'5 + ) % + )9U) 5i+- + &9 %- % + )9 F F5" + D 5=+i % + : C ++=& & = P> + >/ 5-2) & ) = +?> 5 9'&92=+ D9: - 2) & 5 =++ +5>+ & 5 C=+?> 5M+-%+) [F8M D /. D L % &5 5 & '&@2 5 =++)+5 F K : DY>/ 5 59'Da5 C ;:%5'5 9: D 5 5-2) & > + :9 C ++ + =& & 5 & '&@2>+ D 5 ", >+ %>k: '& D & 9 -P+ )'&92 5 =++)+5 F X5 5 5 C ;:;%5'5 9: Dˆ. =+)=& ) / ) & > + 6: )9 &5 5 & E 5/.G 5%D C'+ F4" =+;+ E 5/.G 5B C'+ 5 ++=+ D Uq DK & 5 4 +yq&=q &9Oq?> 5 2) E + F S%): &9=+ 9 & & = 92)j >& >/ : =+ 2) ) 5=+ 5B C'+ D & ++ + )992 > + 6: )9_%> 5B C'+ D 2) ) + = &'5J&5 5 J) FiK : D 5 5 C \ 92+ 5@KDN2)) V & >++ ) F 9 ;: <>= Y?A@CBEDFDL[Wh "P:O e5 5 5 ): 9 & 5@KD 5 C ;: %545 9: 5>+ D6:O9 + & 5J+ e52l& O&?& R+ /.G + : 5 ;:2)2- ) XkB& +5 F A F" $ >& D & 5 :94& +5 )9P: '& = G 5 '&@2fo F l )'&@2 2) %> 2 E 4& HG. ;: T& =+ 5 R D 5J+ +'+ : O5 + i&?5'5 =& F)" 5 : %> ++?> 5 2) E =& 9 2) 5 2) E & +) 6:.I > 5 +. F"KW/. D &5& ) %> 2) E D; ++ J 5 =+ )'& 5-2) & 5=& 5L &?> 2) E F " ++ D p I D p o &K p ƒ ŒI :O +5o5 ;IM+ ) o@ D 9 & % + )9 + Œ F D Œ F J &BŒ F 6 :O " o JLG o Œ F A@ ) ƒ Œ&JLG 'IC + o Œ F - 2 Œ o@ NMPO Œ F9

7 + gz J 9 M l m x d h θ) θ ^ F">$'& c EF$ d2 $4" NG> Y@N5 $ FG> C 5 $ $9?">$4$ =Q^Qd"%$9$ =@ Y? $9"

8 o 9 S +'6+ &+ )'&, % + =&y& >+ ) % + )9 F D 2 &5+, 2 )9 JLG o IŒ&JLG I :O + o - 2 Œ o@ NMPO{. ;: : =& >/ "5 5B - 2) & ++ FK" + +G $ 5 >++=& + J Œ M.o@ - 2 Œ o@ NMPO v 'I :O +%o v G o G : + o Œ F " 5 2 '& K- + &9 %-, $ 5 =++ )9 -Œ/o@ ~ p <~ vc ~ p ~ :O + o5 &P+ -2NŒ/o@ ~ p ~ + Œ o@ - Œ o@ " 5 2 '& + ~%p & ~ D4. ): \& >+ : 6 5 :94& +5 )9y%> 5+ 9 D ++ + =& 6{E 5/.G 9:=: -P& >+ =& +5 9: - FD 5 + DrD D &G :P952-P6I>+ =& F" + +$ 5 >+. %> 5I 2 : +.. 5= 5 : %> ++ %> 5 5B - 2) & :55 6W&5C= 4) =& ) & 6: G+ e52-lc : ++"5W& +) + )94%> 5 2) & ) 5+ : E9 + 5 IE 5/.GˆFCX +5 5= D 5 : %> ; ++ 9 &' ) E :5 C4&5C= 4) =& >/ I 9: 9: ),& +5 :O@54;:I:O F X5 5,& - 4;: % D i9kdq2) > + 5= 5B C'+ F" :O H52;:%D )9 + %>9KDQ2)? & =++ )9P:O9 + & 5{+ ):I: +. FYVA + : + D 5 ++ : 6, 5 >+. =& + C> + 5 >++ +5 D4&92 9 & 5.V + E 5/.GR5 C'+ D p 9 & + 9 & % F C :O =+ J Œ M.o@ p M o -Œ/o@ v Œ F. 5= p ~%po~ O G 9 & 'I G F M D f+ ): ;9 - %> + E 5/.G 5 C=+ :5 QCi& C 4 >& ; -F& >+ - D@5@KD & + )9B2)j )9 + 5 ;:92lFYX5 G+ e52;:o 8- D VE 2)?& + D C=+ 9 & + :O@ &5+.G)2)2 C ++=& D + 5=+ G 2 5M+ :92?> 5 4)5)'& $ : + FdXkB& +5 F +. /. + 5 :9 +5'+ %> :O@ +) ++ >/ "5i+ e52 4 &5 2 + L> + 5{+ '&@2 9'&92Io & 5 >++ +5 D M ) 5{+ '&@2 : - 2)) ++ & 4& 5 5 = 92 +5>+ p I P + 4D E &6D ~%p yd ~ [F VA +G+ e52 4 & 2u. R 5?5 )9?> ++ 4& & > + ;%5'5 $ + > + D5 ++ 4& 2) G & `.. / & C>/ J D o 9 &FM@ =+) ; 5 C'+ F ",2)2 +6+ "W 4 : =++ %> 5 ):8 & 9KD 5 ):8%545 9: 5>+ 5 2 UD.V & +C+. & =& >/ >+ 4&4F@" 5 +)f& +C.8 + & = >&[ - : % + )'& I?I?I & 5C9) '+ ) 5 M D o 529 D :O e5 + )'& ++ D J Œ M o@ > % + )9 F 9 & &5& )'& + 2)2 4 + %>k = 2=+ F" + & f+"+. /.GJ)eXkO& +5 F 4F'" 5 U U + O&9 +g 5 =+ & ++=& >/ 95)'& J & 2 &5 :O :2>+g 5 =+ & ++=& =+) 5M>+)+ 2 )'&5-2) & > + : )9ˆF l + :9 &J+C?> & D +. /.GJ)PXkB& +5 F / D%.8 + & = =& ++ 4& 92-@= 2 +5=+ %> 5 ++ J Œ I E &6DcJ I E &< & I E & F? % + )9 F M.: + ++=& & = 4) 5 5 >++ +5 M + L> J & 9'&92Mo FK" + > + 6: )9.: =& &5C= 4) 5 5 =++)+5=+ :O =+ 56@ & )'& 5;5 ; ++=+ & 9 & + e52 %>?9'&92=+ FHR: %&) Dk59+..: + && =& = & 5C9) '+ 5 =+ I 2 '+ ) F" 5F& R5C9) + : >+ 5C9 & '& 5 2 & =+) 9 & + 2)2=+) ; ++=+. ++=& >/ " 9'&6D &;{& L>/ "5 4&5& 2 ++.: +"++.>& >/ = 6: )9ˆF " 5 > + 6: )9 J Œ M o@ 9 >&$++ )'&?5'5 %- & > + : )9 + ) 5>+..V & +R+ +C+ /.G\)WXkB& +5 F 'F,$e5 )'& 5.V :O@ +5 52) + 5L $ 9: : ) %> XkO& +5 F :2 2-U+. /. + >&; ) 5 %5'5 $ ; )9P9 42 & D + 5B>/ 42- & +) + >&y+ e52))'&4%> & 'F S%): 5 J & 2"+ 2) 5.V 5 =+ D +i+) O& > >/.8 '& 5 >/ \2)) i & ++ 4& % + )9 F >+ Q p 9 & >/ 4& +C F XO& + F + /. + :O@ %> 5 %5'5 $ > + : ) )'& 5".$ & +C'+ FglW2 + & $5W '+ + : 2 & = >/ 5W+. :O@ &4+. D 5 5 ):: C & 5 & + : >+ >+ CC M>+) 'Da5 C ;:5 C & F

9 + gz 9 A angle pressure "%$'& & =Cp,%= "RGK=6Q,>E$'$98?2n, ;.5= eqd CF2M,>=CAQd=",%E$?$9"

10 angle Œ +. l pressure angle pressure Œ 6 +. " XkB& +5 F +C'+ >/ )54&$9 & =+) )'&L?> 4 & 2+ F" 5 )54& & L+ E9>&P%- : ++ D '+ & >+ 4& & %- : :O2=+ F

11 5 + gz angle pressure Œ +. l angle pressure Œ 6 +. " XkB& +5 F V$@ +5'+ %> 5 5@KDa5B C ;:)?5' ) & > + 6: )9[>/,TS O&?& F "?5 D & +. l{d yd & +C "

12 angle pressure Œ +. l..9 angle pressure Œ 6 +. " XkB& +5 F ): %545 $ ) & > + : )9[>/ 5,BS O&?& F " )5 D & +C l{d yd & +. "SF

13 8 98O 9 Z UbW] BOZ +5 =+) )'&<%> 5 C ;:&9 & 59'Da5 C ;: C &5+?> :9 +)&+ : )'& 5 ++ > + 6: )9 > ) & ;: 5 59KD 5 ):6\ t^6_<%545 9: E9 2-6P :O@54;:922- > + 2 F lw2 + & ) 5-5 %5'5 9: +,+ e52 Ue52 & : 6 %5452=& 8- =+.G J & 22))'&D6 5 9: ;: D + C %> & P56@ '+ : =++ - >/ 5 95)'&n?> 9: [ $ + %n2 & F R 5 G 9 & D + :O2 " 5 C ;:@%5'5 9: : C++=& >+ ; ++ > + + E 5/.G2=& &?> 5n & C- %> 5 9: D + + )'&@2 Dd5 ):9D & - U $ :9 C %5452=&..G& 8- %>;@: ) + ;:S& C- F VA +G 5C. :O@ + & + H52 2) 4 & 2 n)22 ++) 5 & 9 %& =+ %>~5 C ;: & =++ )9 = 5@KD 5 C ;: & + 5 ;: + 2?5'52)): )9dFX 5 > + 2)29: ) D + 2)E@ 2-5@KDN2)) & : 5% +=+ ++ TC %5452=& FPV { ;9 + 6F+ /.G 5>+. &5+.G)2)2":O@ & >/ & )2 2 >/ 8 )5)'&4F S%): 5 5f $ : + 5 C ) > =&.G D 5 9: + 92 & ):.V + 2& : =++ )2-;++. 5 > + 2)2 & - 4):@4 & 2 5=" 9 5{+ H52=M+ ):@4 & 2 $ 52) =&P5 F VA =+) )'&@2- D + 2=++ + 6: 9 8- ) & - 4;:;4 )9?> 5 & O&?& ) 5 +) ;: + + )9dFMVA 5 E ) ;: : +. D 5 > >/ : u: - 2) &5 + > + 6: )9 %> 5 2 :O 8- FWVA_:O@ +) D 5 %&9 &+& %> +) ):C> ): )992~>/ :.G2)2 & ) -?> + D ) 5 - Dq. 5 W> : =+ ):O2 +& >& D 5 ; ++ ) 5P+ : E9C :9B 6F&5C= 4) =& > 5 =++ +5 & 9'&92 J& 92@ F4l :O9 ++ %> :O@4& +5 ) >/ "5{+ ++ F &

14 I 9

15 - / - - KLFf) +NC &4F, tb&, /.cbtb6`. / $. ""6K? 5 %$'& /.,D.) E D /,. E F+ ` =,,..-,. /\%/ -.2,. 54Cb 6 /`@^88" : 5;:92 5C DVA +) +?>,l & %5 9 & +5 2$ H5 + )9 D + )9U?> VAK>/ ): + D & ) +5 & 29 5 '+ 8- D