{VERSION 6 0 "IBM INTEL NT" "6.0" }
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{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "restart;#problem 1, \+
tandem bike frame" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "thetab
:=(arctan(1/(sqrt(2)-1))); #angle theta b" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%'thetabG-%'arctanG6#*&\"\"\"F),&*$\"\"##F)F,F)F)!\"\"
F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "thetac:=(arctan(1/(3/
2+sqrt(2)-1))); #angle theta c" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'t
hetacG-%'arctanG6#*&\"\"\"F),&#F)\"\"#F)*$F,F+F)!\"\"" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "Fax:=Taf*sin(Pi/4)+Tab+Ax;Fay:=Taf*
cos(Pi/4)+Ay; #joint A" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$FaxG,(*(
\"\"#!\"\"%$TafG\"\"\"F'#F*F'F*%$TabGF*%#AxGF*" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%$FayG,&*(\"\"#!\"\"%$TafG\"\"\"F'#F*F'F*%#AyGF*" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "Fbx:=-Tab+Tbc-Tbf*cos(thetab
)=0; Fby:=Tbf*cos(thetab);#joint b" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
>%$FbxG/,(%$TabG!\"\"%$TbcG\"\"\"*&%$TbfGF*,&F*F**&F*F**$),&*$\"\"##F*
F3F*F*F(F3F*F(F*#F(F3F(\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$Fby
G*&%$TbfG\"\"\",&F'F'*&F'F'*$),&*$\"\"##F'F.F'F'!\"\"F.F'F0F'#F0F." }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 116 "Fcx:=-Tbc-Tcf*cos(thetac)+
Tcd*cos(Pi/4)-Tce*cos(thetab); Fcy:=Tcf*sin(thetac)+Tcd*sin(Pi/4)+Tce*
sin(thetab);#Joint C" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$FcxG,*%$Tbc
G!\"\"*&%$TcfG\"\"\",&F*F**&F*F**$),&#F*\"\"#F**$F1F0F*F1F*F'F*#F'F1F'
*(F1F'%$TcdGF*F1F0F**&%$TceGF*,&F*F**&F*F**$),&F2F*F*F'F1F*F'F*F3F'" }
}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$FcyG,(*(%$TcfG\"\"\",&#F(\"\"#F(*$
F+F*F(!\"\",&F(F(*&F(F(*$)F)F+F(F-F(#F-F+F(*(F+F-%$TcdGF(F+F*F(*(%$Tce
GF(,&F,F(F(F-F-,&F(F(*&F(F(*$)F7F+F(F-F(F2F(" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 55 "Fdx:=-Tde-Tcd*cos(Pi/4);Fdy:=Dy-Tcd*sin(Pi/4); #
joint D" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$FdxG,&%$TdeG!\"\"*(\"\"#
F'%$TcdG\"\"\"F)#F+F)F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$FdyG,&%#
DyG\"\"\"*(\"\"#!\"\"%$TcdGF'F)#F'F)F*" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 63 "Fex:=-Tef+Tde+Tce*cos(thetab);Fey:=-w-Tce*sin(thetab)
; #joint e" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$FexG,(%$TefG!\"\"%$Td
eG\"\"\"*&%$TceGF),&F)F)*&F)F)*$),&*$\"\"##F)F2F)F)F'F2F)F'F)#F'F2F)" 
}}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$FeyG,&%\"wG!\"\"*(%$TceG\"\"\",&*
$\"\"##F*F-F*F*F'F',&F*F**&F*F**$)F+F-F*F'F*#F'F-F'" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 119 "Ffx:=-Taf*cos(Pi/4)+Tef+Tcf*cos(thetac)+
Tbf*cos(thetab);Ffy:=-w-Taf*sin(Pi/4)-Tcf*sin(thetac)-Tbf*sin(thetab);
 #joint f" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$FfxG,**(\"\"#!\"\"%$Ta
fG\"\"\"F'#F*F'F(%$TefGF**&%$TcfGF*,&F*F**&F*F**$),&F+F**$F'F+F*F'F*F(
F*#F(F'F**&%$TbfGF*,&F*F**&F*F**$),&F4F*F*F(F'F*F(F*F5F*" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%$FfyG,*%\"wG!\"\"*(\"\"#F'%$TafG\"\"\"F)#F+F)F
'*(%$TcfGF+,&F,F+*$F)F,F+F',&F+F+*&F+F+*$)F/F)F+F'F+#F'F)F'*(%$TbfGF+,
&F0F+F+F'F',&F+F+*&F+F+*$)F8F)F+F'F+F5F'" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 112 "forces:=solve(\{Fax,Fay,Fbx,Fby,Fcx,Fcy,Fdx,Fdy,Fex,
Fey,Ffx,Ffy\},\{Tab,Taf,Tbf,Tbc,Tcf,Tce,Tcd,Tde,Tef,Ax,Ay,Dy\});" }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#>%'forcesG<./%$TbfG\"\"!/%$TbcG,$*2\"
\"#!\"\",&*&\"#<\"\"\"F-#F2F-F2\"#;F.F2F-F3,&F2F2*&F2F2*$),&F3F2*$F-F3
F2F-F2F.F2F3%\"wGF2,&F2F2*&F-F2F-F3F2F2,&*&\"#5F2F-F3F2\"\"*F.F.,&\"#8
F2*&\"\"%F2F-F3F2#F.F-F2/%$TcfG**,&\"\")F.*&\"\"&F2F-F3F2F2F;F2F5F3,&
\"\"'F.F:F2F./%$TcdG,$**\"\"(F2F;F2FJF2F>F.F./%$TafG,$*(F/F2F;F2F>F.F.
/%$TefG,$**\"\"$F2F;F2,&F-F.*&FgnF2F-F3F2F2F>F.F./%#AxG,$*0F-F.F/F2F;F
2F-F3,(*$FBF3F.*$F5F3F2*(F-F2F5F3F-F3F2F2F>F.FBFFF./%$TdeG,$*.FTF2F-F.
F;F2FJF2F-F3F>F.F2/%#DyG,$*.FTF2F-F.F;F2FJF2F-F3F>F.F./%#AyG,$*,F-F.F-
F3F/F2F;F2F>F.F2/%$TabGF+/%$TceG,&*(F;F2,&F2F2*&F2F2*$),&F:F2F2F.F-F2F
.F2F3F-F3F.*&F;F2FdpF3F2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 
"evalf(forces);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#<./%$TbfG$\"\"!F'/%
$TbcG,$*&$\"+LH#e5\"!\"*\"\"\"%\"wGF/F//%$TcfG,$*&$\"+FdV&G#!#5F/F0F/F
//%$TcdG,$*&$\"+Qtbk7F.F/F0F/F//%$TafG,$*&$\"+!zpQc\"F.F/F0F/!\"\"/%$T
efG,$*&$\"+H1R38F.F/F0F/FD/%#AxG$!\"!F'/%$TdeG,$*&$\"+%oq<%*)F7F/F0F/F
D/%#DyG,$*&$\"+%oq<%*)F7F/F0F/F//%#AyG,$*&$\"+KH#e5\"F.F/F0F/F//%$TabG
F*/%$TceG,$*&$\"++AR#3\"F.F/F0F/FD" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 76 "#Largest tensile force is Tcd=1.26w, largest compress
ive force is Taf=-1.56w" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 91 "
#regular frame from class had largest tensile force Tad=Tcd=0.38w and \+
compressive Tab=-.77w" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 71 "#t
andem frame forces are more than twice those in the single rider bike
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "11 0 0" 0 }
{VIEWOPTS 0 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }