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20 "6#>%+printlevelG\"\"&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
68 "froof:=\"/mit/custer/maplerope/yowie_presentation/threebounce/froo
f\";" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%&froofGQen/mit/custer/maplerope/yowie_presentation/th
reebounce/froof6\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "Digit
s:=20:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15543 "for MT from 12
727 by 4000 to 12727 do\nfor M1 from 35000 by 12000 to 35000 do\nfor l
amp from 3000 by 10 to 3000 do\nappendto(froof);\nprint(`start of run`
);\nM2:=evalf((MT*M1)/(M1-MT));\nm:=80; l:=2.24; ff:=0.094;\nwriteto(t
erminal);\ng:=-9.8: Ca1:=0: Ca2:=0: Ca3:=0: Tca1:=0: Tca2:=0: Wa1:=0:
\nb:=lamp/l: k1:=M1/l: k2:=M2/l: a1:=k1/m: a2:=k1/b: a3:=(k1+k2)/b: v0
:=-sqrt(2*9.8*ff*l): \nkt:=(k1*k2)/(k1+k2):\n# MT:=evalf[3]((M1*M2)/(M
1+M2));\nguessw:=((k1)/m)^0.5: guesstc2:=(k1+k2)/b: evalf(guesstc2): g
uesstc1:=kt/b: guessc4:=-1*(m*9.8)/kt:\nappendto(froof);\nprint(`total
 modulus modulus 1 and lambda pavier`);\nMT; M1; lamp; \nwriteto(termi
nal);\nsys1 := diff(x(t),t) = y(t), diff(y(t),t) = -a1*(x(t)-z(t))+g, \+
diff(z(t),t)=(a2*x(t))-(a3*z(t));\nics := x(0)=0, y(0)=v0, z(0)=0;\n#w
riteto(eraseme)\nsols:=(dsolve(\{sys1,ics\},[x(t),y(t),z(t)])):\n#writ
eto(terminal)\nsolsprint:=evalf[5](simplify(sols));\nif (lhs(sols[1])=
x(t)) then POS:=rhs(sols[1]) elif (lhs(sols[1])=y(t)) then VEL:=rhs(so
ls[1]) else POS2:=(rhs(sols[1])) end if:\nif (lhs(sols[2])=x(t)) then \+
POS:=rhs(sols[2]) elif (lhs(sols[2])=y(t)) then VEL:=rhs(sols[2]) else
 POS2:=(rhs(sols[2])) end if:\nif (lhs(sols[3])=x(t)) then POS:=rhs(so
ls[3]) elif (lhs(sols[3])=y(t)) then VEL:=rhs(sols[3]) else POS2:=(rhs
(sols[3])) end if:\nevalf[4](simplify(POS));evalf[4](simplify(VEL));ev
alf[4](POS2):ACC:=diff(VEL,t):evalf[4](simplify(ACC));GS:=ACC/9.8:MAXT
:=(ACC+9.8)*m/1000:\nfPOS :=unapply(POS,t):evalf[10](fPOS(.0)):\nfACC \+
:=unapply(ACC,t):evalf[10](fACC(.0)):\nfVEL :=unapply(VEL,t):evalf[10]
(fVEL(0.0)):\nrnum1:=evalf((5*0.1*((m/kt)^0.5))): rnum2:=evalf((5*0.2*
((m/kt)^0.5))): \nrnum3:=evalf((5*0.3*((m/kt)^0.5))): rnum4:=evalf((5*
0.4*((m/kt)^0.5))): \nrnum5:=evalf((5*0.5*((m/kt)^0.5))): rnum6:=evalf
((5*0.6*((m/kt)^0.5))): \nrnum7:=evalf((5*0.35*((m/kt)^0.5))):\nrnuma1
:=evalf((5*0.01*((m/kt)^0.5))): rnuma2:=evalf((5*0.05*((m/kt)^0.5))): \+
\nrnuma3:=evalf((5*0.1*((m/kt)^0.5))): rnuma4:=evalf((5*0.3*((m/kt)^0.
5))): \nrnuma5:=evalf((5*0.5*((m/kt)^0.5))): rnuma6:=evalf((5*0.6*((m/
kt)^0.5))): \nrnum7:=evalf((5*0.035*((m/kt)^0.5))): \nfPOSvar:=(tt,c1,
c2,c3,c4,w1,tc1,tc2)->c4+(c1*(exp(-tc1*tt))*sin(w1*tt))+(c2*(exp(-tc1*
tt))*cos(w1*tt))+(c3*(exp(-tc2*tt))):\nfVELvar:=(tt,cv1,cv2,cv3,wv1,tc
v1,tcv2)->(cv1*(exp(-tcv1*tt))*sin(wv1*tt))+(cv2*(exp(-tcv1*tt))*cos(w
v1*tt))+(cv3*(exp(-tcv2*tt))):\nfACCvar:=(tt,ca1,ca2,ca3,wa1,tca1,tca2
)->(ca1*(exp(-tca1*tt))*sin(wa1*tt))+(ca2*(exp(-tca1*tt))*cos(wa1*tt))
+(ca3*(exp(-tca2*tt))):\n#fPOSvar(rnum2,c1,c2,c3,c4,w1,tc1,tc2):\nsolA
CC:=fsolve(\{fACCvar(rnuma1,ca1,ca2,ca3,wa1,tca1,tca2)=fACC(rnuma1), f
ACCvar(rnuma2,ca1,ca2,ca3,wa1,tca1,tca2)=fACC(rnuma2), fACCvar(rnuma3,
ca1,ca2,ca3,wa1,tca1,tca2)=fACC(rnuma3), fACCvar(rnuma4,ca1,ca2,ca3,wa
1,tca1,tca2)=fACC(rnuma4), fACCvar(rnuma5,ca1,ca2,ca3,wa1,tca1,tca2)=f
ACC(rnuma5), fACCvar(rnuma6,ca1,ca2,ca3,wa1,tca1,tca2)=fACC(rnuma6)\},
\{ca1=0, ca2=0, ca3=0, wa1=guessw,tca1=guesstc1,tca2=guesstc2\});\nif \+
(lhs(solACC[1])=ca1) then Ca1:=rhs(solACC[1]) elif (lhs(solACC[1])=ca2
) then Ca2:=rhs(solACC[1]) elif (lhs(solACC[1])=ca3) then Ca3:=rhs(sol
ACC[1]) elif (lhs(solACC[1])=tca1) then Tca1:=rhs(solACC[1]) elif (lhs
(solACC[1])=tca2) then Tca2:=rhs(solACC[1]) else Wa1:=(rhs(solACC[1]))
 end if:\nif (lhs(solACC[2])=ca1) then Ca1:=rhs(solACC[2]) elif (lhs(s
olACC[2])=ca2) then Ca2:=rhs(solACC[2]) elif (lhs(solACC[2])=ca3) then
 Ca3:=rhs(solACC[2]) elif (lhs(solACC[2])=tca1) then Tca1:=rhs(solACC[
2]) elif (lhs(solACC[2])=tca2) then Tca2:=rhs(solACC[2]) else Wa1:=(rh
s(solACC[2])) end if:\nif (lhs(solACC[3])=ca1) then Ca1:=rhs(solACC[3]
) elif (lhs(solACC[3])=ca2) then Ca2:=rhs(solACC[3]) elif (lhs(solACC[
3])=ca3) then Ca3:=rhs(solACC[3]) elif (lhs(solACC[3])=tca1) then Tca1
:=rhs(solACC[3]) elif (lhs(solACC[3])=tca2) then Tca2:=rhs(solACC[3]) \+
else Wa1:=(rhs(solACC[3])) end if:\nif (lhs(solACC[4])=ca1) then Ca1:=
rhs(solACC[4]) elif (lhs(solACC[4])=ca2) then Ca2:=rhs(solACC[4]) elif
 (lhs(solACC[4])=ca3) then Ca3:=rhs(solACC[4]) elif (lhs(solACC[4])=tc
a1) then Tca1:=rhs(solACC[4]) elif (lhs(solACC[4])=tca2) then Tca2:=rh
s(solACC[4]) else Wa1:=(rhs(solACC[4])) end if:\nif (lhs(solACC[5])=ca
1) then Ca1:=rhs(solACC[5]) elif (lhs(solACC[5])=ca2) then Ca2:=rhs(so
lACC[5]) elif (lhs(solACC[5])=ca3) then Ca3:=rhs(solACC[5]) elif (lhs(
solACC[5])=tca1) then Tca1:=rhs(solACC[5]) elif (lhs(solACC[5])=tca2) \+
then Tca2:=rhs(solACC[5]) else Wa1:=(rhs(solACC[5])) end if:\nif (lhs(
solACC[6])=ca1) then Ca1:=rhs(solACC[6]) elif (lhs(solACC[6])=ca2) the
n Ca2:=rhs(solACC[6]) elif (lhs(solACC[6])=ca3) then Ca3:=rhs(solACC[6
]) elif (lhs(solACC[6])=tca1) then Tca1:=rhs(solACC[6]) elif (lhs(solA
CC[6])=tca2) then Tca2:=rhs(solACC[6]) else Wa1:=(rhs(solACC[6])) end \+
if:\nappendto(froof);\nprint(`acceleration coefficients 1 2 3 timecons
t1 timeconst2 and omega`);\nCa1; Ca2; Ca3; Tca1; Tca2; Wa1;\nwriteto(t
erminal);\nfPOSvar:=(tt,c1,c2,c3,c4,w1,tc1,tc2)->c4+(c1*(exp(-tc1*tt))
*sin(w1*tt))+(c2*(exp(-tc1*tt))*cos(w1*tt))+(c3*(exp(-tc2*tt))):\nsolP
OS:=fsolve(\{c2+c3+c4=fPOS(0), fPOSvar(rnum2,c1,c2,c3,c4,Wa1,Tca1,Tca2
)=fPOS(rnum2), fPOSvar(rnum3,c1,c2,c3,c4,Wa1,Tca1,Tca2)=fPOS(rnum3), f
POSvar(rnum4,c1,c2,c3,c4,Wa1,Tca1,Tca2)=fPOS(rnum4)\},\{c4=guessc4, c1
=0,c2=0,c3=0\});\nif (lhs(solPOS[1])=c1) then C1:=rhs(solPOS[1]) elif \+
(lhs(solPOS[1])=c2) then C2:=rhs(solPOS[1]) elif (lhs(solPOS[1])=c3) t
hen C3:=rhs(solPOS[1]) elif (lhs(solPOS[1])=c4) then C4:=rhs(solPOS[1]
) end if:\nif (lhs(solPOS[2])=c1) then C1:=rhs(solPOS[2]) elif (lhs(so
lPOS[2])=c2) then C2:=rhs(solPOS[2]) elif (lhs(solPOS[2])=c3) then C3:
=rhs(solPOS[2]) elif (lhs(solPOS[2])=c4) then C4:=rhs(solPOS[2]) end i
f:\nif (lhs(solPOS[3])=c1) then C1:=rhs(solPOS[3]) elif (lhs(solPOS[3]
)=c2) then C2:=rhs(solPOS[3]) elif (lhs(solPOS[3])=c3) then C3:=rhs(so
lPOS[3]) elif (lhs(solPOS[3])=c4) then C4:=rhs(solPOS[3]) end if:\nif \+
(lhs(solPOS[4])=c1) then C1:=rhs(solPOS[4]) elif (lhs(solPOS[4])=c2) t
hen C2:=rhs(solPOS[4]) elif (lhs(solPOS[4])=c3) then C3:=rhs(solPOS[4]
) elif (lhs(solPOS[4])=c4) then C4:=rhs(solPOS[4]) end if:\nappendto(f
roof);\nprint(`position coefficients 1 2 3 4`);\nC1; C2; C3; C4;\nwrit
eto(terminal);\nsolVEL:=fsolve(\{fVELvar(rnum1,cv1,cv2,cv3,Wa1,Tca1,Tc
a2)=fVEL(rnum1), fVELvar(rnum2,cv1,cv2,cv3,Wa1,Tca1,Tca2)=fVEL(rnum2),
 fVELvar(rnum3,cv1,cv2,cv3,Wa1,Tca1,Tca2)=fVEL(rnum3)\},\{cv1=0,cv2=0,
cv3=0\});\nif (lhs(solVEL[1])=cv1) then Cv1:=rhs(solVEL[1]) elif (lhs(
solVEL[1])=cv2) then Cv2:=rhs(solVEL[1]) elif (lhs(solVEL[1])=cv3) the
n Cv3:=rhs(solVEL[1]) end if:\nif (lhs(solVEL[2])=cv1) then Cv1:=rhs(s
olVEL[2]) elif (lhs(solVEL[2])=cv2) then Cv2:=rhs(solVEL[2]) elif (lhs
(solVEL[2])=cv3) then Cv3:=rhs(solVEL[2]) end if:\nif (lhs(solVEL[3])=
cv1) then Cv1:=rhs(solVEL[3]) elif (lhs(solVEL[3])=cv2) then Cv2:=rhs(
solVEL[3]) elif (lhs(solVEL[3])=cv3) then Cv3:=rhs(solVEL[3]) end if:
\nappendto(froof);\nprint(`velocity coefficients 1 2 3 `);\nCv1; Cv2; \+
Cv3;\nwriteto(terminal);\n#viewperiodhalf:=evalf[3](abs(0.5*Pi/Wa1)); \+
viewperiod:=evalf[3](abs(Pi/Wa1)); \n#viewperiod2:=evalf[3](abs(6*Pi/W
a1)): \nviewperiodhalf:=1; viewperiod:=2; viewperiod2:=3;\n\nmanipPOS:
=C4+(C1*(exp(-Tca1*ttt))*sin(Wa1*ttt))+(C2*(exp(-Tca1*ttt))*cos(Wa1*tt
t))+(C3*(exp(-Tca2*ttt)));\nmanipABSPOS:=(abs(C4+(C1*(exp(-Tca1*ttt))*
sin(Wa1*ttt))+(C2*(exp(-Tca1*ttt))*cos(Wa1*ttt))+(C3*(exp(-Tca2*ttt)))
))*(100/l):\nmanipACC:=(1/9.8)*((Ca1*(exp(-Tca1*ttt))*sin(Wa1*ttt))+(C
a2*(exp(-Tca1*ttt))*cos(Wa1*ttt))+(Ca3*(exp(-Tca2*ttt)))):\nmanipT:=((
Ca1*(exp(-Tca1*ttt))*sin(Wa1*ttt))+(Ca2*(exp(-Tca1*ttt))*cos(Wa1*ttt))
+(Ca3*(exp(-Tca2*ttt)))-g)*m*(1/1000);\nmanipABST:=abs(((Ca1*(exp(-Tca
1*ttt))*sin(Wa1*ttt))+(Ca2*(exp(-Tca1*ttt))*cos(Wa1*ttt))+(Ca3*(exp(-T
ca2*ttt)))-g)*m);\nmanipVEL:=(Cv1*(exp(-Tca1*ttt))*sin(Wa1*ttt))+(Cv2*
(exp(-Tca1*ttt))*cos(Wa1*ttt))+(Cv3*(exp(-Tca2*ttt))):\n\nkinfilename:
=cat(\"/mit/custer/maplerope/yowie_presentation/threebounce/kin_M1\", \+
convert(round(M1/1000),string), \"kN_M2\", convert(round(M2/1000), str
ing), \"kN_lam\", convert(round(lamp/1000), string), \"kNs_m\",convert
(m, string),\"kg_l\",convert(evalf(l, 2), string), \"m_ff\", convert(e
valf(ff,2),string), \".ps\");\nplotsetup(cps,plotoutput=kinfilename);
\n\nplot([manipPOS, manipVEL, manipT, manipACC],ttt=0..viewperiod2,-12
..12, title=cat(\"Rope Behavior Kinematics, \", \"M1=\",convert(round(
M1/1000),string), \"kN, M2=\", convert(round(M2/1000), string), \"kN, \+
lam=\", convert(round(lamp/1000), string), \"kNs, m=\",convert(m, stri
ng),\"kg, l=\",convert(evalf(l, 2), string), \"m, ff=\", convert(evalf
(ff,2),string)), labels=[`time (s)`, `T (kN) V (m/s) and Y (m)`]);#sti
ll gotta figure out the offset. it should go to -mg/k or some such...
\n\n\nfposfilename:=cat(\"/mit/custer/maplerope/yowie_presentation/thr
eebounce/fpos_M1\", convert(round(M1/1000),string), \"kN_M2\", convert
(round(M2/1000), string), \"kN_lam\", convert(round(lamp/1000), string
), \"kNs_m\",convert(m, string),\"kg_l\",convert(evalf(l, 2), string),
 \"m_ff\", convert(evalf(ff,2),string), \".ps\"); \nplotsetup(cps,plot
output=fposfilename);\n\nplot([manipABSPOS, manipABST, ttt=0..viewperi
odhalf], 0..50, 0..12000, title=cat(\"Rope Behavior Force vs. %Stretch
, \", \"M1=\",convert(round(M1/1000),string), \"kN, M2=\", convert(rou
nd(M2/1000), string), \"kN, lam=\", convert(round(lamp/1000), string),
 \"kNs, m=\",convert(m, string),\"kg, l=\",convert(evalf(l, 2), string
), \"m, ff=\", convert(evalf(ff,2),string)), labels=[`% Stretch`, `Ten
sion in Rope (N)`]);\n#I'm going to try iteration to ifnd the max stre
tch value. This is stupid, but I can't\n#get Maple to solve for the ro
ot I want....\nbigstretchtime:=0;\nbstset:=0;\nbigTtime:=0; bTtset:=0;
\nbTzerotime:=0; bTzeroset:=0; exitvelocity:=t;\n\nfor i from 1 to 100
0 by 1\n\ndo if \n((C4+(C1*(exp(-Tca1*i*2*viewperiod/1000))*sin(Wa1*i*
2*viewperiod/1000))+(C2*(exp(-Tca1*i*2*viewperiod/1000))*cos(Wa1*i*2*v
iewperiod/1000))+(C3*(exp(-Tca2*i*2*viewperiod/1000)))<C4+(C1*(exp(-Tc
a1*(i+1)*2*viewperiod/(1000)))*sin(Wa1*(i+1)*2*viewperiod/(1000)))+(C2
*(exp(-Tca1*(i+1)*2*viewperiod/(1000)))*cos(Wa1*(i+1)*2*viewperiod/(10
00)))+(C3*(exp(-Tca2*(i+1)*2*viewperiod/(1000))))) \n\nand bstset=0)\n
\nthen \n\nbigstretchtime:=(i+1)*2*viewperiod/(1000); \nbigstretch:=ev
alf(C4+(C1*(exp(-Tca1*i*2*viewperiod/1000))*sin(Wa1*i*2*viewperiod/100
0))+(C2*(exp(-Tca1*i*2*viewperiod/1000))*cos(Wa1*i*2*viewperiod/1000))
+(C3*(exp(-Tca2*i*2*viewperiod/1000))))*(-100/l);\nbstset:=1;\nend if;
\n\nif \n(\n(\n((Ca1*(exp(-Tca1*i*2*viewperiod/1000))*sin(Wa1*i*2*view
period/1000))+(Ca2*(exp(-Tca1*i*2*viewperiod/1000))*cos(Wa1*i*2*viewpe
riod/1000))+(Ca3*(exp(-Tca2*i*2*viewperiod/1000)))-g)*m*(1/1000)\n>\n(
(Ca1*(exp(-Tca1*(i+1)*2*viewperiod/(1000)))*sin(Wa1*(i+1)*2*viewperiod
/(1000)))+(Ca2*(exp(-Tca1*(i+1)*2*viewperiod/(1000)))*cos(Wa1*(i+1)*2*
viewperiod/(1000)))+(Ca3*(exp(-Tca2*(i+1)*2*viewperiod/(1000))))-g)*m*
(1/1000)\n)\nand bTtset=0)\n\nthen \n\nbigTtime:=(i+1)*2*viewperiod/(1
000); \nbigT:=evalf(((Ca1*(exp(-Tca1*(i+1)*2*viewperiod/(1000)))*sin(W
a1*(i+1)*2*viewperiod/(1000)))+(Ca2*(exp(-Tca1*(i+1)*2*viewperiod/(100
0)))*cos(Wa1*(i+1)*2*viewperiod/(1000)))+(Ca3*(exp(-Tca2*(i+1)*2*viewp
eriod/(1000))))-g)*m*(1/1000)\n);\nbTtset:=1;\nend if;\n\nif\n(\n(\n((
Ca1*(exp(-Tca1*i*2*viewperiod/1000))*sin(Wa1*i*2*viewperiod/1000))+(Ca
2*(exp(-Tca1*i*2*viewperiod/1000))*cos(Wa1*i*2*viewperiod/1000))+(Ca3*
(exp(-Tca2*i*2*viewperiod/1000)))-g)*m*(1/1000)\n<\n0\n)\nand bTzerose
t=0)\n\nthen\nbTzeroset:=1;\nbTzerotime:=(i+1)*2*viewperiod/(1000);\ne
xitvelocity:=evalf((Cv1*(exp(-Tca1*bTzerotime))*sin(Wa1*bTzerotime))+(
Cv2*(exp(-Tca1*bTzerotime))*cos(Wa1*bTzerotime))+(Cv3*(exp(-Tca2*bTzer
otime))));\nexitposition:=evalf(C4+(C1*(exp(-Tca1*bTzerotime))*sin(Wa1
*bTzerotime))+(C2*(exp(-Tca1*bTzerotime))*cos(Wa1*bTzerotime))+(C3*(ex
p(-Tca2*bTzerotime))));\nend if;\n\n\n\nend do;\n\n\nappendto(froof);
\n#these are modulus values based on peak force\nMeffT:=(((((bigT*1000
)/(m*9.8))-1)^2)-1)*((m*9.8)/ff);\nweffT:=(MeffT/(l*m))^0.5;\ndeltaT:=
arctan(sqrt((m*9.8)/(2*ff*MeffT)));\nTeffT:=((bigT-(m*0.0098))*sin((we
ffT*ttt)-deltaT))+(m*0.0098);\nabsTeffT:=abs(1000*(((bigT-(m*0.0098))*
sin((weffT*ttt)-deltaT))+(m*0.0098)));\n###veffT is now precise\nveffT
:=-1*(sqrt(v0^2+(m*9.8*9.8*l/MeffT)))*cos((weffT*ttt)-deltaT);\nyeffT:
=((bigT*1000)-(m*9.8))*(l/MeffT)*(-1)*sin((weffT*ttt)-deltaT)-(m*9.8*l
/MeffT);\nabsyeffT:=abs((100/l)*((((bigT-(m*0.0098))*sin((weffT*ttt)-d
eltaT))+(m*0.0098))*1000)/(-1*(MeffT/(l*1))));\n\n#modulus based on st
retch\nMeffS:=(1*m*9.8)*((100/bigstretch)^2)*((2*(bigstretch/100))+ff)
;\nnewowwyTmaxeff:=(1/1000)*MeffS*(bigstretch/100);\nweffS:=(MeffS/(l*
m))^0.5;\ndeltaS:=1.3*arctan(sqrt((m*9.8)/(2*ff*MeffS)));\nTeffS:=((ne
wowwyTmaxeff-(m*0.0098))*sin((weffS*ttt)-(1*deltaS)))+(m*0.0098);\nabs
TeffS:=abs(1000*(((newowwyTmaxeff-(m*0.0098))*sin((weffS*ttt)-deltaS))
+(m*0.0098)));\nyeffS:=(TeffS*1000)/(-1*(MeffS/l));\nabsyeffS:=abs((10
0/l)*((((newowwyTmaxeff-(m*0.0098))*sin((weffS*ttt)-deltaS))+(m*0.0098
))*1000)/(-1*(MeffS/(l*1))));\nwriteto(terminal);\ntensfilename:=cat(
\"/mit/custer/maplerope/yowie_presentation/threebounce/3tens_M1\", con
vert(round(M1/1000),string), \"kN_M2\", convert(round(M2/1000), string
), \"kN_lam\", convert(round(lamp/1000), string), \"kNs_m\",convert(m,
 string),\"kg_l\",convert(evalf(l, 2), string), \"m_ff\", convert(eval
f(ff,2),string), \".ps\"); \nplotsetup(cps,plotoutput=tensfilename);\n
\nplot([manipT, TeffT, TeffS],ttt=0..viewperiod2,-12..12, title=cat(\"
Rope Behavior Kinematics, \", \"M1=\",convert(round(M1/1000),string), \+
\"kN, M2=\", convert(round(M2/1000), string), \"kN, lam=\", convert(ro
und(lamp/1000), string), \"kNs, m=\",convert(m, string),\"kg, l=\",con
vert(evalf(l, 2), string), \"m, ff=\", convert(evalf(ff,2),string)), l
abels=[`time (s)`, `T (kN)`]);#still gotta figure out the offset. it s
hould go to -mg/k or some such...\n\nspringkinfilename:=cat(\"/mit/cus
ter/maplerope/yowie_presentation/threebounce/springkin_M1\", convert(r
ound(M1/1000),string), \"kN_M2\", convert(round(M2/1000), string), \"k
N_lam\", convert(round(lamp/1000), string), \"kNs_m\",convert(m, strin
g),\"kg_l\",convert(evalf(l, 2), string), \"m_ff\", convert(evalf(ff,2
),string), \".ps\"); \nplotsetup(cps,plotoutput=springkinfilename);\n
\nplot([TeffT, yeffT, veffT],ttt=0..viewperiod2,-12..12, title=cat(\"R
ope Behavior Kinematics, \", \"M1=\",convert(round(M1/1000),string), \+
\"kN, M2=\", convert(round(M2/1000), string), \"kN, lam=\", convert(ro
und(lamp/1000), string), \"kNs, m=\",convert(m, string),\"kg, l=\",con
vert(evalf(l, 2), string), \"m, ff=\", convert(evalf(ff,2),string)), l
abels=[`time (s)`, `T (kN) V (m/s) and Y (m)`]);#still gotta figure ou
t the offset. it should go to -mg/k or some such...\n\n\n#spoinktime:=
fsolve((Ca1*(exp(-Tca1*zzz))*sin(Wa1*zzz))+(Ca2*(exp(-Tca1*zzz))*cos(W
a1*zzz))+(Ca3*(exp(-Tca2*zzz)))=0, zzz=viewperiod);\nappendto(froof);
\n#vexit:=evalf(subs(ttt=spoinktime, manipVEL));\nprint(`% energy loss
 during first bounce`); eloss:=100-(100*(exitvelocity^2)/(v0^2)):\n#ev
alf[3](eloss);\nwriteto(terminal);\n#owwytime:=fsolve((Cv1*(exp(-Tca1*
ttt))*sin(Wa1*ttt))+(Cv2*(exp(-Tca1*ttt))*cos(Wa1*ttt))+(Cv3*(exp(-Tca
2*ttt))), ttt);\n#owwyPOSmax:=evalf(subs(ttt=owwytime, manipPOS));\n#a
ppendto(froof);\n#percstrch:=abs(100*(owwyPOSmax/l));\n#owwyTtime2:=fs
olve(diff(((Ca1*(exp(-Tca1*ttt))*sin(Wa1*ttt))+(Ca2*(exp(-Tca1*ttt))*c
os(Wa1*ttt))+(Ca3*(exp(-Tca2*ttt)))-g)*m*(1/1000), ttt));\n#owwyTtime:
=fsolve(diff(((Ca1*(exp(-Tca1*ttt))*sin(Wa1*ttt))+(Ca2*(exp(-Tca1*ttt)
)*cos(Wa1*ttt))+(Ca3*(exp(-Tca2*ttt)))-g)*m*(1/1000), ttt), ttt, 0.01.
.viewperiod);\n#owwyTmax:=evalf(subs(ttt=(owwyTtime), manipT));\n\napp
endto(froof);\nprint(`time max T`);\nbigTtime;\nprint(`max T`);\nbigT;
\nprint(`max stretch (%)`);\nbigstretch;\nprint(`time max stretch`);\n
bigstretchtime;\nprint(`exit velocity`);\nexitvelocity;\nprint(`exit p
osition`);\nexitposition;\nprint(`time of exit`);\nbTzerotime;\njerk:=
bigT/bigTtime;\n\nwriteto(terminal);\n\nend do\nend do\nend do;" }}
{PARA 0 "" 0 "" {TEXT -1 1 "\n" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" 
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11 "" 1 "" {XPPMATH 20 "6#>%$Ca1G\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#>%$Ca2G\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$Ca3G\"\"!" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%Tca1G\"\"!" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%%Tca2G\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$Wa1
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{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#k1G$\"5+++++++]i:!#:" }}{PARA 11 "
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{XPPMATH 20 "6#>%#a1G$\"5++++++]7`>!#<" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#>%#a2G$\"5nmmmmmmmm6!#=" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#a3
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{PARA 11 "" 1 "" {XPPMATH 20 "6#>%)guesstc2G$\"5^fB'GY)3JL=!#=" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"5^fB'GY)3JL=!#=" }}{PARA 11 "" 1 "
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{XPPMATH 20 "6#>%(guessc4G$!5ud8Ojo&p)z8!#?" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#>%%sys1G6%/-%%diffG6$-%\"xG6#%\"tGF--%\"yGF,/-F(6$F.F-,
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" 1 "" {XPPMATH 20 "6#>%*solsprintG<%/-%\"yG6#%\"tG,(*($\"&1g#!\"%\"\"
\"-%$cosG6#,$*&$\"&c,\"!\"$F0F*F0F0F0-%$expG6#,$*&$\"&x`$F/F0F*F0!\"\"
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lT$F.F`oF.F;F1F.*(\"jp+++++++!)y,G/.@mMi;,L=wb_l.X3r.5bS>9Nb)*>^^;weT&
eWF.F6F.F;F1F)*&\"`sh^`'=*\\pnL%Hq\"*)>DV'oo_bq!fF:f,OiP?fMpo(3\"G'Q>Y
X$HPv@P(HtP\"p\"R%eU^KEX'*e$yPFF.F6F.F.\"ct6Jx.U#ee'3'p#4+&4aXiM+Cle;=
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{XPPMATH 20 "6#,*$\"%!Q\"!\"%!\"\"*&$\"%Y]!\"&\"\"\"-%$expG6#,$*&$\"%E
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1 "" {XPPMATH 20 "6#,(*($\"%+E!\"$\"\"\"-%$expG6#,$*&$\"%QNF'F(%\"tGF(
!\"\"F(-%$cosG6#,$*&$\"%;5!\"#F(F0F(F(F(F1*&$\"%2d!\"%F(-F*6#,$*&$\"%E
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{XPPMATH 20 "6#,*$\"%\"y)!\"&!\"\"*($\"%iKF&\"\"\"-%$sinG6#,$*&$\"%;5!
\"#F+%\"tGF+F'F+-%$expG6#,$*&$\"$a$F3F+F4F+F'F+F+*($\"%3<!\"%F+-%$cosG
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1 "" {XPPMATH 20 "6#,(*&$\"%6k!\"$\"\"\"-%$expG6#,$*&$\"%E6!\"#F(%\"tG
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{XPPMATH 20 "6#>%#GSG,(*($\"5]xio5?JAZ7!$7#\"\"\",&*(,.**\"`r++++++++]
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