theselectio
ofthesweetspot
6Refere
ces
Thesweetspotofabaseballbat1HBrody“Thesweetspotofabaseballbat”PhysicsDepartme
tU
iversityofPe
sylva
iaPhiladelphiaPe
sylva
ia191042Ala
MNatha
“Dy
amicsofthebaseballbatcollisio
”Departme
tofPhysicsU
iversityofIlli
oisatUrba
aChampaig
Urba
aIlli
ois618013RCross“Thebou
ceofaball”AmJPhys672222274LLVa
Za
dt“Thedy
amicaltheoryofthebaseballbat”AmJPhys601721815RobertKAdair“ThephysicsofBaseballHarperColli
sNewYork1994”2
dpp717
10
fTeam6336
Page11of13
7Appe
dixWeordertwoMatlabProgramwhichisusedtocalculatethee
ergytra
sferredtothebat1Mai
fu
ctio
globalrhoule
gth1cross1EIx0f0dtdxParameteri
putrhoumassde
sitycross1areaofthecrosssectio
Le
gth1le
gthEIYou
gmodx0positio
ofthecollisio
f0forcedtduratio
ofthecollisio
dxi
tervalofthecollisio
rhou056le
gth134cross13847f0100000dt0001dx1m100
100mm20
solvi
gpartialdiffere
tialequatio
st1li
space0dtmx1li
space0le
gth1
bate
ergyzeros1mmEI11108fori1mmx0le
gth1immtoutyoutode23batfu
0dtzeros41y1spli
etoutyout1t1y2spli
etoutyout3t1txmeshgridt1x1y1xmeshgridy1x1y2xmeshgridy2x1yyx3y1x4le
gth13y2xle
gth12e
ergyo
thebatytyyyt1zeros1
yt2e
ddiffyyt12t11y2xyyy2x1zerosm1y2xe
dzerosm1
11
fTeam6336
Page12of13
y2x2
1diffyy22x12x112ffrhoucross1yt22EIy2x22bate
ergyitrapzx1ffe
de
dxxle
gth14mm4mmplotxxbate
ergy4mm4textxxbate
ergy4mm4woodholdo

EI69108rhou27fori1mmx0le
gth1immtoutyoutode23batfu
0dtzeros41y1spli
etoutyout1t1y2spli
etoutyout3t1txmeshgridt1x1y1xmeshgridy1x1y2xmeshgridy2x1yyx3y1x4le
gth13y2xle
gth12e
ergyo
thebatytyyyt1zeros1
yt2e
ddiffyyt12t11y2xyyy2x1zerosm1y2xe
dzerosm1y2x2
1diffyy22x12x112ffrhoucross1yt22EIy2x22bate
ergyitrapzx1ffe
de
dplotxxbate
ergy4mm4rxlabelplaceofcollisio
ylabelE
ergy
12
fTeam6336
Page13of13
2Subprogram
fu
ctio
ffu
ctyglobalrhoule
gth1cross1EIx0f0dtdxAA10000790rhoucross1le
gth1604315rhoucross1le
gth17001004315rhoucross1le
gth170rhoucross1le
gth18280BBy220EIle
gth12y112f0dx2x0dx8le
gth13y4EI8y1le
gth136y3le
gth14dx3f03x0le
gth123dxx0le
gth1r