batisthemi
imumThusthee
ergytra
sferredtothebaseballisthemaximumThesweetspotis
otatthee
dofthebat
3TheCorki
geffect
Abathollowi
goutacyli
deri
theheadofthebata
dfilli
gitwithcorkorrubberca
beviewedasahollowbattosomeexte
tSothecrosssectio
Aa
dmome
tofi
ertiaIwillbediffere
twiththesolidwoodbatI
thefollowi
gdiscussio
wehavemadesomerealitybasedassumptio
sthat1WesupposethattheradiusofthebaseballbatisR28cmThusthesquareofcrosssectio
A25cm22I
thecaseofthehollowbattheouterradiusisR28cma
dthei
erradiusofthebatisco
sideredtober24cmThusthesquareofcrosssectio
A65cm2
7
fTeam6336
Page8of13
3Forsolidbatsmome
tofi
ertiaI
44IRr
R4
4
whileforhollowbatsmome
tofi
ertia
4
Substituteabovedatai
totheequatio
34
amelyE
ergytra
sferredtothebat
K
A
2

L
0
EIL2yydxdx20x2t
2
2
Themecha
icmodeloftheca
tilever
A
2y4yEI4ft2x
Usethesamemethodwedoi
theaboveweca
getthee
ergytra
sferredtothebarofbothcorki
gbata
dsolidbatCompari
gthesetwoKvaluewewillfi
dthatthetwofu
ctio
alimagesarealmostthesameasisshow
i
figure4Thismea
sthatcorki
gbathaslittleeffecto
thee
ergylossofthecollisio

Figure4
8
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4Materiali
flue
ce
I
ordertodiscussthei
flue
ceofthematerialoutofwhichthebatisco
structedweusesomeparameteri
fobasedo
realcasewhichisgive
i
thefollowi
gThecompariso
ofthewoodbata
dthealumi
umbat
MaterialWoodAlumi
um
De
sitygcm30627
You
gmoduluspsi150000010000000
Bycalculati
gthesumofthee
ergytra
sferredtothebati
bothcaseswehaveco
cludedthattheimpactofthematerialofthebatissig
ifica
tthealumi
umbatca
reducethelossofthee
ergyduri
gthecollisio
moreeffectivelytha
thewoodbatasca
beobservedi
figure5
Figure5
9
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5Summary
Theco
fusi
gproblemthatwhyis
’tthesweetspotatthee
dofthebatca
beexplai
edclearlybythemodelwefi
dthatvibratio
splaymajorrolei
e
ergylossa
dthuswebuildourmodeltofi
dthesweetspotusi
gthek
owledgeofthemecha
icmodeloftheca
tileverA
dbyusi
gtheco
servatio
theorya
ddiffere
ceequatio
weareabletofi
dthee
ergylossi
everylocatio
sofbaseballbata
dfi
dtheleaste
ergylosslocatio
sweetspotI
thecaseofthecorki
gbatwefi
dthecorki
geffectisti
yHoweverpredictedbyourmodelthecha
geofthematerialca
affectthee
ergylossduri
gthecollisio
Ourfi
di
gsarelimitedbytheassumptio
sofourmodelWeig
oredsomefactorswhichmayalsohaveimpactso
r