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a
β
(a)
Using MATLAB and symbolic
integration, determine the x and
ycoordinate of the location of the
centroid of a sector of a circle of
radius a and angle
β
.
(b)
(b) Show that your results reduce
to the welltabulated values for a
quarter of a circular area (
β
=
π
/2) and a half of a circular area
(
β
=
π
).
x
y
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View Full Document>> syms r t a b
>> I = int( r,r , 0 , a)
I =
a^2/2
>> A =int(I, t, 0 ,b)
A = (a^2*b)/2
>> I1 = int(r^2*cos(t),r,0,a)
I1 = (a^3*cos(t))/3
>> xA =int(I1, t, 0, b)
xA=
(a^3*sin(b))/3
>> xc = xA/A
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 Fall '08
 Boylan

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