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a) What is the moment of inertia IY in in4 of the triangular area segment with respect to the y-axis?

b) What is the moment of inertia IY in in4 of the quarter circle with respect to the y-axis?

c) What is the moment of inertia IY in in4 of the composite area with respect to the y-axis?

a

moment of inertia of triangular segment about centroidal axis parallel to y-axis

= = = 60 in4

area of triangle = bh = (6) ( 10 ) = 30

moment of inertia of triangular segment about y-axis

= moment of inertia of triangular segment about centroidal axis parallel to y-axis

+ area ( distance between y-axis and centroidal axis parallel to y-axis )2

= 60 + 30 ( 6 * 2 /3 )2 = 30 ( 42 )