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(Solved): a) What is the moment of inertia IY in in4 of the triangular area segment with respect to the y-ax ...
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?
Expert Answer
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 )