Question

A quarter circle of radius 432 mm lies on Quadrant II of a coordinate plane with...

A quarter circle of radius 432 mm lies on Quadrant II of a coordinate plane with reference radius at the origin. A rectangle is attached to the quarter circle at Quadrant I with base at the x-axis of width equal to 14.2 mm and height same as the radius of the quarter circle. Another rectangle with inverse dimension as the previous is attached to the quarter circle at Quadrant II.

a. What is the moment of inertia (m^4) of the composite area with respect to the x-axis at point O?
b. What is the moment of inertia (m^4) of the composite area with respect to the y-axis at point O?
c. What is the polar
moment of inertia (m^4) of the composite area?
d. What is the centroidal moment of inertia (m^4) of the composite area?
e. What is the radius of gyration (mm) of the composite area with respect to its centroid?

NOTE: Please store values if it is not the final answer. Final answers are in 4 decimal places

there is no figure provided. and its 432mm

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