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In: Civil Engineering

A quarter circle of radius 100 mm lies on Quadrant II of a coordinate plane with...

A quarter circle of radius 100 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 25 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 III.
a. What is the moment of inertia (m4) of the composite area with respect to the x-axis at point O?
b. What is the moment of inertia (m4) of the composite area with respect to the y-axis at point O?
c. What is the polar moment of inertia (m4) of the composite area?
d. What is the centroidal moment of inertia (m4) of the composite area?
e. What is the radius of gyration (mm) of the composite area with respect to its
centroid?

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Expert Solution

Ally Wells answered 1 month ago
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