Question: A uniform rectangular plate has mass m and sides of lengths a and b. (a) Show by integration that the moment of inertia of the

A uniform rectangular plate has mass m and sides of lengths a and b. 

(a) Show by integration that the moment of inertia of the plate about an axis that is perpendicular to the plate and passes through one corner is m(a2 + b2)/3. 

(b) What is the moment of inertia about an axis that is perpendicular to the plate and passes through its center of mass?

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