A uniform rectangular plate has mass m and sides of lengths a and b. (a) Show by
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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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a The element of mass is dxdy where m ab The distance of the element dm from ...View the full answer
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