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A thin circular plate of mass M and radi...

A thin circular plate of mass M and radius R has its density varying as `rho(r)=rho_(0)r` with `rho_0` as constant and r is the distance from its center. The moment of Inertia of the circular plate about an axis perpendicular to the plate and passing through its edge is `I = aMR^(2)` The value of the coefficient a is :

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