Rotational MotionHard

Question

A non uniform rod OA of liner mass density λ = λ0x (λ0 = co nst.) is suspended from ceiling with hinge joint O & light string as shown in figure. Find the angular acceleration of rod just after the string is cut
                                    

Options

A.
B.
C.
D.None of these

Solution

Centre of mass of the rod
= C.M. from ′O′ =
∴ C.M. = L from O
Moment of inertia about O is
I =
                     
∴ Angular acceleration

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