A rod P Q of mass M and length L is hinged at end P . The rod is kepts horizontal by a massless string tied to point Q as shown in figure. When string is cut, the initial angular acceleration of the rod is

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Correct answer: A. (3 g)/(2 L)

Torque on the rad = Mament of weight of the rod about =m g (1)/(2) Moment of inertia of rod about P=(M L^2)/(3) As =1 α From Eqs. (i) and (ii), we get aligned & M g (L)/(2)=(M L^2)/(3) α α & =(3 g)/(2 L) aligned

A rod P Q of mass M and length L is hinged at end P . The rod is...

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