Then just after release of block from this position, the magnitude of reaction exerted by hinge on the rod is (A) 3m

Question

Uniform rod AB is hinged at the end A in a horizontal position as shown in the figure (the hinge is frictionless, that is, it does not exert any friction force on the rod). The other end of the rod is connected to a block through a massless string as shown. The pulley is smooth and massless. Masses of the block and the rod are same and are equal to 'm'.

Then just after release of block from this position, the magnitude of reaction exerted by hinge on the rod is

(A) 3mg/16

(B) 5mg/16

(C) 9mg/16

(D) 7mg/16

Answer 1

Correct option (C)

Explanation:

Let α be the angular acceleration of rod and a be acceleration of block just after its release.