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A uniform rod of weight W is free to rotate about a hinge at one end. The hinge is fixed to a wall.

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A uniform rod of weight W is free to rotate about a hinge at one end. The hinge is fixed to a wall. If the rod is released from a horizontal position, what force will it exert on the hinge just after being released? 

(a) W 

(b) W/2 

(c) W/3 

(d) W/4

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Correct Answer is: (d) W/4

v = √(2gH). F = ρsv2 where s = area of cross-section of the hole.

∴ F = ρs(2gH) ∝ H.

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