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A string of negligible mass going over a clamped pulley of mass ‘m’ supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given by:

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$\sqrt{2} M g$

$\sqrt{2} m g$

$(\sqrt{{(M + m)}^{2} + m^{2}}) g$

$(\sqrt{{(M + m)}^{2} + M^{2}}) g$

answer is D.

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Detailed Solution

Two forces act on the pulley, the force T = mg acts horizontally and the force (M + m)g acts vertically. The resultant force on the pulley is : $= (\sqrt{{(M + m)}^{2} + M^{2}}) g$

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