A string of negligible mass going over a c

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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

A

$\sqrt 2 Mg$

B

$\sqrt 2 mg$

C

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

D

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

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

Force on the pulley by the clamp

${F_{pc}} = \sqrt {{T^2} + {{[(M + m)g]}^2}} $

${F_{pc}} = \sqrt {{{(Mg)}^2} + {{[(M + m)g]}^2}} $

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