A string of negligible mass going over a clamped pulley of mass m supports a block of mass M…

Q: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

Numerical

(a) $\large \sqrt{2} M g$

(b)$\large \sqrt{2} m g$

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

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

Ans: (d)

Let T = tension in the string

Downward force acting on the Pulley = T + mg

Force on leftward = T

Here , T = Mg

Net force $\large = \sqrt{(Mg +mg)^2+(Mg)^2}$