Question

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. $g\left[\sqrt{(M+m{)}^2+m^2}\right]$
• D. $g\left[\sqrt{(M+m{)}^2+M^2}\right]$

Answer 1

The correct option is D $g\left[\sqrt{(M+m{)}^2+M^2}\right]$

F.B.D of pulley

$F_1=(m+M)g$
The resultant force on pulley is $F=\sqrt{F_1^2+T^2}$
$F=\left[\sqrt{(m+M{)}^2+M^2}\right]g$