A string of negligible mass going over a clamped pulley of m... | Physics | SolveeIt | Solveeit

Today, August 23

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

$\sqrt{4}$ $mg$

C

$\sqrt{\left(M+m\right)+m} \,g$

D

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

Answer

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

Explanation

Solution

Weight of the pulley $mg$ acts downwards. Weight of the block $Mg$ acts downwards.
Total downward force
$F_{1}$ $=\left(m+M\right)g$