Question

In the figure shown, if the system is in equilibrium, then the value of M is


1. m
2. √2m
3. 2m
4. m/√2​

Answer 1

2m

Mg= mg+ mg

Mg= g(m+m)

M= m+m

M= 2m

Answer 2

A system of 2 pulleys and 3 masses have been provided.

Let tension in each wire be T :

• T = mg.

Now, we will consider the cos component of the tension which is holding up the Mass M.

$T \cos( {60}^{ \circ} ) + T \cos( {60}^{ \circ} ) = Mg$

$\implies 2T \cos( {60}^{ \circ} ) = Mg$

$\implies 2mg \cos( {60}^{ \circ} ) = Mg$

$\implies 2mg \times \dfrac{1}{2} = Mg$

$\implies mg = Mg$

$\implies M = m$

So, value of M is m.