Question

In the figure shown, find the tension $T$ in the string if the system is in equilibrium.

• A. $\frac{Mg}{2}$
• B. $\frac{Mg}{4}$
• C. $\frac{Mg}{3}$
• D. $Mg$

Answer 1

The correct option is C $\frac{Mg}{3}$

Free body diagram of block of mass $M$ and pulley is as shown.

From condition of equillibium, we have
$T+T^{\prime }=Mg$
And, $T^{\prime }=2T$
$⟹T=\frac{Mg}{3}$