$A B C$ is an equilateral triangle with $O$ as its centre. $\mathrm{F}_1, \mathrm{~F}_2$ and $\mathrm{F}_3$ represent three forces acting along the sides $A B, B C$ and $A C$ respectively. If the total torque about $O$ is zero then the magnitude of $\mathrm{F}_3$ is

Question

Aicharya · Accepted Answer

Given: Net torque about O is $=0$ $\begin{aligned} & \left(\tau_1+\tau_2-\tau_3\right)=0 \ & \Rightarrow\left(F_1+F_2-F_3\right) R=0 \ & \therefore F_3=F_1+F_2 \end{aligned}$ .

$A B C$ is an equilateral triangle with $O$ as its centre. $\mathrm{F}_1, \mathrm{~F}_2$ and $\mathrm{F}_3$…

Solution