ABC is an equilateral with O as its centre `vecF_(1), vecF_(2)` and `vecF_(3)` represent three forces acting along the sides AB, BC and AC respectively. If the total torque about O is zero then the magnitude of `vecF_(3)` is :

Options

A. `F_(1) + F_(2)`
B. `F_(1)- F_(2)`
C. `(F_(1) + F_(2))/(2)`
D. `2(F_(1) + F_(2))`

Answer

A

Explanation

For rotational equilibrium – `F_(1) x + F_(2) x = F_(3) x rArr F_(3) = F_(1) + F_(2)`