‘O’ is the centre of an equilateral triangle ABC. F₁, F₂ and F₃ are three forces acting along the sides AB, BC and AC as shown in figure. What should be the magnitude of F₃, so that the total torque about ‘O’ is zero ?

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$2 (F_{1} + F_{2})$

$\frac{F_{1} + F_{2}}{2}$

$(F_{1} + F_{2})$

$(F_{1} - F_{2})$

answer is C.

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Detailed Solution

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Total Torque = 0
Clockwise torque = Anticlockwise torque
F₃x = F₁x + F₂x; F₃ = F₁ + F₂
Here, x = distance of each side from the centre O.

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