Figure shows three forces F ₁, F ₂ and F ₃ acting along the sides of an equilateral triangle. If the total torque acting at point ' 0 ' (centre of the triangle) is zero then the magnitude of F ₃ is

Step-by-step solution

The perpendicular distance of point O from the sides AB or BC or AC will be same (say r). Torque will be zero if total moment of force about point O is zero Hence rF ₁+ rF ₂- rF ₃=0 F ₃= F ₁+ F ₂=(4+2) N -6 ~N