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 magni

Question

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

TestHub · Accepted Answer

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

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