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QAIPM-2012-Ph-1751: NEET 2012 Physics - Class 11 AIPM-2012-Ph-1751 Solution: ABC is an equilateral triangle with O as its centre. \( {F}_1,…

ABC is an equilateral triangle with O as its centre.

\vec{F}_1, \vec{F}_2

and

\vec{F}_3

represent three forces acting along the sides AB, BC and AC respectively. If the total torque about O is zero then magnitude of

\vec{F}_3

Step-by-Step Verified Solution

Let x be the distance of centre O of equilateral triangle from each side. Total torque about O = 0 _ F 1 x + F 2 x � F 3 x = 0 or F 3 = F 1 + F 2