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Q.

ABC is an equilateral triangle with O as its centre. F1, F2 and F3 represent three forces acting along the sides AB, BC and AC respectively. If the total torque about O is zero then the magnitude of F3 is 

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a

2(F1+F2)

b

F1 + F2

c

F1 - F2

d

F1+F22

answer is B.

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Detailed Solution

Taking torque about O, net torque should be zero.

F2 × x-F3×x+F1×x = 0

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F3 = F1+F2

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ABC is an equilateral triangle with O as its centre. F1→, F2→ and F3→ represent three forces acting along the sides AB, BC and AC respectively. If the total torque about O is zero then the magnitude of F3→ is