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Q.

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

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a

F1+F22

b

F1-F2

c

F1+F2

d

2(F1+F2)

answer is C.

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Detailed Solution

For total torque about O to be zero,F1r+F2r-F3r=0⇒    F3=F1+F2
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O is the centre of an equilateral triangle ABC. F1 , F2 and F3 are three forces acting along the sides AB, BCand AC respectively as shown in figure.What should be the magnitude of  F3, so that the total torque about O is zero?