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O is the centre of an equilateral triangle ABC. F→1,F→2 and F→3 are three forces acting along the sides AB, BC and AC as shown in figure. What should be the magnitude of F→3so that total torque about O is zero

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a

F→3=F→1+F→2

b

F→3=F→1−F→2

c

F→3=F→1+2F2→

d

Not possible

answer is A.

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Detailed Solution

Total torque about O =F→1d+F→2d−F→3d=0⇒F→3=F→1+F→2

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O is the centre of an equilateral triangle ABC. F→1,F→2 and F→3 are three forces acting along the sides AB, BC and AC as shown in figure. What should be the magnitude of F→3so that total torque about O is zero