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ABC is an equilateral triangle with O as its centre. F→1,F→2 and F→3 represent three forces acting along the sides AB, BC and AC respectively. If the total torque about O is zero then the magnitude of F→3 is :

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a

F1+F22

b

2(F1 + F2)

c

(F1 + F2)

d

(F1 - F2)

answer is C.

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Detailed Solution

Στ0=0⇒F1+F2d=F3d⇒F3=F1+F2

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ABC is an equilateral triangle with O as its centre. F→1,F→2 and F→3 represent three forces acting along the sides AB, BC and AC respectively. If the total torque about O is zero then the magnitude of F→3 is :