1.

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 the figure. What should be the magnitude of F_(3), so that the total torque about O is

Answer»

`(F_(1)+F_(2))`
`2(F_(1)+F_(2))`
`(F_(1)+F_(2))//2`
`(F_(1)-F_(2))`

Solution :Let x be the DISTANCE to POINT O of the equilateral triangle from each side. Total torque about O.
`=F_(1)x+F_(2)x-F_(3)x=0`
or `F_(1)+F_(2)=F_(3)`


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