A right circular cone of uniform density is hung from the ceiling by two vertical strings and as shown.
The axis of the cone is parallel to the horizontal.
Which string will have a greater tension?
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The summation of both the tensions would be mg, that doesn't mean that each would be equal to mg/2.
Since the COM of the cone will be closer to the base, and that the torque should be balanced about the COM, the tension in B will have to be greater, as it is present at a shorter distance. ( Torque = Force × Perpendicular Distance of point of application )