Cone hung by two strings

A right circular cone of uniform density is hung from the ceiling by two vertical strings A A and B , B, as shown.

The axis of the cone is parallel to the horizontal.

Which string will have a greater tension?

String A A String B B Both strings have equal tension

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1 solution

Parth Sankhe
Oct 22, 2018

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 )

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