First slide
Potential energy
Question

A ring of linear mass density 2λ  and radius R is rotated about its axis passing through its centre and perpendicular to plane of ring with constant angular speed ‘ω ’. The tension in the ring is 

Easy
Solution

Consider an element of length  (Δl).

2Tsinθ=(2λ)(Δl)ω2R

2T(Δl)2R=(2λ)(Δl)(ω2)(R)

T=(2λω2R2)

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