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
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a
2λω2R2
b
(λω2R2)/2
c
λω2R2/8
d
λω2R2
answer is A.
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Detailed Solution
Consider an element of length (Δl).2Tsinθ=(2λ)(Δl)⋅ω2R2T⋅(Δl)2R=(2λ)(Δl)(ω2)(R)T=(2λω2R2)