Q.

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)
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