A ring of mass m and radius R is rolling with constant velocity v on a horizontal surface. Young's modulus of material of ring is y and crosssectional area of the wire by which ring is made is A.
Change in radius of the ring due the its motion is :-

Question

A ring of mass m and radius R is rolling with constant velocity v on a horizontal surface. Young's modulus of material of ring is y and crosssectional area of the wire by which ring is made is A.

Change in radius of the ring due the its motion is :-

TestHub · Accepted Answer

​ y = ( ℓ Δ ℓ ​ ) A T ​ ​ = ( 2 π R 2 π ⋅ Δ R ​ ) A T ​ ​ ​ ⇒ Δ R = yA T ​ ⋅ R ​ = 2 R π mv 2 ​ × yA R ​ ​ Δ R = 2 π yA mv 2 ​ ​

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