A ring of mass m and radius R is rolling on a horizontal plane. If the ring suddenly starts rotating about its diameter, then its angular velocity in this will beA. `(V)/( R)`B. `(2V)/( R)`C. `(V)/(2R)`D. `sqrt2(V)/( R)`

A ring of mass m and radius R is rolling on a horizontal plane. If the

1.	A ring of mass m and radius R is rolling on a horizontal plane. If the ring suddenly starts rotating about its diameter, then its angular velocity in this will beA. `(V)/( R)`B. `(2V)/( R)`C. `(V)/(2R)`D. `sqrt2(V)/( R)`
Answer» Correct Answer - B `KE_("roll")=KE_("rot")` `(1)/(2)mv^(2)(1+(k^(2))/(R^(2)))=(1)/(2)m omega^(2)` `mv^(2)(1+(k^(2))/(R_(2)))=(mR^(2))/(4)omega^(2)` `omega =(2v)/(R )`

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A ring of mass m and radius R is rolling on a horizontal plane. If the ring suddenly starts rotating about its diameter, then its angular velocity in this will beA. `(V)/( R)`B. `(2V)/( R)`C. `(V)/(2R)`D. `sqrt2(V)/( R)`

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