1.

The M.I. of a solid cylinder about its axis is I. It is allowed to rool down an incline plane without slipping. If its angular velocity at the bottom be `omega`, then kinetic energy of rolling cylinder will beA. `I omega^(2)`B. `(3)/(2)I omega^(2)`C. `2 I omega^(2)`D. `(1)/(2)I omega^(2)`

Answer» Correct Answer - B
`K E_("Roll")=(1)/(2)I omega^(2)+(1)/(2)mv^(2)=(1)/(2)I omega^(2)+(1)/(2) mr^(2)omega^(2)`
`= (1)/(2) I omega^(2)+I Omega^(2)=(3)/(2)I omega^(2)`


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