The figure shows a system consisting of (i) a ring the outer radius 3R rolling clockwise without slipping on a horizontal surface with angular speed `omega` and (ii) an inner disc of radius 2R rotating anti clockwise with angular speed `omega//2.` The ring and disc are separted. The point P on the inner disc is at a distance R from the origin, where OP makes an angle of `30^@` with the horizontal. Then with respect to the horizontal surface,A. the point O has a linear velocity `3R omega hat(i)`.B. the point P has a linear velocity `(11)/(4) R omega hat(i)+(sqrt(3))/(4)R omega hat(k)`.C. the point P has a linear velocity`(13)/(4) R omegahat(i)-(sqrt(3))/(4)R omega hat(k)`.D. the point P has a linear velocity `(3-(sqrt(3))/(4))R omega hat(i)+(1)/(4)R omega hat(k)`.

The figure shows a system consisting of (i) a ring the outer radius 3R

1.	The figure shows a system consisting of (i) a ring the outer radius 3R rolling clockwise without slipping on a horizontal surface with angular speed `omega` and (ii) an inner disc of radius 2R rotating anti clockwise with angular speed `omega//2.` The ring and disc are separted. The point P on the inner disc is at a distance R from the origin, where OP makes an angle of `30^@` with the horizontal. Then with respect to the horizontal surface,A. the point O has a linear velocity `3R omega hat(i)`.B. the point P has a linear velocity `(11)/(4) R omega hat(i)+(sqrt(3))/(4)R omega hat(k)`.C. the point P has a linear velocity`(13)/(4) R omegahat(i)-(sqrt(3))/(4)R omega hat(k)`.D. the point P has a linear velocity `(3-(sqrt(3))/(4))R omega hat(i)+(1)/(4)R omega hat(k)`.
Answer» Correct Answer - A::B

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