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A ring of mass m and radius R is placed ...

A ring of mass `m` and radius `R` is placed on a rough horizontal surface (co-efficient of friction `mu`) with velocity of `C.M. v_(0)` and angular speed `(2V_(0))/(R )` as shown in figure. Initially the ring is rolling with slipping but attains pure rolling motion after some time `t`. Then

A

After time `t`, the ring is moving rightward with angular speed `(V_(0))/(2R)`

B

After time `t`, the ring is moving leftward with angular speed `(3V_(0))/(2R)`

C

`t=(V_(0))/(2mu g)`

D

`t=(3V_(0))/(2mu g)`

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Knowledge Check

  • A cylinder is rolling towards a cube of same mass on rough horizontal surface ( coefficient of friction = mu ) with velocity v_(0) as shown in figure. Assume elastic collision and friction is negligible between cube and cylinder. Then after collision

    A
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    B
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    C
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    A
    `1//2Mv^(2)`
    B
    `3//2 Mv^(2)`
    C
    `Mv^(2)`
    D
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