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A stick with length l has both translati...

A stick with length `l` has both translational and rotational motion, as shown in figure. Both `v` and `omega` are positive in the direction shown. Taking clockwise angular momentum `L` to be psositive, which one of the following statements is/are TRUE? (Here `v` is speed of centre of mass)

A

It oscillates

B

It moves to the right of `x_(3)` and never returns

C

It comes to rest at either `x_(0)` or `x_(2)`

D

It cannot reach either `x_(0)` or `x_(2)`

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