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A uniform disc of mass m and radius R is...

A uniform disc of mass m and radius `R` is released gentiy on a horizontal rough surface. Such that centre of the disc has velocity `V_(0)` towards right and angular velocity `omega_(0)` (anticlockwise) as shown.

Disc will certainly come back to its intial position if

A

`omega_(0)Rgt2V_(0)`

B

`omega_(0)R=2V_(0)`

C

`omega_(0)Rlt2V_(0)`

D

It is impossible.

Text Solution

Verified by Experts

The correct Answer is:
A

w.r.t. point P net angular momentum must be anticlockwise
`(mR^(2))/(2)omega_(0)gtmV_(0)R,omega_(0)Rgt2V_(0)`
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