Two cylinders having radiii `R_(1)` and `R_(2)` and rotational inertia `I_(1)` and `I_(2)` respectively, are supported by fixed axes perpendicular to the plane of figure-5.52. The large cylinder is initially rotating with angular velocity`omega_(0)`. The small cylinder is moved to the right until it touches the large cylinder and is caused to rotate by the frictional force between the two. Eventually, slipping ceases, and the two cylinders rotate at constant rates in opposite directions, (a) Find the final angular velocity `omega_(2)` of the small cylinder in terms of `I_(1) , I_(2) , R_(1) , R_(2)` and `omega_(0)`. (b) Is total angular momentum conserved in this case ?