$2.$ We have a geared cylinder $($radius r $=2$ cm$)$ rolling between two plates, A and B$.$ VB$-$ VA $$ C$$ r Find velocity and acceleration of point P if the top plate is moving at a velocity ve $=1$ cm$/$s and accelerating at ag $=4$ cm$/$s$2,$ while the bottom plate is stationary. b$.$ Find the velocity and acceleration of point P if the top plate is moving at a constant ve $=2$cm$/$s and the bottom plate at a constant VA $=-3$ cm$/$s $($moving to the left$).$ Draw vector diagrams showing all the velocity and acceleration components for point P in the above two scenarios.