A uniform disc of radius `R = 2 sqrt3 m` is moving on a horizontal surface without slipping. At some instant its angular velocity is `omega = 1` rad/s and angular acceleration is a `alpha = sqrt3 "rad"//s^(2)`.

(a) Find acceleration of the top point A.
(b) Find acceleration of contact point B.
(c) Find co - oridnates `(r , theta)` for a point P which has zero acceleration

Answer

(a) `sqrt(156) ms^(-2)`
(b) `2 sqrt3 ms^(-2)`
(c) `(3 , pi//6)`