(a) A line PQ is moving on a fixed circle of radius R. The line has a constant velocity v perpendicular to itself. Find the speed of point of intersection (A) of the line with the circle at the moment the line is at a distance `d = R//2` from the centre of the circle.

(b) In the figure shown a pin P is confined to move in a fixed circular slot of radius R. The pin is also constrained to remains inside the slot in a straight arm O'A. The arm moves with a constant angular speed w about the hinge O'. What is the acceleration of point P ?

Answer

(a) `(2v)/(sqrt(3))` (b) `4 omega^(2)R`