A rotating disc moves in the positive direction of x-axis as shown. Find the equation y(x) describing the position of the instantaneous axis of rotation if at the initial moment the centre C of the disc was located at origin after which a. it moved with constant acceleration ‘a’ (initial velocity zero) while the disc rotating anticlockwise with constant angular velocity ω. b. it moved with constant velocity v while the disc started rotating anticlockwise with a constant angular acceleration α (with initial angular velocity zero).

