Solution of task 11.4.13 from the collection of Kepe OE

Solution of task 11.4.13 from the collection of Kepe OE

11.4.13.
The eccentric disk rotates uniformly in the plane of the drawing. By its rim, the point M moves according to the law AM = 4t2. What should the angular velocity of the disk co be equal to, so that the acceleration of the Coriolis point M at time t = 1 s is equal to 24 m / s2? (Answer 1.5)