Meriam, Kraige & Bolton — Plane Kinematics of Rigid Bodies: Problem 5_19

5/19 Repeat Prob. 5/18, except now the angular acceleration of the disk is given by \(\alpha = 2t\), where \(t\) is in seconds and \(\alpha\) is in radians per second squared. Determine the velocity and acceleration of point \(A\) in terms of fixed \(\mathbf{i}\) and \(\mathbf{j}\) unit vectors at time \(t = 2\text{ s}\). Context from Problem 5/18: Point \(A\) of the circular disk of radius \(r = 200\text{ mm}\) is at the angular position \(\theta = 0\) at time \(t = 0\). The disk has an initial angular velocity \(\omega_0 = 0.1\text{ rad/s}\) at \(t = 0\). From the diagram, the rotation is in the clockwise sense.