Meriam, Kraige & Bolton — Plane Kinematics of Rigid Bodies: Problem 5_20

5/20 Repeat Prob. 5/18, except now the angular acceleration of the disk is given by \(\alpha = 2\omega\), where \(\omega\) is in radians per second 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 \(t = 1\) s. Context from Problem 5/18: Point A of the circular disk of radius \(r = 200\) mm is at the angular position \(\theta = 0\) at time \(t = 0\). The disk has initial angular velocity \(\omega_0 = 0.1\) rad/s at \(t = 0\). The rotation is counter-clockwise.