Meriam, Kraige & Bolton — Plane Kinematics of Rigid Bodies: Problem 5_21

5/21 The disk of Prob. 5/18 is at the angular position \(\theta = 0\) at time \(t = 0\). Its angular velocity at \(t = 0\) is \(\omega_0 = 0.1 \text{ rad/s}\), and then it experiences an angular acceleration given by \(\alpha = 2\theta\), where \(\theta\) is in radians and \(\alpha\) is in radians per second squared. Determine the angular position of point A at time \(t = 2 \text{ s}\).