Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_289

3/289 A particle of mass \(m\) is introduced with zero velocity at \(r = 0\) when \(\theta = 0\). It slides outward through the smooth hollow tube, which is driven at the constant angular velocity \(\omega_0\) about a horizontal axis through point \(O\). If the length \(l\) of the tube is \(1 \text{ m}\) and \(\omega_0 = 0.5 \text{ rad/s}\), determine the time \(t\) after release and the angular displacement \(\theta\) for which the particle exits the tube.