Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_155

3/155 The collar of mass \(m\) slides on the rough horizontal shaft under the action of the force \(F\) of constant magnitude \(F \le mg\) but variable direction. If \(\theta = kt\) where \(k\) is a constant, and if the collar has a speed \(v_1\) to the right when \(\theta = 0\), determine the velocity \(v_2\) of the collar when \(\theta\) reaches \(90^\circ\). Also determine the value of \(F\) which renders \(v_2 = v_1\).