Meriam, Kraige & Bolton — Kinetics of Systems of Particles: Problem 4_23

4/23 The small car, which has a mass of 20 kg, rolls freely on the horizontal track and carries the 5-kg sphere mounted on the light rotating rod with \( r = 0.4 \) m. A geared motor drive maintains a constant angular speed \( \dot{\theta} = 4 \) rad/s of the rod. If the car has a velocity \( v = 0.6 \) m/s when \( \theta = 0 \), calculate \( v\) when \( \theta = 60^\circ \). Neglect the mass of the wheels and any friction.