Chapter 14.2, Problem 14.38P

Ball B is suspended from a cord of length l attached to cartel, which can roll freely on a frictionless. horizontal track. The ball and the cart have the same mass m. If the cart is given an initial horizontal velocity v₀ while the ball is at rest, describe the subsequent motion of the system, specifying the velocities of A and B for the following successive values of the angle $\theta$(assume positive counterclockwise) that the cord will form with the vertical: (a) $\theta ={\theta }_{\max }$ , (b) $\theta =0$ , (c) $\theta ={\theta }_{\min }$.