Problem 3. (10 points)

A ball of mass m, attached to a mass-less string, is released from rest with the cord taut. Find

the equation of motion that describes motion of the ball in terms of the coordinate 0. The initial

position is such that the string is horizontal and upon leaving the ball, the ball swings like a

pendulum. Please note that the string is in-extensible and that the ball is treated as a particle.