Meriam, Kraige & Bolton — Kinetics of Systems of Particles: Problem 4_19

4/19 The man of mass $m_1$ and the woman of mass $m_2$ are standing on opposite ends of the platform of mass $m_0$ which moves with negligible friction and is initially at rest with $s = 0$. The man and woman begin to approach each other. Derive an expression for the displacement $s$ of the platform when the two meet in terms of the displacement $x_1$ of the man relative to the platform.