A light, cubical container of volume a3 is initially filled with a liquid of mass
density ρ as shown . The cube is initially supported by a light string to form a simple pendulum of length Li, measured from the center of mass of the filled container, where Li >> a. The liquid is allowed to flow from the bottom of the container at a constant rate (dM/dt). At any time t, the level of the liquid in the container is h and the length of the pendulum is L (measured relative to the instantaneous center of mass) as shown in Find the period of the pendulum as a function of time. (b) What is the period of the pendulum after the liquid completely runs out of the container?
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