Difficult# Physical and Simple Pendulums

CLMECH-CSZE68

A uniform square slab with sides $b = 0.22 \space m$ swings about pivot P at one of its corners (see the figure on the left). In the figure, $h$ is the distance between the pivot and the slab's center of mass.

Find the length, $L$, of a simple pendulum (the figure on the right) that would have the same period of oscillation as the slab. Assume that all oscillations are small and that there is no friction.