A simple pendulum with a length of 2.23 $\mathrm{m}$ and a mass of 6.74 $\mathrm{kg}$ is given an initial speed of 2.06 $\mathrm{m} / \mathrm{s}$ at its equilibrium position. Assume it undergoes simple harmonic motion. Determine its (a) period, (b) total energy, and (c) maximum angular displacement.