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Why does compound pendulum have the identity of possessing two values of h corresponding to the same period of oscillation

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Answer: The compound pendulum

Let G be the center of gravity of a compound pendulum of mass m that oscillates about a point O with OG = h If the pendulum is moved so that the line OG is displaced through an angle θ (Figure 1), the restoring couple is: ... where k is the radius of gyration about a parallel axis through G.

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