Physical and Simple Pendulum Period

Question

Two identical point masses $m$ are connected by a massless rod of length $2L$ to form a physical pendulum. The pendulum pivots at a point a distance $x$ from the center of the rod. Determine the value of $x$ for which the period of the physical pendulum is the same as the period of a simple pendulum of length $L$.

Accepted Answer

$$No real value of x satisfies this condition$$

Answer

$$x = L$$

Answer

$$x = L/2$$

Answer

$$x = L\sqrt{1/2}$$

Physical and Simple Pendulum Period

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