Question: Pendulum with a peg. A pendulum of length L is initially held at rest in a horizontal manner, and then released. As it swings

Pendulum with a peg. A pendulum of length L is initially held

Pendulum with a peg. A pendulum of length L is initially held at rest in a horizontal manner, and then released. As it swings down, the string runs into a peg fixed at point Pa distance d below the pivot, then the ball swings up around the peg, as shown. What must be the smallest value of d such that the pendulum swings completely around the peg, i.e., the string remains stretched at all times?

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