A pendulum of length L has a bob of mass m. It is released from some angle

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A pendulum of length L has a bob of mass m. It is released from some angle θ1. The string hits a peg at a distance x directly below the pivot as in Figure, effectively shortening the length of the pendulum. Find the maximum angle θ2 between the string and the vertical when the bob is to the right of the peg.

L. L-x

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