A pendulum with cord length L = 6 ft and a bob weighing 3 lb is released from rest at an angle θi. Once the pendulum has swung to the vertical position (i.e., θ = 0), its cord runs into a small fixed obstacle. In solving this problem, neglect the size of the obstacle; model the pendulum’s bob as a particle and the pendulum’s cord as massless and inextensible; and let gravity and the tension in the cord be the only relevant forces.
Figure P3.72
If the bob is released from rest at θi = 90°, at what angle ϕ does the cord go slack?
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