The pendulum consists of a slender 2-kg rod AB and 5-kg disk. It is released from rest

Chapter 19, Problem 19-44

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QUESTION:

The pendulum consists of a slender 2-kg rod AB and 5-kg disk. It is released from rest without rotating. When it falls 0.3 m, the end A strikes the hook S, which provides a permanent connection. Determine the angular velocity of the pendulum after it has rotated \(90^{\circ}\). Treat the pendulum’s weight during impact as a nonimpulsive force.

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QUESTION:

The pendulum consists of a slender 2-kg rod AB and 5-kg disk. It is released from rest without rotating. When it falls 0.3 m, the end A strikes the hook S, which provides a permanent connection. Determine the angular velocity of the pendulum after it has rotated \(90^{\circ}\). Treat the pendulum’s weight during impact as a nonimpulsive force.

ANSWER:

Step 1 of 6

For the first motion, applying the conservation of energy,

...(1)

As the pendulum is released from rest,

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