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A uniform rod of length and mass is free to rotate in a vertical plane about a fixed horizontal axis passing through one of its ends. The rod is released from rest in a horizontal position. What is the angular velocity of the rod when it reaches the vertical position?

  1. A.
  2. B.
  3. C.
  4. D.
Show correct answer & step-by-step solution

Correct answer: A

Solution

Using conservation of energy, . With , we get , which simplifies to .

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