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Olympiad workbookNSEPRotational Motion

A long uniform rod of length L and mass M is pivoted vertically on a horizontal, friction less pivot at its lower end. The rod is released from rest in its vertical position OA (see figure). It falls off without slipping at O . At the instant the rod is horizontal,

Options

  1. AIts angular speed is 3 ~g ~L
  2. BMagnitude of its angular acceleration is 3 ~g 2 ~L
  3. CAcceleration of its centre of mass a _ CM =- 3 ~g 4 j ( j unit vector in Y direction)
  4. DReaction force at pivot = M g 4 j (Take X, Y axis as shown)

Correct answer

B. Magnitude of its angular acceleration is 3 ~g 2 ~L

Step-by-step solution

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