A falling rod

JEE Advanced 2019 Paper 2, Question 1

A thin and uniform rod of mass M and length L is held vertical on a floor with large friction. The rod is released from rest so that it falls by rotating about its contact-point with the floor without slipping. Which of the following statement(s) is/are correct, when the rod makes an angle 60^{\circ} with vertical?

[g is the acceleration due to gravity]

  1. The angular speed of the rod will be \sqrt{\frac{3 g}{2 L}}
  2. The angular acceleration of the rod will be \frac{2 g}{L}
  3. The radial acceleration of the rod’s center of mass will be \frac{3 g}{4}
  4. The normal reaction force from the
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