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Rotational Motion question

2019 · Shift 2 · Q41
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  5. /2019 · Shift 2 · Q41

Rotational Motion question

2019 · Shift 2 · Q41

JEE AdvancedPhysicsRotational MotionMultiple correct+4 / −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. A
    The angular acceleration of the rod will be 2gL{{2g} \over L}L2g​.
  2. B
    The normal reaction force from the floor on the rod will be Mg16{{Mg} \over 16}16Mg​.
  3. C
    The radial acceleration of the rod's center of mass will be 3g4{{3g} \over 4}43g​.
  4. D
    The angular speed of the rod will be 3g2L\sqrt {{{3g} \over {2L}}}2L3g​​.
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