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JEE Advanced 2019 Paper 2

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Question : 4

Total: 54

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° with vertical ?
[g is the acceleration due to gravity]

The normal reaction force from the floor on the rod will be
Mg
16
The angular acceleration of the rod will be
2g
L
The angular speed of the rod will be √‌‌
3g
2L
The radial acceleration of the rod’s center of mass will be
3g
4

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