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]

A

The angular speed of the rod will be $$\sqrt {\frac{3g}{2L}}$$

B

The angular acceleration of the rod will be $$\frac{2g}{L}$$

C

The radial acceleration ofthe rod’s center of mass will be $$\frac{3g}{4}$$

D

The normal reaction force from the floor on the rod will be $$\frac{Mg}{16}$$