A thin uniform rigid rod of mass `m` and length `l` is in mechanical equilibrium under the constraints of horizontal and vertical rough surfaces. Then select correct option(s):

Find the M.I. of thin uniform rod of mass M and length L about the axis as shown.

A uniform rod of mass M and length L is standing vertically along the y -axis on a smooth horizontal surface as shown. A small disturbance causes the lower end to slip on the smooth horizontal surface and rod starts falling. The path followed by centre of mass of the rod during the fall is

A uniform rod of mass M and length L is standing vertically along the y -axis on a smooth horizontal surface as shown. A small disturbance causes the lower end to slip on the smooth horizontal surface and rod starts falling. The path followed by centre of mass of the rod during the fall is

A uniform rod of mass m and length L is free to rotate in the vertical plane about a horizontal axis passing through its end. The rod initially in horizontal position is released. The initial angular acceleration of the rod is:

A thin uniform rod of mass m and length l is kept on a smooth horizontal surface such that it can move freely. At what distance from centre of rod should a particle of mass m strike on the rod such that the point P at a distance l/3 from the end of the rod is instantaneously at rest just after the elastic collision?