If the sphere is at the end A then the system rod and the sphere is under stable equilibrium.
So the rod will not fall at all.
When It is at the end A There will be variable torque produced by the motion of the sphere which makes the rod to fall
a massive sphere is fitted into a light rod. when will the rod fall faster; is it is placed vertically on end A or end B ?the end of the rod on ground des not slip
If the sphere is at the end A then the system rod and the sphere is under stable equilibrium.
So the rod will not fall at all.
When It is at the end A There will be variable torque produced by the motion of the sphere which makes the rod to fall