A smooth cylinder of radius a is fixed
on a rough horizontal table with its axis parallel to the table.
A uniform rod ACB of length 6a and
mass M rests in limiting equilibrium with the end A on the table
and the point C touching the cylinder. The vertical plane
containing the rod is perpendicular to the axis of the cylinder
and the rod makes an angle 2q
with the table.
that the magnitude of the force exerted by the cylinder on the
3Mg cos 2q tan q
also that µ,
the coefficient of friction between the rod and the table, is
µ(cot q - 3cos² 2 q) = 3 sin 2 q cos 2 q