A clockmaker is attaching an hour hand to a clock that is hanging on a vertical wall. The hour hand has a mass of π and a length of
3 π and it is attached to the clock through a point that is at a distance of π from one of the ends. The clockmaker is attaching the hand so
that it points at 12 oβclock. As he is trying to fix it in place, he slightly disturbs it from its
position of equilibrium and it starts to rotate. Assuming that the hour hand is uniform and the axle
is smooth, find the angular speed of the hour hand after it has turned through an angle of π . Give your
answer in terms of π , π , and the acceleration due to gravity
π .