A wheel consists of a thin
light circular rim attached by light spokes of length \(a\)
to a small hub of mass
\(m\). The wheel rolls without slipping
on a rough horizontal table
directly towards a straight edge of the table.
The plane of the wheel is vertical throughout the motion.
The speed of the wheel is \(u\), where
\(u^2
Two particles, each of mass \(m/2\), are attached
to a light circular hoop of radius \(a\), at the ends
of a diameter. The hoop rolls without slipping
on a rough horizontal table
directly towards a straight edge of the table.
The plane of the hoop is vertical throughout the motion.
When the centre of the hoop is vertically above
the edge of the table it has speed \(u\), where
\(u^2