Puck \(A\), of inertia \(m\), is attached to one end of a string of length \(\ell\), and the other end of the string is attached to a pivot so that the puck is free to revolve on a smooth horizontal surface. Puck B, of inertia \(8 m\), is attached to one end of a string of length \(\ell / 2\), and the other end of the string is attached to a second pivot so that B is also free to revolve. In each case, the puck is held as far as possible from the pivot so that the string is taut and then given an initial velocity \(\vec{v}\) perpendicular to the string.

(a) How does the magnitude of the angular momentum of puck A about its pivot compare with that of puck B about its pivot?

(b) How does the rotational kinetic energy of A compare with that of B?