1,
37. four equally massive particles can be made to rotate,
equally spaced, around a circle of radius r. this is phys-
ically possible provided the radius and period t of the
rotation are chosen so that the following action function
is at its global minimum:
a(n) =
=
+=
p > 0.
sido
(a) find the radius r at which a(r) has a global mini-
mum.
(b) if the period of the rotation is doubled, determine
whether the radius of the rotation increases or de-
creases, and by approximately what percentage.