  Multiple pendulums are investigated numerically and analytically to clarify
the nonuniformity of average kinetic energies of particles. The nonuniformity
is attributed to the system having constraints and it is consistent with the
generalized principle of the equipartition of energy. With the use of explicit
expression for Hamiltonian of a multiple pendulum, approximate expressions for
temporal and statistical average of kinetic energies are obtained, where the
average energies are expressed in terms of masses of particles. In a typical
case, the average kinetic energy is large for particles near the end of the
pendulum and small for those near the root. Moreover, the exact analytic
expressions for the average kinetic energy of the particles are obtained for a
double pendulum.
