Use dimensional analysis to determine how the period T of a swinging pendulum (the elapsed...

Use dimensional analysis to determine how the period T of a swinging pendulum (the elapsed time for a complete cycle of motion) depends on some, or all, of these properties: the length L of the pendulum, the mass m of the pendulum bob, and the gravitational field strength g (in m/s2).

Assume that the amplitude of the swing (the maximum angle that the string makes with the vertical) has no effect on the period.