posted by Jennifer on .
PERIOD OF THE LEG
The period of the leg can be approximated by treating the leg as a physical pendulum, with a period of 2pi*sqrt(I/mgh), where I is the moment of inertia, m is the mass, and h is the distance from the pivot point to the center of mass.
The leg can be considered to be a right cylinder of constant density. For a man, the leg constitutes 16% of his total mass and 48% of his total height.
Find the period of the leg of a man who is 1.82 m in height with a mass of 72 kg. The moment of inertia of a cylinder rotating about a perpendicular axis at one end is ml^2/3