Abstract

After the moments of inertia about all axes through the centre of gravity of every body segment have been determined, that about any axis in space outside the centre of gravity can also be found. To this end it must be repeated (p. 12) that the moment of inertia T about any axis in space at a distance e from the centre of gravity of the body can be expressed by the moment of inertia T 0 about the axis parallel to the first according to the equation: $$T = {T_0} + M{e^2}$$ in which M is the mass of the body. ϰ designates the radius of inertia for T whereas ϰ0 designates the radius of inertia for T 0. The following relationship exists between these two radii of inertia and the distance e between the axis and the centre of gravity: $${\chi ^2} = \chi _0^2 + {e^2}$$ .

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