Maple and the mechanics of multibody systems - Part 2 : Geometry of masses. Mass. Center and tensor of inertia

Geometry of masses. Mass. Center and tensor of inertia
Maple and the mechanics of multibody systems - Part 2

Author : Philippe LONJOU

Publication date: July 10, 2008 | Lire en français

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1. Geometry of masses. Mass. Center and tensor of inertia

Determine the mass, the position of the center of gravity and the moment of inertia of a section of cylinder (figure 1 ).

In this particular case, it's simpler to use cylindrical coordinates. Here, the "Int" function is an inert function: the integral is not evaluated:

>M:≥Int(Int(Int(r*rho,z≥-L/2..+L/2),r≥0..R),theta≥-beta..beta);

M : = \int_{- β}^{β}

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Geometry of masses. Mass. Center and tensor of inertia

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