Multiple Integrals in Mechanics

Synopsis: Develops the underlying mathematical principles of multiple integrals. Initially, two apparently identical cylinders of the same mass are rolled along a parabolic track. One rolls more quickly because it is hollow. As the mass distribution is important, this leads to a multiple integral. Three-dimensional integrals are developed using a loaf of bread, imagining it to be broken down into slices, then fingers, then crumbs. For the moment of inertia problem, these sections involve the density and distance squared from the axis of rotation. It proves more suitable to express the moment of inertia in terms of cylindrical coordinates.
Series: Mathematical Models and Methods, Course Mst204
Language: English
Country: Great Britain
Medium: Video; Videocassette. Standard formats. col. 24 min.
Year of production: 1982
Availability: OUT OF DISTRIBUTION
Subjects: Mathematics
Keywords: mathematical integrals

Name: Open University Worldwide
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