Consider a vertical plane in a constant gravitational field. Let the origin of a coordinate system be

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Consider a vertical plane in a constant gravitational field. Let the origin of a coordinate system be located at some point in this plane. A particle of mass m moves in the vertical plane under the influence of gravity and under the influence of and additional force f = – Ara-1 directed toward the origin (r is the distance from the origin; A ad a [≠ - or 1] are constants. Choose appropriate generalized coordinates, and find the Lagrangian equations of motion, is the angular momentum about the origin conserved? Explain.
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Vector Mechanics for Engineers Statics and Dynamics

ISBN: 978-0073212227

8th Edition

Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell

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