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2023•Mechanics of SolidsRequires access

Relative Equilibria of a Heavy Point on a Uniformly Rotating Inclined Plane

A. A. Burov, V. I. Nikonov

Open publisher page 3 citations

Abstract

Abstract The problem of the motion of a heavy point along an inclined plane that rotates uniformly around the vertical is considered. The area filled with non-isolated relative equilibria is determined, its dependence on the parameters of the problem – the angular velocity, the angle of inclination of the plane and the angle of friction – is studied. The stability of the studied relative equilibria is discussed.

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What this paper is about

Abstract The problem of the motion of a heavy point along an inclined plane that rotates uniformly around the vertical is considered. The area filled with non-isolated relative equilibria is determined, its dependence on the parameters of the problem – the angular velocity, the angle of inclination of the plane and the angle of friction – is studied. The stability of the studied relative equilibria is discussed.

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Available abstract

Abstract The problem of the motion of a heavy point along an inclined plane that rotates uniformly around the vertical is considered. The area filled with non-isolated relative equilibria is determined, its dependence on the parameters of the problem – the angular velocity, the angle of inclination of the plane and the angle of friction – is studied. The stability of the studied relative equilibria is discussed.

Key concepts: Inclined plane, Plane (geometry), Point (geometry), Angular velocity, Horizontal plane, Relative velocity, Mechanics, Inclination angle

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