The static and dynamic properties of an asymmetric rigid body are studied using a Lagrangian approach. The body consists of a thin-walled cylinder balanced by a point mass attached to its inner surface. When resting on an inclined plane, stable and unstable equilibrium points are found, and oscillations about the stable point are studied for different angles of inclination and different values of the balancing mass. The analysis illustrates the utility of Lagrangian mechanics, and the derived results can be experimentally verified using simple materials.
Skip Nav Destination
PAPERS| July 01 2021
Oscillation of a balanced hollow cylinder on an inclined plane
R. De Luca; Oscillation of a balanced hollow cylinder on an inclined plane. Am. J. Phys. 1 July 2021; 89 (7): 677–682. https://doi.org/10.1119/10.0003797
Download citation file: