Classical Physics


The Non-forced Spherical Pendulum: Semi-numerical Solutions

Authors: Richard J. Mathar

Classical mechanics models the PLANE pendulum as a point mass fastened to a pole by a cord of fixed length. The mass is released at some distance from the pole. It moves along a section of a circle; the circle lies in a plane defined by the pole, the initial place, and the direction of the gravitational force. This manuscript deals with semi-numerical solutions of the equations of motion of the SPHERICAL pendulum. This pendulum has some azimuthal velocity and non-vanishing angular momentum. The cord restricts the motion to the surface of a sphere. The instantaneous plane of motion of the mass is no longer constant.

Comments: 11 Pages.

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Submission history

[v1] 2019-09-09 15:04:08

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