A collar of mass m slides without friction on a horizontal rigid rod and is restrained by a pair of identical springs with spring constant k. A pendulum consisting of a uniform rigid bar of length L and mass Mis suspended from the collar by a frictionless pivot. L, M 2.1 Select a complete and independent set of generalized coordinates for this system. 2.2 Derive using Lagrange's principle, the equations of motion of the system in the form of a matrix differential equation. 2.3 Develop the state-space model. å 2.4 Derive an eigenvalue problem of the form [K]{a}=¹[M]{a}

A collar of mass m slides without friction on a horizontal rigid rod and is restrained by a pair of identical springs with spring constant k. A pendulum consisting of a uniform rigid bar of length L and mass Mis suspended from the collar by a frictionless pivot. L, M 2.1 Select a complete and independent set of generalized coordinates for this system. 2.2 Derive using Lagrange's principle, the equations of motion of the system in the form of a matrix differential equation. 2.3 Develop the state-space model. å 2.4 Derive an eigenvalue problem of the form [K]{a}=¹[M]{a}

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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