Dynamics of Particles: Analytical Approach


In this chapter, the analytical approach to dynamics is presented. In particular, Lagrange’s equations for conservative and non-conservative systems and Hamilton’s principle are derived and applied to the modeling of the motion of particles.

5.1The Brachistochrone Problem
5.2Lagrange’s Equation for a Conservative System
5.3Lagrange’s Equation for Non-conservative Systems
5.4Lagrange’s Equations with Constraints
5.5Cyclic Coordinates
5.6Advantages and Disadvantages of the Analytical Approach

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