Lagrangian view of the work-rate theorem
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A Lagrangian perspective of the work-rate theorem demonstrates how one of the factors contributing to the time rate of change of the system energy can be viewed as arising from the rheonomic nature of a system. The utility of the Lagrangian view is highlighted by features of Lagrangian mechanics, such as velocity- level kinematics and an inherent capture of the ideal constraint forces. This perspective can be easily extended to a large class of systems because Lagrange's equations exist for several types of systems such as discrete, continuous, constrained, etc., many of which may greatly benefit from the probable reduced calculations generated from the Lagrangian, rather than Newtonian view.