This module continues with the boundary conditions for variational calculus. Both natural and essential boundary conditions are elaborated. Generalisations of the Euler-Lagrange equations are discussed. Thereafter, Hamilton’s principle is introduced. Using this principle, one can determine the dynamics of a system by using variational calculus for a functional based on the Lagrangian. It is stated that in Statics, Hamilton’s Principle reduces to the principle of stationary potential energy.
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