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lagrangian equation of motion by de alembert principal

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1mo ago

D'Alembert's principle states that the virtual work of the inertial forces is equal to the virtual work of the applied forces for a system in equilibrium. By applying this principle to a system described by generalized coordinates, we can derive Lagrange's equation of motion, which relates the generalized forces, generalized coordinates, and Lagrangian of the system. The resulting equations can be used to describe the dynamics of the system without the need for explicit forces or constraints.

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Q: Derive Lagrange's equation of motion using D'alembert's principle?
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