Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Classical Mechanics Lagrange & Hamilton’s Canonical Equations
Let S be a mechanical system with Lagrangian L(p, q, t) and generalized coordinates q = (q1, q2, ......, qn) Then, the Lagrange equations of motion for S
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constitute a set of n first order ODE
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can be transformed to the Hamilton form using Legendre transform.
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are equivalent to a set of n first order ODE when expressed in terms of Hamiltonian functions.
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is a set of 2nd second order ODE
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