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3. Consider a particle of mass m constrained to move on a parabola y = a332, (a) Evaluate the Lagrangian in terms of m, i,
3. Consider a particle of mass m constrained to move on a parabola y = a332, (a) Evaluate the Lagrangian in terms of m, i, and derive the equation of motion. (b) Use a Lagrange multiplier for the constraint, derive the corresponding equation of motion. Show equivalence with part (a)
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