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CSIR NET December 2023 · Part B (3 Marks)ODE, PDE & Applied Mathematics#lagrangian-formalism-and-generalised-coordinates-part-b

Let g denote the acceleration due to gravity and a > 0. A particle of mass m glides without friction on the cycloid x=a(θ−sin⁡θ),y=a(1+cos⁡θ),0≤θ≤2πx = a(\theta - \sin \theta), y = a(1 + \cos \theta), 0 \le \theta \le 2\pi. The equation of motion of the particle is

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