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GATE Mathematics 2014 Paper

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Question : 42

Total: 55

A particle P of mass m moves along the cycloid x=(θ−sin‌θ) and y=1+cos‌θ, 0≤θ≤2π. Let g denote the acceleration due to gravity. Neglecting the frictional force, the Lagrangian associated with the motion of the particle P is

m(1−cosθ)‌θ2− mg (1+cosθ)
m(1+cosθ)‌θ2+ mg (1+cosθ)
m(1+cosθ)‌θ2+ mg (1−cosθ)
m(1−sinθ)‌θ2− mg (1+cosθ)

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