Consider the spherical pendulum, which consists of a mass m suspended by a string from the ceiling. The mass is free to swing in both directions but maintains a constant distance from the point of suspension. Choose spherical polar coordinate θ, ϕ as generalized coordinates for this problem. What is T(θ, ˙θ, ϕ, ϕ˙)?

Consider the spherical pendulum, which consists of a mass m suspended by a string from the ceiling. The mass is free to swing in both directions but maintains a constant distance from the point of suspension. Choose spherical polar coordinate θ, ϕ as generalized coordinates for this problem. What is T(θ, ˙θ, ϕ, ϕ˙)?

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