Find the time Tc it takes for a frictionless bead to slide along the cycloid x = a(t - sin t), y = a(1 - cos t) from t = 0 to t = π

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Find the time Tc it takes for a frictionless bead to slide along the cycloid
x = a(t - sin t), y = a(1 - cos t) from t = 0 to t = π

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