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A bead is constrained to slide on a frictionless rod that is fixed at an angle with a vertical axis and is rotating with

A bead is constrained to slide on a frictionless rod that is fixed at an angle with a vertical axis and is rotating with angular frequency w about the axis, as shown above. Taking the distances along the rod as the variable, the Lagrangian for the bead is equal to A. 1/2 ms 2 - mgs cos 0 B. 1/2 ms 2 + 1/2 m(ws) - mgs C. 1/2 ms 2 + 1/2 m(ws cos 0)2 + mgs cos 0 D. 1/2 m(s sin 0)2 - mgs cos 0 E. 1/2 ms 2 + 1/2 m(ws sin 0)2 - mgs cos 0

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