Problem 4.2 A bead of mass m, acted upon by a uniform gravitational force, can slide freely on a frictionless circular hoop of radius R. The hoop is oriented vertically and is rotating about a vertical aris with angular velocity w. Assume the hoop is massless. Determine the Lagrangian for the bead.

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Problem 4.2 A bead of mass m, acted upon by a uniform gravitational force,
can slide freely on a frictionless circular hoop of radius R. The hoop is oriented
vertically and is rotating about a vertical aris with angular velocity w. Assume
the hoop is massless. Determine the Lagrangian for the bead.
Transcribed Image Text:Problem 4.2 A bead of mass m, acted upon by a uniform gravitational force, can slide freely on a frictionless circular hoop of radius R. The hoop is oriented vertically and is rotating about a vertical aris with angular velocity w. Assume the hoop is massless. Determine the Lagrangian for the bead.
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