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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa957bed-8d63-4ec5-83f0-11dee37c879a%2F73ffae01-6017-4265-ab6d-246bf9411832%2Fjbu985p_processed.png&w=3840&q=75)
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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