A bead of mass m is constrained to move without friction along a straight fricti

Question

A bead of mass m is constrained to move without friction along a straight frictionless rigid wire (AB) of length L. The wire AB rotates about the vertical (OA) with constant angular velocity. The angle between wire and vertical is constant.

Set up the Largrangian for the system. (note: only a single generalized coordinate is needed. e.g., the distance along the wire from point A.) (Take the zero of potential energy to lie in the x-y plane, where the end of the wire traces out circular motion.)

Find the equation of motion for the bead. Note that the velocity can be expressed in terms of two orthagonal unit vectors.

Let me know if you have any questions or you'd like me to upload a diagram I drew. THANK YOU!

Explanation / Answer

A bead of mass m is constrained to move without friction along a straight fricti

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.