A rigid T consist of a long rod glued perpendicular to another rodof length l that is pivoted at the origin. The T rotates around ina horizontal plane with constant frequency ω. A mass m is freeto slide along the long rod and is connected to the intersection ofthe rods by a spring with spring constant k and relaxed lengthzero. Find r(t), where r is the position of the mass along the longrod. There is a special value of ω, what is it, and why is it special? http://s3.amazonaws.com/answer-board-image/628ae3fdb906a2b8b95fb53923eb34c7.jpg for picture of the situation @Mathematics

Question

A rigid T consist of a long rod glued perpendicular to another rodof length l that is pivoted at the origin. The T rotates around ina horizontal plane with constant frequency ω. A mass m is freeto slide along the long rod and is connected to the intersection ofthe rods by a spring with spring constant k and relaxed lengthzero. Find r(t), where r is the position of the mass along the longrod. There is a special value of ω, what is it, and why is it special? http://s3.amazonaws.com/answer-board-image/628ae3fdb906a2b8b95fb53923eb34c7.jpg for picture of the situation   @Mathematics

anonymous · Answer

Use the lagrangian interpolation formula

anonymous · Answer

i have to use L= T - V right? What would the Lagrangian formula be though?

anonymous · Answer

I know what to do once i have L, but can you/someone give me some help with the finding of the kinetic and potential energy equations i should get