Hi All,

I am struggling to get this using the Lagrangian formula, would anyone be able to assist?

A rigid T consists of a long rod glued perpendicularly to another rod of length l that is pivoted at the origin. The T rotates around in a horizontal plane with constant frequency ?. A mass m is free to slide along the long rod and is connected to the intersection of the rods by a spring with spring constant k and relaxed length zero (see Fig. 6.27). Find r(t), where r is the position of the mass along the long rod. There is a special value of ?; what is it, and why is it special?

http://s3.amazonaws.com/answer-board-image/628ae3fdb906a2b8b95fb53923eb34c7.jpg

Question

Hi All,

I am struggling to get this using the Lagrangian formula, would anyone be able to assist?

A rigid T consists of a long rod glued perpendicularly to another rod of length l that is pivoted at the origin. The T rotates around in a horizontal plane with constant frequency ?. A mass m is free to slide along the long rod and is connected to the intersection of the rods by a spring with spring constant k and relaxed length zero (see Fig. 6.27). Find r(t), where r is the position of the mass along the long rod. There is a special value of ?; what is it, and why is it special?

http://s3.amazonaws.com/answer-board-image/628ae3fdb906a2b8b95fb53923eb34c7.jpg