Elliptic Pendulum: Homework on Kinetic & Potential Energies

[imjess]

Homework Statement

A uniform rod AB of mass M and length 2l attatched to a slider at A which is constrained to move along a smooth horizontal wire. The rod, which is subject to gravity, is free to swing in the vertical plane containing the wire. Using Ω (the angle between rod and vertical) and x coordinate of the centre of mass, find an expression for the kinetic and potential energies, deduce Lagrange's equations. Show that the Lagrangian is regular.

Homework Equations

The Attempt at a Solution

I know I have to treat the rod as a continuum, but I can't get around it...

Sorry it doesn't seem like I've done much but I've tried every way I know and nothing's working, any advice would be greatly appreciated. Thank you

Could you please start me of...I know v=-2lmcosθ

But to get T could you please help me... I don't know what my x coordinate is

 

[imjess]

KE = 1/2[Mx.^2 + θ.^2 Ml^2 sin^2(θ)]

I have seemed to get this...could any1 please check if I have done this right