# Lagrangian of pendulum with pivot point rotating about a circle [closed]

I just would like to know If I am on the right track with this stuff. I have scanned the work I have done, sorry if it is a little messy. Disregard the top most $\ddot x$

A disk of radius R but with no mass rotates anti clockwise at a constant rate $\omega$. Attached to a point on the edge of the disk is a simple pendulum of length l and mass m. Use Lagrange's method to find the equations of motion of the mass.

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