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"A bar has mass M and lenght l. Its extremity A is hooked to a coil (with lenght at rest l0), its extremity B is hooked to the point O that is the origin of axes."

I have considered three coordinates: [tex]x[/tex], [tex]y[/tex] (that are the coords of the extremity A on the x-axes and y-axes) and [tex]\theta[/tex] that is the angle that the bar forms with a parallel to the y-axes and I've written

[tex]K=\frac{1}{2}I\omega^2+\frac{1}{2}Mv_{cm}^2=\frac{1}{24}Ml^2\dot\theta^2+\frac{1}{2}M(\dot y^2+\dot x^2+\frac{l^2}{2}\dot\theta^2+\dot x\dot\theta l \cos(\theta)+\dot y\dot \theta l \sin(\theta))[/tex]

Is it correct? Did I correctly apply Koenig Theorem?