The ratio between two horizontal speeds in this pendulum arrangement

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billtodd
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Homework Statement
To find the ratio between the horizontal speed of the stick with mass ##M## and the small point with mass ##m##.
Relevant Equations
Force equation and torque.
From the forces equation I can only understand from it that the forces' equations are:##N=Mg## and ##T\sin \theta=m\ell \ddot{\theta}##.

But I don't know how to find the Torques' equations.

Any help is appreciated.


N=Mg ##Tcos⁡θ+N=mg
צילום מסך 2024-03-24 ב-11.55.30.png
 
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Could you please type out the text from your attachment, and explain that setup? Thanks.
 
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