The ratio between two horizontal speeds in this pendulum arrangement

AI Thread Summary
The discussion focuses on deriving the torque equations for a pendulum system based on the forces acting on it. The user understands the normal force and tension equations but struggles with formulating the torque equations. Another participant requests clarification on the setup and asks for the text from an attachment to better assist. The conversation highlights the need for clear communication of the pendulum's configuration to facilitate problem-solving. Overall, the thread emphasizes the importance of understanding both forces and torques in analyzing pendulum dynamics.
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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