Find the equilibrium position of the winch

AI Thread Summary
To find the equilibrium position of the winch, the torques around the rotation axis must be balanced. The torque from the hanging mass is determined by its weight and distance from the axis, while the torque from the crank and handle depends on their mass and length. Analyzing these torques will reveal the angle at which the system stabilizes. Additionally, small changes in the crank position will lead to oscillations, which can be analyzed using principles of rotational dynamics. Understanding these relationships is crucial for solving the problem effectively.
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Homework Statement


A whip made from a material shaped shaft axis radius R and moment of inertia I and a crank with the axis perpendicular to the axis of rotation of length l and mass m, while the rest parallel to the handle - mass ##m_{2}##. It hangs on a hoist that has mass m. Suppose rope hanging objects weighing negligible.

Homework Equations


Find the equilibrium position of the winch (ie alpha angle on the picture) and the oscillation cycle of generation after small changes of the crank position. Ignore the resistance movement.

The Attempt at a Solution


Please explain for me how to do it, thank and sorry my bad English

anh11.PNG
 
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In equilibrium, the torques about the rotation axis have to balance. What is the torque from the hanging mass? What is the torque from the crank and the handle?
 

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