Moment of inertia of speed governor

AI Thread Summary
To derive the moment of inertia for the masses at the ends of a speed governor's arms, the equation I = ∑i mi ri² is applicable, where mi represents the mass and ri the distance from the axis of rotation. The main challenge lies in accurately determining the distances (ri) for each mass. Additional information about the configuration of the speed governor is necessary for precise calculations. The discussion emphasizes the relevance of the standard moment of inertia formula in this context. Understanding the specific setup will aid in deriving the correct expression.
Bugsy23
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Homework Statement



I need to derive an expression for the moment of inertia of the two masses at the ends of the arms of a speed governor

Homework Equations





The Attempt at a Solution



The equation for the moment of inertia of a system of particles rotating about a given axis is
I = ∑i mi ri2, but I don't know if this would apply to a speed governor too, or is there another equation for that?
 
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Bugsy23 said:
The equation for the moment of inertia of a system of particles rotating about a given axis is
I = ∑i mi ri2, but I don't know if this would apply to a speed governor too, ...
I don't see why not. The only issue that you need to work out is how to determine the ris, but you need to provide more information for us to help you with that.
 

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