For an isochronous Hartnell governor (where r₁ and r₂ = Maximum and minimum

Question

For an isochronous Hartnell governor (where r₁ and r₂ = Maximum and minimum radius of rotation of balls respectively, S₁ and S₂ = Maximum and minimum force exerted on the sleeve respectively, and M = Mass on the sleeve)

Options:

A . (m.g + S₁)/(m.g + S₂) = r₁/r₂

B . (m.g - S₁)/(m.g - S₂) = r₂/r₁

C . S₁/S₂ = r₁/r₂

D . S₂/S₁ = r₁/r₂

Answer: Option A

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