Theory of Machine
In a Hartnell governor, the stiffness of the spring is given by (where S1 and S2 = Spring forces exerted on the sleeve at max. and min. radii of rotation, and h = Compression of the spring)

(S₁ - S₂) / h
(S₁ - S₂) / 2h
(S₁ + S₂) / 2h
(S₁ + S₂) / h

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Theory of Machine
Effort of a governor is the

Mean force exerted at the sleeve for maximum equilibrium speed
Mean force exerted at the sleeve for a given percentage change of speed
None of these
Work-done at the sleeve for maximum equilibrium speed

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Theory of Machine
In a band and block brake, the ratio of tensions on tight side and slack side of the band is (where μ = Coefficient of friction between the blocks and the drum, θ = Semi-angle of each block subtending at the center of drum, and n = Number of blocks)

T₁/T₂ = (μ θ)n
T₁/T₂ = [(1 + μ tanθ)/(1 - μ tanθ)]n
T₁/T₂ = μ. θ. n
T₁/T₂ = [(1 - μ tanθ)/(1 + μ tanθ)]n

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