Theory of Machine
The maximum or minimum value of the swaying couple is

± 2a (1 - c) m.ω².r
± (a/√2) (1 - c) m.ω².r
± a (1 - c) m.ω².r
± c.m.ω².r

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Theory of Machine
A governor is said to be stable, if the

Radius of rotation of balls increases as the equilibrium speed decreases
Radius of rotation of balls decreases as the equilibrium speed decreases
Radius of rotation of balls decreases as the equilibrium speed increases
Radius of rotation of balls increases as the equilibrium speed increases

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Theory of Machine
Two heavy rotating masses are connected by shafts of lengths l₁, l₂ and l₃ and the corresponding diameters are d₁, d₂ and d₃. This system is reduced to a torsionally equivalent system having uniform diameter d = d₁ of the shaft. The equivalent length of the shaft is

(l₁ + l₂ + l₃)/3
l = l₁ + l₂.(d₁/d₂)⁴ + l₃.(d₁/d₃)⁴
l₁ + l₂ + l₃
l = l₁ + l₂.(d₁/d₂)³ + l₂.(d₁/d₃)³

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