Theory of Machine
A single degree of freedom system is given by, m × (d²x/dt²) + c × (dx/dt) + sx = F.cosω.t with usual notations. It represents

Forced vibration without damping
Free vibration without damping
Forced vibration with damping
Free vibration with damping

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

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