Theory of Machine
The rotating shafts tend to vibrate violently at whirling speeds because

Resonance is caused due to the heavy mass of the rotor
The system is unbalanced
Bearing centre line coincides with the axis
The shafts are rotating at very high speeds

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Theory of Machine
Two pulleys of radii r₁ and r₂ and at distance x apart are connected by means of an open belt drive. The length of the belt is

π (r₁ - r₂) + (r₁ + r₂)²/x + 2x
π (r₁ + r₂) + (r₁ + r₂)²/x + 2x
π (r₁ + r₂) + (r₁ - r₂)²/x + 2x
π (r₁ - r₂) + (r₁ - r₂)²/x + 2x

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