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

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

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Theory of Machine
Two pulleys of radii r₁ and r₂ and at distance x apart are connected by means of a cross 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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