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

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

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Theory of Machine
Inertia force acts

Opposite to the direction of acceleration force
Along the direction of acceleration force
Perpendicular to the acceleration force
None of the listed here

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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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