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
The system is unbalanced
Resonance is caused due to the heavy mass of the rotor

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Theory of Machine
A point B on a rigid link AB moves with respect to A with angular velocity ω rad/s. The total acceleration of B with respect to A will be equal to

Vector sum of radial component and tangential component
Vector sum of radial component and Coriolis component
Vector difference of radial component and tangential component
Vector sum of tangential component and Coriolis component

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