Theory of Machine
A shaft has an attached disc at the centre of its length. The disc has its centre of gravity located at a distance of 2 mm from the axis of the shaft. When the shaft is allowed to vibrate in its natural bow-shaped mode, it has a frequency of vibration of 10 rad/s. When the shaft is rotated at 300 r.p.m., it will whirl with a radius of

2 mm
3.0 mm
2.50 mm
2.22 mm

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Theory of Machine
A rigid body, under the action of external forces, can be replaced by two masses placed at a fixed distance apart. The two masses form an equivalent dynamical system, if

The sum of mass moment of inertia of the masses about their center of gravity is equal to the mass moment of inertia of the body
The center of gravity of the two masses coincides with that of the body
All of these
The sum of the two masses is equal to the total mass of body

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