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 the two masses is equal to the total mass of body
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
All of these
The center of gravity of the two masses coincides with that of the body

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Theory of Machine
Which is the false statement about the properties of instantaneous center?

The double center can be denoted either by O2 or O12, but proper selection should be made
The two rigid links which have no linear velocity relative to each other at this center have the same linear velocity to the third rigid link
The two rigid links have no linear velocities relative to each other at the instantaneous center
At the instantaneous center of rotation, one rigid link rotates instantaneously relative to another for the configuration of mechanism considered

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