Theory of Machine
The equation of motion for a vibrating system with viscous damping is (d²x/dt²) + (c/m). (dx/dt) + (s/m). x = 0. If the roots of this equation are real, then the system will be

Under damped
Critically damped
Over-damped
Without vibrations

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Theory of Machine
In order to give the primary balance of the reciprocating parts of a multi-cylinder inline engines

None of these
Both (A) and (B)
The algebraic sum of the couples about any point in the plane of the primary forces must be equal to zero
The algebraic sum of the primary forces must be equal to zero

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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
At the instantaneous center of rotation, one rigid link rotates instantaneously relative to another for the configuration of mechanism considered
The two rigid links have no linear velocities relative to each other at the instantaneous center
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

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