Theory of Machine
In a mechanism, the fixed instantaneous centers are those centers which

Remain in the same place for all configurations of the mechanism
Moves as the mechanism moves, but joints are of permanent nature
None of the listed here
Vary with the configuration of the mechanism

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Theory of Machine
When a mass of a critically damped single degree of freedom system is deflected from its equilibrium position and released, then it will

Return to equilibrium position without oscillation
Oscillate with constant amplitude
Oscillate with increasing time period
Oscillate with decreasing amplitude

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