Theory of Machine
A reed type tachometer use the principle of

Longitudinal vibration
Transverse vibration
Torsional vibration
Damped free vibration

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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 decreasing amplitude
Oscillate with increasing time period
Oscillate with constant amplitude

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