Write down the general differential equation describing the dynamic response of a second order measuring instrument and state the expressions relating the static sensitivity, undamped natural frequency and damping ratio to the parameters in this differential equation. Sketch the instrument response for the cases of heavy damping, critical damping and light damping, and state which of these is the usual target when a second order instrument is being designed.

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Write down the general differential equation describing the dynamic response of
a second order measuring instrument and state the expressions relating the static
sensitivity, undamped natural frequency and damping ratio to the parameters in
this differential equation. Sketch the instrument response for the cases of heavy
damping, critical damping and light damping, and state which of these is the
usual target when a second order instrument is being designed.
Transcribed Image Text:Write down the general differential equation describing the dynamic response of a second order measuring instrument and state the expressions relating the static sensitivity, undamped natural frequency and damping ratio to the parameters in this differential equation. Sketch the instrument response for the cases of heavy damping, critical damping and light damping, and state which of these is the usual target when a second order instrument is being designed.
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