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#1 A mass measurement system behaves as a second-order system (consisting of a mass = 50g,...

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Mechanical Engineering

#1 A mass measurement system behaves as a second-order system(consisting of a mass = 50g, a spring, and a viscous dampingelement). To determine the damping the ratio, the system wasexposed to a step input and decaying oscillating amplitude of thesystem output was measured. Results of these measurements showedthat the damping ratio = 0.7 and the ringing frequencyfd =389 Hz. Calculate the following and report resultsusing 3 significant digits minimum:

The natural frequency, in Hz

The spring constant, in kN/m

Logarithmic decrement ln(x1/xn)

The period of oscillation when the system is exposed to a stepinput, in milliseconds

The dynamic error, ?, at 450 Hz in % (include the sign of theerror)

The phase and time delay between input and output for sinusoidalinputs of 450 Hz in rad and milliseconds, respectively

Can we use this system to measure mass in outer space? How? Usea diagram to explain.

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