A spring-mass system has a mass of 0.02kg and a spring constant of 140N/m. Calculate the...

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A spring-mass system has a mass of 0.02kg and a spring constant of 140N/m. Calculate the natural frequency. P4: A LVDT is used to measure seismic-mass displacement. The LVDT and signal conditioning output is 0.31mV/mm with a +2 cm maximum core displacement. The spring constant is 240 N/m, and the core mass is 0.05kg. (1) Sketch a transfer function block diagram for this system, explicitly showing the following variables/signals: a. acceleration to be measured (a, m/s²) b. core displacement (x, m) C. measurement voltage signal (v, Volts) Furthermore, the gain of each block is to be determined. (2) Based on the block diagram obtained in (1), determine a. The relationship between acceleration in m/s² and output voltage in volts b. The maximum acceleration that can be measured. (3) Determine the natural frequency of this measurement assembly. (4) Discuss the significant of the natural frequency as it related to measurement applications. A spring-mass system has a mass of 0.02kg and a spring constant of 140N/m. Calculate the natural frequency. P4: A LVDT is used to measure seismic-mass displacement. The LVDT and signal conditioning output is 0.31mV/mm with a +2 cm maximum core displacement. The spring constant is 240 N/m, and the core mass is 0.05kg. (1) Sketch a transfer function block diagram for this system, explicitly showing the following variables/signals: a. acceleration to be measured (a, m/s²) b. core displacement (x, m) C. measurement voltage signal (v, Volts) Furthermore, the gain of each block is to be determined. (2) Based on the block diagram obtained in (1), determine a. The relationship between acceleration in m/s² and output voltage in volts b. The maximum acceleration that can be measured. (3) Determine the natural frequency of this measurement assembly. (4) Discuss the significant of the natural frequency as it related to measurement applications.

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calculating the natural frequency of the springmass system Part 1 SpringMass System Part 2 LVDT Syst... View the full answer