Answered: Calculate for each case the value of…

Calculate for each case the value of natural frequency in rad/sec; time of period in sec; critical damping coefficient, damping ratio; Are these systems overdamped,

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A test was undertaken to find the dynamic properties of a SDOF system. The measured transient response recorded is shown in Figure QA2a. If the stiffness of the system is 1,000 N/m estimate: i) the damping ratio, ii) the undamped natural frequency, and iii) the mass of the system. Displacement (m) 0.08 0.06 0.04 0.02 O -0.02 -0.04 -0.06 -0.08 Figure QA2a 0.5 Time (s) 1.5 2
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If wo = 106 rad/s, Q, = 5 × 10² and m = 10-1ºkg, calculate the stiffness, and resistive constant (b) of the system. S For a driven damped oscillator, show that the energy dissipated per cycle by a frictional force Fa = bv at an angular frequency (@) is given by: E = nbwA².