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The equations of motion of three different 1 – the system parameters are the same for each cases, such as m = 5 kg, L = 150 cm, R = 200 cm, k = 1.5 kN/m, c = 200 N. s/m, g = 9,81 m/s² and Jo = 7 kg.m². Determine; D. o. F. systems are given as follows. If %3D a) the damping ratio, and the damped natural frequency for 4kL2 0 = 0 3 2cL2 Jo ö +- 3 b) the natural frequency in [rad/s], and the damping ratio for 3mR2 * + cR? x + kR² x = 0 c) the natural frequency in [Hz], and the period for 2mL? ӧ + 5mgL Ө — 0

The equations of motion of three different 1 – the system parameters are the same for each cases, such as m = 5 kg, L = 150 cm, R = 200 cm, k = 1.5 kN/m, c = 200 N. s/m, g = 9,81 m/s² and Jo = 7 kg.m². Determine; D. o. F. systems are given as follows. If %3D a) the damping ratio, and the damped natural frequency for 4kL2 0 = 0 3 2cL2 Jo ö +- 3 b) the natural frequency in [rad/s], and the damping ratio for 3mR2 * + cR? x + kR² x = 0 c) the natural frequency in [Hz], and the period for 2mL? ӧ + 5mgL Ө — 0

Elements Of Electromagnetics
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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The equations of motion of three different 1 – the system parameters are the same for each cases, such as m = 5 kg, L = 150 cm, R = 200 cm, k = 1.5 kN/m, c = 200 N. s/m, g = 9,81 m/s² and Jo = 7 kg.m². Determine; D.o.F. systems are given as follows. If a) the damping ratio, and the damped natural frequency for 2cL? 4kL? Jo 0 + 3 Ө — 0 3 b) the natural frequency in [rad/s], and the damping ratio for 3mR? * + cR² x + kR² x = 0 c) the natural frequency in [Hz], and the period for 2mL? ӧ + 5mgL @ — 0
Transcribed Image Text:The equations of motion of three different 1 – the system parameters are the same for each cases, such as m = 5 kg, L = 150 cm, R = 200 cm, k = 1.5 kN/m, c = 200 N. s/m, g = 9,81 m/s² and Jo = 7 kg.m². Determine; D.o.F. systems are given as follows. If a) the damping ratio, and the damped natural frequency for 2cL? 4kL? Jo 0 + 3 Ө — 0 3 b) the natural frequency in [rad/s], and the damping ratio for 3mR? * + cR² x + kR² x = 0 c) the natural frequency in [Hz], and the period for 2mL? ӧ + 5mgL @ — 0
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