Answered: The natural frequency in rad/s is…

Engineering

Mechanical Engineering

The natural frequency in rad/s is Choose... + The damping ratio of the Choose... + system is

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
Q2/ A (spring-mass-damper) system has vibrating with single degree of freedom. the mass is (30 kg) and spring stiffness (k Determine the following: 3000 N/m). a) The Critical Damping Coefficient. Ccr b) The Damped Natural Frequency when C =
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Given the torsional system shown below actuated by a step input torc T(t): TO) 00) lll fro> K D 1- Write first the equation of motion, and then: 2- for K=2 N.m/rad, find J and D to yield 15% overshoot and a 2% settling time of 5 seconds, and then calculate the resultant natural frequency and damping ratio. 3- for K=2 N.m/rad, find J and D to yield a peak time of 2 seconds and a 2% settling time of 10 seconds, and then calculate the resultant natural frequency and damping ratio. 4- for D=1 N.m.s/rad, find K and J to yield 20% overshoot and a peak time of 2 seconds, and then calculate the resultant natural frequency and damping ratio. 5- for J=0.5 kg.m², find K and D to yield 5% overshoot and a peak time of 1 second, and then calculate the resultant natural frequency and damping ratio.
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