Given the torsional system shown below actuated by a step input torc T(t): T(O) O0) 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.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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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.
Transcribed Image Text: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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