Consider the dynamics of a rotating disk modeled as second-order systemIÖ + b,ė +k,0 = u(t)with mass moment of inertia I = 0.025 kg/m², bearing friction br = 12 N-m/(rad/s), andtorsional spring constant kr = 90 Nm/rad. The disk is driven by an oscillating torque inputu(t) = P sin wt with magnitude P = 100 N-m at an input frequency of w = 10 rad/s.=• Derive an expression for the steady-state output Oss (t). Hint: first find the transfer functionG(s) (s)/U(s) and then the sinusoidal transfer function G(iw) along with the gain|G(iw) and phase = LG(iw). The expression for the steady-state output in response toa sinusoidal input U(s) was derived in Lecture 18.• When is this steady-state output is achieved after the system is started from rest? Assumethat transients have decayed after 4 time constants.

I have attached the image below Explanation:

Answered: Consider the dynamics of a rotating…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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