Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
Consider the dynamics of a rotating disk modeled as second-order system IÖ + b,ė +k,0 = u(t) with mass moment of inertia I = 0.025 kg/m², bearing friction br = 12 N-m/(rad/s), and torsional spring constant kr = 90 Nm/rad. The disk is driven by an oscillating torque input u(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 function G(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 to a sinusoidal input U(s) was derived in Lecture 18. • When is this steady-state output is achieved after the system is started from rest? Assume that transients have decayed after 4 time constants.

Consider the dynamics of a rotating disk modeled as second-order system IÖ + b,ė +k,0 = u(t) with mass moment of inertia I = 0.025 kg/m², bearing friction br = 12 N-m/(rad/s), and torsional spring constant kr = 90 Nm/rad. The disk is driven by an oscillating torque input u(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 function G(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 to a sinusoidal input U(s) was derived in Lecture 18. • When is this steady-state output is achieved after the system is started from rest? Assume that transients have decayed after 4 time constants.

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
See similar textbooks
icon
Related questions
Question
Consider the dynamics of a rotating disk modeled as second-order system IÖ + b,ė +k,0 = u(t) with mass moment of inertia I = 0.025 kg/m², bearing friction br = 12 N-m/(rad/s), and torsional spring constant kr = 90 Nm/rad. The disk is driven by an oscillating torque input u(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 function G(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 to a sinusoidal input U(s) was derived in Lecture 18. • When is this steady-state output is achieved after the system is started from rest? Assume that transients have decayed after 4 time constants.
Transcribed Image Text:Consider the dynamics of a rotating disk modeled as second-order system IÖ + b,ė +k,0 = u(t) with mass moment of inertia I = 0.025 kg/m², bearing friction br = 12 N-m/(rad/s), and torsional spring constant kr = 90 Nm/rad. The disk is driven by an oscillating torque input u(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 function G(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 to a sinusoidal input U(s) was derived in Lecture 18. • When is this steady-state output is achieved after the system is started from rest? Assume that transients have decayed after 4 time constants.
Expert Solution
steps

Step by step

Solved in 1 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS