We consider a bar rotating, with friction due to viscosity, around a point where a torque is applied. The non-linear dynamic equation of the system is given by ml²ö = -mgl sin 0 – kl²é + C where 8 - is the angle between the bar and the vertical axis; C- is the torque (C>0); k – is a viscous friction constant; l– is the length of the bar; m – is the mass of the bar; a) Choose appropriate state variables and write down the state equations; b) Find all equilibria of the system, assuming that < 1; c) Linearize the system around equilibrium points and determine the eigenvalues for each equlibria mgl

We consider a bar rotating, with friction due to viscosity, around a point where a torque is applied. The non-linear dynamic equation of the system is given by ml²ö = -mgl sin 0 – kl²é + C where 8 - is the angle between the bar and the vertical axis; C- is the torque (C>0); k – is a viscous friction constant; l– is the length of the bar; m – is the mass of the bar; a) Choose appropriate state variables and write down the state equations; b) Find all equilibria of the system, assuming that < 1; c) Linearize the system around equilibrium points and determine the eigenvalues for each equlibria mgl

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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