Derive the state-space model (state equation and output equation) in vector form for thefollowing system. The system outputs are the displacements of each spring. Assume that theconnection between the spring and rope is massless and that the rope is inextensible. Assumethat gravity is an input as well as the applied forces Fi(t) and F2(t). Neglect friction forceson mass m₂.If q₁ is the state variable for the bottom spring connected to m₁, q2 is the state variable for themass m₁, q3 is the the top spring connected to the pulley, and q4 is the state variable connectedto the mass m2, then you should expect to get the following state-space representation:9243y0LaLa(L+L)04₂kL₂mi Li0m2013(L+L)0CA=- [8]9293 +9293 +L94m₂F₂(t)m₂TOLF₂(t)Figure 2: Diagram for problem 2X500X2[000]00U₁U12U13m₂.21142143

Given: To find: State-space model

Derive the state-space model (state equation and output equation) in vector form for the following system. The system outputs are the displacements of each spring. Assume that the connection between the spring and rope is massless and that the rope is inextensible. Assume that gravity is an input as well as the applied forces Fi(t) and F2(t). Neglect friction forces on mass m₂. If qi is the state variable for the bottom spring connected to m₁, q2 is the state variable for the mass m₁, q3 is the the top spring connected to the pulley, and q4 is the state variable connected to the mass m2, then you should expect to get the following state-space representation:

Derive the state-space model (state equation and output equation) in vector form for the following system. The system outputs are the displacements of each spring. Assume that the connection between the spring and rope is massless and that the rope is inextensible. Assume that gravity is an input as well as the applied forces Fi(t) and F2(t). Neglect friction forces on mass m₂. If qi is the state variable for the bottom spring connected to m₁, q2 is the state variable for the mass m₁, q3 is the the top spring connected to the pulley, and q4 is the state variable connected to the mass m2, then you should expect to get the following state-space representation:

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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