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Problem 1: u(t) Input force State-space representation z₁(t) zz(t) T m1 TE b₁ b₂ m2 mrr m k₂ k₁ 1) Two carts with negligible rolling friction are connected as shown above. An input force is u(t). The output is the position of cart 2, that is, y(t) = z 2 (t). Find the set of differential equations describing the system. 2) Determine a state space representation of the system.

Problem 1: u(t) Input force State-space representation z₁(t) zz(t) T m1 TE b₁ b₂ m2 mrr m k₂ k₁ 1) Two carts with negligible rolling friction are connected as shown above. An input force is u(t). The output is the position of cart 2, that is, y(t) = z 2 (t). Find the set of differential equations describing the system. 2) Determine a state space representation of the system.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Problem 1: u (t) Input force State-space representation z₁(t) zz(t) T b₂ m1 TE b₁ m2 mrr m k₂ k₁ 1) Two carts with negligible rolling friction are connected as shown above. An input force is u(t). The output is the position of cart 2, that is, y(t) = z 2 (t). Find the set of differential equations describing the system. 2) Determine a state space representation of the system.
Transcribed Image Text:Problem 1: u (t) Input force State-space representation z₁(t) zz(t) T b₂ m1 TE b₁ m2 mrr m k₂ k₁ 1) Two carts with negligible rolling friction are connected as shown above. An input force is u(t). The output is the position of cart 2, that is, y(t) = z 2 (t). Find the set of differential equations describing the system. 2) Determine a state space representation of the system.
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