stess, and Seen in Figure 1, a small cart (with mass m and position 2) is riding inside a has a position ₁. A spring and a damper in parallel connect the larger cart to the smaller cart, and another spring connects the exterior of the large massless cart to an input position, . For this problem, the diagram is similar to the one in Homework 2, Problem 1. It has the same equations of motion. You are not required to re-derive the equations of motion - please reference the solutions. Given this, ↑ ww + C m X2 Given equation of motion: ⒸSmall cort: x₂ + ((x₂-x₂)+(x₂-x)=0 Ⓒlarge carr: K√(x₂-2x1 + x ₁ ) + C (x₂-x) =

stess, and Seen in Figure 1, a small cart (with mass m and position 2) is riding inside a has a position ₁. A spring and a damper in parallel connect the larger cart to the smaller cart, and another spring connects the exterior of the large massless cart to an input position, . For this problem, the diagram is similar to the one in Homework 2, Problem 1. It has the same equations of motion. You are not required to re-derive the equations of motion - please reference the solutions. Given this, ↑ ww + C m X2 Given equation of motion: ⒸSmall cort: x₂ + ((x₂-x₂)+(x₂-x)=0 Ⓒlarge carr: K√(x₂-2x1 + x ₁ ) + C (x₂-x) =

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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Seen in Figure 1, a small cart (with mass m and position 2) is riding inside a larger cart, which is massless, and has a position ₁. A spring and a damper in parallel connect the larger cart to the smaller cart, and another spring connects the exterior of the large massless cart to an input position, . For similar to the one in Homework 2, Problem 1. It has the same equations of the equations of motion - please reference the solutions. Given this, motion. Your tasks: Xu im X1 + C m X2 ( O O O A. Draw FBD and write equations of motion B. Find the state-space equations for the system in matrix form using x1 and x2 and their derivatives and also represent the mechanical system in 2nd order matrix form uations for the system in orm using a, and #2 and their derivatives. nd 2 and their derivatives.
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1, a small cart (with mass m and position 2) is riding inside a larger cart, which is massless, and has a position ₁. A spring and a damper in parallel connect the larger cart to the smaller cart, and another spring connects the exterior of the large massless cart to an input position, u Your tasks: k A Draw the free body diagram of the larger cart. (5) B Draw the free body diagram of the smaller cart. C Derive the equations of motion for the system of carts m x2
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