Consider a mass-spring system shown below. X1 m The system model is given by m 1 2 k₁ 00000 d₁2 m₁ d²x ₂ dt² ² + (k ₂ + k ₂ ) x ₂ − k ₂ x ₂ =F₁(t) k₂ -oooo0 F₁ −k₂x₁ + (k₂+kz) x₂= F₂(1) *2 (1₂²+k;,**₂)) (m₁s²+k₁+k₂) (m ₂s ²+k ₂+k3) −k² (m₁ x ² + (m₁s²+k₁+ where F₁(t) and F₂(t) are the inputs to the system. Find the transfer function X₂(s)/F₁(s). k₂+ką (m₁x² + k₂ +k₂) (m₂x² +k ₂+k₂)—k} (m₁s²+k₁ + k₂) 1 ₁ + k²₂) (m₂x² + ₂+ k₂) - A{ ·k, 1 k₁+k₂ (m₁s²+k₁+k₂) (m₂s² +k ₂+k3) −k² k 3 (m₁s²+k₁+k₂) (m₂s²+k₂+k₂) −k² m₂ (m₂x²+k₂+k₂) k, (m₁s² + k₂ + k₂) (m₂x²³+k₂+k₂) −k² k3 ooood F₂

Consider a mass-spring system shown below. X1 m The system model is given by m 1 2 k₁ 00000 d₁2 m₁ d²x ₂ dt² ² + (k ₂ + k ₂ ) x ₂ − k ₂ x ₂ =F₁(t) k₂ -oooo0 F₁ −k₂x₁ + (k₂+kz) x₂= F₂(1) *2 (1₂²+k;,**₂)) (m₁s²+k₁+k₂) (m ₂s ²+k ₂+k3) −k² (m₁ x ² + (m₁s²+k₁+ where F₁(t) and F₂(t) are the inputs to the system. Find the transfer function X₂(s)/F₁(s). k₂+ką (m₁x² + k₂ +k₂) (m₂x² +k ₂+k₂)—k} (m₁s²+k₁ + k₂) 1 ₁ + k²₂) (m₂x² + ₂+ k₂) - A{ ·k, 1 k₁+k₂ (m₁s²+k₁+k₂) (m₂s² +k ₂+k3) −k² k 3 (m₁s²+k₁+k₂) (m₂s²+k₂+k₂) −k² m₂ (m₂x²+k₂+k₂) k, (m₁s² + k₂ + k₂) (m₂x²³+k₂+k₂) −k² k3 ooood F₂

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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