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Q1. A mass-spring-damper system has the following equations of motion, where x is the displacement from an equilibrium position: mä + cx + kx = 0 Say, mass m = 1 kg, damper c, and stiffness k = 2 N/m. If the initial conditions are x(0) = 1 m and *(0) = -1 m/s. a) Determine x(t) if c = 0 N/(m/s). b) What is x(t) if c = 1 N/(m/s)? c) What is the natural frequency of the system when the system is undamped (c = 0)?

Q1. A mass-spring-damper system has the following equations of motion, where x is the displacement from an equilibrium position: mä + cx + kx = 0 Say, mass m = 1 kg, damper c, and stiffness k = 2 N/m. If the initial conditions are x(0) = 1 m and *(0) = -1 m/s. a) Determine x(t) if c = 0 N/(m/s). b) What is x(t) if c = 1 N/(m/s)? c) What is the natural frequency of the system when the system is undamped (c = 0)?

Elements Of Electromagnetics
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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Please help. This problem involves a mass spring damper system. Thank you.

Q1. A mass-spring-damper system has the following equations of motion, where x is the displacement from an equilibrium position: mä + cx + kx = 0 Say, mass m = 1 kg, damper c, and stiffness k = 2 N/m. If the initial conditions are x(0) = 1 m and *(0) = -1 m/s. a) Determine x(t) if c = 0 N/(m/s). b) What is x (t) if c = 1 N/(m/s)? c) What is the natural frequency of the system when the system is undamped (c = 0)?
Transcribed Image Text:Q1. A mass-spring-damper system has the following equations of motion, where x is the displacement from an equilibrium position: mä + cx + kx = 0 Say, mass m = 1 kg, damper c, and stiffness k = 2 N/m. If the initial conditions are x(0) = 1 m and *(0) = -1 m/s. a) Determine x(t) if c = 0 N/(m/s). b) What is x (t) if c = 1 N/(m/s)? c) What is the natural frequency of the system when the system is undamped (c = 0)?
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