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Problem 2.121: Variation of Displacement Find the variation of the displacement with time, x(t), of a damped single- degree-of-freedom system with m=10 kg, k=10,000 N/m, and 3=0.1 for the following initial conditions: (a) x(0)=0.2 m, x(0)=0, (b) x(0)=−0.2 m, x(0) = 0 (c) x(0)=0, x(0)=0.2 m sec

Problem 2.121: Variation of Displacement Find the variation of the displacement with time, x(t), of a damped single- degree-of-freedom system with m=10 kg, k=10,000 N/m, and 3=0.1 for the following initial conditions: (a) x(0)=0.2 m, x(0)=0, (b) x(0)=−0.2 m, x(0) = 0 (c) x(0)=0, x(0)=0.2 m sec

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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**Problem 2.121: Variation of Displacement** Find the **variation of the displacement** with time, \( x(t) \), of a damped single-degree-of-freedom system with \( m = 10 \, \text{kg} \), \( k = 10,000 \, \text{N/m} \), and \( \zeta = 0.1 \) for the following initial conditions: (a) \( x(0) = 0.2 \, \text{m}, \quad \dot{x}(0) = 0 \) (b) \( x(0) = -0.2 \, \text{m}, \quad \dot{x}(0) = 0 \) (c) \( x(0) = 0, \quad \dot{x}(0) = 0.2 \, \left( \frac{\text{m}}{\text{sec}} \right) \)
Transcribed Image Text:**Problem 2.121: Variation of Displacement** Find the **variation of the displacement** with time, \( x(t) \), of a damped single-degree-of-freedom system with \( m = 10 \, \text{kg} \), \( k = 10,000 \, \text{N/m} \), and \( \zeta = 0.1 \) for the following initial conditions: (a) \( x(0) = 0.2 \, \text{m}, \quad \dot{x}(0) = 0 \) (b) \( x(0) = -0.2 \, \text{m}, \quad \dot{x}(0) = 0 \) (c) \( x(0) = 0, \quad \dot{x}(0) = 0.2 \, \left( \frac{\text{m}}{\text{sec}} \right) \)
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