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4) A single degree of freedom (SDOF) system, in which damping is negligible, is initially at rest in its static equilibrium position. When t = 0-s a resonant excitation Q = F*cos (@natt) is applied. The mass of the system is 100-kg, and the static displacement due to the system's own weight is 5-mm. Also, static application of force F would result in a static displacement of 0.4-mm. The springs supporting the system will fail if the displacement from the equilibrium position attains the value of 20-mm. (a) Determine the response as a function of time. From the response solution, determine the maximum time duration over which the resonant excitation may be allowed to continue without causing the springs to break. (b) Would the result of question (a) change if the excitation were Q=F*sin (@nat)? Explain why.

4) A single degree of freedom (SDOF) system, in which damping is negligible, is initially at rest in its static equilibrium position. When t = 0-s a resonant excitation Q = F*cos (@natt) is applied. The mass of the system is 100-kg, and the static displacement due to the system's own weight is 5-mm. Also, static application of force F would result in a static displacement of 0.4-mm. The springs supporting the system will fail if the displacement from the equilibrium position attains the value of 20-mm. (a) Determine the response as a function of time. From the response solution, determine the maximum time duration over which the resonant excitation may be allowed to continue without causing the springs to break. (b) Would the result of question (a) change if the excitation were Q=F*sin (@nat)? Explain why.

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
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4) A single degree of freedom (SDOF) system, in which damping is negligible, is initially at rest in its static equilibrium position. When t = 0-s a resonant excitation Q = F*cos (@natt) is applied. The mass of the system is 100-kg, and the static displacement due to the system's own weight is 5-mm. Also, static application of force F would result in a static displacement of 0.4-mm. The springs supporting the system will fail if the displacement from the equilibrium position attains the value of 20-mm. (a) Determine the response as a function of time. From the response solution, determine the maximum time duration over which the resonant excitation may be allowed to continue without causing the springs to break. (b) Would the result of question (a) change if the excitation were Q=F*sin (@nat)? Explain why.
Transcribed Image Text:4) A single degree of freedom (SDOF) system, in which damping is negligible, is initially at rest in its static equilibrium position. When t = 0-s a resonant excitation Q = F*cos (@natt) is applied. The mass of the system is 100-kg, and the static displacement due to the system's own weight is 5-mm. Also, static application of force F would result in a static displacement of 0.4-mm. The springs supporting the system will fail if the displacement from the equilibrium position attains the value of 20-mm. (a) Determine the response as a function of time. From the response solution, determine the maximum time duration over which the resonant excitation may be allowed to continue without causing the springs to break. (b) Would the result of question (a) change if the excitation were Q=F*sin (@nat)? Explain why.
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