What sort of material is this? What are the viscosity and spring constant of the material? What is the time threshold that determines whether the material acts as a liquid or solid? What is the characteristic frequency of the material? What real world material property does this model describe?
What sort of material is this? What are the viscosity and spring constant of the material? What is the time threshold that determines whether the material acts as a liquid or solid? What is the characteristic frequency of the material? What real world material property does this model describe?
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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What sort of material is this? What are the viscosity and spring constant of the material? What is the time threshold that determines whether the material acts as a liquid or solid? What is the characteristic frequency of the material? What real world material property does this model describe?
![**Analyzing Force and Strain on a Material**
**Setup Explanation:**
Consider a scenario where a material is subjected to a pulling force of 5 Newtons (N) as illustrated in the diagram above. A hanging mass is used to apply this force through a pulley mechanism.
**Graphs Interpretation:**
1. **Left Graph:**
- **Force vs. Time**: A constant force of 5 N is applied from 0 to 5 seconds, then the force is removed.
- **Strain vs. Time**: The strain in the material remains constant at 0.05 throughout the period the force is applied (0 to 5 seconds), indicating elastic behavior with no increase in strain after initial application.
2. **Right Graph:**
- **Force vs. Time**: Similar to the left graph, the force rises to 5 N at 0 seconds, held constant until 5 seconds, and then is removed.
- **Strain vs. Time**: Initially, the strain is 0.05 at 0 seconds, and it increases to 0.02 after the force is released at 5 seconds, illustrating a creep effect or time-dependent strain behavior beyond initial elastic deformation.
**Conclusion:**
The graphs demonstrate how different materials respond to a constant force over time. The left graph indicates a purely elastic response, while the right graph shows evidence of creep, where additional strain develops even after the force is removed. These observations are crucial for understanding material properties such as elasticity and viscoelasticity.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5d7c6df9-9072-40bc-ad85-7ace55fd8504%2F0311c934-2408-4bc0-b3ba-68cdfc80a966%2Fu9nvfak_processed.png&w=3840&q=75)
Transcribed Image Text:**Analyzing Force and Strain on a Material**
**Setup Explanation:**
Consider a scenario where a material is subjected to a pulling force of 5 Newtons (N) as illustrated in the diagram above. A hanging mass is used to apply this force through a pulley mechanism.
**Graphs Interpretation:**
1. **Left Graph:**
- **Force vs. Time**: A constant force of 5 N is applied from 0 to 5 seconds, then the force is removed.
- **Strain vs. Time**: The strain in the material remains constant at 0.05 throughout the period the force is applied (0 to 5 seconds), indicating elastic behavior with no increase in strain after initial application.
2. **Right Graph:**
- **Force vs. Time**: Similar to the left graph, the force rises to 5 N at 0 seconds, held constant until 5 seconds, and then is removed.
- **Strain vs. Time**: Initially, the strain is 0.05 at 0 seconds, and it increases to 0.02 after the force is released at 5 seconds, illustrating a creep effect or time-dependent strain behavior beyond initial elastic deformation.
**Conclusion:**
The graphs demonstrate how different materials respond to a constant force over time. The left graph indicates a purely elastic response, while the right graph shows evidence of creep, where additional strain develops even after the force is removed. These observations are crucial for understanding material properties such as elasticity and viscoelasticity.
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