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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a Degree of Freedom (DOF)?
💡 Hint: Think about how many independent movements are needed for a system.
Question 2
Easy
Name a common example of an MDOF system.
💡 Hint: Consider structures that have multiple parts.
Practice 3 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What defines a multiple degree of freedom (MDOF) system?
- Only one independent motion
- More than one independent coordinate
- No independent motion
💡 Hint: Think about structures that can vibrate in different ways.
Question 2
True or False: The mass matrix in an MDOF system is typically non-diagonal.
- True
- False
💡 Hint: Consider how mass is distributed across a structure.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A 3-story building can be modeled as an MDOF system. Each floor has a mass of 1000 kg, and the stiffness varies with floor height. Formulate the equations of motion.
💡 Hint: Consider how the mass of the floors contributes to the overall mass matrix.
Question 2
How would you approach calculating the natural frequencies of a damped MDOF system? Include steps.
💡 Hint: Remember that damping alters the response characteristics.
Challenge and get performance evaluation