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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the mass matrix for a 2-DOF system with m1=5 kg, m2=10 kg.
💡 Hint: Consider how mass is represented in matrix form.
Question 2
Easy
What does the stiffness matrix represent?
💡 Hint: Think about the properties of the materials involved.
Practice 4 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 does the mass matrix in a 2-DOF system represent?
- The stiffness of the system
- The distribution of mass
- The damping characteristics
💡 Hint: Consider what defines the motion of each mass.
Question 2
Is the stiffness matrix in a 2-DOF system always symmetric?
- True
- False
💡 Hint: Think about how stiffness in structures interacts.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a 2-DOF system with masses m1=12 kg and m2=8 kg. The stiffness matrix is given as [K] = [[30, -10], [-10, 20]]. Calculate the natural frequencies and corresponding mode shapes.
💡 Hint: Use MATLAB or numerical methods for precise calculations.
Question 2
For the 2-DOF system, determine the response to an external seismic input defined by a force vector. Use modal superposition to articulate the total displacement.
💡 Hint: Break down each mode's impact and ensure correct summation.
Challenge and get performance evaluation