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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does a two degree of freedom system represent?
💡 Hint: Think about how many directions or movements it can describe.
Question 2
Easy
Write down the general form of the equation of motion for mass m1.
💡 Hint: Remember it includes forces and acceleration terms.
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 'M' represent in the equation Mx'' + Kx = 0?
- Load vector
- Mass matrix
- Stiffness matrix
💡 Hint: It’s where we account for inertia.
Question 2
True or False: Coupling stiffness is not important in a 2-DOF system.
- True
- False
💡 Hint: Think about how one mass affects the other during vibrations.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider an undamped 2-DOF system with m1 = 500 kg, m2 = 700 kg, k1 = 30000 N/m, k2 = 25000 N/m, and k12 = 5000 N/m. Derive the equations of motion for this system.
💡 Hint: Use the definitions of mass and spring forces relevant to each mass.
Question 2
Using the derived equations for the 2-DOF system, determine the natural frequencies using appropriate methods (assume a linear approach).
💡 Hint: Remember the eigenvalue problem relates back to the determinant of (K - ω²M).
Challenge and get performance evaluation