Practice - Single Degree-of-Freedom (SDOF) Systems
Practice Questions
Test your understanding with targeted questions
What equation governs free vibrations?
💡 Hint: Think about the forces acting when no external forces are applied.
Define natural frequency.
💡 Hint: Look back at the formula involving mass and stiffness.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the damping ratio used for?
💡 Hint: How does damping affect oscillations and motion?
True or False: Resonance can lead to catastrophic failures in machinery.
💡 Hint: Think about the consequences of matching excitation and natural frequencies.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
A pendulum experiences free vibrations. If the damping ratio is 0.5, what impact does this have on the system's oscillations compared to critical damping?
💡 Hint: Think about how damping affects the speed of return to rest.
An engine operates at a speed where resonance is suspected. If the natural frequency of vibration is calculated to be 25 Hz, what steps can an engineer take to avoid failure?
💡 Hint: Consider the relationship between frequency and speed in your solution.
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Reference links
Supplementary resources to enhance your learning experience.