5 - Forced Oscillations
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Practice Questions
Test your understanding with targeted questions
What is forced oscillation?
💡 Hint: Think about how something moves when pushed regularly.
Define resonance in your own words.
💡 Hint: Remember the example of the swing.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the governing equation for forced oscillation represent?
💡 Hint: Consider the role of the external force in the equation.
True or False: Resonance occurs when frequency of the external force matches the natural frequency of the system.
💡 Hint: Think about how tuning forks resonate.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A mass-spring system experiences forced oscillation with a damping ratio of 0.2. The mass is 5 kg, the spring constant is 500 N/m, and the external force is 100 N at a frequency of 2 Hz. Calculate the amplitude at steady-state.
💡 Hint: Start with finding the natural frequency and proceed to use the amplitude formula.
What would happen to the amplitude if the external force frequency is increased significantly past the natural frequency of the system? Explain why.
💡 Hint: Think about how energy resonance changes with different driving frequencies.
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