7.3 - Equation of Motion for Free Vibration
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Practice Questions
Test your understanding with targeted questions
What does m represent in the equation of motion?
💡 Hint: Think about what you are trying to model in a physical system.
What is the relationship between mass and natural frequency?
💡 Hint: Consider how heavy objects move compared to lighter ones.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the equation of motion for an undamped SDOF system?
💡 Hint: Remember, it describes mass and stiffness acting on displacement.
True or False: Increasing mass will increase the natural frequency of a system.
💡 Hint: Think about how heavier masses respond compared to lighter ones.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A system has a mass of 10 kg and a spring constant of 400 N/m. Calculate the natural frequency and time period.
💡 Hint: Use the respective formulas for ω and T.
If the damping coefficient is introduced into the equation mx¨(t) + cx˙(t) + kx(t) = 0, describe how it changes the dynamic response.
💡 Hint: Think about what happens when friction is introduced to the system.
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