Practice Equation Of Motion For Single Degree Of Freedom (sdof) System (9.2)

Practice: Equation of Motion for Single Degree of Freedom (SDOF) System

Lesson 9.2Impulse and Response to Unit Impulse

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8 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What does 'm' represent in the equation of motion?
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Think about what quantity needs to be multiplied by acceleration.
Question 2.
What is the role of the damping coefficient?
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Consider how the energy dissipates in vibrating systems.
3Question 3.
What does 'c' in the equation of motion refer to?
- Mass
- Damping Coefficient
- Stiffness
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Think about how systems return to rest.
4Question 4.
True or False: The impulse response function can help predict the behavior of structures during an earthquake.
- True
- False
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Remember the importance of analyzing dynamic responses.
Question 5.
Given the mass m=2kg, damping c=3N·s/m, and stiffness k=15N/m, derive the equations of motion and impulse response for this SDOF system.
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Start by substituting the values into the motion equation.
Question 6.
If the damped natural frequency is ωd = 5 rad/s, what does that say about the damping ratio in your impulse response?
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Connect the natural frequency and the damping ratio for analysis.

4 more questions in this section. Enroll free to practise them all.