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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the governing equation for free vibration of an undamped SDOF system?
💡 Hint: Think about Newton's laws applied to vibrations.
Question 2
Easy
What does the natural frequency indicate?
💡 Hint: It is dependent on mass and stiffness.
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 is the equation representing free vibration of an undamped SDOF system?
- a) mu¨(t) + ku(t) = F(t)
- b) mu¨(t) + ku(t) = 0
- c) mu¨(t) + c u˙(t) + ku(t) = 0
💡 Hint: Remember, this involves no external forces.
Question 2
True or False: Free vibrations include the effect of damping.
- True
- False
💡 Hint: Recall the assumptions for free vibration.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A mass of 15 kg is attached to a spring with a stiffness of 300 N/m. Calculate the natural frequency and explain its significance in the context of an undamped SDOF system.
💡 Hint: Use the natural frequency formula.
Question 2
If the same system experiences initial conditions of 5 cm displacement upwards and is released, describe the motion in terms of free vibrations.
💡 Hint: Think about how the displacement directly relates to harmonic motion.
Challenge and get performance evaluation