Practice Free Vibration Of Undamped Sdof System (6.2) - Equations of Motion of SDOF System for Mass as well as Base Excitation

Practice: Free Vibration of Undamped SDOF System

Lesson 6.2Equations of Motion of SDOF System for Mass as well as Base Excitation

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9 questions

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

Question 1.
What is the governing equation for free vibration of an undamped SDOF system?
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Think about Newton's laws applied to vibrations.
Question 2.
What does the natural frequency indicate?
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It is dependent on mass and stiffness.
3Question 3.
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
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Remember, this involves no external forces.
4Question 4.
True or False: Free vibrations include the effect of damping.
- True
- False
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Recall the assumptions for free vibration.
Question 5.
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.
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Use the natural frequency formula.
Question 6.
If the same system experiences initial conditions of 5 cm displacement upwards and is released, describe the motion in terms of free vibrations.
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Think about how the displacement directly relates to harmonic motion.

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