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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the general form of the solution to the equation of motion for an SDOF system?
💡 Hint: Think about how sine and cosine functions are used together.
Question 2
Easy
Define the term 'natural frequency'.
💡 Hint: Consider how the system oscillates when disturbed.
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 of motion for an undamped SDOF system?
- mx¨(t) + kx(t) = 0
- mx¨(t) + cx˙(t) + kx(t) = 0
- kx(t) = 0
💡 Hint: Remember, damping would modify the equation.
Question 2
True or False: The phase angle ϕ can be derived from constants A and B.
- True
- False
💡 Hint: Recall how to qualify the angle from the ratio of constants.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
An SDOF system has a spring constant of 300 N/m and a mass of 15 kg. Calculate both its natural frequency and the amplitude if it starts from rest at a displacement of 0.5 m.
💡 Hint: Use the natural frequency formula and consider the initial conditions.
Question 2
Given the equation x(t) = 2cos(5t) + 3sin(5t), determine the amplitude and phase angle.
💡 Hint: Apply the formulas for amplitude and phase derived from A and B.
Challenge and get performance evaluation