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4 cards from this section. Quick, good the night before a test.
What is the general form of the solution to the equation of motion for an SDOF system?
Think about how sine and cosine functions are used together.
Define the term 'natural frequency'.
Consider how the system oscillates when disturbed.
What is the equation of motion for an undamped SDOF system?
Remember, damping would modify the equation.
True or False: The phase angle ϕ can be derived from constants A and B.
Recall how to qualify the angle from the ratio of constants.
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.
Use the natural frequency formula and consider the initial conditions.
Given the equation x(t) = 2cos(5t) + 3sin(5t), determine the amplitude and phase angle.
Apply the formulas for amplitude and phase derived from A and B.
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