Practice Initial Conditions And System Response (7.6) - Free Vibration of Single Degree of Freedom (SDOF) System

Practice: Initial Conditions and System Response

Lesson 7.6Free Vibration of Single Degree of Freedom (SDOF) System

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9 questions

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6 sample questions

Question 1.
What is meant by initial displacement in an SDOF system?
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Think about the position relative to the resting state.
Question 2.
How does initial velocity differ from initial displacement?
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Consider it as the speed or rate of change of position.
3Question 3.
What does the initial displacement x(0) represent in an SDOF system?
- Position at t=0
- Final position
- Velocity at t=0
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Think about the starting point of oscillation.
4Question 4.
True or False: Initial velocity has no effect on the amplitude of the vibration.
- True
- False
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Consider how speed at the start influences oscillation.
Question 5.
A block on a spring has an initial displacement of 2 m and is released with an initial velocity of 5 m/s. Find the equation for its motion and explain each component.
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Use the formula involving initial conditions to build the motion equation.
Question 6.
If the initial conditions of a system are altered such that the displacement is halved, but velocity doubles, derive the new equation of motion.
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Translate altered conditions into the motion equation format.

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