Practice Normal Modes And Natural Frequencies (19.7) - Modelling

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9 questions

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

Question 1.
What do the indices (n,m) represent in normal modes?
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Think about the indexes associated with vibration.
Question 2.
What is the equation for natural frequency?
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The form indicates it relates to the dimensions of the membrane.
3Question 3.
What is the fundamental mode represented by?
- (0,0)
- (1,1)
- (2,2)
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Think of the lowest frequency mode.
4Question 4.
Natural frequencies are associated with which concept?
- True
- False
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Recall the definition of natural frequencies.
Question 5.
A square membrane has dimensions of 2m x 2m. Calculate the natural frequency for the fundamental mode.
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Think about the relationship between wave speed and tension.
Question 6.
For a given rectangular membrane (4m x 2m), if 'c' is known to be 3 m/s, calculate the frequencies for modes (1,2) and (2,1).
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Substitute into the equation carefully; ensure dimensions are consistent.

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