Concept explainers
What is the danger posed by people in the balcony of an auditorium stamping their feet in a steady rhythm?
To determine:
The danger posed by people in the balcony of an auditorium stamping their feet in staedy rhythm.
Answer:
The danger posed by people in the balcony of an auditorium stamping their feet in staedy rhythm can collapse the structure.
Explanation:
The balcony has its own fundamental frequency at which it will oscillate that was dependant on the magnitude of the mass, shape, and angle at which the balcony is tilted.
If a significant force due to a few hundred feet stamping that can blows on it at its fundamental frequency, it will start oscillating, and the vibration can be great adequate to crack its supports loose.
The structure can absorb the energy of the stamping at the resonant anti-nodes and, reaching a breaking point, collapse the structure.
Conclusion:
Therefore, the danger posed by people in the balcony of an auditorium stamping their feet in staedy rhythm can collapse the structure.
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