A wooden plank is placed over a pit that is 5.00 m wide. A physics student stands in the middle of the plank and begins to jump up and down such that she jumps upward from the plank two times each second. The plank oscillates with a large amplitude, with maximum amplitude at its center [Pit and Plank].
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The plank is oscillating in its fundamental mode, so λ = 2L = 10.0m, with a frequency of 2.00 Hz.
v = fλ = 20.0 m/s.
The plank would be its first overtone, with twice the frequency, or 4 jumps/s.
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