stuck Pit and Plank. A wooden plank is placed over a pit that is 3.20 m wide. A

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Pit and Plank. A wooden plank is placed over a pit that is 3.20 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 three times each second. The plank oscillates with a large amplitude, with maximum amplitude at its center. (Note: The transverse standing waves of the plank have nodes at the two ends that rest on the ground on either side of the pit.) (a) what is the speed of transverse waves on the plank? m/s (b) At what rate does the student have to jump to produce large-amplitude oscillations if she is standing 0.80 m from the edge of the pit times each second Submit Answer Save Progress

Explanation / Answer

a)

The wavelength = 2L.

The frequency of the oscillation is f = 2/s

So the speed, v, of the wave is

v = f = f (2L) = (2/s)*2*(3.2m)

v = 12.8 m/s

b)

The student would be making a large deflection 0.80/3.2m = 1/4 of the way from the end of the plank

f2 = n(v/2L)

f2 = 2(12.8 m/s / (2*3.20m))

f2 = 4 Hz

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