If everyone walked in one direction and at the same pace, would the earth be shattered by resonance?

If all the people on Earth were walking in one direction and the same rhythm at the same time, would the Earth be shattered by resonance?

answer:

It's a very interesting brain hole, and I believe the source of this brain hole is the story of the army walking in unison to produce resonance and collapse the bridge. However, we can consider two aspects and confirm that the earth will not be broken by resonance.

There are now about 7.5 billion people on Earth (data at the end of 2019), assuming that each person walking can apply 1000 N of force to the Earth (about twice the weight of an adult), then the total force is 7.5×10 N, which is 11 orders of magnitude smaller than the Mass of the Earth 6×10 kg, and it is not as good as a person who has dropped an atom. Notice that all people add up relative to earth, and one atom relative to humans. In this way, since we are bombarded by countless air molecules every day and are safe, then the earth will obviously have no problems.

Let's take another look at how resonances are generated. In the story of the collapsed bridge, the two ends of the bridge are approximately fixed, and walking together on the bridge is equivalent to applying a transverse periodic driving force to a pole (or string) fixed at both ends (physics undergraduates can begin to relive the fear of mathematical equations), and the frequency of the driving force is comparable to the intrinsic frequency of the pole. But for a sphere like the Earth, applying periodic pressure on the sphere is more like applying a longitudinal periodic drive force at the free end (sphere) of a rod fixed at one end (i.e., the center of the ball). This can of course also produce resonances, but only if the force on the sphere is uniform and is the same as the eigenfrequency of the rod. The problem is that the uneven distribution of land and sea on Earth makes it impossible for people to stomp on the ground evenly, thus exerting periodic driving forces on the Earth. So resonance won't happen, let alone destroy the entire planet through resonance.

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