The height of a particular building can make a difference in the amount of sustained damage due to ground acceleration at the base of the building.
The building has a inertia. During an earthquake, the ground shakes by accelerating in a particular direction and then accelerating back in the opposite direction. While the base of the building is accelerating, the remainder of the building has inertia that tries to keep it in one spot. There is more "building" that is resisting the acceleration in a tall building than in a small building.
Imagine holding on to a foot-long ruler and shaking it back and forth; you should feel the 'whip' effect as the top of the ruler struggles to keep up with the base of the ruler in your hand. Now, use the same amount of force but with a yardstick; you should feel a considerably higher amount of 'whip' and wobbling as the entire yard's worth of wood tries to keep up. The effect is similar to a large building; the top of the building 'whips' about as the base is shaken.
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Some buildings are built above standard, some built below standards, some right on par, and sometimes odds can just swing either way.
Earthquakes vary greatly in intensity. Many are not strong enough to cause any notable damage. Additionally, in some earthquake-prone areas the buildings are built to withstand earthquakes, and so are less likely to be damaged.
The construct buildings knowing that earthquakes can strike.Many buildings are made to wobble when earthquakes strike. This gives a better chance for the building to absorb the earthquake and remain standing.
Engineers in Japan design the buildings with the understanding of the frequency and intensity of earthquakes. They build the buildings to move with the motion of earthquakes so they will not crumble.
The buildings collapse.
Because they knock buildings down. People are bothered when buildings fall onto them.