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The Earth's Shifting Crust by Charles Hapgood - wire of information

The Earth's Shifting Crust by Charles Hapgood - wire of information

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376<br />

EARTH'S SHIFTING CRUST<br />

ward effect would be thus counterbalanced? This is the crux<br />

<strong>of</strong> the matter.<br />

<strong>The</strong> answer to this problem may be found in the following<br />

consideration. <strong>The</strong> force with which any object rolls down-<br />

hill is proportionate not only to its weight but to the gradient<br />

<strong>of</strong> the slope. On a flat surface the marble is at rest. It would<br />

develop maximum momentum if it could fall straight down<br />

toward the earth's center (if the surface were vertical). Be-<br />

tween these extremes <strong>of</strong> zero and maximum momentum there<br />

must be an even curve <strong>of</strong> increasing momentum with increas-<br />

ing gradient. (It would follow, <strong>of</strong> course, that a sled would<br />

develop twice the momentum if going down a hill twice as<br />

steep.)<br />

To apply this principle to the icecap, we may observe that<br />

if there were no oblateness to the earth, there would be no<br />

poleward component <strong>of</strong> gravity. If, on the other hand, the<br />

oblateness were increased to the point where the icecap could<br />

fall straight down, it would develop maximum momentum,<br />

the product <strong>of</strong> its velocity and <strong>of</strong> its weight. Between these<br />

extremes, the poleward momentum would be proportional to<br />

the gradient. We have seen, however, that this gradient<br />

amounts to only .017 per cent. It follows from this that the<br />

poleward component <strong>of</strong> gravity acting on the icecap will be<br />

.017 per cent <strong>of</strong> the tangential component <strong>of</strong> the centrifugal<br />

effect <strong>of</strong> the icecap. This <strong>of</strong> course is a relatively negligible<br />

quantity.<br />

It may be objected that in this discussion we have <strong>of</strong>fered<br />

no mathematical calculations in support <strong>of</strong> the positions taken,<br />

and that therefore we have no quantitative basis for our the-<br />

ory. This is, however, a misunderstanding. It is essential, before<br />

mathematical computations are made, to understand the<br />

assumptions on which they are based. In our correspondence<br />

we have more than once received communications in which<br />

the authors have indirectly or directly stated that the question<br />

as to whether a given mass was or was not isostatically com-<br />

pensated was irrelevant. It has seemed to us, on the other hand,<br />

that the actual balanced surface or shape <strong>of</strong> the earth as de-

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