[Teflonic]

the space elevator is a tethered cable - held taut by a counterweight object at the other end - that would extend 62,000 miles from into space.

Is 62,000 miles a bit of an overstatement? There is only 62 miles between the earth's surface and the end of the atmosphere. Perhaps it needs to be that long to work as a counterbalance?

[Yo-Yo]

The anchor weight needs to be in geosyncronous orbit in order for the space elevator concept to work. That is 62,300 miles up.

[Yo-Yo]

Oops, my bad! Geosynchronous orbit is 26,200 miles, not 62,300 miles!

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