Drill a hole through the earth btwn any two points, show that motion of subway car...

August

New member
...placed in tube is harmonic? Assuming the earth to be of uniform density, drill a hole through the earth between any two points on the surface of the earth. Install a frictionless tube, and evacuate all the air. Show that the motion of a subway car placed in this tube is simple harmonic motion and evaluate the period of this motion. (Hint: use a gravitational equivalent of Gauss's Law.)
 
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