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On Oct 27, 2006, at 2:29 PM, Jack Uretsky wrote:
For a frictionless quarter-circle arc of radius h, the time
to travel the arc is (barring arithmetic errors) about 2.6 times
to slide down an inclined ramp between the same 2 points. The
answer can be expressed as a beta-function.
Nah. Doesn't make sense. Here's my stab: I get that the curved
ramp takes 7.4% less time. The ratio of curved ramp time to
straight ramp time is
B(1/4,1/2) / [4 sqrt(2)] = 0.927 ...
John Mallinckrodt