Which will win the race?

Classical Mechanics Level 3

As the image shows, \(O\) is the center of a circle, \(E\) is at the bottom of the circle, and \(AE,BE,CE,DE\) are all smooth inclines along the circle.

Now, let's put four balls at rest at points \(A,B,C,D.\)

If whichever gets to point \(E\) first wins the race, ignoring all the frictions, which ball will win the race?

The ball at A The ball at B The ball at C The ball at D They will get to E at the same time It depends on other conditions

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