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Problem 3 Consider a trough of a semicircular cross section and an inclined plane in...

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Problem 3 Consider a trough of a semicircular cross section and an inclined plane in it that leads from a point A to point B lying lower than A Prove that wherever point C is chosen on the arc AB an object will always get from A to B faster along the slopes ACB than along the original slope AB The change of direction at C does not involve a change in speed The effects of friction are negligible Problem The

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