Problem 3 Consider a trough of a semicircular cross section

Last updated: 6/27/2023

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