Bearing problem
March 11, 2023
A ball bearing sits between two metal grooves, with the top groove having an angle of 120◦ and the bottom groove having an angle of 90◦ , as in the picture on the right. What must the diameter of the ball bearing be for the distance between the vertexes of the grooves to be half an inch? You may assume that the top vertex is directly above the bottom vertex.
