MathDB
uniform horizontal circular plate of weight

Source: Polish MO second round 1956 p3

August 29, 2024
geometry

Problem Statement

A uniform horizontal circular plate of weight Q Q kG is supported at points A A , B B , C C lying on the circumference of the plate, with AC=BC AC = BC and ACB=2α ACB = 2\alpha . What weight x x kG must be placed on the plate at the other end D D of the diameter drawn from point C C so that the pressure of the plate on the support at C C G is equal to zero?