Mathematics, Physics, Conservation Of Energy, Geometry, Beauty.
same. What is the original potential energy? Let’s call it P1 and it will be given by: P1 = mg(PA + PB + PC) = g(PA + PB + PC), where we put m = 1 The potential energy has this form because to get to the point P in the middle you need to drag the rope by a distance PA, PB and PC from each pivot,