This pipe section is used to alter and divert the flow of liquid through a piece of machinery. The diameter d₁ is equal to four times the diameter d2. A flat, metal flange is to be added to the pipe section (in the plane of the diagram) so that it may be secured in place. If the section is to be secured by a single bolt through its flange, determine the optimal location of the bolt such that the load it must support is minimized. Give this location with respect to a convenient reference point, and note whether there are other, equivalent locations that could be used. As- sume that any forces and moments applied by external hose connections are negligible and that the same is true for all weights.