I have been trying to solve a question about a load on a tripod stand. There is vertical load stacked on a tripod stand with a center of mass at a certain distance away from the center hub of the tripod. There is a horizontal force applied at a certain height and the height is known.

Need to calculate the radius of the tripod leg circle so that the tripod does not topple. Sliding is not to be considered in the calculation.

Have tried writing out the force and moment equations and there seems to be something missing as they won't balance. Please let me know if I am missing something.

Please find attached the considered equations and system in the image link.