Consider the system shown in the figure. If a pivot point is placed at a distance L/2 from the ends of the rod of length L and mass 5M, the system will rotate clockwise. Thus, in order for the system to not rotate, the pivot point should be placed away from the center of the rod. In which direction from the center of the rod should the pivot point be placed? How far from the center of the rod should the pivot point be placed in order for the system not to rotate? (Treat masses M and 2M as point masses.)

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