Problem

A uniform rectangular bookcase of height H and width W = H/2 is to be pushed at a constant...

A uniform rectangular bookcase of height H and width W = H/2 is to be pushed at a constant velocity across a level floor. The bookcase is pushed horizontally at its top edge, at the distance H above the floor. What is the maximum value the coefficient of kinetic friction between the bookcase and the floor can have if the bookcase is not to lip over while being pushed?

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