Posted by AfterLife on Wednesday, July 27, 2011 at 9:32pm.
The minimum distance will be achieved if the force is the maximum possible value without slipping, which is F = M*g*mus = 90.65 N
If the crate tips instead, the application height of the force H is such that there is a torque balance with the weight acting at the center of mass.
M*g*(1.21/2) = F*H
H = M*g*(1.21/2)/(M*g*mus) = 1.21/(2*mus) = 1.06 m
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