If the coefficient of static friction between a table and a uniform, massive rope is µs, what fraction of the rope can hang over the edge of the table without the rope sliding?

Solution 84P Let the fraction of the rope that hangs over the edge is x. Weight of this fraction, W = xmg …..(1) The other fraction (1 x) is on the table. The force of friction on this fraction is F = (1 s)mg …..(2) Now, for the rope to hang over the...