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A homogeneous rod AB of mass m and lengt...

A homogeneous rod AB of mass m and length l leans with its lower end against the wall and is kept in the inclined positions by a string DC (Fig). The string is tied at point C to the wall and at point D to the rod so that `AD = AB//3`. The angles formed by the string and the rod with the wall are `alpha` and `beta` respectively. Find all possible values of the coefficient of friction `mu` between the rod and the wall.

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