The left-hand end of a slender uniform rod of mass m isplaced against a vertical wall. The rod is held in a horizontal positionby friction at the wall and by a light wire that runs from the right-handend of the rod to a point on the wall above the rod. The wire makes anangle u with the rod. (a) What must the magnitude of the friction forcebe in order for the rod to remain at rest? (b) If the coefficient of staticfriction between the rod and the wall is ms, what is the maximum anglebetween the wire and the rod at which the rod doesn’t slip at the wall?

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The left-hand end of a slender uniform rod of mass m is
placed against a vertical wall. The rod is held in a horizontal position
by friction at the wall and by a light wire that runs from the right-hand
end of the rod to a point on the wall above the rod. The wire makes an
angle u with the rod. (a) What must the magnitude of the friction force
be in order for the rod to remain at rest? (b) If the coefficient of static
friction between the rod and the wall is ms, what is the maximum angle
between the wire and the rod at which the rod doesn’t slip at the wall?

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