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A light ladder rests onn te rough floor ...

A light ladder rests onn te rough floor of a room, leaning against a smooth wall. The ladder touches the wall at height `h` above the floor. A man climbs up the ladder until the base of the ladder is on the verge of slipping. The coefficint of static friction between the foot of the ladder and floor is `mu`.
(a) What is the horizontal distance moved by the man?
(b) Solve part (a) if the ladder is uniform and has the same weight as the man and the base of the ladder is at a distance `l` from the wall.

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