Ladder at the Wall

Problem #9

Tags: simple forces

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edison and ladder

Edison wants to replace electric fuzes which were just burnt by yet another of his experiments. They are installed in the box near the ceiling, so he took a simple straight ladder and leaned it against the wall.

At this moment he get curious - obviously if the angle between the wall and the ladder is too great, its near end will go slipping against the floor. So, how this "critical angle" depends on the friction coefficient with the floor? For simplicity let's assume there is no friction between the wall and the ladder.

The only input parameter is k - friction coefficient. Formula should result in maximum possible angle (in radians).

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