A ladder 6 m long weighing 300 N is resting against a wall at an angle of $60^{\circ}$ to the horizontal. A man weighing 750 N climbs the ladder. At what position along the ladder from the bottom does he induce slipping. The coefficient of friction for both the wall and the ground with the ladder is 0.2 .
Explanation
To find the position along the ladder where the man will slip, we need to equate the force of friction to the weight of the man. We can then solve for the position x along the ladder.
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