A person weighing 500 N climbs a ladder leaning against a wall. The ladder weigh

Question

A person weighing 500 N climbs a ladder leaning against a wall. The ladder weighs 100 N and is 2,0 m long, and is set at an angle of 25° from the vertical (see figure above). The coefficient of static friction for the ladder against the wall is s = 0.30. As the person climbs higher, at some point the ladder starts to slip.

a) Find the two normal forces N and H, and the corresponding frictional forces sN and sH that are responsible for keeping the ladder stationary in the beginning.
b) Calculate how high up the ladder (x) the person can climb, before it starts to slip.

Explanation / Answer

a) You apply Newton's second law along the x axis and along the y axis for the ladder.

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