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A ladder of length 15.0 m and of mass 45.0kg is leaning against a frictionless building...

A ladder of length 15.0 m and of mass 45.0kg is leaning against a frictionless building wall. An85.0-kg person standing on the ladder, 1.00 m from its top end, asks his friend to stand on one of the lower rungs to prevent the ladder from slipping. If the friend’s mass is 65.0 kg, where should he stand to keep the entire system in equilibrium? The coefficient of friction between the ladder and the ground is 0.300, and the angle that the ladder makes with the horizontal is 65.0⁰. Also calculate the normal forces that the wall and the ground exert on the ladder.

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