A 8.0-kg monkey climbs a uniform ladder with weight w = 1.37102 N and length L = 3.50 m as shown in the figure below. The ladder rests against the wall at an angle of θ = 53°.The upper and lower ends of the ladder rest on frictionless surfaces, by the lower end fastened to the wall by a horizontal rope that is frayed and that can support a maximum tension of only 80.0 N.
a) Draw a free-body diagram for the ladder.(Do this on paper. Your instructor might ask you to turn in this work.)
b) Discover the normal force exerted by the bottom of the ladder.
c) Discover the tension in the rope when the monkey is two-thirds of the way up the ladder.
d) Discover the maximum distance d that the monkey can climb up the ladder before the rope breaks.