A 70 kg person climbs up a ladder of negligible mass. The ladder is 3.6 m long; its
lower end rests on a rough horizontal floor (static friction coefficient 0.48) while its upper
end rests against a frictionless vertical wall. The angle between the ladder and the horizontal
is 52 degrees.
Let d denote the climbing person's distance from the bottom of the ladder (see the
above diagram). The ladder slips and falls down when the person climbs too far up.
1. Calculate the maximum distance d the person will reach before the ladder
slips.
2. Calculate the maximum distance d the person will reach before the ladder slips if the coefficient of friction between the ladder and the wall was changed to 0.1