A ladder of mass 30 kg and length 5m leans against a frictionless wall. The angle between the ladder and the wall is 37 degree.
(a) what is the force between the ladder and the wall?
(b) a 60 kg man now climbs up to the midpoint of the ladder, what is the force at the base of the ladder (magnitude and direction).?
(c) what must be the coefficient of friction so that the mass can climb all the way to the top of the ladder without slipping?