A 22.5 kg person climbs up a uniform ladder with negligible mass. The upper end of the ladder rests on a frictionless wall. The bottom of the ladder rests on a floor with a rough surface where the coefficient of static friction is 0.11. The angle between the horizontal and the ladder is θ . The person wants to climb up the ladder a distance of 0.65 m along the ladder from the ladder’s foot.
What is the minimum angle θmin (between the horizontal and the ladder) so that the person can reach a distance of 0.65 m without having the ladder slip?
The acceleration of gravity is 9.8 m/s².
Answer in units of °.
