A uniform ladder of mass 16 kg and length 4.6 m leans against a smooth wall at an angle 52◦ with respect to the ground. A person of mass 54 kg climbs up the ladder to a point two-thirds of the way to the top. Assume that there is no friction between the top of the ladder and the wall. Compute the minimum coefficient of static friction between the ladder and the ground that would prevent the ladder from slipping. The acceleration of gravity is 9.8 m/s