A person standing on a leaning ladder

A uniform ladder with massand lengthrests against asmooth wall.A do-it-yourself enthusiast ofmassstands on the ladder adistancefrom the bottom(measured along the ladder). The ladder makes an anglewiththe ground. There is no friction between the wall and the ladder,butthere is a frictional force of magnitudebetween thefloor and the the magnitude of the normal forceexerted by the wall on the ladder, andis the magnitude ofthe normal force exerted by the ground on the ladder. Throughoutthe problem, consider counterclockwise torques to be positive. Noneof your answersshould involve(i.e., simplify your trigfunctions).

1)What is the minimum coeffecient of static frictionrequiredbetween the ladder and the ground so that the ladder does notslip?
2)Suppose that the actual coefficent of friction is one and a halftimes as large as the value of . That is, . Under thesecircumstances, what is the magnitude of theforce of friction that the floor applies to the ladder?


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