(Solved): Please answer the whole question. Thank you! (13\%) Problem 6: A uniform stationary ladder of lengt ...

Please answer the whole question. Thank you!

(13\%) Problem 6: A uniform stationary ladder of length \( L \) and mass \( M \) leans against a smooth vertical wall, while its bottom legs rest on a rough horizontal floor. The coefficient of static friction between floor and ladder is \( \mu \). The ladder makes an angle \( \theta \) with respect to the floor. A painter of mass \( 1 / 2 M \) stands on the ladder a distance \( d \) from its base. @ 25\% Part (a) Find an expression for the magnitude of the normal force \( N \) exerted by the floor on the ladder. \[ N= \]