Friction on a Couch
Ed and Al are pushing on a couch as shown in the picture and it doesn't slip.
Ed is pushing with a force of 248.4 N at an angle of θ = 54.3 degrees with respect to the vertical and Al is pushing with a force of 75.9 N at an angle of ϕ = 33.2 degrees with respect to the horizontal. If the couch has a mass of 75 kg and the coefficients of static and kinetic friction between the couch and the floor are μs = 0.59 and μk = 0.44, what is the magnitude of the force of friction exerted by the floor on the couch?