The weight of the wardrobe is W = 392.4 N with the center of gravity at G. If the static friction coefficient between the wardrobe and the inclined surface is μ = 0.2 and a horizontal force P is applied on it as shown in the figure above, where d = 0.8 m, l = 1.8 m, b = 1 m, h = 1.2 m, and θ = 20°, then:
a) The magnitude of the force P for impending slip up is (N).
b) The magnitude of the normal reaction is (N).
c) The friction force is (N).
d) The position of the reaction measured from A is (N).
e) The magnitude of the force P for impending slip down is (N).
f) In case e above, the position of the reaction measured from A is (N).