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A ladder is set against a wall so that the ladder makes a 30° angle from...

A ladder is set against a wall so that the ladder makes a 30° angle from the floor. The wall is very smooth, but the floor is not. The ladder only remains motionless as long as a person holds it in place. When the person lets go, the ladder accelerates down and to the right. Blake analyzes this scenario and identifies that the four forces acting on the ladder are its weight F g , the normal force from the wall Nw, the normal force from the floor Nf , and the friction between the ladder and the floor FF . He then correctly ranks the magnitudes of these forces as F g > NF > Nw > FF .

Blake states that the ranking could not be completely determined until it was demonstrated that Nf > Nw + Ff . Explain how this expression is demonstrated by the scenario described

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