# 10. A uniform ladder of mass (m = 11.0 kg) and length (L) leans against a frictionless wall, see figure. If the angle θ = 54.0°, find the static friction force between the ladder and the floor when a 85.0-kg person stands one-third of the way up the ladder?

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10. A uniform ladder of mass (m = 11.0 kg) and length (L) leans against a frictionless wall, see figure. If the angle θ = 54.0°, find the static friction force between the ladder and the floor when a 85.0-kg person stands one-third of the way up the ladder?

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Step 1

The free body diagram is depicted below,

Step 2

The expression for the moment about the point A,

Step 3

The expression for the net horizontal f...

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