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A Uniform Ladder 12 Meters Long Rests Against a Vertical θ=51\theta = 51 ^ { \circ }

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A uniform ladder 12 meters long rests against a vertical frictionless wall, as shown in the figure. The ladder weighs 400 N and makes an angle θ=51\theta = 51 ^ { \circ } with the floor. A man weighing 874 N climbs slowly up the ladder. When he is 78 m from the bottom of the Iadder, it just starts to slip. What is the coefficient of static friction between the floor and the ladder?
 A uniform ladder 12 meters long rests against a vertical frictionless wall, as shown in the figure. The ladder weighs  400 N and makes an angle  \theta = 51 ^ { \circ }  with the floor. A man weighing  874 N climbs slowly up the ladder. When he is  78 m from the bottom of the Iadder, it just starts to slip. What is the coefficient of static friction between the floor and the ladder?


Definitions:

Demand Equals Supply

A market equilibrium condition where the quantity demanded by consumers at a specific price level is exactly equal to the quantity supplied by producers.

Initial Endowment

The initial allocation of assets, goods, or resources that an individual or entity possesses before any transactions.

Pareto Optimal

An economic state where it is impossible to make one party better off without making at least one party worse off.

Utility Function

A numerical depiction of the way in which customers gain pleasure or benefit from the consumption of products and services.

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