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Equilibrium with torques on a ladder

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Equilibrium with torques on a ladder
A uniform ladder, length L= 4.5 m, and having mass M= 36 kg, leans against a frictionless wall with angle c= 50° above the floor. The coefficient of friction between ladder and floor is f=.55. A man whose weight is W= 480 newtons, climbs the ladder. Find the maximum distance d, that he can climb until the ladder slides down.
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Equilibrium with torques on a ladder is solved.

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Solution and explanation
Before writing equations, you should show arrows on the diagram for all existing forces on the ladder, including Mg, W, the normal force N and the friction force fN at floor contact, and the force H exerted by the wall on the ladder (horizontally since the ...

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