A uniform ladder of length L and mass m leans against a frictionless vertical wall, making...

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Physics

A uniform ladder of length L and mass m leansagainst a frictionless vertical wall, making an angle of 55Â° withthe horizontal. The coefficient of static friction between theladder and the ground is 0.40. If your mass is four times that ofthe ladder, how high can you climb before the ladder begins toslip?

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4.4 Ratings (984 Votes)

To solve for some distance x1 from the ground on the line along the ladder that a person can stand without causing the ladder to slip Answer should be solved in terms of the length of the ladder L the static coefficient of friction the ladder has with the ground mu and the angle the ladder forms with the horizontal beta Normal forces N1 normal force acting horizontal on top end of ladder touching the frictionless wall N2 Normal force acting vertically up on the bottom of the ladder touching the ground with friction Friction forces Ff friction force acting horizontal towards the vertical wall on the bottom of the ladder Ff will be equal See Answer

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