A painter wishes to know whether or not he can safely stand on a ladder. The ladder has a mass M₁ = 10 kg which is uniformly distributed throughout its length L = 6.1 m. The ladder is propped up at an angle theta = 61º. The coefficient of static friction between the ground and the ladder is mus = 0.31, and the wall against which the ladder is resting is frictionless. Ꮎ Calculate the maximum mass of the painter for which the ladder will remain stable when he climbs a distance d = 3.9 m up the ladder. f the painter does not stand on the ladder, what is the minimum angle theta for which the ladder will remain stable?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
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Problem 64PQ: A One end of a metal rod of weight Fg and length L presses against a corner between a wall and the...
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A painter wishes to know whether or not he can safely stand on a ladder. The ladder has a mass M₁ = 10 kg which is uniformly
distributed throughout its length L = 6.1 m. The ladder is propped up at an angle theta = 61º. The coefficient of static friction between the
ground and the ladder is mus = 0.31, and the wall against which the ladder is resting is frictionless.
0
Calculate the maximum mass of the painter for which the ladder will remain stable when he climbs a distance d = 3.9 m up the ladder.
If the painter does not stand on the ladder, what is the minimum angle theta for which the ladder will remain stable?
Transcribed Image Text:A painter wishes to know whether or not he can safely stand on a ladder. The ladder has a mass M₁ = 10 kg which is uniformly distributed throughout its length L = 6.1 m. The ladder is propped up at an angle theta = 61º. The coefficient of static friction between the ground and the ladder is mus = 0.31, and the wall against which the ladder is resting is frictionless. 0 Calculate the maximum mass of the painter for which the ladder will remain stable when he climbs a distance d = 3.9 m up the ladder. If the painter does not stand on the ladder, what is the minimum angle theta for which the ladder will remain stable?
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