A uniform ladder AB of weight W and length 21 rests with the end A against a smooth vertical wall and the end B on a rough horizontal ground. A man of weight equal to that of the ladder stands at the point C on the ladder, where BC = E1. The coefficient of friction between the ladder and the ground is Given that the ladder is in limiting equilibrium when it makes an angle 8 to the horizontal, (a) (b) show that tan 0 = 2. find the magnitude of the reaction force at the wall and on the ground.

Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Static Equilibrium And Elasticity
Section: Chapter Questions
Problem 40AP: A stepladder of negligible weight is constructed as shown in Figure P12.40, with AC = BC = = 4.00...
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A uniform ladder AB of weight W and length 21 rests with the end A against a smooth vertical wall and the
end B on a rough horizontal ground. A man of weight equal to that of the ladder stands at the point C on
the ladder, where BC = E1. The coefficient of friction between the ladder and the ground is . Given that
the ladder is in limiting equilibrium when it makes an angle 0 to the horizontal,
(a)
(b)
show that tan 0 = 2.
find the magnitude of the reaction force at the wall and on the ground.
Transcribed Image Text:A uniform ladder AB of weight W and length 21 rests with the end A against a smooth vertical wall and the end B on a rough horizontal ground. A man of weight equal to that of the ladder stands at the point C on the ladder, where BC = E1. The coefficient of friction between the ladder and the ground is . Given that the ladder is in limiting equilibrium when it makes an angle 0 to the horizontal, (a) (b) show that tan 0 = 2. find the magnitude of the reaction force at the wall and on the ground.
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