Will the ladder slip? A ladder of length l = 4m rests against a wall at 0 = 60°. Assume that there is no friction between the ladder and the vertical wall but there is friction between the ground and the ladder with µ = 0.5. A person weighing 700 N starts to climb up the ladder. 1. Can the person make it to the top safely (without the ladder slipping)? If not, then find the distance d along the ladder that the person can climb safely. Ignore the weight of the ladder in comparison to the weight of the person. 2. Does the "no slip" distance d depend on 0? If yes, then find the angle 0 which makes it safe for the person to reach the top.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.50P: The block of weight W is pulled by the force P inclined at the angle to the horizontal. Find the...
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no friction
Will the ladder slip? A ladder of length l = 4m rests against a wall
at 0 = 60°. Assume that there is no friction between the ladder and
A
ladder
the vertical wall but there is friction between the ground and the
ladder with u = 0.5. A person weighing 700 N starts to climb up
the ladder.
1. Can the person make it to the top safely (without the ladder
slipping)? If not, then find the distance d along the ladder that
the person can climb safely. Ignore the weight of the ladder in
comparison to the weight of the person.
2. Does the "no slip" distance d depend on ? If yes, then find the
angle 0 which makes it safe for the person to reach the top.
W
friction
Transcribed Image Text:no friction Will the ladder slip? A ladder of length l = 4m rests against a wall at 0 = 60°. Assume that there is no friction between the ladder and A ladder the vertical wall but there is friction between the ground and the ladder with u = 0.5. A person weighing 700 N starts to climb up the ladder. 1. Can the person make it to the top safely (without the ladder slipping)? If not, then find the distance d along the ladder that the person can climb safely. Ignore the weight of the ladder in comparison to the weight of the person. 2. Does the "no slip" distance d depend on ? If yes, then find the angle 0 which makes it safe for the person to reach the top. W friction
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