A ladder of length l = 4 m 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. a. 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. b. 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. ~no friction A - ladder W friction

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A ladder of length

A ladder of length l = 4 m 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.
a. 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.
b. 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.
~no friction
A
- ladder
W
friction
Transcribed Image Text:A ladder of length l = 4 m 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. a. 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. b. 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. ~no friction A - ladder W friction
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