To get up on the roof, a person (mass 66.7 kg) places an aluminum ladder (mass 9.30 kg) against the house on a concrete pad with the base of the ladder 2.27 m from the house. The ladder rests on a plastic rain gutter, which we can assume to be frictionless. The gutter is 6.96 m from the bottom of the ladder. The center of mass of the ladder is 2.32 m from the bottom. The person is standing 3.32 m from the bottom of the ladder. What are the magnitudes of the forces on the ladder at the top and bottom? At bottom of ladder: normal force = 775 friction force = 106 Magnitude of force on bottom of ladder = 782 N At top of ladder, normal force = 106

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.122P: The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate...
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To get up on the roof, a person (mass 66.7 kg) places an aluminum ladder (mass 9.30 kg) against the house
on a concrete pad with the base of the ladder 2.27 m from the house. The ladder rests on a plastic rain
gutter, which we can assume to be frictionless. The gutter is 6.96 m from the bottom of the ladder. The
center of mass of the ladder is 2.32 m from the bottom. The person is standing 3.32 m from the bottom of
the ladder.
What are the magnitudes of the forces on the ladder at the top and bottom?
At bottom of ladder:
normal force = 775
friction force = 106
o N
Magnitude of force on bottom of ladder = 782
x N
At top of ladder, normal force = 106
X N
Transcribed Image Text:To get up on the roof, a person (mass 66.7 kg) places an aluminum ladder (mass 9.30 kg) against the house on a concrete pad with the base of the ladder 2.27 m from the house. The ladder rests on a plastic rain gutter, which we can assume to be frictionless. The gutter is 6.96 m from the bottom of the ladder. The center of mass of the ladder is 2.32 m from the bottom. The person is standing 3.32 m from the bottom of the ladder. What are the magnitudes of the forces on the ladder at the top and bottom? At bottom of ladder: normal force = 775 friction force = 106 o N Magnitude of force on bottom of ladder = 782 x N At top of ladder, normal force = 106 X N
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