7. A ladder of length 12 m leaning up against a wall makes a 50 degree angle with the ground. The top of the ladder has sliders so that it can slide up and down the wall. Therefore, consider the top of the ladder to be frictionless. The ladder has a weight of 189 N that acts at its center. Someone weighing Fg = 1000 N is 0.92 m vertically below B, but on the ladder. Another person is on the ground holding the ladder by pushing on it horizontally with a force F. If the coefficient of static friction is 0.32, find the horizontal force F that must be applied at a vertical height of 1.2 m to prevent the ladder from slipping. F 2 m 12 m 50⁰ Fg B .92 m

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
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Problem 7.72P
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7. A ladder of length 12 m leaning up against a wall makes a 50 degree angle with the
ground. The top of the ladder has sliders so that it can slide up and down the wall.
Therefore, consider the top of the ladder to be frictionless. The ladder has a weight of
189 N that acts at its center. Someone weighing Fg = 1000 N is 0.92 m vertically below B,
but on the ladder. Another person is on the ground holding the ladder by pushing on it
horizontally with a force F. If the coefficient of static friction is 0.32, find the horizontal
force F that must be applied at a vertical height of 1.2 m to prevent the ladder from
slipping.
LL
F
1.2 m
12 m
50⁰
Fg
B
.92 m
Transcribed Image Text:7. A ladder of length 12 m leaning up against a wall makes a 50 degree angle with the ground. The top of the ladder has sliders so that it can slide up and down the wall. Therefore, consider the top of the ladder to be frictionless. The ladder has a weight of 189 N that acts at its center. Someone weighing Fg = 1000 N is 0.92 m vertically below B, but on the ladder. Another person is on the ground holding the ladder by pushing on it horizontally with a force F. If the coefficient of static friction is 0.32, find the horizontal force F that must be applied at a vertical height of 1.2 m to prevent the ladder from slipping. LL F 1.2 m 12 m 50⁰ Fg B .92 m
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