A ladder is leaning against a vertical wall, and both ends of the ladder are at the point of slipping. The coefficient of friction between the ladder and the horizontal surface is ?1=0.165 and the coefficient of friction between the ladder and the wall is ?2=0.153 . Determine the maximum angle α with the vertical that the ladder can make without falling on the ground.
A ladder is leaning against a vertical wall, and both ends of the ladder are at the point of slipping. The coefficient of friction between the ladder and the horizontal surface is ?1=0.165 and the coefficient of friction between the ladder and the wall is ?2=0.153 . Determine the maximum angle α with the vertical that the ladder can make without falling on the ground.
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Question
A ladder is leaning against a vertical wall, and both ends of the ladder are at the point of slipping. The coefficient of friction between the ladder and the horizontal surface is ?1=0.165 and the coefficient of friction between the ladder and the wall is ?2=0.153 .
Determine the maximum angle α with the vertical that the ladder can make without falling on the ground.
![A ladder is leaning against a vertical wall, and both ends of the ladder are at the point of slipping. The coefficient of friction between the ladder and the horizontal surface is \( \mu_1 = 0.165 \) and the coefficient of friction between the ladder and the wall is \( \mu_2 = 0.153 \).
[Diagram Description: The diagram shows a ladder leaning against a vertical wall with the ground represented by a horizontal line. The ladder forms an angle \( \alpha \) with the vertical wall. An \( x, y \) coordinate system is shown for reference. The coefficient of friction \( \mu_2 \) is labeled on the wall, and \( \mu_1 \) is labeled on the ground where the ladder touches.]
Determine the maximum angle \( \alpha \) with the vertical that the ladder can make without falling on the ground.
\( \alpha = \) [Input Box] [Degrees Symbol]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2909b4bc-a111-45af-b820-d81bef522703%2Fe48bbe8e-42d5-4410-a8c1-f60b3edb06ef%2Fseudsc5f_processed.png&w=3840&q=75)
Transcribed Image Text:A ladder is leaning against a vertical wall, and both ends of the ladder are at the point of slipping. The coefficient of friction between the ladder and the horizontal surface is \( \mu_1 = 0.165 \) and the coefficient of friction between the ladder and the wall is \( \mu_2 = 0.153 \).
[Diagram Description: The diagram shows a ladder leaning against a vertical wall with the ground represented by a horizontal line. The ladder forms an angle \( \alpha \) with the vertical wall. An \( x, y \) coordinate system is shown for reference. The coefficient of friction \( \mu_2 \) is labeled on the wall, and \( \mu_1 \) is labeled on the ground where the ladder touches.]
Determine the maximum angle \( \alpha \) with the vertical that the ladder can make without falling on the ground.
\( \alpha = \) [Input Box] [Degrees Symbol]
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