A ladder of length L and mass m leans against the side of a house, making an angle of θ� with the vertical.  Assume that the ladder is free to slide at the point where it touches the side of the house (there is no significant friction). Find an expression for the magnitude of the normal force that the side of the house exerts on that end of the ladder in terms of m, g, L, and θ� .  Evaluate the result for a ladder of mass 34 kg, a length of 4 m, and an angle of 25o from the vertical.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
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Problem 64PQ: A One end of a metal rod of weight Fg and length L presses against a corner between a wall and the...
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A ladder of length L and mass m leans against the side of a house, making an angle of θ� with the vertical.  Assume that the ladder is free to slide at the point where it touches the side of the house (there is no significant friction). Find an expression for the magnitude of the normal force that the side of the house exerts on that end of the ladder in terms of mgL, and θ� .  Evaluate the result for a ladder of mass 34 kg, a length of 4 m, and an angle of 25o from the vertical.  

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