ladder does not collapse by exerting a force FAL at an angle o relative to the horizontal. See the diagram below. You Wall AL X

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter4: The Laws Of Motion
Section: Chapter Questions
Problem 14CQ: Give reasons for the answers to each of the following questions: (a) Can a normal force be...
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I am unsure how to start this problem. I know that forces will cancel out with the chosen rotation but I don't know how to do this.

You are working in an ice skating rink and have been asked to hang a new banner on the wall. Your friend is helping you so that the
ladder does not collapse by exerting a force FAL at an angle o relative to the horizontal. See the diagram below.
You
Wall
AL
Ice Floor
The ladder has a length L and makes an angle of 0 with respect to the vertical wall. You have a mass, my, and are a horizontal
distance x from the wall. The ladder has a mass of mL. Because the wall is slick, and the ice on the floor is slick, the frictional forces
acting on the ladder are negligible.
Transcribed Image Text:You are working in an ice skating rink and have been asked to hang a new banner on the wall. Your friend is helping you so that the ladder does not collapse by exerting a force FAL at an angle o relative to the horizontal. See the diagram below. You Wall AL Ice Floor The ladder has a length L and makes an angle of 0 with respect to the vertical wall. You have a mass, my, and are a horizontal distance x from the wall. The ladder has a mass of mL. Because the wall is slick, and the ice on the floor is slick, the frictional forces acting on the ladder are negligible.
Part One
Find a formula for the magnitude of the force that your friend must exert to keep the ladder from falling, in terms of the following
variables: x, L, my, mµ,0, ¢. Then use the following values to get a number for the magnitude of FAL-
0 = 32.5 degrees
O = 23.075 degrees
x = 2.784 meters
L = 9.6 meters
тү 3 82 kg
mL = 39.36 kg
A Hint About the AOR
FAL =
Transcribed Image Text:Part One Find a formula for the magnitude of the force that your friend must exert to keep the ladder from falling, in terms of the following variables: x, L, my, mµ,0, ¢. Then use the following values to get a number for the magnitude of FAL- 0 = 32.5 degrees O = 23.075 degrees x = 2.784 meters L = 9.6 meters тү 3 82 kg mL = 39.36 kg A Hint About the AOR FAL =
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