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 ϕ relative to the horizontal.

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 ϕ relative to the horizontal.

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Question

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The ladder has a length L and makes an angle of θ with respect to the vertical wall. You have a mass, m_Y, and are a horizontal distance x from the wall. The ladder has a mass of m_L. Because the wall is slick, and the ice on the floor is slick, the frictional forces acting on the ladder are negligible. 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,mL,θ,ϕ. Then use the following values to get a number for the magnitude of F_AL

θ = 34.4 degrees
ϕ = 26.144 degrees
x = 1.612 meters
L = 6.2 meters
m_Y = 98.0 kg
m_L = 32.34 kg

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