You are working in an ice skating rink and have been asked to hang a new banner
Question:
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 relative to the horizontal. See the diagram below.
The ladder has a length L and makes an angle of 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. 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, ?, ?. Then use the following values to get a number for FAL.
? = 26.7 degrees
? = 21.093 degrees
x = 1.633 meters
L = 7.1 meters
my = 99.0 kg
mL = 36.63 kg
FAL= ????