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You are working as an assistant to your cousin, who is an architect. She is currently...

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Physics

You are working as an assistant to your cousin, who is anarchitect. She is currently designing the lobby for a new luxuryhotel. The lobby will include a walkway suspended above the mainlevel. Her design will include the following features. Above thewalkway, attached at various points along its length, will bevertical steel cables of diameter 1.27 cm and unstressed length5.65 m. These cables will run upward from the walkway and beattached to a rigid beam in the internal structure of the lobby.Below each point of attachment of a vertical cable will be analuminum column on which the walkway rests. Each column is a hollowcylinder of inner diameter 16.04 cm and outer diameter 16.18 cm.Before the walkway is installed, the columns will extend 3.25 mfrom the floor of the lobby to the height at which the bottom ofthe walkway will lie. Suppose the walkway and any individualswalking on it exert a downward force of magnitude F = 8,900 N on aparticular attachment point to a cable above and the correspondingcolumn below. Before committing to this design, your cousin asksyou to determine how far the point of attachment of the walkwaywill move downward under these load conditions.

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