Problem

The following event actually occurred on the Sunshine Skyway Bridge near St. Petersburg, F...

The following event actually occurred on the Sunshine Skyway Bridge near St. Petersburg, Florida, in 1997. Five dare­devils tied a 55-m-long cable to the center of the bridge, They hoped to swing back and forth under the bridge at the end of this cable. The five people (total weight = W) attached them­selves to the end of the cable, at the same level and 55 m away from where it was attached to the bridge and dropped straight down from the bridge, following the dashed circular path indicated in the figure. Unfortunately, the daredevils were not well versed in the laws of physics, and the cable broke (at the point it was linked to their seats) at the bottom of their swing. Determine how strong the cable (and all the links where the seats and the bridge are attached to it) would have to be in order to support the five people at the bottom of the swing. Express your result in terms of their total weight, W.

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