A stepladder of negligible weight is constructed as shown with AC = BC = L. A painter of mass m stands on the ladder a distance d from the bottom. Assuming the floor is frictionless, find a) the tension in the horizontal bar DE connecting the two halves of the ladder, b) The normal forces at A and B and c) the components of the reaction force at the single hinge C that the left half of the ladder exerts on the right half. (Suggestion: treat the ladder as a single object, but also treat each half of the ladder separately.)

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A stepladder of negligible weight is constructed as shown with AC = BC =
L. A painter of mass m stands on the ladder a distance d from the bottom.
Assuming the floor is frictionless, find a) the tension in the horizontal bar DE
connecting the two halves of the ladder, b) The normal forces at A and B and c)
the components of the reaction force at the single hinge C that the left half of
the ladder exerts on the right half. (Suggestion: treat the ladder as a single
object, but also treat each half of the ladder separately.)
B
Transcribed Image Text:A stepladder of negligible weight is constructed as shown with AC = BC = L. A painter of mass m stands on the ladder a distance d from the bottom. Assuming the floor is frictionless, find a) the tension in the horizontal bar DE connecting the two halves of the ladder, b) The normal forces at A and B and c) the components of the reaction force at the single hinge C that the left half of the ladder exerts on the right half. (Suggestion: treat the ladder as a single object, but also treat each half of the ladder separately.) B
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