A stepladder of negligible weight is constructed at an angle (lookslike ^). A pa

Question

A stepladder of negligible weight is constructed at an angle (lookslike ^). A painter of mass 70.0 kg stands on the ladder 3.00 m fromthe bottom. Assuming that the floor is frictionless, find
a) the tension in the horizontal bar connecting the two halvesof the ladder
b) the normal forces at A and B
c) the components of the reaction force at the single hinge C(on the top of the ladder) that the left half of the ladder exertson the right half. (Suggestion: Treat the ladder as a singleobject, but also treat each half of the ladderseparately).
a) the tension in the horizontal bar connecting the two halvesof the ladder
b) the normal forces at A and B
c) the components of the reaction force at the single hinge C(on the top of the ladder) that the left half of the ladder exertson the right half. (Suggestion: Treat the ladder as a singleobject, but also treat each half of the ladderseparately).

Explanation / Answer

the forces acting on the left side of the ladder wx = w * sin and wy = w * cos the forces acting on the right side of the ladder wx' = w * sin and wy' = w * cos a)the tension in the horizontal bar connecting the two halvesof the ladder T = wx + wx' or T = w * sin + w * sin = 2w * sin = 2m * g* sin m = 70.0 kg,g = 9.8 m/s^2 and is the angle made by thestepladder b)the normal forces at A and B wy = w * cos and wy' = w * cos c)the components of the reaction force at the single hingeC Wx= wx - wx' = w * sin- w * sin = 0 and Wy= wy - wy' = w *cos - w * cos = 0 therefore no force acts at the single hinge C T = wx + wx' or T = w * sin + w * sin = 2w * sin = 2m * g* sin m = 70.0 kg,g = 9.8 m/s^2 and is the angle made by thestepladder b)the normal forces at A and B wy = w * cos and wy' = w * cos c)the components of the reaction force at the single hingeC Wx= wx - wx' = w * sin- w * sin = 0 and Wy= wy - wy' = w *cos - w * cos = 0 therefore no force acts at the single hinge C

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