The discussion focuses on calculating the reaction forces acting on a 6m ladder leaning against a smooth wall at a 25-degree angle, with a 75kg woman positioned halfway up the ladder. The key calculations involve determining the horizontal reaction force from the wall and the vertical reaction force from the floor. The equilibrium conditions dictate that the sum of horizontal and vertical forces, as well as the torque around any axis, must equal zero. A graphical solution approach is suggested for visualizing these forces.
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A ladder of 6m long rests along a smooth wall at 25" from the wall. The floor on which the ladder rests is rough. Standing half way up the ladder is a woman of mass 75kg. Assuming the ladder does not slip. Determine by graphical solution
a. The reaction between the ladder and the wall.
b. The reaction of the floor and the ladder.