Stuck on ladder problem, know the solution but need an explanation

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SUMMARY

The discussion centers on calculating the forces acting on a ladder in equilibrium, specifically focusing on the torque equation f3(3.8) - mg(2.15) = 0. The user is confused about the correctness of this expression for torque. The correct approach requires including the forces from the man's weight and the ladder's weight, along with their respective perpendicular distances from the base of the ladder. The total torque must account for all forces acting on the ladder to ensure equilibrium.

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Homework Statement


http://www.webassign.net/walker/p11-78alt.gif
An 85 kg person stands on a uniform ladder that is 4.3 m long and weighs 65.0 N. The floor is rough; hence it exerts both a normal force, f1, and a frictional force, f2, on the ladder. The wall, on the other hand, is frictionless; it exerts only a normal force, f3. Use the dimensions in the figure to find the following. (a = 3.8 m.)
f1=?
f2=?
f3=?


Homework Equations



I know the solution but I don't understand why f3(3.8)-mg(2.15)=0. How is this a correct expression of the torque?

The Attempt at a Solution

 
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BifSlamkovich said:

Homework Statement


http://www.webassign.net/walker/p11-78alt.gif
An 85 kg person stands on a uniform ladder that is 4.3 m long and weighs 65.0 N. The floor is rough; hence it exerts both a normal force, f1, and a frictional force, f2, on the ladder. The wall, on the other hand, is frictionless; it exerts only a normal force, f3. Use the dimensions in the figure to find the following. (a = 3.8 m.)
f1=?
f2=?
f3=?


Homework Equations



I know the solution but I don't understand why f3(3.8)-mg(2.15)=0. How is this a correct expression of the torque?

The Attempt at a Solution

It is not. The correct expression for torque about the base of the ladder must include f3, the man's weight, and the ladder weight, using the appropriate perpendicular diatances from those forces to the ladder base to calculate the respective torques and signs of the torques. You are missing a few dimensions.
 

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