How Do Moments and Lines of Action Relate to Equilibrium?

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SUMMARY

In the context of equilibrium, it is established that for a system to be in equilibrium without moments about any point, all lines of action must converge at a single point. However, a specific scenario arises when three coplanar and parallel forces act on a balanced plank, where the forces can still achieve equilibrium without their lines of action meeting at a single point. This distinction clarifies the relationship between moments and lines of action in static systems.

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qazxsw11111
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Ok, so for equilibrium (no moment about any point), all the lines of action must pass through a single point right? But what about a plank, balanced at its centre, with forces on both sides of the plank so the forces are in equilibrium, and there is no moments also. But what about the line of action meet at a point thing? This confuses me lol.
 
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qazxsw11111 said:
Ok, so for equilibrium (no moment about any point), all the lines of action must pass through a single point right?
Not necessarily. A special case is when the three forces are coplanar and parallel, which applies to your plank example.
 

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