How Do Moments and Lines of Action Relate to Equilibrium?

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In equilibrium, it is not required for all lines of action to intersect at a single point, especially in cases where forces are coplanar and parallel, such as with a balanced plank. The key condition for equilibrium is that the sum of forces and the sum of moments must both equal zero. A plank balanced at its center can have forces acting on both sides without creating moments, as long as the forces are equal and opposite. This demonstrates that equilibrium can occur without the lines of action converging at a single point. Understanding these concepts clarifies the relationship between moments, lines of action, and equilibrium.
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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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