The system of the collinear and the parallel force in free body diagra...
The simplification is easy. The simplified force system gives us a net force and the parallel force system gives us a simplified force, and then we add it vectorially. Thus the vector addition at the last can be easily done and thus both can be simplified.
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The system of the collinear and the parallel force in free body diagra...
Introduction:
In free body diagrams, we often encounter collinear and parallel force systems. These force systems can be simplified to make the analysis easier. The simplified collinear force system provides a net force, while the parallel force system gives a simplified force. These simplifications are done to simplify the calculation process and to make it easier to understand the forces acting on a body.
Explanation:
Simplified collinear force system:
1. In a collinear force system, all the forces are acting along the same line of action.
2. To simplify this system, we can replace the individual forces with a single net force that has the same magnitude and direction as the sum of all the individual forces.
3. This net force represents the overall effect of the collinear forces acting on the body.
4. By using the net force, we can analyze the motion of the body or calculate its acceleration or deceleration.
Parallel force system:
1. In a parallel force system, all the forces are acting parallel to each other but at different locations.
2. To simplify this system, we can replace the individual forces with a single simplified force called the resultant force.
3. The resultant force has the same magnitude and direction as the sum of all the individual forces.
4. The simplified force represents the overall effect of the parallel forces acting on the body.
5. By using the resultant force, we can analyze the equilibrium or motion of the body.
Combining the simplifications:
1. The simplified collinear force system provides us with a net force, which represents the overall effect of the collinear forces.
2. The parallel force system gives us a simplified force, which represents the overall effect of the parallel forces.
3. To determine the total force acting on the body, we need to consider both the net force from the collinear system and the simplified force from the parallel system.
4. We can add these forces vectorially to obtain the total force acting on the body.
5. This approach allows us to simplify the analysis of complex force systems and make it easier to understand the forces acting on a body.
Conclusion:
In free body diagrams, the collinear and parallel force systems are simplified to make the analysis easier. The simplified collinear force system provides a net force, while the parallel force system gives a simplified force. These simplifications are done by replacing the individual forces with a single net force or resultant force. By considering both the net force and the simplified force, we can determine the total force acting on the body. This approach simplifies the analysis of complex force systems and helps us understand the forces acting on a body.
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