Classification of force systems — which term fits? Forces that are concurrent (meet at one point) and whose lines of action also lie in the same plane are called:
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Acoplaner concurrent forces
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Bcoplaner non-concurrent forces
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Cnon-coplaner concurrent forces
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Dnon-coplaner non-concurrent forces
Answer
Correct Answer: coplaner concurrent forces
Explanation
Introduction / Context:Correctly classifying force systems helps you choose the right equilibrium equations. For particles (or pins) with forces meeting at a point, ΣF = 0 in two orthogonal directions is sufficient in 2D; for general rigid bodies, you must also consider moments.
Given Data / Assumptions:
- The forces meet at a single point (concurrent).
- Their lines of action lie in the same geometric plane (coplanar).
- We are naming the type of system only.
Concept / Approach:Terminology: “coplanar” refers to lying in the same plane; “non-coplanar” means 3D distribution. “Concurrent” means all lines of action intersect at a common point; “non-concurrent” means they do not. Thus, a set of forces meeting at one point in a single plane is a system of coplanar concurrent forces.
Step-by-Step Solution:Identify planarity: all in one plane ⇒ coplanar.Identify concurrency: meet at one point ⇒ concurrent.Combine descriptors ⇒ coplanar concurrent forces.Select the option that states this explicitly.
Verification / Alternative check:Particle equilibrium is a classic example: weight, normal reaction, tension at a point are coplanar and concurrent; ΣF_x = 0 and ΣF_y = 0 ensure equilibrium without needing a moment equation about that point.
Why Other Options Are Wrong:
- Coplanar non-concurrent: lines of action do not meet—different class.
- Non-coplanar concurrent / non-concurrent: imply 3D, not the 2D case described.
Common Pitfalls:
- Confusing “passing near a point” with true concurrency; the lines must intersect at exactly one point.
Final Answer:coplaner concurrent forces