System of forces — forces whose lines of action intersect at a single point but lie in different planes are termed:

Difficulty: Easy

Correct Answer: non-coplanar concurrent forces

Explanation:


Introduction / Context:
Classifying force systems helps select appropriate equilibrium equations. In three dimensions, concurrency (meeting at a point) and coplanarity (lying in one plane) are independent attributes. Recognizing a non-coplanar concurrent system allows simplification to moment sums about the intersection point along with vector force balance.


Given Data / Assumptions:

  • All forces intersect at a common point.
  • Their lines of action are not confined to a single plane.


Concept / Approach:

Concurrent implies a single intersection point; non-coplanar implies three-dimensional arrangement. Such systems are solvable using ΣF = 0 in vector form without needing separate couple-moment equations about arbitrary origins (since moments about the concurrency point from each force are zero).


Step-by-Step Solution:

Identify concurrency: lines of action intersect at one point.Identify non-coplanarity: cannot fit all lines of action in one plane.Therefore the correct classification is non-coplanar concurrent forces.Apply 3D equilibrium: ΣFx = ΣFy = ΣFz = 0.


Verification / Alternative check:

Drawing skew lines converging at a point confirms three-dimensional geometry with concurrency.


Why Other Options Are Wrong:

Coplanar non-concurrent: either coplanar or non-concurrent is violated. Non-coplanar non-concurrent do not meet at one point. “Intersecting forces (same plane)” contradict non-coplanarity.


Common Pitfalls:

Confusing skew lines with parallel forces; assuming concurrency implies coplanarity.


Final Answer:

non-coplanar concurrent forces

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