Statics — Force System Classification Coplanar non-concurrent forces are those forces which ______ at one point, while their lines of action lie in the same plane.
-
Ameet
-
Bdo not meet
-
Cmust be parallel only
-
Dmust be equal and opposite
-
E—
Answer
Correct Answer: do not meet
Explanation
Introduction / Context: Classifying systems of forces guides the choice of equilibrium equations and solution strategy. “Coplanar” refers to forces whose lines of action lie in a single plane; “concurrent” refers to whether those lines intersect at a common point.
Given Data / Assumptions:
- All forces are coplanar (2D).
- Their lines of action do not intersect at one point.
Concept / Approach: Coplanar concurrent forces meet at a single point. Coplanar non-concurrent forces do not all intersect at one point; they may be parallel, form a general 2D system, or intersect pairwise at different points. Such systems typically require both ΣF = 0 components and ΣM = 0 to solve.
Step-by-Step Reasoning:
Check plane: forces are coplanar ⇒ 2D statics applies. Check concurrency: non-concurrent ⇒ no single common intersection. Definition therefore: they “do not meet” at one point.Verification / Alternative check: Examples include a beam with multiple non-collinear loads and reactions. Not all lines of action intersect at one point, yet all lie in the beam’s plane.
Why Other Options Are Wrong: “Meet” defines concurrent forces; “Must be parallel only” is too restrictive (non-concurrent sets can be non-parallel); “Equal and opposite” would be a special case forming a couple.
Common Pitfalls: Confusing “non-concurrent” with “parallel”; assuming coplanar automatically implies concurrency.
Final Answer: do not meet.