The algebraic summation of the scalar components of multiple forces along a fixed axis equals the component of their resultant along that same axis, according to the principle of__________________?
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Answer: E. resolution of forces
Explanation
The principle of resolution of forces states that the sum of scalar components of forces along an axis equals the component of their resultant along that axis. This principle allows complex multi-force systems to be broken down into orthogonal directional components. Vector addition is simplified by summing scalar components independently along each coordinate axis. Force components are the effective projections of a vector along specified geometric coordinate axes. Resultant vector represents the single equivalent force that produces the exact same mechanical effect. Orthogonal resolution uses sine and cosine functions to project forces onto perpendicular axes.
Structural analysts use force resolution to determine axial forces in truss members and support reactions. Free-body diagrams rely on component resolution to satisfy static equilibrium equations in two or three dimensions. This foundational technique is essential for solving complex engineering statics and dynamics problems. Option A is too broad, merely naming forces without describing the specific component summation rule. Option B refers to force independence laws rather than the component resolution principle. Option D uses non-standard terminology instead of the established principle of resolution.
- Subject
- Engineering
- Category
- Civil Engineering
- Topic
- —
- Difficulty
- medium
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