Resultant of a force system The process of determining a single force that can replace a given system of forces (i.e., the resultant) is called __________ of forces.
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Acomposition
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Bresolution
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Caggregation
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Dequilibration
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Esuperposition
Answer
Correct Answer: composition
Explanation
Introduction / Context:In engineering mechanics, two complementary operations are routinely used: finding a resultant (one force replacing many) and splitting a force into components. This question tests your terminology.
Given Data / Assumptions:
- We are asked about the name of the process that yields a resultant force.
- No numerical data are required; this is a definition/terminology check.
Concept / Approach:Composition of forces means combining multiple forces into a single resultant. By contrast, resolution of forces means decomposing a single force into components along chosen axes or directions.
Step-by-Step Solution:
Identify whether the operation goes from many → one or one → many.Many → one = composition (gives a resultant).One → many = resolution (gives components).Therefore, the blank must be filled with 'composition'.Verification / Alternative check:In textbooks, section titles typically read 'Composition of Forces' for resultants and 'Resolution of Forces' for components, confirming the terminology.
Why Other Options Are Wrong:
- Resolution: Opposite operation (one force into components).
- Aggregation / Superposition: General words, not standard technical terms for the operation.
- Equilibration: Introducing equal and opposite forces to achieve equilibrium, not forming a resultant.
Common Pitfalls:Mixing up composition and resolution due to their frequent paired use. Remember the direction of the operation.
Final Answer:composition