What is the algebraic summation of moments produced by a couple's forces taken about any point in their plane__________________?
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Answer: A. equal to the moment of the couple
Explanation
A couple consists of two parallel forces that are equal in magnitude and opposite in direction. Taking the algebraic sum of their moments about any arbitrary point in their plane yields a constant value. This resultant moment is always equal to the magnitude of the couple itself regardless of the chosen pivot. The moment of a couple is independent of the reference point chosen for the moment calculation. Couples produce pure rotation without imparting any net translational acceleration to the rigid body. Static equilibrium principles state that moments can be summed around any point in a coplanar system.
Option B is partially correct because the sum is constant, but it misses the explicit equality to the couple moment. Option D is incorrect because the fundamental rules of statics validate the couple moment theorem. Option E fails to recognize that the standard theorem correctly answers the posed mechanics question.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
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