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Q: Which of the following is NOT a characteristic of a couple in engineering mechanics?
  • A. The algebraic sum of the moments of the forces, constituting the couple, about any points is the same, and equal to the resultant of the couple itself
  • B. The algebraic sum of the forces, constituting the couple is zero
  • C. Any number of coplanar couples can be reduced to a single couple, whose magnitude will be equal to the algebraic sum of the moments of all the couples
  • D. A couple cannot be balanced by a single force but it can be balanced only by a couple of opposite sense
Correct Answer: Option A - Characteristics of a couple- A couple has the following characteristics The algebraic sum of the forces, constituting the couple is zero. As per Varignon theorem, the algebraic sum of the moments of the forces, constituting the couple about any point is the same, and equal to the moment of the couple itself A couple cannot be balanced by a single force. But it can be balanced only by a couple of opposite sense. Any number of coplanar couples can be reduces to a resultant single couple, whose magnitude will be equal to the algebraic sum of the moments of all the components couples.
A. Characteristics of a couple- A couple has the following characteristics The algebraic sum of the forces, constituting the couple is zero. As per Varignon theorem, the algebraic sum of the moments of the forces, constituting the couple about any point is the same, and equal to the moment of the couple itself A couple cannot be balanced by a single force. But it can be balanced only by a couple of opposite sense. Any number of coplanar couples can be reduces to a resultant single couple, whose magnitude will be equal to the algebraic sum of the moments of all the components couples.

Explanations:

Characteristics of a couple- A couple has the following characteristics The algebraic sum of the forces, constituting the couple is zero. As per Varignon theorem, the algebraic sum of the moments of the forces, constituting the couple about any point is the same, and equal to the moment of the couple itself A couple cannot be balanced by a single force. But it can be balanced only by a couple of opposite sense. Any number of coplanar couples can be reduces to a resultant single couple, whose magnitude will be equal to the algebraic sum of the moments of all the components couples.