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A couple is formed when:
  • a)
    Two unequal and unlike parallel force acting on a body
  • b)
    Two unequal and like parallel force acting on a body
  • c)
    Two equal and unlike parallel force acting on a body
  • d)
    Two equal and like parallel force acting on a body
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A couple is formed when:a)Two unequal and unlike parallel force acting...
A couple consists of two parallel forces that are equal in magnitudeopposite in sense and do not share a line of action. It does not produce any translation, only rotation. The resultant force of a couple is zero. But, the resultant of a couple is not zero; it is a pure moment.
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A couple is formed when:a)Two unequal and unlike parallel force acting...
Understanding Couples in Mechanics
A couple is a fundamental concept in mechanics, particularly in the study of forces and their effects on bodies. It consists of two equal and opposite forces that create a rotational effect without causing any linear motion.
Key Characteristics of a Couple:
- Two Equal Forces: A couple is formed by two forces that are equal in magnitude. This ensures that the forces balance each other out in terms of linear motion.
- Unlike Directions: The forces act in opposite directions. This opposition is crucial as it creates a torque or moment about a point.
- Parallel Forces: The forces in a couple are parallel to each other, meaning they do not intersect. This parallel nature is essential for ensuring that the rotational effect is produced without any net force acting on the body.
Why Option 'C' is Correct:
- Equal and Unlike Forces: Option 'C' states that a couple is formed by two equal and unlike parallel forces. This aligns perfectly with the definition and characteristics of a couple.
- Resulting Torque: The equal and opposite nature of the forces generates a torque, which tends to make the body rotate about an axis. The magnitude of the torque is calculated as the product of one of the forces and the perpendicular distance between the lines of action of the forces.
Conclusion:
Understanding the concept of couples is vital in mechanical engineering. It applies to various scenarios, from simple lever systems to complex machinery. Recognizing that a couple consists of two equal and unlike parallel forces is essential for analyzing rotational systems effectively.
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