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The couple is a scalar quantity and the force is vector quantity and hence only force can be simplified as _____
- a)The first part of the statement is false and another part is true
- b)The first part of the statement is false and another part is false too
- c)The first part of the statement is true and another part is false
- d)The first part of the statement is true and another part is true too
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The couple is a scalar quantity and the force is vector quantity and h...
Explanation:
The given statement states that "The couple is a scalar quantity and the force is a vector quantity, and hence only force can be simplified."
To determine the correctness of this statement, we need to understand the definitions and properties of both couple and force.
1. Couple:
A couple is a system of forces that act on a body but do not have a resultant force or a resultant moment about any point. It consists of two parallel forces with equal magnitudes and opposite directions, but they are not collinear. The magnitude of the couple is given by the product of one of the forces and the perpendicular distance between the forces.
2. Force:
A force is a vector quantity that has both magnitude and direction. It can be represented by an arrow, where the length of the arrow represents the magnitude of the force and the direction of the arrow represents the direction of the force.
Explanation of the given statement:
The given statement states that the couple is a scalar quantity and the force is a vector quantity. However, this statement is incorrect. Here's why:
1. Couple is not a scalar quantity:
A couple cannot be considered a scalar quantity because it has both magnitude (product of force and distance) and direction (perpendicular to the plane in which the forces act). Therefore, the first part of the statement is false.
2. Force is a vector quantity:
This part of the statement is true. A force is a vector quantity as it possesses both magnitude and direction. It follows the laws of vector addition and subtraction. Forces can be added using vector addition, and their resultant can be determined.
Conclusion:
Based on the explanations provided above, we can conclude that the correct answer is option 'A': The first part of the statement is false, and the second part is true. The couple is not a scalar quantity, and the force is a vector quantity.
The given statement states that "The couple is a scalar quantity and the force is a vector quantity, and hence only force can be simplified."
To determine the correctness of this statement, we need to understand the definitions and properties of both couple and force.
1. Couple:
A couple is a system of forces that act on a body but do not have a resultant force or a resultant moment about any point. It consists of two parallel forces with equal magnitudes and opposite directions, but they are not collinear. The magnitude of the couple is given by the product of one of the forces and the perpendicular distance between the forces.
2. Force:
A force is a vector quantity that has both magnitude and direction. It can be represented by an arrow, where the length of the arrow represents the magnitude of the force and the direction of the arrow represents the direction of the force.
Explanation of the given statement:
The given statement states that the couple is a scalar quantity and the force is a vector quantity. However, this statement is incorrect. Here's why:
1. Couple is not a scalar quantity:
A couple cannot be considered a scalar quantity because it has both magnitude (product of force and distance) and direction (perpendicular to the plane in which the forces act). Therefore, the first part of the statement is false.
2. Force is a vector quantity:
This part of the statement is true. A force is a vector quantity as it possesses both magnitude and direction. It follows the laws of vector addition and subtraction. Forces can be added using vector addition, and their resultant can be determined.
Conclusion:
Based on the explanations provided above, we can conclude that the correct answer is option 'A': The first part of the statement is false, and the second part is true. The couple is not a scalar quantity, and the force is a vector quantity.
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Community Answer
The couple is a scalar quantity and the force is vector quantity and h...
Both of them are vector quantities. And both of them can be easily simplified. If taken in the vector form then the task is even easier. Thus it is not necessary for the force or the couple to be vector only, even if the magnitude is taken, the simplification is done in the 2D.
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The couple is a scalar quantity and the force is vector quantity and hence only force can be simplified as _____a)The first part of the statement is false and another part is trueb)The first part of the statement is false and another part is false tooc)The first part of the statement is true and another part is falsed)The first part of the statement is true and another part is true tooCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The couple is a scalar quantity and the force is vector quantity and hence only force can be simplified as _____a)The first part of the statement is false and another part is trueb)The first part of the statement is false and another part is false tooc)The first part of the statement is true and another part is falsed)The first part of the statement is true and another part is true tooCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The couple is a scalar quantity and the force is vector quantity and hence only force can be simplified as _____a)The first part of the statement is false and another part is trueb)The first part of the statement is false and another part is false tooc)The first part of the statement is true and another part is falsed)The first part of the statement is true and another part is true tooCorrect answer is option 'A'. Can you explain this answer?.
The couple is a scalar quantity and the force is vector quantity and hence only force can be simplified as _____a)The first part of the statement is false and another part is trueb)The first part of the statement is false and another part is false tooc)The first part of the statement is true and another part is falsed)The first part of the statement is true and another part is true tooCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The couple is a scalar quantity and the force is vector quantity and hence only force can be simplified as _____a)The first part of the statement is false and another part is trueb)The first part of the statement is false and another part is false tooc)The first part of the statement is true and another part is falsed)The first part of the statement is true and another part is true tooCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The couple is a scalar quantity and the force is vector quantity and hence only force can be simplified as _____a)The first part of the statement is false and another part is trueb)The first part of the statement is false and another part is false tooc)The first part of the statement is true and another part is falsed)The first part of the statement is true and another part is true tooCorrect answer is option 'A'. Can you explain this answer?.
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