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The axis vector in the calculation of the moment along the axis of rotation is the axis which is collinear with the force vector.
- a)True
- b)False
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The axis vector in the calculation of the moment along the axis of rot...
The axis of the rotation cannot be collinear with the force vector. If it does so then the rotation of body is not possible. That is the moment of the force is zero. Which means no rotation being given by the force along the axis of rotation of the body.
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The axis vector in the calculation of the moment along the axis of rot...
The statement is false. The axis vector in the calculation of the moment along the axis of rotation is not necessarily collinear with the force vector. The moment is a vector quantity that describes the rotational effect of a force about a particular axis of rotation. It is given by the cross product of the position vector and the force vector.
The moment vector is perpendicular to the plane formed by the position vector and the force vector, and its direction is determined by the right-hand rule. The axis of rotation is defined as the line along which the moment vector lies. It is important to note that the axis of rotation is not necessarily collinear with the force vector.
Explanation:
- The moment vector is given by the equation:
- \(\text{Moment} = \text{Position Vector} \times \text{Force Vector}\)
- The position vector is a vector that points from the axis of rotation to the point where the force is applied. It defines the location of the force with respect to the axis of rotation.
- The force vector is a vector that represents the magnitude and direction of the force being applied.
- The cross product of the position vector and the force vector gives the moment vector, which describes the rotational effect of the force about the axis of rotation.
- Since the moment vector is perpendicular to the plane formed by the position vector and the force vector, the axis of rotation is also perpendicular to this plane.
- Therefore, the axis of rotation is not necessarily collinear with the force vector. It depends on the orientation of the position vector and the force vector relative to each other.
- In general, the axis of rotation can be any line that is perpendicular to the plane formed by the position vector and the force vector, and it passes through the point of rotation.
- So, the statement that the axis vector in the calculation of the moment along the axis of rotation is collinear with the force vector is false.
The moment vector is perpendicular to the plane formed by the position vector and the force vector, and its direction is determined by the right-hand rule. The axis of rotation is defined as the line along which the moment vector lies. It is important to note that the axis of rotation is not necessarily collinear with the force vector.
Explanation:
- The moment vector is given by the equation:
- \(\text{Moment} = \text{Position Vector} \times \text{Force Vector}\)
- The position vector is a vector that points from the axis of rotation to the point where the force is applied. It defines the location of the force with respect to the axis of rotation.
- The force vector is a vector that represents the magnitude and direction of the force being applied.
- The cross product of the position vector and the force vector gives the moment vector, which describes the rotational effect of the force about the axis of rotation.
- Since the moment vector is perpendicular to the plane formed by the position vector and the force vector, the axis of rotation is also perpendicular to this plane.
- Therefore, the axis of rotation is not necessarily collinear with the force vector. It depends on the orientation of the position vector and the force vector relative to each other.
- In general, the axis of rotation can be any line that is perpendicular to the plane formed by the position vector and the force vector, and it passes through the point of rotation.
- So, the statement that the axis vector in the calculation of the moment along the axis of rotation is collinear with the force vector is false.
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The axis vector in the calculation of the moment along the axis of rotation is the axis which is collinear with the force vector.a)Trueb)FalseCorrect answer is option 'B'. 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 axis vector in the calculation of the moment along the axis of rotation is the axis which is collinear with the force vector.a)Trueb)FalseCorrect answer is option 'B'. 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 axis vector in the calculation of the moment along the axis of rotation is the axis which is collinear with the force vector.a)Trueb)FalseCorrect answer is option 'B'. Can you explain this answer?.
The axis vector in the calculation of the moment along the axis of rotation is the axis which is collinear with the force vector.a)Trueb)FalseCorrect answer is option 'B'. 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 axis vector in the calculation of the moment along the axis of rotation is the axis which is collinear with the force vector.a)Trueb)FalseCorrect answer is option 'B'. 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 axis vector in the calculation of the moment along the axis of rotation is the axis which is collinear with the force vector.a)Trueb)FalseCorrect answer is option 'B'. Can you explain this answer?.
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