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In rolling there is the involvement of the vector math. So for rolling which of the following is correct? (For A representing the vector representation of the axis of rotation, r the radius vector and F the force vector)
- a)A.(rxF)
- b)Ax(rxF)
- c)A.(r.F)
- d)Fx(r.F)
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
In rolling there is the involvement of the vector math. So for rolling...
The correct form of the equation is given by A.(rxF). Where A represents the vector representation of the axis of rotation, r the radius vector and F the force vector. This is usually done for determining the moment of the force about the axis. That is if body is being rotated by the force about an axis.
Most Upvoted Answer
In rolling there is the involvement of the vector math. So for rolling...
Explanation:
Rolling and Vector Math:
- In rolling motion, the vector representation of the axis of rotation (A), the radius vector (r), and the force vector (F) are involved.
- The relationship between these vectors can be expressed using vector math operations.
Correct Answer:
- The correct expression for rolling involving A, r, and F is A.(rxF).
- Here, the dot product (.) is used to represent the scalar product of vectors.
Explanation of Correct Answer:
- A.(rxF) represents the dot product of the axis of rotation (A) with the cross product of the radius vector (r) and the force vector (F).
- The dot product of A with the cross product (rxF) involves the magnitude of A, the magnitude of rxF, and the angle between A and rxF.
Significance of the Dot Product:
- The dot product helps in determining the projection of one vector onto another.
- It is used to calculate work done, angle between vectors, and other physical quantities in vector analysis.
Conclusion:
- Understanding the relationship between vectors A, r, and F is essential in analyzing rolling motion using vector math.
- The correct expression A.(rxF) accurately represents the relationship between these vectors in rolling.
Rolling and Vector Math:
- In rolling motion, the vector representation of the axis of rotation (A), the radius vector (r), and the force vector (F) are involved.
- The relationship between these vectors can be expressed using vector math operations.
Correct Answer:
- The correct expression for rolling involving A, r, and F is A.(rxF).
- Here, the dot product (.) is used to represent the scalar product of vectors.
Explanation of Correct Answer:
- A.(rxF) represents the dot product of the axis of rotation (A) with the cross product of the radius vector (r) and the force vector (F).
- The dot product of A with the cross product (rxF) involves the magnitude of A, the magnitude of rxF, and the angle between A and rxF.
Significance of the Dot Product:
- The dot product helps in determining the projection of one vector onto another.
- It is used to calculate work done, angle between vectors, and other physical quantities in vector analysis.
Conclusion:
- Understanding the relationship between vectors A, r, and F is essential in analyzing rolling motion using vector math.
- The correct expression A.(rxF) accurately represents the relationship between these vectors in rolling.
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In rolling there is the involvement of the vector math. So for rolling which of the following is correct? (For A representing the vector representation of the axis of rotation, r the radius vector and F the force vector)a)A.(rxF)b)Ax(rxF)c)A.(r.F)d)Fx(r.F)Correct answer is option 'A'. Can you explain this answer?
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In rolling there is the involvement of the vector math. So for rolling which of the following is correct? (For A representing the vector representation of the axis of rotation, r the radius vector and F the force vector)a)A.(rxF)b)Ax(rxF)c)A.(r.F)d)Fx(r.F)Correct answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In rolling there is the involvement of the vector math. So for rolling which of the following is correct? (For A representing the vector representation of the axis of rotation, r the radius vector and F the force vector)a)A.(rxF)b)Ax(rxF)c)A.(r.F)d)Fx(r.F)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In rolling there is the involvement of the vector math. So for rolling which of the following is correct? (For A representing the vector representation of the axis of rotation, r the radius vector and F the force vector)a)A.(rxF)b)Ax(rxF)c)A.(r.F)d)Fx(r.F)Correct answer is option 'A'. Can you explain this answer?.
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