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In the calculation of the moment of the force about the axis, the cross product table, i.e. the 3X3 matrix which is made for doing the cross product having 3 rows, contains three elements. Which are they from top to bottom?
- a)Axis coordinates, point coordinates and the force coordinates
- b)Point coordinates, axis coordinates, and the force coordinates
- c)Axis coordinates, force coordinates and the point coordinates
- d)Force coordinates, point coordinates and the axis coordinates
Correct answer is option 'A'. Can you explain this answer?
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In the calculation of the moment of the force about the axis, the cros...
The 3X3 matrix which is being made is having axis coordinates, point coordinates and the force coordinates. They are from top to bottom placed. The order cannot be changed. Or if changed then one needs to apply the negative sign appropriately. Negative because the directions gets reversed.
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In the calculation of the moment of the force about the axis, the cros...
The Cross Product and Moment of Force
The cross product is a mathematical operation that combines two vectors to produce a third vector that is perpendicular to both of the original vectors. In the context of mechanics, the cross product is often used to calculate the moment of a force about a given axis.
The Cross Product Table
When performing cross product calculations, a 3x3 matrix known as the cross product table is used. This matrix is made up of three rows and three columns, and each element represents a specific coordinate.
The elements of the cross product table are arranged in a specific order to ensure the correct calculation of the cross product. In the context of calculating the moment of a force about an axis, the elements in the cross product table represent the following:
- The first row represents the coordinates of the axis.
- The second row represents the coordinates of the point where the force is applied.
- The third row represents the coordinates of the force itself.
The Correct Order of Elements in the Cross Product Table
According to the question, the correct order of elements in the cross product table, from top to bottom, is:
a) Axis coordinates, point coordinates, and force coordinates
This means that the first row of the cross product table represents the coordinates of the axis, the second row represents the coordinates of the point where the force is applied, and the third row represents the coordinates of the force itself.
Why Option 'A' is the Correct Answer
The correct answer, option 'A', is derived from the correct order of elements in the cross product table. The order of the elements is crucial for correctly calculating the moment of a force about an axis. If the order is changed, the calculation will yield incorrect results.
Therefore, when calculating the moment of a force about an axis, it is essential to arrange the elements in the cross product table in the correct order, with the axis coordinates in the first row, the point coordinates in the second row, and the force coordinates in the third row.
The cross product is a mathematical operation that combines two vectors to produce a third vector that is perpendicular to both of the original vectors. In the context of mechanics, the cross product is often used to calculate the moment of a force about a given axis.
The Cross Product Table
When performing cross product calculations, a 3x3 matrix known as the cross product table is used. This matrix is made up of three rows and three columns, and each element represents a specific coordinate.
The elements of the cross product table are arranged in a specific order to ensure the correct calculation of the cross product. In the context of calculating the moment of a force about an axis, the elements in the cross product table represent the following:
- The first row represents the coordinates of the axis.
- The second row represents the coordinates of the point where the force is applied.
- The third row represents the coordinates of the force itself.
The Correct Order of Elements in the Cross Product Table
According to the question, the correct order of elements in the cross product table, from top to bottom, is:
a) Axis coordinates, point coordinates, and force coordinates
This means that the first row of the cross product table represents the coordinates of the axis, the second row represents the coordinates of the point where the force is applied, and the third row represents the coordinates of the force itself.
Why Option 'A' is the Correct Answer
The correct answer, option 'A', is derived from the correct order of elements in the cross product table. The order of the elements is crucial for correctly calculating the moment of a force about an axis. If the order is changed, the calculation will yield incorrect results.
Therefore, when calculating the moment of a force about an axis, it is essential to arrange the elements in the cross product table in the correct order, with the axis coordinates in the first row, the point coordinates in the second row, and the force coordinates in the third row.
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In the calculation of the moment of the force about the axis, the cross product table, i.e. the 3X3 matrix which is made for doing the cross product having 3 rows, contains three elements. Which are they from top to bottom?a)Axis coordinates, point coordinates and the force coordinatesb)Point coordinates, axis coordinates, and the force coordinatesc)Axis coordinates, force coordinates and the point coordinatesd)Force coordinates, point coordinates and the axis coordinatesCorrect answer is option 'A'. Can you explain this answer?
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In the calculation of the moment of the force about the axis, the cross product table, i.e. the 3X3 matrix which is made for doing the cross product having 3 rows, contains three elements. Which are they from top to bottom?a)Axis coordinates, point coordinates and the force coordinatesb)Point coordinates, axis coordinates, and the force coordinatesc)Axis coordinates, force coordinates and the point coordinatesd)Force coordinates, point coordinates and the axis coordinatesCorrect 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 the calculation of the moment of the force about the axis, the cross product table, i.e. the 3X3 matrix which is made for doing the cross product having 3 rows, contains three elements. Which are they from top to bottom?a)Axis coordinates, point coordinates and the force coordinatesb)Point coordinates, axis coordinates, and the force coordinatesc)Axis coordinates, force coordinates and the point coordinatesd)Force coordinates, point coordinates and the axis coordinatesCorrect 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 the calculation of the moment of the force about the axis, the cross product table, i.e. the 3X3 matrix which is made for doing the cross product having 3 rows, contains three elements. Which are they from top to bottom?a)Axis coordinates, point coordinates and the force coordinatesb)Point coordinates, axis coordinates, and the force coordinatesc)Axis coordinates, force coordinates and the point coordinatesd)Force coordinates, point coordinates and the axis coordinatesCorrect answer is option 'A'. Can you explain this answer?.
In the calculation of the moment of the force about the axis, the cross product table, i.e. the 3X3 matrix which is made for doing the cross product having 3 rows, contains three elements. Which are they from top to bottom?a)Axis coordinates, point coordinates and the force coordinatesb)Point coordinates, axis coordinates, and the force coordinatesc)Axis coordinates, force coordinates and the point coordinatesd)Force coordinates, point coordinates and the axis coordinatesCorrect 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 the calculation of the moment of the force about the axis, the cross product table, i.e. the 3X3 matrix which is made for doing the cross product having 3 rows, contains three elements. Which are they from top to bottom?a)Axis coordinates, point coordinates and the force coordinatesb)Point coordinates, axis coordinates, and the force coordinatesc)Axis coordinates, force coordinates and the point coordinatesd)Force coordinates, point coordinates and the axis coordinatesCorrect 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 the calculation of the moment of the force about the axis, the cross product table, i.e. the 3X3 matrix which is made for doing the cross product having 3 rows, contains three elements. Which are they from top to bottom?a)Axis coordinates, point coordinates and the force coordinatesb)Point coordinates, axis coordinates, and the force coordinatesc)Axis coordinates, force coordinates and the point coordinatesd)Force coordinates, point coordinates and the axis coordinatesCorrect answer is option 'A'. Can you explain this answer?.
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