Which of the following is true?a)Total moment of various forces acting...
When we consider about the dimensions we need to be careful.The moment is the vector quantity. Thus the value of the total moment caused by various forces acting on the body is the vector sum of all the vectors. Also the moments are not perpendicular to each other, unless it is specified.
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Which of the following is true?a)Total moment of various forces acting...
Explanation:
Total Moment Calculation:
- The total moment of various forces acting on a body is the vector sum of all moments in 3D. This means that each individual moment of a force must be considered in the calculation of the total moment acting on the body.
- Moments are vector quantities and must be added as such to determine the total moment.
Vector Sum of Moments:
- When calculating the total moment in 3D, the vector sum takes into account both the magnitude and direction of each individual moment.
- By adding the moments as vectors, the resultant total moment can be accurately determined.
Importance of Vector Sum:
- Considering the vector sum of moments ensures that the direction of each moment is taken into account when determining the total moment acting on the body.
- This is crucial in accurately understanding the overall effect of various forces on the body.
Conclusion:
- The total moment of various forces acting on a body is the vector sum of all moments in 3D, highlighting the importance of considering both magnitude and direction when calculating moments.
Which of the following is true?a)Total moment of various forces acting...
Correct choice is A
A moment is a vector quantity So, there must be a vector sum of all forces instead of an algebric sum and when various forces act upon a body then there are no restrictions of perpendicular vectors (i.e vectors may have different directions).