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Which of the following is true?
  • a)
    Total moment of various forces acting on the body is the vector sum of all moments
  • b)
    Total moment of various forces acting on the body is the algebraic sum of all moments
  • c)
    Total moment of various forces acting on the body is always zero
  • d)
    Total moment of various forces acting on the body is the vector sum of all moments which is perpendicular to each other forces
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Which of the following is true?a)Total moment of various forces acting...
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. Thus assumptions cant be taken for the direction of the moment.
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Which of the following is true?a)Total moment of various forces acting...


Explanation:

Vector Sum of Moments:
- The total moment of various forces acting on a body is the vector sum of all moments.
- Each force applied to a body creates a moment around a specific point.
- The vector sum takes into account the direction and magnitude of each individual moment.

Algebraic Sum of Moments:
- The algebraic sum of moments does not consider the direction of the moments.
- This type of sum simply adds up the magnitudes of the moments without taking into account their direction.

Total Moment is Not Always Zero:
- The total moment of various forces acting on a body is not always zero unless the body is in static equilibrium.
- In static equilibrium, the sum of all moments is zero, indicating that the body is not rotating.

Perpendicular Vector Sum:
- The vector sum of moments is perpendicular to the forces creating the moments.
- This means that the total moment vector points in a direction perpendicular to the plane containing the forces.

Therefore, the correct statement is that the total moment of various forces acting on a body is the vector sum of all moments.
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Which of the following is true?a)Total moment of various forces acting on the body is the vector sum of all momentsb)Total moment of various forces acting on the body is the algebraic sum of all momentsc)Total moment of various forces acting on the body is always zerod)Total moment of various forces acting on the body is the vector sum of all moments which is perpendicular to each other forcesCorrect answer is option 'A'. Can you explain this answer?
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