Which of the following is true?*1 pointTotal moment of various forces acting on a body is the vector sum of all momentsTotal moment of various forces acting on a body is the algebraic sum of all momentsTotal moment of various forces acting on a body is always zeroTotal moment of various forces acting on a body is the vector sum of all moments which is perpendicular to each other forces
Question
Which of the following is true?*1 pointTotal moment of various forces acting on a body is the vector sum of all momentsTotal moment of various forces acting on a body is the algebraic sum of all momentsTotal moment of various forces acting on a body is always zeroTotal moment of various forces acting on a body is the vector sum of all moments which is perpendicular to each other forces
Solution
The correct statement is: "Total moment of various forces acting on a body is the vector sum of all moments."
Here's why:
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The moment of a force is a measure of its tendency to cause a body to rotate about a specific point or axis. This is a vector quantity, meaning it has both a direction and a magnitude.
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When multiple forces are acting on a body, each force will have its own moment. The total moment acting on the body is the vector sum of these individual moments.
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This means that we add up the individual moments like vectors, taking into account both their magnitudes and their directions. The result is the total moment acting on the body.
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The other options are incorrect. The total moment is not the algebraic sum of all moments because moments are vector quantities, not scalar quantities. The total moment is not always zero unless all the individual moments perfectly balance each other out, which is not guaranteed. The total moment is not the vector sum of all moments which is perpendicular to each other forces because the direction of the total moment depends on the directions of the individual moments, not on whether the forces are perpendicular to each other.
Similar Questions
Write down the principle of moments
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