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Varingon's theorem of moments states that if a number of coplaner forces acting on a particle are in equilibrium, then
- a)their algebraic sum is zero
- b)their lines of action are at equal distances
- c)the algebraic sum of their moments about any point in their plane is zero
- d)the algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.
Correct answer is option 'D'. Can you explain this answer?
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Varingon's theorem of moments states that if a number of coplaner forc...
Varingon's Theorem of Moments
Varingon's theorem of moments is a fundamental concept in the study of mechanics. It provides a powerful tool for analyzing the equilibrium of coplanar forces acting on a particle.
Definition
Varingon's theorem of moments states that if a number of coplanar forces acting on a particle are in equilibrium, then the algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.
Explanation
To understand Varingon's theorem of moments, we need to first understand what is meant by the moment of a force. The moment of a force is the product of the force and the perpendicular distance from the point of application of the force to the point about which the moment is taken.
Now, consider a particle that is subjected to a number of coplanar forces. If these forces are in equilibrium, then the particle will remain at rest, and the sum of the forces acting on the particle will be zero. However, this does not mean that the forces are balanced in every aspect.
To fully understand the equilibrium of the forces, we need to consider their moments. The moment of a force about a point is a measure of the tendency of the force to rotate the particle about that point. If the sum of the moments of the forces about a point is zero, then the particle will remain in a state of equilibrium.
Varingon's theorem of moments states that the sum of the moments of the coplanar forces about any point in their plane is equal to the moment of their resultant force about the same point. This means that we can analyze the equilibrium of the forces by considering their moments about any point in their plane.
Conclusion
In conclusion, Varingon's theorem of moments is a powerful tool for analyzing the equilibrium of coplanar forces acting on a particle. It allows us to determine the conditions for equilibrium by considering the moments of the forces about any point in their plane. This theorem is essential in the study of mechanics and is used extensively in engineering and physics.
Varingon's theorem of moments is a fundamental concept in the study of mechanics. It provides a powerful tool for analyzing the equilibrium of coplanar forces acting on a particle.
Definition
Varingon's theorem of moments states that if a number of coplanar forces acting on a particle are in equilibrium, then the algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.
Explanation
To understand Varingon's theorem of moments, we need to first understand what is meant by the moment of a force. The moment of a force is the product of the force and the perpendicular distance from the point of application of the force to the point about which the moment is taken.
Now, consider a particle that is subjected to a number of coplanar forces. If these forces are in equilibrium, then the particle will remain at rest, and the sum of the forces acting on the particle will be zero. However, this does not mean that the forces are balanced in every aspect.
To fully understand the equilibrium of the forces, we need to consider their moments. The moment of a force about a point is a measure of the tendency of the force to rotate the particle about that point. If the sum of the moments of the forces about a point is zero, then the particle will remain in a state of equilibrium.
Varingon's theorem of moments states that the sum of the moments of the coplanar forces about any point in their plane is equal to the moment of their resultant force about the same point. This means that we can analyze the equilibrium of the forces by considering their moments about any point in their plane.
Conclusion
In conclusion, Varingon's theorem of moments is a powerful tool for analyzing the equilibrium of coplanar forces acting on a particle. It allows us to determine the conditions for equilibrium by considering the moments of the forces about any point in their plane. This theorem is essential in the study of mechanics and is used extensively in engineering and physics.
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Varingon's theorem of moments states that if a number of coplaner forces acting on a particle are in equilibrium, thena)their algebraic sum is zerob)their lines of action are at equal distancesc)the algebraic sum of their moments about any point in their plane is zerod)the algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.Correct answer is option 'D'. Can you explain this answer?
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Varingon's theorem of moments states that if a number of coplaner forces acting on a particle are in equilibrium, thena)their algebraic sum is zerob)their lines of action are at equal distancesc)the algebraic sum of their moments about any point in their plane is zerod)the algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.Correct answer is option 'D'. 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 Varingon's theorem of moments states that if a number of coplaner forces acting on a particle are in equilibrium, thena)their algebraic sum is zerob)their lines of action are at equal distancesc)the algebraic sum of their moments about any point in their plane is zerod)the algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.Correct answer is option 'D'. 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 Varingon's theorem of moments states that if a number of coplaner forces acting on a particle are in equilibrium, thena)their algebraic sum is zerob)their lines of action are at equal distancesc)the algebraic sum of their moments about any point in their plane is zerod)the algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.Correct answer is option 'D'. Can you explain this answer?.
Varingon's theorem of moments states that if a number of coplaner forces acting on a particle are in equilibrium, thena)their algebraic sum is zerob)their lines of action are at equal distancesc)the algebraic sum of their moments about any point in their plane is zerod)the algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.Correct answer is option 'D'. 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 Varingon's theorem of moments states that if a number of coplaner forces acting on a particle are in equilibrium, thena)their algebraic sum is zerob)their lines of action are at equal distancesc)the algebraic sum of their moments about any point in their plane is zerod)the algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.Correct answer is option 'D'. 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 Varingon's theorem of moments states that if a number of coplaner forces acting on a particle are in equilibrium, thena)their algebraic sum is zerob)their lines of action are at equal distancesc)the algebraic sum of their moments about any point in their plane is zerod)the algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.Correct answer is option 'D'. Can you explain this answer?.
Solutions for Varingon's theorem of moments states that if a number of coplaner forces acting on a particle are in equilibrium, thena)their algebraic sum is zerob)their lines of action are at equal distancesc)the algebraic sum of their moments about any point in their plane is zerod)the algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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ample number of questions to practice Varingon's theorem of moments states that if a number of coplaner forces acting on a particle are in equilibrium, thena)their algebraic sum is zerob)their lines of action are at equal distancesc)the algebraic sum of their moments about any point in their plane is zerod)the algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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