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The polygon law of forces states that if a number of forces, acting simultaneously on a particle, be represented in magnitude and direction by the sides a polygon taken in order, then their resultant is represented in magnitude and direction by the closing side of the polygon, taken in opposite direction.
- a)Correct
- b)Incorrect
Correct answer is option 'A'. Can you explain this answer?
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The polygon law of forces states that if a number of forces, acting si...
Understanding the Polygon Law of Forces
The Polygon Law of Forces is a fundamental principle in mechanics that describes the resultant of multiple forces acting on a particle. Here's a detailed explanation:
Definition of the Law
- The law states that if several forces acting on a particle are represented in magnitude and direction by the sides of a polygon taken in order, the resultant force is represented by the closing side of the polygon taken in the opposite direction.
Illustrative Example
- Imagine applying several forces on an object, each represented by a vector (arrow) in a diagram. If you draw these vectors head to tail, they form a polygon.
- The last vector you would draw to connect the head of the last force vector back to the tail of the first vector represents the resultant force.
Key Points
- Vector Addition: Forces are vectors, meaning they have both magnitude and direction. The polygon law visually represents how these vectors can be added together.
- Resultant Force: The closing side of the polygon, when drawn in the opposite direction, indicates the net effect of all the forces acting on the particle.
- Applicability: This law is applicable in various fields such as mechanical engineering, structural analysis, and physics, demonstrating the balance of forces.
Conclusion
The statement is indeed correct. The Polygon Law of Forces provides a clear geometric method for determining the resultant of multiple forces, making it a crucial concept in understanding force interactions in mechanical systems.
The Polygon Law of Forces is a fundamental principle in mechanics that describes the resultant of multiple forces acting on a particle. Here's a detailed explanation:
Definition of the Law
- The law states that if several forces acting on a particle are represented in magnitude and direction by the sides of a polygon taken in order, the resultant force is represented by the closing side of the polygon taken in the opposite direction.
Illustrative Example
- Imagine applying several forces on an object, each represented by a vector (arrow) in a diagram. If you draw these vectors head to tail, they form a polygon.
- The last vector you would draw to connect the head of the last force vector back to the tail of the first vector represents the resultant force.
Key Points
- Vector Addition: Forces are vectors, meaning they have both magnitude and direction. The polygon law visually represents how these vectors can be added together.
- Resultant Force: The closing side of the polygon, when drawn in the opposite direction, indicates the net effect of all the forces acting on the particle.
- Applicability: This law is applicable in various fields such as mechanical engineering, structural analysis, and physics, demonstrating the balance of forces.
Conclusion
The statement is indeed correct. The Polygon Law of Forces provides a clear geometric method for determining the resultant of multiple forces, making it a crucial concept in understanding force interactions in mechanical systems.
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The polygon law of forces states that if a number of forces, acting simultaneously on a particle, be represented in magnitude and direction by the sides a polygon taken in order, then their resultant is represented in magnitude and direction by the closing side of the polygon, taken in opposite direction.a)Correctb)IncorrectCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The polygon law of forces states that if a number of forces, acting simultaneously on a particle, be represented in magnitude and direction by the sides a polygon taken in order, then their resultant is represented in magnitude and direction by the closing side of the polygon, taken in opposite direction.a)Correctb)IncorrectCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The polygon law of forces states that if a number of forces, acting simultaneously on a particle, be represented in magnitude and direction by the sides a polygon taken in order, then their resultant is represented in magnitude and direction by the closing side of the polygon, taken in opposite direction.a)Correctb)IncorrectCorrect answer is option 'A'. Can you explain this answer?.
The polygon law of forces states that if a number of forces, acting simultaneously on a particle, be represented in magnitude and direction by the sides a polygon taken in order, then their resultant is represented in magnitude and direction by the closing side of the polygon, taken in opposite direction.a)Correctb)IncorrectCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The polygon law of forces states that if a number of forces, acting simultaneously on a particle, be represented in magnitude and direction by the sides a polygon taken in order, then their resultant is represented in magnitude and direction by the closing side of the polygon, taken in opposite direction.a)Correctb)IncorrectCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The polygon law of forces states that if a number of forces, acting simultaneously on a particle, be represented in magnitude and direction by the sides a polygon taken in order, then their resultant is represented in magnitude and direction by the closing side of the polygon, taken in opposite direction.a)Correctb)IncorrectCorrect answer is option 'A'. Can you explain this answer?.
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The polygon law of forces states that if a number of forces, acting simultaneously on a particle, be represented in magnitude and direction by the sides a polygon taken in order, then their resultant is represented in magnitude and direction by the closing side of the polygon, taken in opposite direction.a)Correctb)IncorrectCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The polygon law of forces states that if a number of forces, acting simultaneously on a particle, be represented in magnitude and direction by the sides a polygon taken in order, then their resultant is represented in magnitude and direction by the closing side of the polygon, taken in opposite direction.a)Correctb)IncorrectCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The polygon law of forces states that if a number of forces, acting simultaneously on a particle, be represented in magnitude and direction by the sides a polygon taken in order, then their resultant is represented in magnitude and direction by the closing side of the polygon, taken in opposite direction.a)Correctb)IncorrectCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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