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The body is sometimes acted by two or three force members and we need to find the moment of inertia for the same. The difference between the two and the three force members is:
- a)The former is collinear and the latter is parallel
- b)The former is parallel and the latter is perpendicular
- c)The former is perpendicular and the latter is collinear
- d)The former is acting on two points in the body while the latter is on three points
Correct answer is option 'D'. Can you explain this answer?
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The body is sometimes acted by two or three force members and we need ...
The definition of the two force member only defines that the forces are being acted on the two points on the body. So does is the definition of the three forces members. The points of action of the three forces are three.
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The body is sometimes acted by two or three force members and we need ...
The difference between two and three force members in terms of moment of inertia
Introduction:
In mechanics, the moment of inertia is a property of a body that determines its resistance to rotational motion about a particular axis. It is a measure of how the mass of an object is distributed around that axis. When considering the effects of forces on a body, it is important to understand the difference between two force members and three force members in terms of the moment of inertia.
Two force members:
A two force member is a body that is acted upon by two forces only. These forces are collinear, meaning they have the same line of action. In other words, they act along the same line but in opposite directions. When determining the moment of inertia for a two force member, it is necessary to consider the distribution of mass along the line of action of the forces. The moment of inertia can be calculated using the parallel axis theorem, which relates the moment of inertia about an axis parallel to the original axis to the distance between the two axes.
Three force members:
A three force member is a body that is acted upon by three forces. These forces are not collinear, but they are concurrent, meaning they all pass through a single point of intersection. The forces may act at different points on the body, and their lines of action may not be parallel. When determining the moment of inertia for a three force member, it is necessary to consider the distribution of mass about the point of intersection of the forces. The moment of inertia can be calculated using the perpendicular axis theorem, which relates the moment of inertia about an axis perpendicular to the plane of the forces to the sum of the moments of inertia about two other axes that are parallel to the plane of the forces.
Difference between two force members and three force members:
The key difference between two force members and three force members lies in the number and arrangement of the forces acting on the body. In a two force member, the forces are collinear and act along the same line but in opposite directions. In a three force member, the forces are concurrent and act at different points on the body, with their lines of action intersecting at a single point. Additionally, in a two force member, the moment of inertia is calculated using the parallel axis theorem, while in a three force member, it is calculated using the perpendicular axis theorem.
Conclusion:
Understanding the difference between two force members and three force members is important when analyzing the effects of forces on a body. The number and arrangement of forces determine the method by which the moment of inertia is calculated. By considering the distribution of mass and the lines of action of the forces, engineers and scientists can accurately determine the moment of inertia for different types of bodies and predict their rotational behavior.
Introduction:
In mechanics, the moment of inertia is a property of a body that determines its resistance to rotational motion about a particular axis. It is a measure of how the mass of an object is distributed around that axis. When considering the effects of forces on a body, it is important to understand the difference between two force members and three force members in terms of the moment of inertia.
Two force members:
A two force member is a body that is acted upon by two forces only. These forces are collinear, meaning they have the same line of action. In other words, they act along the same line but in opposite directions. When determining the moment of inertia for a two force member, it is necessary to consider the distribution of mass along the line of action of the forces. The moment of inertia can be calculated using the parallel axis theorem, which relates the moment of inertia about an axis parallel to the original axis to the distance between the two axes.
Three force members:
A three force member is a body that is acted upon by three forces. These forces are not collinear, but they are concurrent, meaning they all pass through a single point of intersection. The forces may act at different points on the body, and their lines of action may not be parallel. When determining the moment of inertia for a three force member, it is necessary to consider the distribution of mass about the point of intersection of the forces. The moment of inertia can be calculated using the perpendicular axis theorem, which relates the moment of inertia about an axis perpendicular to the plane of the forces to the sum of the moments of inertia about two other axes that are parallel to the plane of the forces.
Difference between two force members and three force members:
The key difference between two force members and three force members lies in the number and arrangement of the forces acting on the body. In a two force member, the forces are collinear and act along the same line but in opposite directions. In a three force member, the forces are concurrent and act at different points on the body, with their lines of action intersecting at a single point. Additionally, in a two force member, the moment of inertia is calculated using the parallel axis theorem, while in a three force member, it is calculated using the perpendicular axis theorem.
Conclusion:
Understanding the difference between two force members and three force members is important when analyzing the effects of forces on a body. The number and arrangement of forces determine the method by which the moment of inertia is calculated. By considering the distribution of mass and the lines of action of the forces, engineers and scientists can accurately determine the moment of inertia for different types of bodies and predict their rotational behavior.
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The body is sometimes acted by two or three force members and we need to find the moment of inertia for the same. The difference between the two and the three force members is:a)The former is collinear and the latter is parallelb)The former is parallel and the latter is perpendicularc)The former is perpendicular and the latter is collineard)The former is acting on two points in the body while the latter is on three pointsCorrect answer is option 'D'. Can you explain this answer?
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The body is sometimes acted by two or three force members and we need to find the moment of inertia for the same. The difference between the two and the three force members is:a)The former is collinear and the latter is parallelb)The former is parallel and the latter is perpendicularc)The former is perpendicular and the latter is collineard)The former is acting on two points in the body while the latter is on three pointsCorrect 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 The body is sometimes acted by two or three force members and we need to find the moment of inertia for the same. The difference between the two and the three force members is:a)The former is collinear and the latter is parallelb)The former is parallel and the latter is perpendicularc)The former is perpendicular and the latter is collineard)The former is acting on two points in the body while the latter is on three pointsCorrect 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 The body is sometimes acted by two or three force members and we need to find the moment of inertia for the same. The difference between the two and the three force members is:a)The former is collinear and the latter is parallelb)The former is parallel and the latter is perpendicularc)The former is perpendicular and the latter is collineard)The former is acting on two points in the body while the latter is on three pointsCorrect answer is option 'D'. Can you explain this answer?.
The body is sometimes acted by two or three force members and we need to find the moment of inertia for the same. The difference between the two and the three force members is:a)The former is collinear and the latter is parallelb)The former is parallel and the latter is perpendicularc)The former is perpendicular and the latter is collineard)The former is acting on two points in the body while the latter is on three pointsCorrect 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 The body is sometimes acted by two or three force members and we need to find the moment of inertia for the same. The difference between the two and the three force members is:a)The former is collinear and the latter is parallelb)The former is parallel and the latter is perpendicularc)The former is perpendicular and the latter is collineard)The former is acting on two points in the body while the latter is on three pointsCorrect 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 The body is sometimes acted by two or three force members and we need to find the moment of inertia for the same. The difference between the two and the three force members is:a)The former is collinear and the latter is parallelb)The former is parallel and the latter is perpendicularc)The former is perpendicular and the latter is collineard)The former is acting on two points in the body while the latter is on three pointsCorrect answer is option 'D'. Can you explain this answer?.
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The body is sometimes acted by two or three force members and we need to find the moment of inertia for the same. The difference between the two and the three force members is:a)The former is collinear and the latter is parallelb)The former is parallel and the latter is perpendicularc)The former is perpendicular and the latter is collineard)The former is acting on two points in the body while the latter is on three pointsCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The body is sometimes acted by two or three force members and we need to find the moment of inertia for the same. The difference between the two and the three force members is:a)The former is collinear and the latter is parallelb)The former is parallel and the latter is perpendicularc)The former is perpendicular and the latter is collineard)The former is acting on two points in the body while the latter is on three pointsCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The body is sometimes acted by two or three force members and we need to find the moment of inertia for the same. The difference between the two and the three force members is:a)The former is collinear and the latter is parallelb)The former is parallel and the latter is perpendicularc)The former is perpendicular and the latter is collineard)The former is acting on two points in the body while the latter is on three pointsCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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