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The body is sometimes acted by two or three force members. 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?
Verified Answer
The body is sometimes acted by two or three force members. The differe...
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. The differe...
The difference between two and three force members in a body lies in the number of points where the forces act. Here is a detailed explanation of why the correct answer is option 'D':

Definition of Two Force Members:
A two force member is a body where the external forces act on only two points. These forces are equal in magnitude, opposite in direction, and collinear. In other words, the forces are applied along the same line of action, just in opposite directions.

Definition of Three Force Members:
A three force member is a body where the external forces act on three points. These forces are also equal in magnitude, opposite in direction, but they are not collinear. Instead, they are concurrent, meaning their lines of action intersect at a point.

Explanation:
The difference between two force members and three force members can be understood by considering the nature of the applied forces and the points where they act.

- In a two force member, forces act on two points that are collinear. This means that the forces are applied along a straight line, with one force acting in one direction and the other force acting in the opposite direction. The forces are equal in magnitude to maintain equilibrium.

- In a three force member, forces act on three points that are not collinear. The forces are concurrent, meaning they intersect at a common point. These forces are also equal in magnitude but act in different directions. The lines of action of the forces usually form an angle with each other.

Significance:
Understanding the difference between two and three force members is important in engineering and mechanics. It helps in analyzing and predicting the behavior of structures under external loads. By identifying the type of force members, engineers can determine the equilibrium conditions, calculate internal forces and stresses, and design structures that can withstand the applied forces without failure.

Example:
To illustrate the difference, consider a simple example of a beam supported at both ends. The beam is subjected to two external forces acting upwards at the supports. Since the forces act on two points only, this beam is a two force member. In contrast, if there is an additional force acting downwards at a point between the supports, the beam becomes a three force member. The three forces are concurrent, as they intersect at the point where the downward force is applied.

Conclusion:
In conclusion, the difference between two force members and three force members lies in the number of points where the external forces act. Two force members have forces acting on two collinear points, while three force members have forces acting on three non-collinear points. Understanding this distinction is crucial in engineering analysis and design.
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The body is sometimes acted by two or three force members. 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. 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. 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. 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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