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What is the CORRECT option for a rigid body to be in the equilibrium when the body is under the action of three forces?
- a)The forces acting on the body are equal.
- b)The line of action of these forces are parallel to each other.
- c)The line of action of these forces meet in a point
- d)The line of action of these forces are parallel to each other and the line of action of these forces meet in a point both.
Correct answer is option 'C'. Can you explain this answer?
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What is theCORRECToption for a rigid body to be in the equilibrium whe...
For a rigid body to be in equilibrium when the body is under the action of three forces:
A solid body under three parallel forces will be in equilibrium if:
(i). The sum of the forces acting in one direction must be equal to the sum of the forces acting opposite in direction.
(ii). The algebraic sum of the moments of all forces about any point on the body must be zero.
A solid body applied to three forces whose lines of action are not parallel, is in equilibrium if the three following conditions satisfies:
(i). The lines of action are coplanar (in the same plane).
(ii). The lines of action are meeting at a point.
(iii). The vector sum of these forces is equal to the zero vector.
A solid body under three parallel forces will be in equilibrium if:
(i). The sum of the forces acting in one direction must be equal to the sum of the forces acting opposite in direction.
(ii). The algebraic sum of the moments of all forces about any point on the body must be zero.
A solid body applied to three forces whose lines of action are not parallel, is in equilibrium if the three following conditions satisfies:
(i). The lines of action are coplanar (in the same plane).
(ii). The lines of action are meeting at a point.
(iii). The vector sum of these forces is equal to the zero vector.
Most Upvoted Answer
What is theCORRECToption for a rigid body to be in the equilibrium whe...
The Correct Option for a Rigid Body to be in Equilibrium when under the action of three forces is option 'C'.
Explanation:
When a rigid body is in equilibrium, it means that the body is not accelerating and all the forces acting on it are balanced. In other words, the net force and net torque acting on the body are both zero.
In the case of three forces acting on a rigid body, for it to be in equilibrium, the line of action of these forces must meet at a single point. This is because when the lines of action of the forces intersect at a point, there will be no net torque acting on the body. Torque is the rotational equivalent of force, and it is the tendency of a force to cause rotation.
When the lines of action of the forces are parallel to each other, there will be no point of intersection, and hence, there will be a net torque acting on the body. This will result in the body not being in equilibrium.
Similarly, when the forces acting on the body are equal, there will be no net force acting on the body, but there will still be a net torque if the lines of action of the forces are not meeting at a single point. Therefore, option 'A' is also incorrect.
Hence, the correct option is 'C' - the line of action of the forces meet at a single point. This ensures that both the net force and net torque acting on the body are zero, and the body is in equilibrium.
To summarize:
- Option 'A' is incorrect because the forces being equal does not guarantee equilibrium if the lines of action do not meet at a point.
- Option 'B' is incorrect because parallel lines of action of forces do not meet at a point, resulting in a net torque.
- Option 'C' is correct because when the lines of action of the forces meet at a single point, both the net force and net torque acting on the body are zero, ensuring equilibrium.
Explanation:
When a rigid body is in equilibrium, it means that the body is not accelerating and all the forces acting on it are balanced. In other words, the net force and net torque acting on the body are both zero.
In the case of three forces acting on a rigid body, for it to be in equilibrium, the line of action of these forces must meet at a single point. This is because when the lines of action of the forces intersect at a point, there will be no net torque acting on the body. Torque is the rotational equivalent of force, and it is the tendency of a force to cause rotation.
When the lines of action of the forces are parallel to each other, there will be no point of intersection, and hence, there will be a net torque acting on the body. This will result in the body not being in equilibrium.
Similarly, when the forces acting on the body are equal, there will be no net force acting on the body, but there will still be a net torque if the lines of action of the forces are not meeting at a single point. Therefore, option 'A' is also incorrect.
Hence, the correct option is 'C' - the line of action of the forces meet at a single point. This ensures that both the net force and net torque acting on the body are zero, and the body is in equilibrium.
To summarize:
- Option 'A' is incorrect because the forces being equal does not guarantee equilibrium if the lines of action do not meet at a point.
- Option 'B' is incorrect because parallel lines of action of forces do not meet at a point, resulting in a net torque.
- Option 'C' is correct because when the lines of action of the forces meet at a single point, both the net force and net torque acting on the body are zero, ensuring equilibrium.
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What is theCORRECToption for a rigid body to be in the equilibrium when the body is under the action of three forces?a)The forces acting on the body are equal.b)The line of action of these forces are parallel to each other.c)The line of action of these forces meet in a pointd)The line of action of these forces are parallel to each other and the line of action of these forces meet in a point both.Correct answer is option 'C'. Can you explain this answer?
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What is theCORRECToption for a rigid body to be in the equilibrium when the body is under the action of three forces?a)The forces acting on the body are equal.b)The line of action of these forces are parallel to each other.c)The line of action of these forces meet in a pointd)The line of action of these forces are parallel to each other and the line of action of these forces meet in a point both.Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about What is theCORRECToption for a rigid body to be in the equilibrium when the body is under the action of three forces?a)The forces acting on the body are equal.b)The line of action of these forces are parallel to each other.c)The line of action of these forces meet in a pointd)The line of action of these forces are parallel to each other and the line of action of these forces meet in a point both.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is theCORRECToption for a rigid body to be in the equilibrium when the body is under the action of three forces?a)The forces acting on the body are equal.b)The line of action of these forces are parallel to each other.c)The line of action of these forces meet in a pointd)The line of action of these forces are parallel to each other and the line of action of these forces meet in a point both.Correct answer is option 'C'. Can you explain this answer?.
What is theCORRECToption for a rigid body to be in the equilibrium when the body is under the action of three forces?a)The forces acting on the body are equal.b)The line of action of these forces are parallel to each other.c)The line of action of these forces meet in a pointd)The line of action of these forces are parallel to each other and the line of action of these forces meet in a point both.Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about What is theCORRECToption for a rigid body to be in the equilibrium when the body is under the action of three forces?a)The forces acting on the body are equal.b)The line of action of these forces are parallel to each other.c)The line of action of these forces meet in a pointd)The line of action of these forces are parallel to each other and the line of action of these forces meet in a point both.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is theCORRECToption for a rigid body to be in the equilibrium when the body is under the action of three forces?a)The forces acting on the body are equal.b)The line of action of these forces are parallel to each other.c)The line of action of these forces meet in a pointd)The line of action of these forces are parallel to each other and the line of action of these forces meet in a point both.Correct answer is option 'C'. Can you explain this answer?.
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