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If a body is acted upon by a number of coplanar non-concurrent forces, it may
- a)rotate about itself without moving
- b)move in any one direction rotating about itself
- c)be completely at rest
- d)all of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If a body is acted upon by a number of coplanar non-concurrent forces...
If all the forces in a system lie in a single plane and the lines of action of all the forces do not pass through a single point, the system is said to be a coplanar non-concurrent force system.
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The Result of a non-concurrent force system is the one which will have the same rotational and translatory effect as the given system of forces. It may be a single force, a pure moment of a force and a moment.
When a body is acted upon by a number of coplanar non-concurrent forces. A little consideration will show, that as a result of these forces, the body may have any one of the following states:
1. The body may move in any one direction.
2. The body may rotate about itself without moving.
3. The body may move in any one direction and at the same time, it may also rotate about itself.
4. The body may be completely at rest.
For Equilibrium of coplanar non-concurrent force system:
ΣFx = 0
ΣFy = 0
ΣM = 0
Most Upvoted Answer
If a body is acted upon by a number of coplanar non-concurrent forces...
If all the forces in a system lie in a single plane and the lines of action of all the forces do not pass through a single point, the system is said to be a coplanar non-concurrent force system.
The Result of a non-concurrent force system is the one which will have the same rotational and translatory effect as the given system of forces. It may be a single force, a pure moment of a force and a moment.
When a body is acted upon by a number of coplanar non-concurrent forces. A little consideration will show, that as a result of these forces, the body may have any one of the following states:
1. The body may move in any one direction.
2. The body may rotate about itself without moving.
3. The body may move in any one direction and at the same time, it may also rotate about itself.
4. The body may be completely at rest.
For Equilibrium of coplanar non-concurrent force system:
ΣFx = 0
ΣFy = 0
ΣM = 0
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Community Answer
If a body is acted upon by a number of coplanar non-concurrent forces...
Understanding the Effects of Coplanar Non-Concurrent Forces
When a body is subjected to coplanar non-concurrent forces, it can exhibit various behaviors based on the nature and arrangement of these forces. Here’s a detailed examination of the possible outcomes:
1. Rotation without Translation
- A body may rotate about its own axis without any translational motion. This occurs when the net force acting on the body is zero, but there are unbalanced moments (torques) causing rotation.
2. Translation with Rotation
- The body can also move in a specific direction while simultaneously rotating about its center of mass. This happens when the net force is not zero, leading to linear acceleration, while the moments may still cause rotation.
3. Equilibrium Condition
- It is possible for the body to be completely at rest if the forces acting upon it are balanced. In this case, both the net force and net torque are zero, resulting in a state of equilibrium.
4. Summary of Outcomes
- From the above points, we see that coplanar non-concurrent forces can lead to:
- Rotation without translation
- Translation with rotation
- Complete rest (equilibrium)
Conclusion
Thus, the correct answer is option 'D': all of these outcomes are possible when a body is acted upon by coplanar non-concurrent forces. The specific behavior will depend on the magnitude, direction, and point of application of the forces involved. Understanding these principles is crucial in mechanics, especially in fields like engineering and physics.
When a body is subjected to coplanar non-concurrent forces, it can exhibit various behaviors based on the nature and arrangement of these forces. Here’s a detailed examination of the possible outcomes:
1. Rotation without Translation
- A body may rotate about its own axis without any translational motion. This occurs when the net force acting on the body is zero, but there are unbalanced moments (torques) causing rotation.
2. Translation with Rotation
- The body can also move in a specific direction while simultaneously rotating about its center of mass. This happens when the net force is not zero, leading to linear acceleration, while the moments may still cause rotation.
3. Equilibrium Condition
- It is possible for the body to be completely at rest if the forces acting upon it are balanced. In this case, both the net force and net torque are zero, resulting in a state of equilibrium.
4. Summary of Outcomes
- From the above points, we see that coplanar non-concurrent forces can lead to:
- Rotation without translation
- Translation with rotation
- Complete rest (equilibrium)
Conclusion
Thus, the correct answer is option 'D': all of these outcomes are possible when a body is acted upon by coplanar non-concurrent forces. The specific behavior will depend on the magnitude, direction, and point of application of the forces involved. Understanding these principles is crucial in mechanics, especially in fields like engineering and physics.
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