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A body subjected to coplanar non-concurrent forces will remain in a state of equilibrium if
- a)ΣFx = 0
- b)ΣFy = 0
- c)ΣM = 0
- d)All the above three
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A body subjected to coplanar non-concurrent forces will remain in a st...
Equations of equilibrium for Non-concurrent force System: A non-concurrent force systems will be in equilibrium if the resultant of all forces and moments is zero.
- ΣFx = 0, ΣFy = 0 and ΣM = 0
Equations of equilibrium for concurrent force System: For the concurrent forces, the lines of action of all forces met at a point and hence the moment of those force about that point will be zero or ΣM = 0 automatically.
- ΣFx = 0 and ΣFy = 0
Most Upvoted Answer
A body subjected to coplanar non-concurrent forces will remain in a st...
The vector sum of the forces is zero.
b) the vector sum of the moments of the forces about any point is zero.
c) both a) and b) are true.
d) neither a) nor b) are true.
The correct answer is c) both a) and b) are true.
In order for a body to remain in a state of equilibrium, the vector sum of the forces acting on it must be zero (a). This means that the forces cancel each other out and there is no net force acting on the body.
Additionally, the vector sum of the moments of the forces about any point must also be zero (b). This ensures that there is no net torque acting on the body, meaning that it will not rotate.
Both conditions must be met for the body to be in equilibrium, so the correct answer is c) both a) and b) are true.
b) the vector sum of the moments of the forces about any point is zero.
c) both a) and b) are true.
d) neither a) nor b) are true.
The correct answer is c) both a) and b) are true.
In order for a body to remain in a state of equilibrium, the vector sum of the forces acting on it must be zero (a). This means that the forces cancel each other out and there is no net force acting on the body.
Additionally, the vector sum of the moments of the forces about any point must also be zero (b). This ensures that there is no net torque acting on the body, meaning that it will not rotate.
Both conditions must be met for the body to be in equilibrium, so the correct answer is c) both a) and b) are true.
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A body subjected to coplanar non-concurrent forces will remain in a state of equilibrium ifa)ΣFx= 0b)ΣFy= 0c)ΣM = 0d)All the above threeCorrect answer is option 'D'. Can you explain this answer?
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