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If three coplaner forces acting on a point are in equilibrium, then each force is proportional to the sine, of the angle between the other two.
- a)Correct
- b)Incorrect
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
If three coplaner forces acting on a point are in equilibrium, then ea...
Explanation:
The statement is true and can be explained using the principle of vector addition. When three coplanar forces act on a point, they can be represented by vectors in a plane. If the forces are in equilibrium, it means that the net force acting on the point is zero. This implies that the vector sum of the three forces is zero.
Let's assume that the three forces are F1, F2, and F3, and the angles between them are α, β, and γ, respectively. Then we can write:
F1 + F2 + F3 = 0
We can apply the law of sines to this equation to obtain:
F1/sinα = F2/sinβ = F3/sinγ
This means that each force is proportional to the sine of the angle between the other two. This relationship is known as the principle of moments or the triangle law of forces.
This principle is useful in many engineering applications, such as the design of trusses, bridges, and other structures. It allows engineers to calculate the forces acting on each member of a structure and ensure that they are in equilibrium.
Conclusion:
The statement is correct. When three coplanar forces act on a point and are in equilibrium, each force is proportional to the sine of the angle between the other two. This principle is useful in many engineering applications and allows engineers to design structures that can withstand the forces acting on them.
The statement is true and can be explained using the principle of vector addition. When three coplanar forces act on a point, they can be represented by vectors in a plane. If the forces are in equilibrium, it means that the net force acting on the point is zero. This implies that the vector sum of the three forces is zero.
Let's assume that the three forces are F1, F2, and F3, and the angles between them are α, β, and γ, respectively. Then we can write:
F1 + F2 + F3 = 0
We can apply the law of sines to this equation to obtain:
F1/sinα = F2/sinβ = F3/sinγ
This means that each force is proportional to the sine of the angle between the other two. This relationship is known as the principle of moments or the triangle law of forces.
This principle is useful in many engineering applications, such as the design of trusses, bridges, and other structures. It allows engineers to calculate the forces acting on each member of a structure and ensure that they are in equilibrium.
Conclusion:
The statement is correct. When three coplanar forces act on a point and are in equilibrium, each force is proportional to the sine of the angle between the other two. This principle is useful in many engineering applications and allows engineers to design structures that can withstand the forces acting on them.
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If three coplaner forces acting on a point are in equilibrium, then each force is proportional to the sine, of the angle between the other two.a)Correctb)IncorrectCorrect answer is option 'A'. Can you explain this answer?
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