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If three concurrent forces are in equilibrium what is the relation between any one of the three forces and the resultant of the other two forces?
If three concurrent forces are in equilibrium, then each force is proportional to the resultant of the other two forces. This means that the magnitude and direction of each force are determined by the other two forces, ensuring that the system remains in equilibrium.
How do you determine equilibrium and resultant?
To determine equilibrium, you need to check if the sum of all forces acting on an object is zero. If the forces cancel each other out, the object is in equilibrium. Resultant force is the overall force acting on an object, taking into account the magnitude and direction of all individual forces acting on it. Mathematically, it is calculated by adding or subtracting all individual forces vectorially.
If the angle between two forces increases the magnitude of their resultant?
Yes, if the angle between two forces increases, the magnitude of their resultant will also increase. This is because the forces start to add up more effectively in the direction of the resultant as the angle decreases.
Determine the magnitude and direction of F so that the particle is in equilibrium?
To have equilibrium, the net force acting on the particle must be zero. The magnitude of force F must be equal in magnitude (but opposite in direction) to the resultant of all other forces acting on the particle. Therefore, to determine F, you need to calculate the vector sum of all other forces acting on the particle and then determine the magnitude and direction for F.
What is concurrent force?
Concurrent forces are forces that act on a single point but have different lines of action. The resultant of concurrent forces is found by resolving the forces into components and adding them vectorially.
What is the magnitude of resultant force in case of concurrent force in equilibrium?
The magnitude of the resultant force in the case of the concurrent forces in equilibrium.
If three concurrent forces are in equilibrium what is the relation between any one of the three forces and the resultant of the other two forces?
If three concurrent forces are in equilibrium, then each force is proportional to the resultant of the other two forces. This means that the magnitude and direction of each force are determined by the other two forces, ensuring that the system remains in equilibrium.
What is the magnitude of resultant in increasing angle between concurrent forces?
The magnitude of the resultant force in a system of concurrent forces changes as the angle between the forces increases. When two forces are at an angle of 0 degrees (acting in the same direction), the resultant is the sum of their magnitudes. As the angle increases to 90 degrees, the resultant reaches its maximum value based on the Pythagorean theorem. Beyond 90 degrees, the resultant decreases, ultimately reaching a minimum when the forces are in opposite directions (180 degrees), where the resultant is the difference of their magnitudes.
Why should three forces which are in equilibrium be coplaner and concurrent?
If suppose they are not coplanar then resultant of any two cannot cancel the third one and so equilibrium cannot be maintained. Same way as the forces are not concurrent then the same balancing of the resultant by the third one will not be possible.
What are the conditions of equilibrium when a number of parallel forces are acting on a body can a moving body be in equilibrium explain?
The first condition of equilibrium can be applied on concurrent forces that are equal in magnitude, since these produce translational equilibrium. But if the forces are equal in magnitude but are non concurrent then even first condition of equilibrium is satisfied but torque is produced which does not maintain rotational equilibrium. Hence for complete equilibrium that is, both translational and rotational , both the conditions should be satisfied.
What the magnitude of resultant vector of two equal forces each of magnitude F is?
the resultant magnitude is 2 times the magnitude of F as the two forces are equal, Resultant R= F + F = 2F and the magnitude of 2F is 2F.
How do you determine equilibrium and resultant?
To determine equilibrium, you need to check if the sum of all forces acting on an object is zero. If the forces cancel each other out, the object is in equilibrium. Resultant force is the overall force acting on an object, taking into account the magnitude and direction of all individual forces acting on it. Mathematically, it is calculated by adding or subtracting all individual forces vectorially.
What is the Definition of polygon law?
All the concurrent forces acting at a point can be represented by a polygon's sides closing with the resultant force equal in magnitude and opposite in direction.
How does the equilibrant force compare with the resulltant force?
The resultant is a trigonometric function, usually using the Law of Cosines in two dimensional solution by vector resolution, of two or more known forces while equilibrant is equal in magnitude to the resultant, it is in the opposite direction because it balances the resultant.Therefore, the equilibrant is the negative of the resultant.
If the angle between two forces increases the magnitude of their resultant?
Yes, if the angle between two forces increases, the magnitude of their resultant will also increase. This is because the forces start to add up more effectively in the direction of the resultant as the angle decreases.
What are the examples of static equilibrium of concurrent forces?
In any situation in which an object doesn't move, it is in equilibrium.
Determine the magnitude and direction of F so that the particle is in equilibrium?
To have equilibrium, the net force acting on the particle must be zero. The magnitude of force F must be equal in magnitude (but opposite in direction) to the resultant of all other forces acting on the particle. Therefore, to determine F, you need to calculate the vector sum of all other forces acting on the particle and then determine the magnitude and direction for F.
