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The algebraic sum of the resolved parts of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction. This is known as
- a)principle of independence of forces
- b)principle of resolution of forces
- c)principle of transmissibility of forces
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
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The algebraic sum of the resolved parts of a number of forces in a giv...
It states that the state of rest or motion of a rigid body is unaltered if a force acting on the body is replaced by another force of the same magnitude and direction but acting anywhere on the body in the line of action of the replaced force.
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The algebraic sum of the resolved parts of a number of forces in a giv...
Principle of Resolution of Forces
The principle of resolution of forces states that the algebraic sum of the resolved parts of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction. In other words, when several forces act on a body, they can be replaced by a single force called the resultant force, which has the same effect as the individual forces.
Explanation:
When multiple forces act on an object, it is often useful to determine the effect of these forces in a specific direction. To do this, we can break down each force into its components or resolved parts along that direction. The resolved parts are the projections of the forces on the chosen direction.
For example, let's consider two forces F1 and F2 acting on a body in the x-direction. The resolved parts of these forces in the x-direction are F1x and F2x, respectively. According to the principle of resolution of forces, the algebraic sum of F1x and F2x should be equal to the resolved part of the resultant force (FRx) in the x-direction.
Mathematically, this can be expressed as:
F1x + F2x = FRx
Similarly, if we consider the y-direction, the resolved parts of the forces in the y-direction (F1y and F2y) should add up to the resolved part of the resultant force (FRy) in the y-direction:
F1y + F2y = FRy
This principle holds true for any number of forces acting in any direction. The algebraic sum of the resolved parts in a given direction will always be equal to the resolved part of their resultant force in the same direction.
This principle is widely used in engineering and physics to analyze and solve problems involving multiple forces. By breaking down the forces into their components, we can simplify the calculations and determine the resultant force acting on a body.
In conclusion, the principle of resolution of forces states that the algebraic sum of the resolved parts of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction. This principle is essential for understanding and analyzing the effects of multiple forces on a body.
The principle of resolution of forces states that the algebraic sum of the resolved parts of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction. In other words, when several forces act on a body, they can be replaced by a single force called the resultant force, which has the same effect as the individual forces.
Explanation:
When multiple forces act on an object, it is often useful to determine the effect of these forces in a specific direction. To do this, we can break down each force into its components or resolved parts along that direction. The resolved parts are the projections of the forces on the chosen direction.
For example, let's consider two forces F1 and F2 acting on a body in the x-direction. The resolved parts of these forces in the x-direction are F1x and F2x, respectively. According to the principle of resolution of forces, the algebraic sum of F1x and F2x should be equal to the resolved part of the resultant force (FRx) in the x-direction.
Mathematically, this can be expressed as:
F1x + F2x = FRx
Similarly, if we consider the y-direction, the resolved parts of the forces in the y-direction (F1y and F2y) should add up to the resolved part of the resultant force (FRy) in the y-direction:
F1y + F2y = FRy
This principle holds true for any number of forces acting in any direction. The algebraic sum of the resolved parts in a given direction will always be equal to the resolved part of their resultant force in the same direction.
This principle is widely used in engineering and physics to analyze and solve problems involving multiple forces. By breaking down the forces into their components, we can simplify the calculations and determine the resultant force acting on a body.
In conclusion, the principle of resolution of forces states that the algebraic sum of the resolved parts of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction. This principle is essential for understanding and analyzing the effects of multiple forces on a body.
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The algebraic sum of the resolved parts of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction. This is known asa)principle of independence of forcesb)principle of resolution of forcesc)principle of transmissibility of forcesd)none of theseCorrect answer is option 'B'. Can you explain this answer?
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