Just like the collinear forces for free body diagrams there are collin...
Both of them are vector quantities. And both of them can be easily simplified. If taken in the vector form then the task is even easier. Thus it is not necessary for the force or the couple to be vector only, even if the magnitude is taken, the simplification is done in the 2D.
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Just like the collinear forces for free body diagrams there are collin...
The answer is option 'C' - The first part of the statement is true and the other part is false.
Explanation:
Collinear Forces:
Collinear forces refer to forces that have the same line of action, meaning they act along the same line or are parallel to each other. When multiple collinear forces act on an object, their magnitudes can be added or subtracted to find the net force acting on the object.
Free Body Diagrams:
Free body diagrams are used in engineering and physics to visually represent the forces acting on an object. These diagrams help in analyzing and understanding the forces and their effects on the object. In a free body diagram, the forces acting on the object are represented as vectors, with their magnitudes and directions.
Collinear Couple:
A couple is a pair of forces that are equal in magnitude, parallel in direction, and do not act along the same line. When the forces in a couple have the same line of action, it is called a collinear couple. The couple produces a rotational effect or moment on the object rather than a translational motion.
Net Moment:
The net moment is the sum of the moments produced by all the forces acting on an object. The moment of a force is the product of the force and the perpendicular distance from the point of rotation to the line of action of the force. The net moment determines the rotational equilibrium or the tendency of the object to rotate.
Statement Analysis:
The statement in question states that just like collinear forces in free body diagrams, there are collinear couples, and the net moment is taken out from it. Let's analyze each part of the statement:
1. The first part of the statement: "Just like the collinear forces for free body diagrams, there are collinear couples."
This part of the statement is false. Collinear forces and collinear couples are not the same. Collinear forces act along the same line and can be added or subtracted to find the net force. On the other hand, collinear couples consist of forces that do not act along the same line and produce a rotational effect rather than a translational motion.
2. The second part of the statement: "The net moment is taken out from it."
This part of the statement is false as well. The net moment is not taken out from a collinear couple. The net moment is calculated by considering all the forces acting on an object, including both collinear and non-collinear forces. The collinear couple, if present, would contribute to the net moment, but it is not the sole contributor.
Conclusion:
In conclusion, the first part of the statement is false because collinear forces and collinear couples are not the same. The second part of the statement is also false because the net moment is not taken out from a collinear couple. The net moment is determined by considering all the forces acting on an object, including both collinear and non-collinear forces.
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