The couple is simplified easily by the help of right hand rule in free...
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. Forces are simplified on the basis of the algebra.
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The couple is simplified easily by the help of right hand rule in free...
Explanation:
The statement claims that the couple can be simplified easily using the right hand rule in free body diagrams, but the forces cannot be simplified because there are no rules to do so. Let's break down the statement and analyze each part individually to determine its accuracy.
Part 1: The couple is simplified easily by the help of right-hand rule in free body diagrams (False)
- The couple refers to a pair of equal and opposite forces acting on a body but not along the same line.
- The right-hand rule is a convention used to determine the direction of the moment or torque produced by a couple. It states that if you point your right thumb in the direction of one of the forces, the curling of your fingers will indicate the direction of the moment.
- However, the right-hand rule alone does not simplify the couple. It only helps in determining the direction of the moment produced by the couple. Simplification of the couple involves finding the resultant force and the distance between the forces. This requires additional calculations and cannot be done solely by the right-hand rule. Therefore, the first part of the statement is false.
Part 2: The forces simplification is not possible as there is no such system of rules so that the forces can be simplified (True)
- Forces cannot be simplified in the same way as couples because they do not have a specific direction and moment arm like couples do. Forces are vectors that have both magnitude and direction.
- Simplifying forces typically involves resolving them into their components, balancing them in equilibrium, or applying other principles such as Newton's laws of motion or the principle of virtual work.
- There is no universal system of rules to simplify forces in all scenarios because each situation requires different approaches and considerations. Forces are specific to the problem at hand and cannot be simplified using a general set of rules. Therefore, the second part of the statement is true.
Conclusion:
The correct answer is option 'C': The first part of the statement is true and the other part is false. The couple cannot be simplified easily using the right-hand rule alone, and forces cannot be simplified using a universal system of rules.
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