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If solving the question in 3D calculations is difficult, then use the 2D system and then equate the ratio of the product of the centroid of the section to its mass to the total mass of the body to the centroid.
- a)True
- b)False
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If solving the question in 3D calculations is difficult, then use the ...
The answer is obviously no. Still if we are having any difficulty in making the vector components, then we can go in 2D. As if the particle is in equilibrium, the net force will be zero. No matter where you see first. Net force is zero. But the statement here is not correct about the centroid.
Most Upvoted Answer
If solving the question in 3D calculations is difficult, then use the ...
Explanation:
In this question, we are given a scenario where solving a question involving 3D calculations is difficult. In such cases, we can simplify the problem by considering a 2D system and then equating the ratio of the product of the centroid of the section to its mass to the total mass of the body to the centroid.
2D System:
A 2D system refers to a simplified representation of a problem in two dimensions. It allows us to consider only the relevant parameters and variables in a plane, ignoring the complexities of the third dimension.
Equating Ratio:
When we equate the ratio of the product of the centroid of the section to its mass to the total mass of the body to the centroid, we are essentially balancing the moments about the centroid. This is based on the principle of equilibrium, where the sum of all moments acting on an object is zero.
Reasoning behind the Correct Answer:
The correct answer to this question is option 'B' - False. This is because although using a 2D system can simplify calculations and make them easier, it does not guarantee an accurate or correct solution. The 2D system may not capture all the complexities and interactions of the problem that are present in the 3D system.
Importance of 3D Calculations:
In many mechanical engineering applications, it is crucial to accurately analyze and solve problems in three dimensions. This is because real-world objects and systems exist and interact in three-dimensional space. Ignoring the third dimension can lead to inaccurate results and incorrect conclusions.
Conclusion:
While using a 2D system can sometimes simplify calculations, it does not guarantee a correct solution. It is important to carefully consider the nature of the problem and the relevance of the third dimension before deciding whether to use a 2D or 3D system.
In this question, we are given a scenario where solving a question involving 3D calculations is difficult. In such cases, we can simplify the problem by considering a 2D system and then equating the ratio of the product of the centroid of the section to its mass to the total mass of the body to the centroid.
2D System:
A 2D system refers to a simplified representation of a problem in two dimensions. It allows us to consider only the relevant parameters and variables in a plane, ignoring the complexities of the third dimension.
Equating Ratio:
When we equate the ratio of the product of the centroid of the section to its mass to the total mass of the body to the centroid, we are essentially balancing the moments about the centroid. This is based on the principle of equilibrium, where the sum of all moments acting on an object is zero.
Reasoning behind the Correct Answer:
The correct answer to this question is option 'B' - False. This is because although using a 2D system can simplify calculations and make them easier, it does not guarantee an accurate or correct solution. The 2D system may not capture all the complexities and interactions of the problem that are present in the 3D system.
Importance of 3D Calculations:
In many mechanical engineering applications, it is crucial to accurately analyze and solve problems in three dimensions. This is because real-world objects and systems exist and interact in three-dimensional space. Ignoring the third dimension can lead to inaccurate results and incorrect conclusions.
Conclusion:
While using a 2D system can sometimes simplify calculations, it does not guarantee a correct solution. It is important to carefully consider the nature of the problem and the relevance of the third dimension before deciding whether to use a 2D or 3D system.
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If solving the question in 3D calculations is difficult, then use the 2D system and then equate the ratio of the product of the centroid of the section to its mass to the total mass of the body to the centroid.a)Trueb)FalseCorrect answer is option 'B'. Can you explain this answer?
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