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In which of the following cases the centre of mass of a an rod is certainly not at its centre ?
- a)The density continuously increases from left to right
- b)The density continuously decreases from left to right
- c)The density decreases from left to right upto the centre and then increase
- d)The density increases from left to right upto the centre and then decreases
Correct answer is option 'A,B'. Can you explain this answer?
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Verified Answer
In which of the following cases the centre of mass of a an rod is cert...
- It can’t be since the integral would yield a value much greater than R/2
- It can’t be since the integral would yield a value much less than R/2
- Assuming the rate of increase and decrease is same the COM could lie in the centre
- Assuming the rate of increase and decrease is same the COM could lie in the centre
Most Upvoted Answer
In which of the following cases the centre of mass of a an rod is cert...
Understanding Centre of Mass in Rods
The centre of mass of an object depends on its mass distribution. For uniform density, it coincides with the geometric center. However, when density varies, the centre of mass shifts depending on how mass is distributed along the length of the rod.
Cases Explained
Conclusion
The centre of mass is certainly not at the center in cases A and B, where mass distribution is uneven, leading to a shift away from the geometric centre.
The centre of mass of an object depends on its mass distribution. For uniform density, it coincides with the geometric center. However, when density varies, the centre of mass shifts depending on how mass is distributed along the length of the rod.
Cases Explained
- Case A: Density Increases from Left to Right
- In this scenario, more mass accumulates towards the right end of the rod.
- This results in the centre of mass shifting to the right of the geometric center, as there is more mass on that side.
- Case B: Density Decreases from Left to Right
- Here, there is more mass on the left side and less on the right.
- This distribution causes the centre of mass to shift to the left of the geometric center.
- Case C: Density Decreases to the Centre, Then Increases
- In this arrangement, the left half has a higher density than the right half.
- While the left side’s mass decreases, the right side compensates by increasing density after the center. This can balance out, potentially keeping the centre of mass at the center.
- Case D: Density Increases to the Centre, Then Decreases
- Similar to case C, the left side has increasing density up to the center, then decreases.
- This distribution may also balance out, potentially keeping the centre of mass at the center.
Conclusion
The centre of mass is certainly not at the center in cases A and B, where mass distribution is uneven, leading to a shift away from the geometric centre.
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In which of the following cases the centre of mass of a an rod is certainly not at its centre ?a)The density continuously increases from left to rightb)The density continuously decreases from left to rightc)The density decreases from left to right upto the centre and then increased)The density increases from left to right upto the centre and then decreasesCorrect answer is option 'A,B'. Can you explain this answer?
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In which of the following cases the centre of mass of a an rod is certainly not at its centre ?a)The density continuously increases from left to rightb)The density continuously decreases from left to rightc)The density decreases from left to right upto the centre and then increased)The density increases from left to right upto the centre and then decreasesCorrect answer is option 'A,B'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In which of the following cases the centre of mass of a an rod is certainly not at its centre ?a)The density continuously increases from left to rightb)The density continuously decreases from left to rightc)The density decreases from left to right upto the centre and then increased)The density increases from left to right upto the centre and then decreasesCorrect answer is option 'A,B'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In which of the following cases the centre of mass of a an rod is certainly not at its centre ?a)The density continuously increases from left to rightb)The density continuously decreases from left to rightc)The density decreases from left to right upto the centre and then increased)The density increases from left to right upto the centre and then decreasesCorrect answer is option 'A,B'. Can you explain this answer?.
In which of the following cases the centre of mass of a an rod is certainly not at its centre ?a)The density continuously increases from left to rightb)The density continuously decreases from left to rightc)The density decreases from left to right upto the centre and then increased)The density increases from left to right upto the centre and then decreasesCorrect answer is option 'A,B'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In which of the following cases the centre of mass of a an rod is certainly not at its centre ?a)The density continuously increases from left to rightb)The density continuously decreases from left to rightc)The density decreases from left to right upto the centre and then increased)The density increases from left to right upto the centre and then decreasesCorrect answer is option 'A,B'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In which of the following cases the centre of mass of a an rod is certainly not at its centre ?a)The density continuously increases from left to rightb)The density continuously decreases from left to rightc)The density decreases from left to right upto the centre and then increased)The density increases from left to right upto the centre and then decreasesCorrect answer is option 'A,B'. Can you explain this answer?.
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In which of the following cases the centre of mass of a an rod is certainly not at its centre ?a)The density continuously increases from left to rightb)The density continuously decreases from left to rightc)The density decreases from left to right upto the centre and then increased)The density increases from left to right upto the centre and then decreasesCorrect answer is option 'A,B'. Can you explain this answer?, a detailed solution for In which of the following cases the centre of mass of a an rod is certainly not at its centre ?a)The density continuously increases from left to rightb)The density continuously decreases from left to rightc)The density decreases from left to right upto the centre and then increased)The density increases from left to right upto the centre and then decreasesCorrect answer is option 'A,B'. Can you explain this answer? has been provided alongside types of In which of the following cases the centre of mass of a an rod is certainly not at its centre ?a)The density continuously increases from left to rightb)The density continuously decreases from left to rightc)The density decreases from left to right upto the centre and then increased)The density increases from left to right upto the centre and then decreasesCorrect answer is option 'A,B'. Can you explain this answer? theory, EduRev gives you an
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