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Three identical rings of radius a are placed on the xy-plane so that each ring touches tine other two tangentially. Each ring, which may be considered to be infinitesimally thin, has a mass M. The centres of three equidistant from the z-axis this common distance being 2a/√3 . What is the moment of inertia of this  system about the z-axis.
  • a)
    3 ma2
  • b)
    6 ma2
  • c)
    7 ma2
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

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VEENA MODANI
Sep 05, 2019
Related Three identical rings of radius a are placed on the xy-plane so that each ring touches tine other two tangentially. Each ring, which may be considered to be infinitesimally thin, has a mass M. The centres of three equidistant from thez-axis this common distance being 2a/√3 .What is the moment of inertia of thissystem about the z-axis.a)3 ma2b)6 ma2c)7 ma2d)None of theseCorrect answer is option 'C'. Can you explain this answer?
Using parallel axis theorem 
Ml of each ring about z-axis

So. Ml of whole system about z-axis

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Three identical rings of radius a are placed on the xy-plane so that each ring touches tine other two tangentially. Each ring, which may be considered to be infinitesimally thin, has a mass M. The centres of three equidistant from thez-axis this common distance being 2a/√3 .What is the moment of inertia of thissystem about the z-axis.a)3 ma2b)6 ma2c)7 ma2d)None of theseCorrect answer is option 'C'. Can you explain this answer? for IIT JAM 2022 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about Three identical rings of radius a are placed on the xy-plane so that each ring touches tine other two tangentially. Each ring, which may be considered to be infinitesimally thin, has a mass M. The centres of three equidistant from thez-axis this common distance being 2a/√3 .What is the moment of inertia of thissystem about the z-axis.a)3 ma2b)6 ma2c)7 ma2d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for IIT JAM 2022 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three identical rings of radius a are placed on the xy-plane so that each ring touches tine other two tangentially. Each ring, which may be considered to be infinitesimally thin, has a mass M. The centres of three equidistant from thez-axis this common distance being 2a/√3 .What is the moment of inertia of thissystem about the z-axis.a)3 ma2b)6 ma2c)7 ma2d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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Using parallel axis theoremMl of each ring about z-axisSo. Ml of whole system about z-axis