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From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed from the disc. The m oment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is
- a)4MR2
- b)40/9 MR2
- c)10 MR2
- d)37/9 MR2
Correct answer is option 'A'. Can you explain this answer?
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From a circular disc of radius R and mass 9M, a small disc of radius R...
Let σ be the mass per unit area
The total mass of the disc=σ×πR2 = 9M
The mass of the circular disc cut
Let us consider the above system as a complete disc of mass 9M and a negative mass M super imposed on it.
Moment of inertia (I1) of the complete disc = 1/2 9MR2 about a n a xis pa ssi n g th r ough O and perpendicular to the plane of the disc.
M.I. of the cut out portion about an axis passing through O' and perpendicular to the plane of disc
Moment of inertia (I1) of the complete disc = 1/2 9MR2 about a n a xis pa ssi n g th r ough O and perpendicular to the plane of the disc.
M.I. of the cut out portion about an axis passing through O' and perpendicular to the plane of disc
∴ M.I. (I2) of the cut out portion about an axis passing through O and perpendicular to the plane of disc
[Using perpendicular axis theorem] ∴ The total M.I. of the system about an axis passing through O and perpendicular to the plane of the disc is I = I1 + I2
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From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed from the disc. The m oment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O isa)4MR2b)40/9 MR2c)10 MR2d)37/9 MR2Correct answer is option 'A'. Can you explain this answer?
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From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed from the disc. The m oment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O isa)4MR2b)40/9 MR2c)10 MR2d)37/9 MR2Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed from the disc. The m oment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O isa)4MR2b)40/9 MR2c)10 MR2d)37/9 MR2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed from the disc. The m oment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O isa)4MR2b)40/9 MR2c)10 MR2d)37/9 MR2Correct answer is option 'A'. Can you explain this answer?.
From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed from the disc. The m oment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O isa)4MR2b)40/9 MR2c)10 MR2d)37/9 MR2Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed from the disc. The m oment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O isa)4MR2b)40/9 MR2c)10 MR2d)37/9 MR2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed from the disc. The m oment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O isa)4MR2b)40/9 MR2c)10 MR2d)37/9 MR2Correct answer is option 'A'. Can you explain this answer?.
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