Rotation 1 Question 5
5. A thin circular plate of mass and radius has its density varying as with as constant and is the distance from its centre. The moment of inertia of the circular plate about an axis perpendicular to the plate and passing through its edge is . The value of the coefficient is
(a)
(b)
(c)
(d)
(2019 Main, 8 April I)
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Answer:
Correct Answer: 5. (*)
Solution:
- Consider an elementary ring of thickness
and radius .
Moment of inertia of this ring about a perpendicular axes through centre is
Moment of inertia of this elementary ring about a perpendicular axes at a point through edge, (by parallel axes theorem)
Moment of inertia of complete disc is