Rotation 1 Question 3
3. A thin disc of mass and radius has mass per unit area , where is the distance from its centre. Its moment of inertia about an axis going through its centre of mass and perpendicular to its plane is
(2019 Main, 10 April I)
(a)
(b)
(c)
(d)
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Answer:
Correct Answer: 3. (d)
Solution:
- Given, Surface mass density,
So, mass of the disc can be calculated by considering small element of area
Moment of inertia about the axis of the disc,
From Eqs. (i) and (ii), we get