First slide
Moment of intertia
Question

Identify the correct order in which the values of M.I. decreases for the following
i) M.I. of solid sphere of mass 'M' and radius 'R' about its diameter of rotation
ii) M.I. of uniform ring of mass 'M' and radius 'R' about its tangent perpendicular to its plane
iii) M.I. of uniform disc of mass 'M' and radius 'R' about its diameter
iv) M.I of a uniform solid cylinder of mass M about its own axis of rotation

Moderate
Solution

For the sphere, I1 = 2/5 MR2

For the ring, I2 = MR2 + MR2 = 2MR2

For the disc, I3 = 1/4 mR2

For the cylinder, I4 = 1/2 MR2

 I2 > I4 > I1 > I3

So, option -(3) is correct.

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