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moment of inertia of a hollow sphere of mass M and inner radius R and outer radius 2R having uniform mass distribution about diameter axis is
moment of inertia of a hollow sphere of mass M and inner radius R and outer radius 2R having uniform mass distribution about diameter axis is

```
3 years ago

Arun
25768 Points
```							 dencity of sphere (d) = M/V V = 4pi/3 ((2r)3 -r3)=4pi (7r3) /3  d = 3M/4pi(7r3)          now , consider a hollow sphere of thickness dx at a distance x from center.....   ( x is in between r to 2r..) mass of this sphere = dm = d(4pix2dx)                           dm= 3Mx2dx/7r3 now moment of inertia of this elemental hollow sphere is dI dI = 2dmx2 /3                                              (Isphere (hollow) = 2mr2/3) dI = (2/7)(M/r3)x4dx now integrating I = (2/35)(M/r3)x5  lim r to 2r I = (62/35)Mr2
```
3 years ago
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• Mind Map
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• Previous Year Exam Questions