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In which of the following cases, the mom...

In which of the following cases, the moment of inertial is greater than 0.005 kg `-m^(2)`

A

a disc of mass 0.3 kg, radius 0.2 m about its diameter.

B

a cylinder of mass 0.2 kg and radius 0.3 m about its axis.

C

a sphere of mass 0.1 kg radius 0.2 m about it tangent.

D

a rod of mass 0.2 kg and length 0.3m about it end.

Text Solution

Verified by Experts

The correct Answer is:
BCD

`I_(1)=1/4 mr^(2)=1/4xx0.3xx(0.2)^(2)=0.003 kg -m^(2)`
`I_(2)=1/2 xx0.2xx(0.3)^(2)=0.009 kg -m^(2)`
`I_(3)=2/5 xx0.1xx(0.2)^(2)+0.1xx(0.2)^(2)`
`I_(4)=1/3 xx0.2xx(0.3)^(2)`
`=0.2xx0.3xx0.03 =0.006 kg m^(2)`
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