1.

ABC is right angled triangular plane of uniform thickness The sides are such that AB gt BC as sshown in figure I_(1),I_(2),I_(3) are moments of inertia about AB, BC and AC, respectively.Then which of the following relations is correct?

Answer»

`l_(1)=I_(2)=l_(3)`
`l_(2)gtl_(1)gtl_(3)`
`l_(3)ltl_(2)ltl_(1)`
`l_(3)gtl_(1)gtl_(2)`

Solution :The MOMENT of inertia of a body about an axis depends not onluy on the MASS of the body but also on the distribution of mass about the axis . Fo a given body mass is same so it will depend only on the distribution of mass about the axis .The mass is farthest from axis BC,So `I_(2)` is maximum mass is nearest to axis AC, so `I_(3)` is minimum.
Hence the correct sequence will be `I_(2)gtI_(1)gtI_(3)`


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