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? A. `l_(1)=I_(2)=l_(3)`B. `l_(2)gtl_(1)gtl_(3)`C. `l_(3)ltl_(2)ltl_(1)`D. `l_(3)gtl_(1)gtl_(2)`

ABC is right angled triangular plane of uniform thickness The sides ar

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? A. `l_(1)=I_(2)=l_(3)`B. `l_(2)gtl_(1)gtl_(3)`C. `l_(3)ltl_(2)ltl_(1)`D. `l_(3)gtl_(1)gtl_(2)`
Answer» Correct Answer - b 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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