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  • Try this! The moment of inertia of a solid sphere, about an axis parallel to its diameter and at a distance of x from it, is 'I(x)'. Which one of the graphs represents the variation of I(x) with x correctly ?

 The moment of inertia of a solid sphere, about an axis parallel to its diameter and at a distance of x from it, is 'I(x)'. Which one of the graphs represents the variation of I(x) with x correctly ? 

  • Option 1)

  • Option 2)

  • Option 3)

  • Option 4)

Answers (2)

best_answer

 

Paraller Axis Theorem -

I_{b\: b'}=I_{a\: a'}+Mh^{2}

- wherein

b\: b' is axis parallel to a\: a' & a\: a' an axis passing through centre of mass.

 

II' - Diameter

PQ - parallel to diameter

I_{X}=II^{'}+mx^{2}

I_{X}=\frac{2}{5}mR^{2}+mx^{2}

so graph is

 


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