A heavy metallic rod of non-uniform mass distribution, is hanged vertically from a rigid support. The linear mass density varies as `lambda_((x))=k xx x` where x is the distance measured along the length of rod, from its lower end. Find extension in rod due to its own weight.

A heavy metallic rod of non-uniform mass distribution, is hanged verti

1.	A heavy metallic rod of non-uniform mass distribution, is hanged vertically from a rigid support. The linear mass density varies as `lambda_((x))=k xx x` where x is the distance measured along the length of rod, from its lower end. Find extension in rod due to its own weight.
Answer» Correct Answer - `Deltal=(kgl^(3))/(6AY)`

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A heavy metallic rod of non-uniform mass distribution, is hanged vertically from a rigid support. The linear mass density varies as `lambda_((x))=k xx x` where x is the distance measured along the length of rod, from its lower end. Find extension in rod due to its own weight.

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