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## Homework Statement

A thin uniform metallic rod of length L rotates with an angular velocity ω in a horizontal plane about a vertical axis passing through one of its ends. Calculate the tension in the rod as function of distance from axis. The density of the rod is ρ and its area of cross-section is A.

Attempt:

If we fix our reference frame on the axis of the rod, this is the force diagram :

dT = dmω

^{2}x

I am confused in calculating the tension about a point or on a small element 'dx' shown. Do I have to integrate dT from X=0 to X=x ?

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