# Need physics help with the rotation and Inertia of a rod

**Question description**

A thin rod lies at rest along the *x* axis with one end at *x* = -*a* and the other end at *x* = *a*, where *a* = 2.66 m. The rod has a *non-uniform density* given by λ(*x*) = β(*x*+*a*)^{2}, where β=0.33 kg/m^{3}.

Find the moment of inertia of the rod about an axis passing through the origin.*I* =______ kg-m^{2}

At *t* = 0, a constant angular acceleration of 8.00 rad/s^{2} is applied to the rod. Find the kinetic energy of the rod at *t* = 10 s.*K* =______ kJ

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