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/m3.

Find the moment of inertia of the rod about an axis passing through the origin.
I =______ kg-m2

At t = 0, a constant angular acceleration of 8.00 rad/s2 is applied to the rod. Find the kinetic energy of the rod at t = 10 s.
K =______ kJ

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