Question
A circular disk has mass 2.0 kg and radius 50 cm. An annular cylinder of mass 1.0 kg, inner radius 20 cm and outer radius 30 cm is mounted concentrically on it. Both rotate at 10 rev/s about their common central axis perpendicular to the disk. (a) Find the total moment of inertia. (b) Find the rotational kinetic energy.
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Evidence boundary
The calculation uses the textbook idealization of uniform components about the axis shown. No off-center axis, extra shaft mass, density measurement or nonuniform mass distribution is supplied. The diagram is a schematic reconstructed from the verified source geometry, not a new measurement. Guard digits are retained to make both calculations reproducible; final results are also given to two significant figures.