The bent plate has a mass of \(70 \mathrm{~kg}\) per square meter of surface area and revolves about the \(z\)-axis at the rate \(\omega=30 \mathrm{rad} / \mathrm{s}\). Determine (a) the angular momentum \(\mathbf{H}\) of the plate about point \(O\) and (b) the kinetic energy \(T\) of the plate. Neglect the mass of the hub and the thickness of the plate compared with its surface dimensions.

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100 mm A x 75 mm. 150 mm B 125 mm y