The uniform circular disk of 4-in. radius and smallthickness weighs 8 lb and is spinning

Chapter 7, Problem 7/140

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The uniform circular disk of 4-in. radius and small thickness weighs 8 lb and is spinning about its \(y^{\prime}\)- axis at the rate N = 300 rev/ min with its plane of rotation tilted at a constant angle \(\beta=20^{\circ}\) from the vertical x-z plane. Simultaneously, the assembly rotates about the fixed z-axis at the rate p = 60 rev/ min. Calculate the angular momentum \(\mathbf{H}_{O}\) of the disk alone about the origin O of the x-y-z coordinates. Also calculate the kinetic energy T of the disk.

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