A solid cube of side c = 80 mm is attached as shown to cord AB. It is observed to spin at the rate U=40 rad/s about its diagonal BC and to precess at the constant rate  O =5rd/s about the vertical axis AD Knowing that β = 30°, determine the angle 0 that the diagonal BC forms with the vertical. (Hint: The moment of inertia of a cube about an axis through its center is independent of the orientation of that axis.)

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A solid cube of side c = 80 mm is attached as shown to cord AB. It is observed to spin at the rate U=40 rad/s about its diagonal BC and to precess at the constant rate  O =5rd/s about the vertical axis AD Knowing that β = 30°, determine the angle 0 that the diagonal BC forms with the vertical. (Hint: The moment of inertia of a cube about an axis through its center is independent of the orientation of that axis.)

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