The thin circular disk of mass m and radius R ishinged about its horizontal tangent axis

Chapter 7, Problem 7/87

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The thin circular disk of mass m and radius R is hinged about its horizontal tangent axis to the end of a shaft rotating about its vertical axis with an angular velocity \(\omega\). Determine the steady-state angle \(\beta\) assumed by the plane of the disk with the vertical axis. Observe any limitation on \(\omega\) to ensure that \(\beta>0\).

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