A homogeneous cone with a vertex angle 2a = 60, base radius r = 0.2 m and

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Question:

A homogeneous cone with a vertex angle 2a = 60°, base radius r = 0.2 m and mass m = 10 kg rotates about the axis coinciding with the cone slant, with a constant angular velocity omega = 10 rad / s. Determine the dynamic reactions in the bearings if they are at a distance of a = 0.1 m from the ends of the slant.