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A uniform sphere of mass m=5.0kg and rad...

A uniform sphere of mass `m=5.0kg` and radius `R=6.0cm` rotates with an angular velocity `omega=1250rad//s` about a horizontal axle passing through its centre and fixed on the mounting base by means of bearings. The distance between the bearings equals `l=15cm`. The base is set in rotation about a vertical axis with an angular velocity `omega^'=5.0rad//s`. Find the modulus and direction of the gyroscopic forces.

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