A disc with radius of gyration \(50 \mathrm{~mm}\) and mass of \(3 \mathrm{~kg}\) is mounted centrally on a horizontal axle of \(90 \mathrm{~mm}\) length between the bearings. It spins about the axle at \(750 \mathrm{rpm} \mathrm{ccw}\) when viewed from the right hand side bearing. The axle precesses about a vertical axis at \(60 \mathrm{rpm}\) in the ccw direction when viewed from above. Determine the resultant reaction at each bearing due to mass and the gyroscopic effect.