Machine Design
According to maximum normal stress theory, the maximum normal stress in the shaft is

√(σ² × 4τ²)
σ + √(σ² × 4τ²)
(1/2) × √(σ² × 4τ²)
(1/2) × [σ + √(σ² × 4τ²)]

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Machine Design
When the shaft rotates in anticlockwise direction at high speed in a bearing, it will

Have contact at the bottom most of the bearing
Move towards right of the bearing making no metal to metal contact
Move towards right of the bearing making metal to metal contact
Move towards left of the bearing making metal to metal contact

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