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What is the explanation of why does gasoline leaks from a bearing seal but oil does not?

Because different fluids have other characteristics which require different types of seals. In the case of gas, you should be considering capillary action of the different fluids.
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Correct beam theory for calculating radial force in bearing due to a bending moment in beam?

The sketch shows the distribution of static reactions (C & V). Hope this helps.
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Correct beam theory for calculating radial force in bearing due to a bending moment in beam?

Depending on the mass of the disk and its rotational speed we will have to calculate the procession period and secondary forces caused by that. $$\Omega = \frac{\tau}{ L} = \frac{\tau}{I\omega}$$ $\...
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