A slider bearing can be described as one plate moving with a velocity $V$ parallel to a

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A slider bearing can be described as one plate moving with a velocity $V$ parallel to a stationary plate, with a viscous lubricant in between the plates. The force applied to the moving plate is $F$, and the distance between the plates is $H$. If the lubricant is a grease with properties that can be described by the power law model, derive an equation relating the velocity $V$ to the applied force $F$ and the gap clearance $H$, starting with the general microscopic continuity and momentum equations. If the area of the plate is doubled, with everything else staying the same, how will the velocity $V$ change?

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