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F.2 Problem Statement: The lubrication force on a disk of radius a at a small separation h from a plane was derived in class: 3

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F.2 Problem Statement: The lubrication force on a disk of radius a at a small separation h from a plane was derived in class: 3 FL = F232: where Fz = l (E) onuaW 4h q\"_-..l and W = dh/dt is the velocity of the disk toward the plane. _L;. 7//////// r A. Suppose that F2 is positive and constant (to balance an applied force pushing the disk toward the plane). Integrate the above expression subject to h 2 he at t = 0. For what t will the disk touch the plane [h = 0)? B. Suppose instead F2 is negative and constant (to balance an applied force pulling the disk away from the plane). Again, find an expression for h(t) subject to h = ho at t = 0. For what t will the disk be removed from the plane (h = 00), ignoring the fact that the analysis breaks down when the condition h

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