The lubrication force on a disk of radius a at a small separation h from a...
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The lubrication force on a disk of radius a at a small separation h from a plane was derived in class: FL= Fzez, where F₂ = 6¹μаW and W = - dh/dt is the velocity of the disk toward the plane. 14 a t h www/mx.a. 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 = h, 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 = h, at t = 0. For what t will the disk be removed from the plane (h = ∞o), ignoring the fact that the analysis breaks down when the condition h <a is no longer met? How long will a smoke alarm of mass 100 g and diameter 10 cm hang from a ceiling due to a wet adhesive of viscocity μ = 5000 g/cm-s and initial separation ho 0.001 cm? Express your answer in days. = The lubrication force on a disk of radius a at a small separation h from a plane was derived in class: FL= Fzez, where F₂ = 6¹μаW and W = - dh/dt is the velocity of the disk toward the plane. 14 a t h www/mx.a. 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 = h, 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 = h, at t = 0. For what t will the disk be removed from the plane (h = ∞o), ignoring the fact that the analysis breaks down when the condition h <a is no longer met? How long will a smoke alarm of mass 100 g and diameter 10 cm hang from a ceiling due to a wet adhesive of viscocity μ = 5000 g/cm-s and initial separation ho 0.001 cm? Express your answer in days. =
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A With the expression of the lubricating force F L F z e z where F z W and W dt dh and 2 F 2 is positive and constant to balance the applied force pus... View the full answer
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Posted Date:
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