Problem 4.143 - Problem 4.143 [Difficulty: 4] Given: Data...

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Problem 4.143 [Difficulty: 4] Given: Data on vane/slider Find: Formula for acceleration and speed; plot Solution: The given data is ρ 999 kg m 3 = M3 0 k g = A 0.005 m 2 = V2 0 m s = μ k 0.3 = The equation of motion, from Problem 4.141, is dU dt ρ VU () 2 A M g μ k = The acceleration is thus a ρ 2 A M g μ k = Separating variables dU ρ 2 A M g μ k dt = Substitute uVU = dU du = du ρ A u 2 M g μ k dt = But u 1 ρ A u 2 M g μ k d M g μ k ρ A atanh ρ A g μ k M u = and u = V - U so M g μ k ρ A atanh ρ A g μ k M u M g μ k ρ A atanh ρ A g μ k M = Using initial conditions M g μ k ρ A atanh ρ A g μ k M M g μ k ρ A
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.

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Problem 4.143 - Problem 4.143 [Difficulty: 4] Given: Data...

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