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Su-Jin Kim Gyeongsang National University Fall 2017
6. Friction Su-Jin Kim Gyeongsang National University Fall 2017
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OCW Dry Friction Inclined surface, Two boxes
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MIT Contact force Static friction
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Dry Friction Friction force = Coefficient of friction x Normal force : F = μ N Ex) F = 0.2 x 600 N = 120 N W F μ N
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Increase Friction Break Clutch P = n F n = 10
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Decrease Friction Lubricant (Oil) μ↘ Wheel , Bearing ↘ P F
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Tip over Slide or Tip over ? ΣM = W x – P h < 0 Tip over P W h F
N
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Static vs. Kinetic friction
Static μs > Kinetic μk Friction coefficient F s = μs N F k = μk N F stop sliding
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Ex1) Inclined surface μ = F / N = tan θ = 6/30 = 0.2 (0.4)
Static > Kinetic : μs > μk W 6 (12) θ N θ W F 30
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Ex2) Two boxes Top box slide only ? Top box tips over ?
Both boxes slide over ? Both boxes tip over together ? P
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Ex3) Ladder slide The ladder can slide when a person climbs on it. Explain the relationship between the coefficient of friction and the installation angle of the ladder.
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Mop Calculate the force when pushing and pulling along the angle θ. The weight of the mop is W, the coefficient of friction is μ, and the weight of the rod is ignored. F W θ
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