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Inclined Plane Problems
Understand ∑F = ma & how to resolve into x,y components in the tilted coordinate system!! Tilted coordinate system: Convenient, but not necessary.
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FGy= FGcos(θ) = -mgcos(θ) You MUST understand this case to
By trigonometry: FGx= FGsin(θ) = mgsin(θ) FGy= FGcos(θ) = -mgcos(θ) You MUST understand this case to understand the case with friction!! By geometry, the 2 angles marked θ are the same! FG = mg
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Example Is the normal force FN equal & opposite to the weight FG?
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Example ∑F = ma FN = mgcosθ
x: mgsinθ – Ff = ma y: FN - mgcosθ = 0 Friction: Ff = μkFN NOTE: FN = mgcosθ mg THE NORMAL FORCE IS NOT EQUAL TO THE WEIGHT!!!
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