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GRAVITATIONAL COMPONENTS

GRAVITATIONAL COMPONENTS. RECTANGULAR RESOLUTION WITH THE WEIGHT VECTOR. CAR. A CAR ON A HILL. W. The gravitational pull (W) is vertically downward. Weight vector. W=mg. This pull can be thought of in 2 components (pieces) relative to the hill. Parallel Component. Wx. W.

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GRAVITATIONAL COMPONENTS

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  1. GRAVITATIONAL COMPONENTS RECTANGULAR RESOLUTION WITH THE WEIGHT VECTOR

  2. CAR A CAR ON A HILL W The gravitational pull (W) is vertically downward.

  3. Weight vector W=mg This pull can be thought of in 2 components (pieces) relative to the hill.

  4. Parallel Component Wx W One component parallel to the plane: this is the amount of weight unsupported by the hill.

  5. Perpendicular Component Wy W One component perpendicular to the plane: This is the amount of pull that will be supported by the plane.

  6. Components of the Weight Wx θ θ Wy W Wy = cos θ (mg) Wx = sin θ (mg) θ = angle of hill

  7. CAR Free Body Diagram N f Wx = sin θmg θ θ Wy = cos θmg W

  8. y– axis CAR N Wy = cos θ (mg) Fy = ma  Fy = 0 :a = 0 on y-axis N – Wy = 0 N = Wy N = Cos θ (mg)

  9. CAR x - axis f Wx = sin θ (mg) Fx = ma  Fx = 0 if a = 0 Wx – f = 0 Wx = f sin θ (mg) = f

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