inclinedplanes - Why is the component of mg along the...

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Inclined Planes Label the direction of N and mg. mg θ N Use slide show mode (press F5) for animations.
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Inclined Planes Mark the direction of acceleration a. mg θ N a
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Inclined Planes Choose the coordinate system with x in the same or opposite direction of acceleration and y perpendicular to x. mg θ N a x y
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Inclined Planes Now some trigonometry mg θ N a x y 90- θ θ
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Inclined Planes mg mg sin θ θ θ mg cos N a x y Replace the force of gravity with its components.
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Inclined Planes Use Newton’s second law for both the x and y directions ma ma F x x - = = Σ mg mg sin θ θ θ mg cos N a x y ma mg - = - ⇒ θ sin 0 = = Σ y y ma F 0 cos = - mg N The force and acceleration in the x-direction have a negative sign because they point in the negative x-direction.
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Inclined Planes Why is the component of mg along the x-axis –mgsinθ
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Unformatted text preview: Why is the component of mg along the y-axis mgcos mg mg sin mg cos N a x y Inclined Planes Why is the component of mg along the x-axis: mgsin Why is the component of mg along the y-axis: mgcos mg mg sin mg cos N a x y Inclined Planes Why is the component of mg along the x-axis: mgsin Why is the component of mg along the y-axis: mgcos mg mg sin mg cos N a x y Inclined Planes Why is the component of mg along the x-axis: mgsin Why is the component of mg along the y-axis: mgcos mg mg sin mg cos N a x y sin = cos = opposite hypotenuse adjacent hypotenuse...
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inclinedplanes - Why is the component of mg along the...

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