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Forces at Angles

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Recall: In this case the Applied Force is horizontal only If the F=Ff, it means the object is either at rest or moving at a constant velocity FfFf

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Force at an Angle What happens to the all of the Forces if the Applied force is placed at an angle? θ FaFa FfFf F g =W FNFN Actual Drawing

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FBD Draw two different FBD The actual FBD The component FBDθ θ FaFa FfFf F g =W FNFN FfFf FNFN F x = F a cosθ F y = F a sinθ

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Determining Acceleration When a question asks about an acceleration of a block (x-direction) Use Newtons Second Law Be sure to sum the forces ONLY in the X- direction F Net = F x - F f

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Determining Normal Force When a question asks about the Normal force of a block (y- direction) F N = F g – F y Be sure to sum the forces ONLY in the Y –direction

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Example: If the little girl in the picture before is pulling her 10 kg little sister with a force of 50N at an angle of 15 o and the force of friction is 5N, what is the girls acceleration and what is the normal force?

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Rotating orientation When looking at objects on an incline the easiest idea is to rotate the orientation of the X-Y axis to the angle X Y X Y

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Weight on an Incline θ old x axis old y axis new x axis: parallel to incline new y axis: perpendicular to incline Zoomed In FgFg FNFN FfFf θ

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Determining Parallel & Perpen Force of Friction: Force of friction is opposite the angle and you know the hypotenuse Normal Force: Normal force is adjacent to the angle and you know the hypotenuse FgFg FNFN FfFf θ

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Velocity v= v0 + at Position x = x0 + v0t + ½ at2 FORCES

Velocity v= v0 + at Position x = x0 + v0t + ½ at2 FORCES

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