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Motion on an Inclined Plane

Lesson #6. Motion on an Inclined Plane. Example Problem. A skier weighing 562 N is resting on an incline of 30 degrees above the horizontal, with her poles planted. Find the component of her weight that is parallel to the incline and the component that is perpendicular to the incline.

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Motion on an Inclined Plane

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  1. Lesson #6 Motion on an Inclined Plane

  2. Example Problem A skier weighing 562 N is resting on an incline of 30 degrees above the horizontal, with her poles planted. Find the component of her weight that is parallel to the incline and the component that is perpendicular to the incline. y-component y Fgy cos 30 = 562 N Fgy = - 487 N Fgx x-component x Fgy 30 ̊ Fgx Fg sin 30 = 562 N 30 ̊ Fgx = 281 N Fgx

  3. Practice Problem A 100 kg crate is sitting on a ramp that is tipped 50̊ to the horizontal. If the crate is at rest on the ramp, what are the x and y components of the force of gravity? y x-component Ff Fgx sin 50 = 980 N Fgx Fgx = 751 N x 50 ̊ Fgy y-component Fgy Fg cos 50 = 980 N 50 ̊ Fgy = -630 N Fgx

  4. Assessment • Read p. 132-135 • p. 133 #34 • p. 143 #99

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