motion on an inclined plane
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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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example problem
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

practice problem
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

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