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## PowerPoint Slideshow about ' Two-Dimensional Motion' - nayda-hines

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### Two-Dimensional Motion

Inclined Planes

Inclined Planes

B/c the block in on an incline,

we adjust our coordinate system to fit the incline

Y

X

30°

Fg

Aligning the X axis with the Incline

Inclined Planes

- Notice the gravitational force (Fg) is pulling straight down
- Doesn’ t the Fg also pull you down the hill?
YEP!

So, there are components of the Fg

(x and y)

Inclined Planes

- Notice that the coordinate system has been adjusted… How much?

Y

X

30°

Fg

It has been adjusted by the incline, 30°

Inclined Planes

- Now we are able to solve for fgx and fgy
- Fgx is the force pulling the block down the incline
- Fgy is the force keeping the block in contact with the incline

Inclined Planes

- Realign the vectors (Tip-to-Tail) to complete a right triangle and you get…

Fgy

30°

Fg

30°

Fgx

Inclined Planes

- Lets take a closer (magnified) look at the similar triangle

Y

Nice!

Fgy

30°

Fgx

X

Fg

Inclined Plane Problem

- A 784-N skier on a hill that makes a 35 angle with the horizontal begins to accelerate down the hill.
- Draw the pictorial diagram and free-body diagram
- What is the component of the skier’s weight parallel to the incline plane?
- What is the normal force?

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