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Two-Dimensional Motion. Inclined Planes. Inclined Planes. A simple block on an incline. 30°. F g. Inclined Planes. B/c the block in on an incline, we adjust our coordinate system to fit the incline. Y. X. 30°. F g. Aligning the X axis with the Incline. Inclined Planes.

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two dimensional motion

Two-Dimensional Motion

Inclined Planes

inclined planes
Inclined Planes

A simple block on an incline

30°

Fg

inclined planes1
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 planes2
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 planes3
Inclined Planes
  • There is an Fgx and an Fgy

Fgx

Fgy

Fg

inclined planes4
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 planes5
Inclined Planes
  • Therefore the angle between Fg and Fgy is…

30°

Fgx

Fgy

30°

Fg

inclined planes6
Inclined Planes
  • Therefore the angle between Fg and Fgy is…

30°

Fgx

Fgy

30°

30°

Fg

inclined planes7
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 planes8
Inclined Planes
  • Realign the vectors (Tip-to-Tail) to complete a right triangle and you get…

Fgy

30°

Fg

30°

Fgx

inclined planes9
Inclined Planes
  • Lets take a closer (magnified) look at the similar triangle

Fgy

30°

Fg

30°

Fgx

inclined planes10
Inclined Planes
  • Lets take a closer (magnified) look at the similar triangle

Y

Nice!

Fgy

30°

Fgx

X

Fg

inclined plane problem
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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