TwoDimensional Motion Inclined Planes Inclined Planes A simple

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Two-Dimensional Motion Inclined Planes

Two-Dimensional Motion Inclined Planes

Inclined Planes A simple block on an incline 30° Fg

Inclined Planes A simple block on an incline 30° Fg

Inclined Planes B/c the block in on an incline, we adjust our coordinate system

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

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 There is an Fgx and an Fgy Fgx Fgy Fg

Inclined Planes There is an Fgx and an Fgy Fgx Fgy Fg

Inclined Planes Notice that the coordinate system has been adjusted… How much? Y X

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 Therefore the angle between Fg and Fgy is… 30° Fgx Fgy 30°

Inclined Planes Therefore the angle between Fg and Fgy is… 30° Fgx Fgy 30° Fg

Inclined Planes Therefore the angle between Fg and Fgy is… 30° Fgx 30°Fgy 30°

Inclined Planes Therefore the angle between Fg and Fgy is… 30° Fgx 30°Fgy 30° Fg

Inclined Planes Now we are able to solve for fgx and fgy Fgx is

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…

Inclined Planes Realign the vectors (Tip-to-Tail) to complete a right triangle and you get… F 30° g 30°Fgy Fgx

Inclined Planes Lets take a closer (magnified) look at the similar triangle F 30°

Inclined Planes Lets take a closer (magnified) look at the similar triangle F 30° g 30°Fgy Fgx

Inclined Planes Lets take a closer (magnified) look at the similar triangle Y Nice!

Inclined Planes Lets take a closer (magnified) look at the similar triangle Y Nice! 30° X Fgy Fgx Fg

Inclined Plane Problem A 784 -N skier on a hill that makes a 35

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?