1 / 13

Two-Dimensional Motion

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.

nayda-hines
Download Presentation

Two-Dimensional Motion

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Two-Dimensional Motion Inclined Planes

  2. Inclined Planes A simple block on an incline 30° Fg

  3. 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

  4. 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)

  5. Inclined Planes • There is an Fgx and an Fgy Fgx Fgy Fg

  6. Inclined Planes • Notice that the coordinate system has been adjusted… How much? Y X 30° Fg It has been adjusted by the incline, 30°

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

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

  9. 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

  10. Inclined Planes • Realign the vectors (Tip-to-Tail) to complete a right triangle and you get… Fgy 30° Fg 30° Fgx

  11. Inclined Planes • Lets take a closer (magnified) look at the similar triangle Fgy 30° Fg 30° Fgx

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

  13. 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?

More Related