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Motion of an Object on an Inclined Surface

Motion of an Object on an Inclined Surface. While working on a house repair project for Habitat for Humanity, you place your toolbox on a board that is slanted (one end on the ground, the other end resting on a bucket). 1) What will be the resulting motion of the toolbox?.

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Motion of an Object on an Inclined Surface

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  1. Motion of an Object on an Inclined Surface

  2. While working on a house repair project for Habitat for Humanity, you place your toolbox on a board that is slanted (one end on the ground, the other end resting on a bucket). 1) What will be the resulting motion of the toolbox? It will either: a) remain at rest, or b) accelerate down the ramp. • 2) What forces are acting on the toolbox? FN Ff Fg

  3. If we want to analyze the motion of this toolbox, the normal x-y coordinate axis doesn’t really fit too well. FN Ff Fg Neither of the axes line up with the ramp, making it difficult to figure out what is going on.

  4. By rotating the coordinate plane so that one axis is parallel to the ramp, FN Ff Fg it can be seen that the gravitational force can be resolved into two useful components. (The other two forces do not need to be; they are parallel to the axes.)

  5. Component of Fg PARALLEL to the ramp [ Fg (‖) ] • Component of Fgacting PERPENDICULAR to the ramp [ Fg (⊥) ] Adding these components together produces the entire Fg vector. • Fg (‖) • Fg • Fg (⊥)

  6. Fg (‖) These angles (Ѳ) are the same! • Fg • Fg (⊥)

  7. Fg (⊥) • Fg (⊥) • Fg • Fg • Fg (‖) • Fg (‖)

  8. Fg (‖) • Fg • Fg (⊥)

  9. Example: • A 45.0 kg polar bear cub slides down an icy (frictionless) slope. If the cub starts from rest and slides 3.0 meters down the 25° incline, what speed is it moving at the bottom?

  10. FN • Fg (‖) Fg

  11. FN • Fg (‖) Fg

  12. At this time, go back and finish the lab activity.

  13. The bear hits a rough patch on the way down, producing a frictional coefficient of 0.150 between its fur and the slope. What frictional force will act on the bear?

  14. FN Ff • Fg (⊥) Fg

  15. FN Ff • Fg (⊥) Fg

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