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- 1. Uniform Circular Motion
- 2. UCM is the motion of an object along a circular path at a constant speed
- 3. Centripetal force is any force or sum of forces that cause an object to move in UCM
- 4. During UCM centripetal force and centripetal acceleration are directed towards the center of the curvature
- 5. The velocity of the object is directed away from the curvature/tangential to the curvature
- 6. Example Problems
- 7. <ul><li>In the above diagram the centripetal force would be the force of fiction. </li></ul>
- 8. This is because Normal and Gravity cancel out because they are equal.
- 9. So in this case So F c =F f
- 10. <ul><li>In the above diagram the centripetal force on these children in the rotor would be the force of normal. </li></ul>
- 11. This is because gravity is cancelled out by the force of friction
- 12. In this case F c =F N
- 13. <ul><li>In the above diagram the centripetal force acting on the object would be the force of tension in the string </li></ul>
- 14. This is because gravity is cancelled out by the force of normal
- 15. In this case F c =F t
- 16. <ul><li>In the above diagram the centripetal force acting on the planet would be the force of gravity </li></ul>
- 17. This is because there is no other force acting on the planet
- 18. So in this case F c =F g /mg
- 19. Steps for Solving a UCM Problem
- 20. Decide which formula to use- Fc=mAc or Ac=v^2/r
- 21. Plug the variables in, and in the case of Fc, plug the ac formula into the Fc one.

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