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# UCM 6

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### UCM 6

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