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UCM 6
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.
8.
This is because
Normal and Gravity cancel out because they are equal.
9.
So in this
case So F c =F f
10.
11.
This is because
gravity is cancelled out by the force of friction
12.
In this case
F c =F N
13.
14.
This is because
gravity is cancelled out by the force of normal
15.
In this case
F c =F t
16.
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.