# UCM 6

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Published on March 7, 2008

Author: zglazenburg

Source: slideshare.net

Uniform Circular Motion

UCM is the motion of an object along a circular path at a constant speed

Centripetal force is any force or sum of forces that cause an object to move in UCM

During UCM centripetal force and centripetal acceleration are directed towards the center of the curvature

The velocity of the object is directed away from the curvature/tangential to the curvature

Example Problems

In the above diagram the centripetal force would be the force of fiction.

In the above diagram the centripetal force would be the force of fiction.

This is because Normal and Gravity cancel out because they are equal.

So in this case So F c =F f

In the above diagram the centripetal force on these children in the rotor would be the force of normal.

In the above diagram the centripetal force on these children in the rotor would be the force of normal.

This is because gravity is cancelled out by the force of friction

In this case F c =F N

In the above diagram the centripetal force acting on the object would be the force of tension in the string

In the above diagram the centripetal force acting on the object would be the force of tension in the string

This is because gravity is cancelled out by the force of normal

In this case F c =F t

In the above diagram the centripetal force acting on the planet would be the force of gravity

In the above diagram the centripetal force acting on the planet would be the force of gravity

This is because there is no other force acting on the planet

So in this case F c =F g /mg

Steps for Solving a UCM Problem

Decide which formula to use- Fc=mAc or Ac=v^2/r

Plug the variables in, and in the case of Fc, plug the ac formula into the Fc one.

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