
Centripetal Force 

The forces acting on the mass M are in equilibrium,
so we can say (considering magnitudes only) 

where Te is the tension in the
string 
The force causing the centripetal acceleration is
the horizontal component of the tension in the string. 
Therefore, we can write 

It is clear from the diagram that 

As shown here
the centripetal force F_{c} is given by 

So we have 

or 


This means that, if a graph of
ω_{2}
against M is a straight line passing through
the origin, we have verified the relation between
centripetal force and angular speed (assuming we keep
L constant). 

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