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Conservation of angular momentum (view source)

Revision as of 03:32, November 18, 2007

216 bytes added ,  03:32, November 18, 2007
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Calculating the moment of inertia ''I'' now becomes necessary for a rod of length ''l'' and mass ''M'', with a small block of mass ''m'' at its end.
 
Calculating the moment of inertia ''I'' now becomes necessary for a rod of length ''l'' and mass ''M'', with a small block of mass ''m'' at its end.
   −
An ordinary rod of length ''l'' has the following moment of inertia relative to an origin at one end:
+
An ordinary rod of length ''l'' has the following moment of inertia relative to an axis of rotation at one end:
    
:<math>\mathbf{I}= \frac{M}{3}\times{l^2}</math>  
 
:<math>\mathbf{I}= \frac{M}{3}\times{l^2}</math>  
    +
A [[moment of inertia]] is additive, defined as follows:
 +
 +
:<math>I \ \stackrel{\mathrm{def}}{=}\  m r^2\,\!</math>
 +
where
 +
:''m'' is the mass at each (perpendicular) distance ''r'' from the axis of rotation.
 
[[category:physics]]
 
[[category:physics]]
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