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Explanation of rigid body K.E=1/2I(omega)^2.......................

Explanation of rigid body K.E=1/2I(omega)^2.......................

Grade:12th pass

1 Answers

Pratham Sahu
33 Points
5 years ago
For a body following translational motion the kinetic energy is defined as ½ mv2 .We can extend this definition to riid body dynamics also.
Therefore K.E=½ mv2
                      =½ *(I/r2)*(wr)2                                                    [since I=mr2 and v=wr]
                      =½ Iw2
We can also prove it by integrating the work done by each particle
 
K.E=∫mv.dv
      =m∫(wr)d(wr)
      =mw2r2/2
      =Iw2/2
 

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