Grade 12th passMechanics
Explanation of rigid body K.E=1/2I(omega)^2.......................
1 Answer
Pratham Sahu
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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