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Say me about motion of rigid bodies and derivation of moment of inertias of different types of objects like cylinder, rod,e.t.c

Say me about motion of rigid bodies and derivation of moment of inertias of different types of objects like cylinder, rod,e.t.c

Grade:11

1 Answers

Vikas TU
14149 Points
7 years ago
Moment of inertia for the rigid body is simply as: => product of their masses with the square of the distance from point of interest.
For cyclinder,
dI = dM*r^2 where r is the radii of the cylinder 
dM = p*dV and dV = dA * L and dA = 2pirdr and thus dV = 2pirLdr
substituting all the values and integerating we get the M.O.I for the cylinder as=> MR^2/2 for solid
and MR^2 for Hollow cylinder respetively.

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