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Moment of inertia of disc,cylinder,rod and triangle

Moment of inertia:

Moment of inertia is defined as:”The sum of the products of the mass of each particle of the body and square of its perpendicular distance from axis.”For a rigid body moving about a fixed axis,the laws of motion have the same form as those of rectilinear motion,with moment of inertia replacing mass,angular replacing linear velocity,angular momentum replacing linear momentum,etc.Hence the kinetic energy of a body rotating about a fixed axis with angular velocity ω is ½ω²,which corresponds to ½mv² for the kinetic energy of a body of mass m translated with velocity v.See also Routh’s rule;theorem of parallel axes.

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