Physics

Physics · mechanics

Problem

Let us consider a rotational motion about a fixed axis. This motion has only one degree of freedom. We may model a rigid body as a collection of a large number of particles of masses

m_{i}(i=1,2, \ldots)

. We express the angular velocity of a particle about the rotational axis as

\boldsymbol{\omega}=\dot{\boldsymbol{\psi}}

and the distance from the axis to the

i

th particle as

r_{i}

. What is the angular momentum of the rigid body and the equation of the rotational motion?

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