The second principle of rotation dynamics

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The second principle of dynamics of rotation - formulation of the second principle of dynamics for the rigid body rotation around a fixed axis (not rotating in space). This applies, for example, to situations where the axis of rotation is forced by external constraints. It says that if a body, at the moment of inertia with respect to this axis equal to I, is acting external forces which exert a force on the body of the force M, then the body will rotate with an angular acceleration such that: > M = I ⋅ ε {\displaystyle M=I\cdot \varepsilon \,}

Moment force M and angular acceleration ε are axial vectors (pseudo vectors) and their direction and return are the same.

The limit of the second dynamic principle for rotational motion is the situation where the resulting moment of the forces acting on the body equals 0 (the first dynamic principle for rotational motion). From the formula, the angular acceleration will also be equal to 0 and the solid will rotate at constant angular velocity, in particular, it may remain at rest.

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