Question

subject: Rational equilibrium of Torques

How does the moment of inertia relate to the probability distributions? How do torques add and what is necessary to establish rational equilibrium?

Answer 1

The concept of rotational equilibrium is an equivalent to Newton’s 1ˢᵗ law for a rotational system. An object which is not rotating remains not rotating unless acted on by an external torque. Similarly, an object rotating at constant angular velocity remains rotating unless acted on by an external torque.

The moment of inertia in physics, is used to express how mass is distributed around the central axis of rigid body. In the same way the probability distribution express the spread of the distribution about the mean.

Total T = T{1} + T{2} + ... + T{n}

In this equation, n is the total number of torques being applied to the object. There is also a special case of this called rotational equilibrium. This is where the addition of all the torques acting on an object equals zero. When this happens, this can mean that there is no torque acting on the object, or all the torques acting on the object are canceling each other out. In order to visualize torques canceling out.