MHB What is the concept of moment of inertia?

[harpazo]

In simple terms, what exactly is meant by moment of inertia as taught in Calculus 3?

 

[MarkFL]

Simply put, it is the torque needed for a desired angular acceleration about a rotational axis. :D

 

[harpazo]

Simply put, it is the torque needed for a desired angular acceleration about a rotational axis. :D

I will post one or two questions regarding this topic.

 

[MarkFL]

Here is a better explanation sent to me via PM (I simply copy-pasted from Wikipedia):

Moment of inertia, $I$, is not a torque, rather it is the resistance an object has to a change in its state of rotational motion, i.e.

$\alpha = \dfrac{\tau_{net}}{I}$

... mass is its counterpart in the translational world.

 

[harpazo]

Here is a better explanation sent to me via PM (I simply copy-pasted from Wikipedia):

Moment of inertia, $I$, is not a torque, rather it is the resistance an object has to a change in its state of rotational motion, i.e.

$\alpha = \dfrac{\tau_{net}}{I}$

... mass is its counterpart in the translational world.

I will post three questions tomorrow that involve p = another variable in relation to the Center of Mass and Moments of Inertia and Radius of Gyration.