Question

what is the difference between moment of inertia and mass inertia (if there is )

Answer 1

Hope this helps you.
when inertia can act as athe mass ,force and generate momentu, the why another word called mass moment of inertia. how is it different from inertia.because the momemtum has been generated because of mass and velocity hence generates force.this is how the inertia behaves. even though why we use the terms called 'moment of inertia" & 'mass momet of inertia'. what is the exact difference between them

Reference https://www.physicsforums.com/threads/what-tis-hte-difference-betweeen-mass-moment-of-inertia-and-inertia.102071/

Answer 2

2 bodies can have the same mass but a different geometry. in linear motion, that shouldn't matter. \( F = ma \) does not depend on the geometry.

ordinary "mass" inertia is a term that describes the "unwillingness" of a body to change its velocity , ie direction or speed in linear motion.

the moment of inertia is used when considering rotation of a body.

2 bodies of the same mass but different geometry will respond differently to an applied torque. the body that is more "spread out" will be more resistant to spinning because it has a greater moment of inertia.

if you take a body of mass m and divide it into minuscule sub-masses, each of mass \(\delta m\), the moment of inertia of that body is \(\Sigma \ (\delta m_i \times r_i^2)\) where \(r_i\) is the distance of the small mass \(\delta m_i \) from the axis of rotation.