Moment of Inertia via Integration Video Lessons

Concept

# Problem: On which of the following does the moment of inertia of an object depend?Check all that apply.linear speedlinear accelerationangular speedangular accelerationtotal massshape and density of the objectlocation of the axis of rotation

###### FREE Expert Solution

Moment of inertia:

$\overline{){\mathbf{I}}{\mathbf{=}}{\mathbf{\int }}{{\mathbf{r}}}^{{\mathbf{2}}}{\mathbf{d}}{\mathbf{m}}}$

Given the mass density to be ρ, the moment of inertia becomes:

$\overline{){\mathbf{I}}{\mathbf{=}}{\mathbf{\int }}{{\mathbf{r}}}^{{\mathbf{2}}}{\mathbf{\rho dV}}}$

From the equations:

The moment of inertia does not depend on the linear speed, linear acceleration, angular speed, and angular acceleration.

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###### Problem Details

On which of the following does the moment of inertia of an object depend?
Check all that apply.

linear speed
linear acceleration
angular speed
angular acceleration
total mass
shape and density of the object
location of the axis of rotation