Finding Moment of Inertia for a Uniform Thin Solid Door

[jmf322]

Can someone point me in the right direction on how to find the moment of inertia of a uniform thin solid door, height 2.2 m, width .870 m and mass 23 kg. Do I need to use calculus to solve this type of problem? thanks!

 

[photon_mass]

moment of inertia = Integrate[r^2 dm] where dm is given by a density * an appropriate differential. r is perpendicular distance from the mass element to the axis of rotation. the bounds of the integral and the dm are given by the geometry of the problem.

 

[Pyrrhus]

Use the moment of inertia of an uniform rectangular plate

$$I_{cm} = \frac{1}{12}M(width^2 + height^2)$$

 

[jmf322]

sweet thanks guy, i got it! laters