(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that the moment of inertia of a uniform thin spherical shell of mass m and radius a about a diameter is 2/3 ma^2

2. Relevant equations

Moment of inertia = Sum m x R^2

volume of sphere = 4/3 pi r^3

3. The attempt at a solution

I think i have to integrate the moment of inertia euation for this spherical shell, but im not sure im understanding my notes here.

The inertia is equal along all axes, so by adding the inertia along each axis gives me the total inertia?

i have some rough sketchy notes i took in a class, so i will write them here to see if anyone can decipher it.

x^2 + y^2 + z^2 = a^2 where a is the radius of the sphere

Any ideas would be much appreciated, thankyou

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Moment of inertia of spherical shell problem

**Physics Forums | Science Articles, Homework Help, Discussion**