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karnten07
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Homework Statement
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
Homework Equations
Moment of inertia = Sum m x R^2
volume of sphere = 4/3 pi r^3
The Attempt at a Solution
I think i have to integrate the moment of inertia euation for this spherical shell, but I am not sure I am 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
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