How Do You Calculate the Total Moment of Inertia for a Complex Wheel Assembly?

AI Thread Summary
To calculate the total moment of inertia for the complex wheel assembly, first determine the moment of inertia for each component: the hub, the spokes, and the rim. The hub is treated as an empty sphere, while the spokes are rotating about an axis at one end, which affects their inertia calculation. After calculating the individual moments of inertia, sum them to find the total moment of inertia about the specified axis. Additional resources are provided for further examples and explanations. Understanding the contributions of each part is crucial for accurate calculations.
physixnot4me
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Hi, I'm stuck on what I need to calculate the moment of inertia... in this type of question:

the wheel shown on a diagram has a central hub of radius 2m and a mass of 4kg, outside rim of radius 6m and a mass 1kg. each of the four spokes is 4m long and has a mass of 2 kg. find the moment of inertia about an axis through the centre perpedicular to the plane of the wheel. treat the hub as an empty sphere.

SO FAR, I've found the moment of inertial of the hub each spoke...
what is my next step?

Diagram is attached.

Thanks =)
 

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