How to calculate the moment of inertia of a system with multiple bodies?

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SUMMARY

The discussion focuses on calculating the moment of inertia of a system with multiple bodies about the OO' axis. The relevant formula used is I = Icm + m.h², which allows for the transition from the center of mass to a parallel axis. Participants confirm that the correct approach involves calculating the moment of inertia for each of the five bodies individually and then summing these values to obtain the total moment of inertia for the system. Providing detailed calculations for each body is essential for verification of the final result.

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CollinsArg
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Homework Statement


Calculate the moment of inertia in the OO' axis of the following figure (image attached).

Homework Equations


The relevant equations are in the image,
except: I = Icm + m.h2 (formula of moment of inertia to change the axis from the centre of mass to a parallel axis).

The Attempt at a Solution


I tried to find the moment of inertia of each figure separately/individually depending of the OO' axis by the formula give in "relevant equations" then sum all up to find the total moment of inertial of the system. Is this right? I'm not sure how to evidence this is correct
 

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You need to show more work before one can tell whether your answer is correct. Your method is correct. You have 5 bodies, you need to calculate the moment of inertia about axis OO' for each one separately then add all the results. If you want someone to check your work, please provide the 5 separate moments of inertia, not just the final answer.
 
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