Chemistry Help with This for Finding Solutions

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The discussion focuses on finding solutions for calculating the moment of inertia for a collection of point particles. The user presents their equations for moment of inertia, IH and ID, and expresses uncertainty about their correctness. A reply confirms that the user's equations are accurate based on the definitions provided for the variables involved. The conversation then shifts to determining the next steps in the problem-solving process. Overall, the thread emphasizes the importance of clarity in defining variables and the need for further guidance in the calculations.
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Homework Statement
From the moment of inertia of C2H2 and C2D2, I have to calculate the C≡C and C-H (C-D) bond lengths. I am confused on how to form the 2 simultaneous equations.
Relevant Equations
rH=
rC=
I really need help with this.
 

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You need to at least show an attempt. What are the relevant equations?
 
Thank you for your reply. This is what I got so far but I am very unsure.
IH=(mCrC^2 + mHrH^2)x 2
ID=(mCrC^2+ mDrH^2)x 2
 

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What is the moment of inertia for a collection of point particles in general? Does this match what you have written?

Edit: my apologies. I see from the picture in OP how you have defined ##r_H## and ##r_C##. Your moment of inertia equations are correct. What is the next step?
 
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