Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Moment of Inertia
Rotational Dynamics
Parallel Axis Theorem
Formulas
Moment of inertia of a disc about its own center: I_{disc} = (1/2)MR^2
Parallel axis theorem: I_{total} = I_{center} + Md^2
Moment of inertia of each disc about the center of the rod: I_{disc(center)} = (1/2)MR^2 + MR^2 = (3/2)MR^2
Total moment of inertia of the system: I_{total} = 2 * (3/2)MR^2 = 3MR^2
Theorems
Parallel Axis Theorem
Suitable Grade Level
Grades 11-12
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