Please find the answer using [ijk] notation and matrices. At the very least find the inertia about C. Please use parallel axis theorem. 1. Calculate the moments of inertia of the system consisting of a slender, ho- mogeneous straight rod of length I and mass m with a thin disk of radius r and mass m about a) A and b) C, respectively. Use xyz - frame as the system - xed frame. Thin disk is rigidly attached to the rod perpendicularly and C is the center of the disk. Assume the constant density for the rod and disk system. In the gure, the rod is on the zy - plane and has an angle \theta relative to the y-axis Z Rod A 日 Thin disk +- y Figure 1: Rod with disk attached
Please find the answer using [ijk] notation and matrices. At the very least find the inertia about C. Please use parallel axis theorem. 1. Calculate the moments of inertia of the system consisting of a slender, ho- mogeneous straight rod of length I and mass m with a thin disk of radius r and mass m about a) A and b) C, respectively. Use xyz - frame as the system - xed frame. Thin disk is rigidly attached to the rod perpendicularly and C is the center of the disk. Assume the constant density for the rod and disk system. In the gure, the rod is on the zy - plane and has an angle \theta relative to the y-axis Z Rod A 日 Thin disk +- y Figure 1: Rod with disk attached
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