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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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
Transcribed Image Text: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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