3. A thin (and uniform) ring with mass=m and radius=R (i.e., it has line density λ=m/(2πR)) is on the plane of ˆn₁, and ˆn₂. As shown in the figure below (suppose ˆn₃ passes through the center of the ring), the mass of a small section is dm=λ*R*dθ. *
【題組】3.1. (4%) The central moment of inertia I₃₃ is defined as ∫R² dm. (Integrate from θ=0 to θ=2π). Please calculate I₃₃.
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