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As per your syllabus, when the origin of coordinates is chosen at the centre of mass, what does Σ m_i r_i equal?

AM times CM position
BHalf of total mass
CTotal moment of inertia
DZero
Answer & Solution
Correct answer: D. Zero
Your syllabus / eqn 6.4d: by definition of CM, Σ m_i (r_i − R) = 0 ⇒ Σ m_i r_i = 0 if origin at CM.
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