As per your syllabus, when the origin of coordinates is chosen at the centre of mass, what does Σ m_i r_i equal?
- M times CM position
- Half of total mass
- Total moment of inertia
- Zero
Show answer and 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.