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As per your syllabus, the centre of mass of a UNIFORM (homogeneous) symmetric body lies at which location?
AAt a random point
BOutside the body
CAlways at any vertex
DIts geometric centre
Answer & Solution
Correct answer: D. Its geometric centre
Your syllabus: by symmetry, for every dm at (x,y,z) there is one at (-x,-y,-z).
The integrals vanish ⇒ origin (geometric centre) is the CM.
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