Practice question
Question
A system of two particles, 3kg at (1,2) and 1kg at (5,6), moves as a rigid body. What is the distance of the center of mass from the origin?
Explanation
X = (3×1)+(1×5)3+1 = 3+54 = 2. Y = (3×2)+(1×6)3+1 = 6+64 = 3. Distance = X2+Y2 = 22+32 = 4+9 = 13≈3.6m. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 3.6 m. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
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