Four point masses lie along a line: at

PHYSICS · Subjective · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

Four point masses lie along a line: 1.0 kg1.0\,\text{kg} at x=−0.30 mx=-0.30\,\text{m}, 2.0 kg2.0\,\text{kg} at x=0.20 mx=0.20\,\text{m}, 3.0 kg3.0\,\text{kg} at x=0.60 mx=0.60\,\text{m}, and an unknown mass mm at x=1.20 mx=1.20\,\text{m}. The center of mass of all four masses is measured to be at x=0.45 mx=0.45\,\text{m}. The mass at x=1.20 mx=1.20\,\text{m} is then removed. Determine the value of mm.

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