Three point masses are arranged in the -plane: at

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

Problem

Three point masses are arranged in the xyxy-plane: 0.30 kg0.30\,\text{kg} at (0.20 m,0)(0.20\,\text{m},0), another 0.30 kg0.30\,\text{kg} at (−0.20 m,0)(-0.20\,\text{m},0), and 0.40 kg0.40\,\text{kg} at (0,0.30 m)(0,0.30\,\text{m}). Could any axis parallel to the zz-axis yield a rotational inertia of 0.040 kg m20.040\,\text{kg}\,\text{m}^2 for this system? Briefly justify your numerical conclusion.

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