The figure below shows a rigid 3-mass system which can rotate about an axis perp

Question

The figure below shows a rigid 3-mass system which can rotate about an axis perpendicular to the system. The mass of each connecting rod is negligible. Treat the masses as particles. The x-axis is along the horizontal direction with the origin at the left-most mass 3 kg. 3 kg 7 kg 3 kg 4 m 4 m x The masses are separated by rods of length 4 m, so that the entire length is 2 (4 m). Determine the x-coordinate of the center of mass for the three-mass system with respect to the origin. Answer in units of m

Explanation / Answer

Solution,

Calculating moment along the axis,

(3 kg x 4 m) + (7 kg x 8 m) + (3 kg x 0 m) = (3 + 7 + 3) * X

68 = 13 * X

X = 5.23 m

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