014 10.0 points The figure below shows a rigid 3-mass system which can rotate ab

Question

014 10.0 points 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 parti- cles. The z-axis is along the horizontal direction with the origin at the left-most mass 3 kg 3 kg 6 kg 3 kg 4 m The masses are separated by rods of length 4 m, so that the entire length is 2 (4 m). Determine the a-coordinate of the center of mass for the three-mass system with respect to the origin. Answer in units of m.

Explanation / Answer

We know that

Xcom = (m1x1 + m2x2 + m3x3)/(m1 + m2 + m3)

Xcom = (3 x 0 + 6 x 4 + 3 x 8)/(3 + 6 + 3) = 4 m

Hence, Xcom = 4 m

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