U1410.0 points The figure below shows a rigid 3-mass system which can rotate abo

Question

U1410.0 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 r-axis is along the horizontal direction with the origin at the left-most mass 5 kg. 5 kg 3 kg 6 kg The masses are separated by rods of length 4 m, so that the entire length is 2 (4 m). Determine the -coordinate of the center of mass for the three-mass system with respect to the origin. Answer in units of m.

Explanation / Answer

here,

m1 = 5 kg

m2 = 3 kg

m3 = 6 kg

the x-coordinate of the center of mass , x = ( m1 * 0 + m2 *4 + m3 * 8) /(m1 + m2 + m3)

x = ( 0 + 3 * 4 + 6 * ( 8)) /( 5 + 3 + 6) m

x = 3.57 m

the x-coordinate of the center of mass is 3.57 m

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