Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

The masses are separated by rods of length 3 m, so that the entire length is 2 (

ID: 1967446 • Letter: T

Question

The masses are separated by rods of length
3 m, so that the entire length is 2 (3 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

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 x-axis is along the horizontal direction with the origin at the left-most mass 3 kg. The masses are separated by rods of length 3 m, so that the entire length is 2 (3 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

we have, xcm = [3(0) + 7(3) + 7(6)]/(3+7+7) = 3.706 meter