Answer to Question #149515 in Mechanics | Relativity for Mikkos Joshua Garcia

Question

Three particles are situated in 3-D space. The position of each particle is represented by the following vectors:
• A 5-kg particle at r1 = 4i + 3j + 5k
• A 3-kg particle at r2 = –3i + 5j + 3k
• A 6-kg particle at r3 = 5i – 6k
a. How far is each particle from the center of mass.

Answer 1

Answer

Position vector of center of mass

$R_{com}=\frac{mr+m'r'+m''r''}{m+m'+m''}$

$=\frac{49i+30j-2k}{14}$