Please help! Need to find the center of mass of a Phosphine molecule. The setup

Question

Please help! Need to find the center of mass of a Phosphine molecule. The setup is thus: A=angstrom. Three hydrogen atoms, location (2,0,0), (0,2,0), and (0,0,2). the Phophate atom is located at the origin. Masses are: Hydrogen=1 au, and Phophate=31.

This problem involves changing the coordinate system a bit...which is throwing me off. I get odd values for the centers of mass, and an impossible looking equation once I try to solve the determinant of the inertial tensor matrix for my principle moments of inertia.

PLEASE HELP!

Explanation / Answer

Xcm=1*2/(3*1+31)=2/34=1/17 Ycm=1*2/(3*1+31)=2/34=1/17 Zcm=1*2/(3*1+31)=2/34=1/17

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