# Three particle system - Center of Mass

Find the center of mass of a system of three particles of mass 2 kg, 3kg and 4 kg placed at the corners of an equilateral triangle of side 2 meters.

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#### Solution Preview

See the attached figure.

For convenience take the side AB to lie on the X-axis with A at the origin. Then the co-ordinates of C are, 2Cos(60); 2 Sin (60)

That is, 2 x ...

#### Solution Summary

The problem is solved giving all necessary mathematical steps. It will enable you to do similar problems yourself.

Find the x coordinate of the center of mass.

Please see the attached file for full problem description with diagram.

For the system of particles described above, find the x coordinate xcm of the center of mass. Assume that the particle of mass M is at the origin and the positive x axis is directed to the right.

Express your answer in terms of L.