Center of Mass of 3 Masses at Corners of Triangle w/ Side L

[smw1016]

Three equal masses lie at the corners of an equilateral triangle of side L as shown in the figure


Where is the center of mass?
Express your answer in the form x_e, y_e in terms of L, where x_e and y_e are separated by a comma.

x_e,y_e=

 

[Stovebolt]

Three equal masses lie at the corners of an equilateral triangle of side L as shown in the figure


Where is the center of mass?
Express your answer in the form x_e, y_e in terms of L, where x_e and y_e are separated by a comma.

x_e,y_e=

Without doing the work, can you describe where the center of mass would be? In other words, if this was a solid object and you were trying to balance it on a single point, where would you place the triangle with respect to the point?

Once you get an idea of where the point is, it is fairly easy to calculate using basic trigonometry functions.