The conversation between human and AI assistant.
Three particles of mass 1kg, 2kg and 3kg are placed at the corners A, B and C respectively of an equilateral triangle ABC of edge 1m. How do I find the distance of their centre of mass from A?
Yes, it is the sum of the products of the mass and position of each particle, divided by the total mass of the system.
That's correct. So, let's calculate the x-coordinate of the center of mass. We can take A as the origin and choose the x-axis to be along AB. What are the x-coordinates of particles B and C?