The positions of two identical carts at rest on a low-friction track are measured relative to two axes oriented in the same direction along the track. On axis \(\mathrm{A}\), cart 1 is at \(x_{\mathrm{A}}\) and cart 2 is at \(x_{\mathrm{A} 2}\). On axis B, cart 1 is at the origin and cart 2 is at \(x_{\mathrm{B} 2}\).

(a) Determine the position of the center of mass of the two-cart system relative to each axis.

(b) If instead of identical carts you have \(m_{1}=2 m_{2}\), what is the position of the center of mass on each axis?