Three objects are located at the following positions in atwo-dimensional (x, y)

Question

Three objects are located at the following positions in atwo-dimensional (x, y) coordinate system: m1 at (2.3 m, 4.4 m), m2at (12.2 m, 89.4 m), and m3 at    (74.1 m, -0.8m).
If the masses are 1 kg, 1.5 kg, and 2.1 kg, respectively, what is the position of the center of mass of thissystem? please give step by step instruction with solutioncalculated Three objects are located at the following positions in atwo-dimensional (x, y) coordinate system: m1 at (2.3 m, 4.4 m), m2at (12.2 m, 89.4 m), and m3 at    (74.1 m, -0.8m).
If the masses are 1 kg, 1.5 kg, and 2.1 kg, respectively, what is the position of the center of mass of thissystem? please give step by step instruction with solutioncalculated

Explanation / Answer

given m = 1 kg          m ' = 1.5kg         m " = 2.1 kg and coordinates x = 2.3 m                          y = 4.4 m                          x ' = 12.2 m                          y ' = 89.4 m                          x" = 74.1 m                          y" = -0.8 m So, position of center of mass of the is system = ( X , Y , Z) where X = ( m x + m ' x ' + m " x" ) / ( m + m ' + m ")            Y= ( m y + m ' y ' + m " y" ) / ( m + m ' + m " ) substitue values wegetanswer           

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