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Masses 1 kg, 1.5 kg, 2 kg, and “M” kg are situated at (2,1,1), (1,2,1), (2,-2,1) and (-1,4,3). What is the value of “M” if their centre of mass is at (1,1,3/2)? |
2 kg 1 kg 1.5 kg 2.5 kg |
1.5 kg |
Sum of masses = 1 + 1.5 + 2 + M = 4.5 + M x-coordinate : (1 x 2 + 1.5 x 1 + 2 x 2 – M)/(4.5 + M) = 1 4.5 + M = 7.5 – M 2M = 3 M = 1.5 kg |
