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Three point masses of 1 kg, 2kg and 3 kg...

Three point masses of `1 kg, 2kg and 3 kg` lie at `(1,2), (0,-1) and (2, -3)` respectively. Calculate the co-ordinates of the centre of mass of the system.

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To find the coordinates of the center of mass of the system consisting of three point masses, we can follow these steps: ### Step 1: Identify the masses and their coordinates We have three point masses: - Mass \( m_1 = 1 \, \text{kg} \) at coordinates \( (x_1, y_1) = (1, 2) \) - Mass \( m_2 = 2 \, \text{kg} \) at coordinates \( (x_2, y_2) = (0, -1) \) - Mass \( m_3 = 3 \, \text{kg} \) at coordinates \( (x_3, y_3) = (2, -3) \) ...
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