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Four point masses 1 kg, 1 kg, 2 kg and 2...

Four point masses 1 kg, 1 kg, 2 kg and 2 kg are placed at the corners of a square of side a m as shown in Fig. Find the centre of mass of the system.

Text Solution

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The correct Answer is:
`(a//2 m, a//3 m)`
Origin at 2 kg, `x = m_(1)x_(1) + m_(2)x_(2) + m_(3)x_(3) + m_(4)x_(4)//m_(1) + m_(2) + m_(3) + m_(4),x = 0 + 0 + 2a + a//6 = 3a//6 = a//2, y =1 xx a + 0 + 0 xx 1 xx a//6 = a//3`
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