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three point masses m,m, 2m,2m and 3m,3m are placed along a line with a spacing l,l between successive masses. how far is the centre of mass from mass m,m ? |
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Answer» Answer: CM
= m+2m+...+nm mL+2m×2L+...+nm×nL
= (1+2+...+n) L(1 2 +2 2 +...+n 2 )
=L ∑n ∑n 2
=L 2 n(n+1)
6 n(n+1)(2N+1)
= 3 (2n+1)L
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