Question

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 ?​

Answer 1

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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