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Question

Initially three bodies of mass 2m,2m and 3m are placed on the x-axis at position x=1,x=2 and x=4. If a body of mass 4m is placed at origin, then find the displacement of centre of mass from initial position.


A
7277
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B
7277
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C
1011
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D
1011
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Solution

The correct option is C 7277
COM of system intially, X(com)=x1m1+x2m2+x3m3m1+m2+m3
X(com)=1×2m+2×2m+4×3m2m+2m+3m
=18m7m=187
COM when 4th body is placed at origin,
X(com)1=x1m+x2m2+x3m3+x4m42m1+m1+m3+m4
X(com)1=1×2m+2×2m+4×3m+0×4m2m+2m+3m+4m
=18m/11m=1811
Therefore, displacement of COM =X(com)1Xcom
=1811187
=7277

Physics

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