If the centre of mass of three particles of masses 10,20 and 30g is at the point(1,-2,3)then where should a fourth particle of mass 40g be placed,so that the combined centre of mass of the system is (1,1,1)
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I didn't understand the co-ordinates,is it 1,0 -2,0 & 3,0?
There are three Co-ordinates....For the 1 St one..CM is @ (1,-2,3)
i didnt get it what to do
First Find the co-ordinates of m1 m2 and m3
(1,-2,3 ) x , y , z
x axis of Cm = m1x1 + m2x2 + m3x3 / (m1+m2+m3)
y axis of Cm = m1y1 + m2y2 + m3y3 / (m1+m2+m3) etc...
u got it..)
thanks :D then?
wait .. i know.. on call with gf :P.. 2 mins
ok.. so let xcm be the centre of mass of the three particle system then
\[Mxcm = m1x1+ m2x2 + m3x3 \]
now .. when the fourth particle is added.. the centre of mass shifts
\[M'xcm' = m1x1+ m2x2 + m3x3+ m4x4\]
\[M'xcm' = Mxcm + m4x4\]
the only thing you have to find now is x4.. so calculate.. do the same in other 2 axes