The position vector of two particles of mass 4.0 kg and 2.0 kg are, respectively,
r i j kˆ 2
ˆ ˆ 3
2
1 = t + t + t
r
and r i ( )j kˆ 4
ˆ 1
ˆ 3
2
2 = + t − + t
r
where t is in seconds and the position
in metres. Determine the position vector of the centre of mass of the system, the
velocity of the cm and the net force acting on the system.
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