A train of mass M = π kg is moving on a circular track of radius ' R ' with constant speed V = 2m/s. The length of the train is half of the perimeter of the track. The linear momentum of the trian will be
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(4)
If we treat the train as a half ring of mass 'M' then its COM will be at a distance
from the centre of the circle. Velocity of centre of mass is :
V CM = R CM . ω
=
. ω =
( ω =
)
⇒ V CM =
⇒ MV CM = 
As the linear momentum of any system = MV CM
∴ The linear momentum of the train = 
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