A train of mass M is moving on a circular track of radius ' R ' with constant speed V. The length of the train is half of the perimeter of the track. The linear momentum of the train will be
A
0
B
C
MVR
D
MV
Text Solution
Verified by ExpertsThe correct answer is:
B
If we treat the train as a 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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