Home Physics Center of Mass Conservation of Linear Momentum A train of mass M = π kg is moving on a circ…
Physics Center of Mass Conservation of Linear Momentum MCQ (Single Correct)

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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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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