A light rigid rod AB of length 3 ℓ has a point mass m at end A and a point mass 2 m at end B is kept on a smooth horizontal surface. Point C is the center of mass of the system. Initially the system i

Question

A light rigid rod AB of length 3 ℓ has a point mass m at end A and a point mass 2 m at end B is kept on a smooth horizontal surface. Point C is the center of mass of the system. Initially the system is at rest. The mass 2 m is suddenly given a velocity v 0 ​ towards right. Take Z axis to be perpendicular to the plane of the paper.

TestHub · Accepted Answer

For (B) : 2 mv 0 ​ ℓ = 6 m ℓ 2 ω ∴ ω = 3 ℓ v 0 ​ ​ ​ T = 2 m ω 2 ℓ = 9 ℓ 2 mv 0 2 ​ ​ ​ For ( C ) : I A ​ = 2 m ( 3 ℓ ) 2 ; I B ​ = m ( 3 ℓ ) 2 ​

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