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## Main Question or Discussion Point

Book: Classical mechanics (textbook) by Douglas Gregory (cambridge publications)

Law of mutual interaction states that when two particle (let it be P1 and P2) interacts, the particle (P1) induces an instantaneous acceleration (a21) on particle P2 and the particle P2 induces an instantaneous acceleration (a12) on particle (P1). If the (inertial)masses of the particles are same, then the magnitude of acceleration be the same, and the ratios of acceleration will be constant ( for this case it is 1)(consistency relation)

That is what Newton's third law says

My question is for different (inertial)masses the ratio will be constant ( but not unity) ( it does not satisfy consistency relation) Am i right? If yes

My question is consistency relation is important in classical mechanics?

Law of mutual interaction states that when two particle (let it be P1 and P2) interacts, the particle (P1) induces an instantaneous acceleration (a21) on particle P2 and the particle P2 induces an instantaneous acceleration (a12) on particle (P1). If the (inertial)masses of the particles are same, then the magnitude of acceleration be the same, and the ratios of acceleration will be constant ( for this case it is 1)(consistency relation)

That is what Newton's third law says

My question is for different (inertial)masses the ratio will be constant ( but not unity) ( it does not satisfy consistency relation) Am i right? If yes

My question is consistency relation is important in classical mechanics?