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Rotation of a solid body about CM? 
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#1
Jan2711, 12:16 PM

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We know when a body is given a impulsive force in total vaccum, it rotates along with translation about the centre of mass. Now the question is why does it rotate only about the CM and not any other axis. We al know this seems obvious due to insinct but how can the theory explain it. Does any other effects like air drag effect this?
PS consider the cases when the body does not rotate about its CM and put emphasis on geometric centre.. why does the not rotate naturally about geometric centre.. 


#2
Jan2711, 12:28 PM

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hi gursimran! welcome to pf!
it's good ol' Newton's first law … (ok, strictly that's only for point masses, but we can extend it to rigid bodies using Newton's third law to cancel out all the internal forces! ) if the only force is impulsive, that means that after the impulse time, there are no forces acting on it if there are no forces acting on it, then its centre of mass must move with constant speed in a straight line if it was rotating about some other point in the body, that would have to be moving in a straight line … they can't both be moving in a straight line unless there's no rotation 


#3
Jan2711, 10:17 PM

P: 36

1.Does it means that a body can rotate about a point other than CM in air (due to drag) 2.Ok then how do you relate this to that a body has minimum centre of interia about the CM.. 3. Another thing that comes is that its not possible for a body to rotate about a point other that CM if only internal forces act inside the body.. 


#4
Jan2811, 04:17 AM

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Rotation of a solid body about CM?
hi gursimran!
(just got up …) sorry, not following you 


#5
Jan2811, 06:20 AM

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#6
Jan2811, 06:31 AM

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the moment of inertia is in an equation relating torque to angular velocity but the angular velocity is the same about any point "effort" has nothing to do with it 


#7
Jan2811, 10:57 AM

P: 36

ok then thankyou very much ... i think i got most of the stuff :)



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