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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Radius of gyration
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anpm_dev (111)

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Plz clear my concept of 'Radius of Gyration' what is it, where and how it is to be used. I'm in lot of confusion.

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junglejalebi (175)

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see formula is k=root mein I upon m

i moment of inertia
m-mass
k=radius of gyratuin
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junglejalebi (175)

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is the distance whose square when multiplied with mass gives moment of inertia about the axis
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computer001 (1847)

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for ne body. durin discussion of rot motion v talk of radius of gyration
it is defined as K
where I =mK^2 for all bodies
we calculate I abt some axis using R etc
which comes out to be sumtin lik x*MR^2,where let x be some numeric value
then we say MK^2=xMR^2
n calculate K

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computer001 (1847)

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in physical terms:
when u r considerin inertia abt a particula axix..it K is tht effective dist from the axis @ which a pt lies such tht the total mass mass of the body can assumed to be concenrated..
wat i mean is suppose u have a irregular body wid random mass distribution,if u can identify a pt A such tht the total mass can be assumed to be the conc @ A ,then the dist of tht pt from the axis is K
the situation then amountss to a v.small body of mass M situated at a dist K from the axis so I of tht body will b MK^2

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rtiit (431)

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dude
radius of gyration in simple words can be defined as distance between the axis of rotation of body and the point at which the entire mass of the body can be supposed to be concentrated so as to give the same moment of inertia as that of the whole body

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