Drive an rxpression for radius of guration
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Radius of gyration:It is the root mean square of the distances from the axis of rotation.
Letr1=Distance of the particle of mass m1 from axis of rotationr2=Distance of the particle of mass m2 from axis of rotation....
rn=Distance of the particle of mass mn from axis of rotation
Hence,k=r12+r22+r32+... +rn2n‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
It is also expressed as,k=IM‾‾‾√
whereI=Moment of inertia of the system
M=Total mass of the system
Hope this information will clear your doubts about Radius of gyration.
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