define radius of gyration of a body about some axis rotation. Derive an expression for it.
define radius of gyration of a body about some axis rotation. Derive an expression for it.
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Answer:
If whole mass of the body is supposed to be concentrated at a distance k from the axis of rotation then. I=Mk2=Σmr2 I = M k 2 = Σ m r 2 or , k=√IM=√Σmr2M k = I M = Σ m r 2 M This quantity k is called radius of gyration of the body about the axis of rotation.