Answer :

The moment of inertia of an object with the radius of gyration and weight specified is 18.15 kg m².

Given that,

Radius of gyration k = 0.55 m

Weight = 600 N

We know that, weight = m* g

Let us consider, acceleration due to gravity = 10 m/s²

Substituting in the above formula, we have,

600 = m* 10

10 m = 600

Mass m = 60 kg

Radius of gyration is given by the formula, k = √(I/m)

where, I  is moment of inertia

m is the mass of the body

Making I as subject, we have,

I = k² * m = 0.55² * 60 = 18.15 kg m²

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