Question

A body having its centre of mass at the origin has three of its particles at (a,0,0), (0,a,0), (0,0,a). The moments of inertia of the body about the X and Y axes are 0⋅20 kg-m2 each. The moment of inertia about the Z-axis
(a) is 0⋅20 kg-m2
(b) is 0⋅40 kg-m2
(c) is 0·20√2 kg-m2
(d) cannot be deduced with this information.

Answer 1

Answer:

c) is 0·20√2 kg-m2 i think option c is the right answer

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Answer 2

A body having its centre of mass at the origin has three of its particles at (a,0,0), (0,a,0), (0,0,a). The moments of inertia of the body about the X and Y axes are 0⋅20 kg-m2 each. The moment of inertia about the Z-axis cannot be deduced with this information.

Explanation:  

$I_{x}=m_{2} a^{2}+m_{3} a^{2}=0.20 \ldots e q^{n}(i)$

$I_{y}=m_{1} a^{2}+m_{3} a^{2}=0.20 \ldots e q^{n}(i i)$

$I_{z}=m_{1} a^{2}+m_{2} a^{2} \quad \ldots \cdot e q^{n}(i i i)$

Where  

m is a mass

a is the acceleration.

We have four variables and three equations. So, the information given cannot deduce Iz.