Qstnid -Ii-16-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-m<sup>2</sup> Each. The Moment Of Inertia About The Z-axis - 10: Rotational Mechanics - Neet-xii-physics

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NEET-XII-Physics

10: Rotational Mechanics

with Solutions - page 4

Qstn# ii-16 Prvs-Qstn Next-Qstn

#16
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
0·202kg-m²
(d) cannot be deduced with this information.
digAnsr: d
Ans : (d) cannot be deduced with this information.
I_x = m₂a² + m₃a² = 0.20 ...(i)
I_y = m₁a² + m₃a² = 0.20 ...(ii)
I_z= m₁a²+ m₂a² ...(iii)
We have three equations and four variables. So, I_zcannot be deduced with the given information.
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