Sarthaks Test
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With reference to Fig. 7.6 of a cube of edge a and mass m, state whether the following are true or false. (O is the centre of the cube.)

(a) The moment of inertia of cube about z-axis is Iz = Ix + Iy

(b) The moment of inertia of cube about z′ is I'z = Iz + (m a2)/2

(c) The moment of inertia of cube about z'' is = Iz + (m a2)/2

(d) Ix = Iy

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(a) False, perpendicular axis theorem is applicable only to a lamina.

(b) True

(c) False, z and z” are not parallel axes.

(d) True.

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