With reference to the figure of a cube of edge a and mass m, the following statements are given. (O is the centre of the cube).

(a) The moment of inertia of the cube about the z-axis is ${\mathrm{I}}_{\mathrm{z}}={\mathrm{I}}_{\mathrm{x}}+{\mathrm{I}}_{\mathrm{y}}$
(b) The moment of inertia of cube about z'-axis is ${\mathrm{I}}_{\mathrm{z}}\text{'}={\mathrm{I}}_{\mathrm{z}}+\frac{{\mathrm{ma}}^{2}}{2}$
(c) The moment of inertia of cube about z"-axis is $={\mathrm{I}}_{\mathrm{z}}+\frac{{\mathrm{ma}}^{2}}{2}$
(d)

Choose the correct statements:

1. (a, c)
2. (a, d)
3. (b, d)
4. (b, c)

Subtopic: Â Moment of Inertia |
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Given below are two statements:
 Assertion (A): If the same mass is drawn into the making of a solid sphere and a hollow sphere, the moment of inertia about the diameter of a hollow body is greater than that of a solid body. Reason (R): The moment of inertia depends on the mass distribution from the axis of rotation and in a hollow sphere, more of the mass is further away from the axis of rotation.

 1 Both (A) and (R) are True and (R) is the correct explanation of (A). 2 Both (A) and (R) are True but (R) is not the correct explanation of (A). 3 (A) is True but (R) is False. 4 Both (A) and (R) are False.
Subtopic: Â Moment of Inertia |
Â 86%
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Given below are two statements:
 Assertion (A): When a body rotates in a circle around any axis, all its particles move along a circle in different radii but with the same angular velocity. Reason (R): The moment of inertia is a vector quantity.

 1 Both (A) and (R) are True and (R) is the correct explanation of (A). 2 Both (A) and (R) are True but (R) is not the correct explanation of (A). 3 (A) is True but (R) is False. 4 Both (A) and (R) are False.
Subtopic: Â Moment of Inertia |
Â 64%
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