Question

If the temperature of a uniform rod is slightly increased by $\Delta t$, its moments of inertia I about a line parallel to itself will increased by

• A. zero
• B. $\alpha I\Delta t$
• C. $2\alpha I\Delta t$
• D. $3\alpha I\Delta t$

Answer 1

The correct option is A zero

Considering that only the length of the uniform rod increases. Thus, only the distribution of mass elongates along-axis.

$\Rightarrow$ No change in moment of inertia.