Kelvi

The moment of inertia of a thin rod about an axis passing through its mid-point and perpendicular to the rod is $2400$ g cm $^2.$ The length of the 400 g rod is nearly:

medium

System of Particles and Rotational Motion

2024

physics

20.7 cm

72.0 cm

8.5 cm

17.5 cm

Explanation

To solve this problem, we need to use the formula for the moment of inertia of a thin rod about an axis passing through its mid-point and perpendicular to the rod. $\\ \\$ The formula for the moment of inertia $I$ of a rod of mass $m$ and length $L$ is: $\\ I = \frac{1}{12} m L^2 \\ \\$

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The moment of inertia of a thin rod about an axis passing through its mid-point and perpendicular to the rod is 2400 2400 2400 g cm2.^2. 2. The length of the 400 g rod is nearly:

Explanation

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The moment of inertia of a thin rod about an axis passing through its mid-point and perpendicular to the rod is $2400$ g cm $^2.$ The length of the 400 g rod is nearly: