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Moment of Inertia Physics System of Particles and Rotational Motion Physics Class 11th

A system consists of two identical spheres each of mass 1.5 kg and radius 50cm at the end of light rod. The distance between the centres of the two spheres is 5m. What will be the moment of inertia of the system about an axis perpendicular to the rod passing through its midpoint?

Option 1 -

1.905 * 10⁵ kgm²

Option 2 -

1.875 * 10⁵ kgm²

Option 3 -

18.75 kgm²

Option 4 -

19.05 kgm²

2 Views | Posted 2 months ago

Asked by Shiksha User

1 Answer

Answered by

Vishal Baghel | Contributor-Level 10

2 months ago

Correct Option - 4

Detailed Solution:

Using parallel axis theorem:

$l = 2 \times [l_{c m} + m d^{2}]$

$l = 2 \times [\frac{2}{5} (1.5) {(0.5)}^{2} + (1.5) {(2.5)}^{2}]$

l = 19.05 kgm²

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A system consists of two identical spheres each of mass 1.5 kg and radius 50cm at the end of light rod. The distance between the centres of the two spheres is 5m. What will be the moment of inertia of the system about an axis perpendicular to the rod passing through its midpoint?

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