Question:medium
Two spheres are given with radius \( r = 10 \, \text{cm} \), and the distance between them is \( 20 \, \text{cm} \). The axis passes through the midpoint of the distance between the two spheres. What is the moment of inertia of the system?
Two spheres are given with radius \( r = 10 \, \text{cm} \), and the distance between them is \( 20 \, \text{cm} \). The axis passes through the midpoint of the distance between the two spheres. What is the moment of inertia of the system?
Show Hint
Use the Parallel Axis Theorem to compute the moment of inertia about axes other than the center or diameter. Always account for symmetry when dealing with multiple objects.
Updated On: Nov 26, 2025
Top Questions on Moment Of Inertia
A sphere of radius R is cut from a larger solid sphere of radius 2R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is :
- NEET (UG) - 2025
- Physics
- Moment Of Inertia
- What is the moment of inertia of a solid sphere of mass \( M \) and radius \( R \) about its diameter?
- MHT CET - 2025
- Physics
- Moment Of Inertia
- A solid cylinder and a hollow cylinder, each of mass \( M \) and radius \( R \), are rotating with the same angular velocity \( \omega \). What is the ratio of their rotational kinetic energies \( \left( \frac{K_{\text{hollow}}}{K_{\text{solid}}} \right) \)?
- MHT CET - 2025
- Physics
- Moment Of Inertia
- The radius of gyration of a solid sphere of mass \(5 \, \text{kg}\) about \(XY\) is \(5 \, \text{m}\) as shown in figure.
The radius of the sphere is \(\frac{5x}{\sqrt{7}} \, \text{m}\), then the value of \(x\) is:- NEET (UG) - 2024
- Physics
- Moment Of Inertia
- Want to practice more? Try solving extra ecology questions todayView All Questions