A thin rod of length \(4l\) and mass \(M\) is bent at the points as shown in the figure. What is the moment of inertia of the rod about an axis passing through point \(O\) and perpendicular to the plane of the paper?
A thin rod of length \(4l\) and mass \(M\) is bent at the points as shown in the figure. What is the moment of inertia of the rod about an axis passing through point \(O\) and perpendicular to the plane of the paper?
Show Hint
- \(\dfrac{Ml^2}{3}\)
- \(\dfrac{10Ml^2}{3}\)
- \(\dfrac{Ml^2}{12}\)
- \(\dfrac{Ml^2}{24}\)
The Correct Option is B
Solution and Explanation
Top Questions on Rotational motion
- Two iron solid discs of negligible thickness have radii $R_1$ and $R_2$ and moment of inertia $I_1$ and $I_2$, respectively. For $R_2 = 2R_1$, the ratio of $I_1$ and $I_2$ would be $1/x$, where $x =$ _____.
- JEE Main - 2026
- Physics
- Rotational motion
Two point charges 2q and q are placed at vertex A and centre of face CDEF of the cube as shown in figure. The electric flux passing through the cube is :
- JEE Main - 2026
- Physics
- Rotational motion
Two circular discs of radius \(10\) cm each are joined at their centres by a rod, as shown in the figure. The length of the rod is \(30\) cm and its mass is \(600\) g. The mass of each disc is also \(600\) g. If the applied torque between the two discs is \(43\times10^{-7}\) dyne·cm, then the angular acceleration of the system about the given axis \(AB\) is ________ rad s\(^{-2}\).
- JEE Main - 2026
- Physics
- Rotational motion
- A solid sphere of radius \(10\) cm is rotating about an axis which is at a distance \(15\) cm from its centre. The radius of gyration about this axis is \( \sqrt{n} \) cm. Find the value of \( n \).
- JEE Main - 2026
- Physics
- Rotational motion
- Want to practice more? Try solving extra ecology questions todayView All Questions