Physics · 2021
JEE Main · 18 March 2021, Shift 2 · Q6
Consider a uniform wire of mass M and length L. It is bent into a semicircle. Its moment of inertia about a line perpendicular to the plane of the…
Consider a uniform wire of mass M and length L . It is bent into a semicircle. Its moment of inertia about a line perpendicular to the plane of the wire passing through the centre is :
Official answer
(1)
$\displaystyle \frac{\mathrm{ML}^2}{\pi^2}$
More from Rotational Motion
- The moment of inertia of a circular ring of mass M and diameter r about a tangential axis lying in the plane of the ring is:2025
- A string is wrapped around the rim of a wheel of moment of inertia 0.40 kgm^2 and radius 10 cm. The wheel is free to rotate about its axis. Initially…2024
- An object of mass 8 kg is hanging from one end of a uniform rod CD of mass 2 kg and length 1 m pivoted at its end C on a vertical wall as shown in…2023
- A solid sphere (A) of mass 5 m and a spherical shell (B) of mass m, both having same radius, are placed on a rough surface. When a force of same…2026
- A solid spherical ball is rolling on a frictionless horizontal plane surface about its axis of symmetry. The ratio of rotational kinetic energy of…2022
- A ring and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of both bodies are identical and the…2024
- Moment of inertia of a square plate of side l about the axis passing through one of the corner and perpendicular to the plane of square plate is…2021
- Moment of inertia about an axis A B for a rod of mass 40 kg and length 3 m is same as that of a solid sphere of mass of 10 kg and radius R about an…2026
JEE Main 2021 Physics question, with the answer from NTA’s final answer key. Where our answers come from.