Embibe Experts Solutions for Chapter: Rotational Motion, Exercise 1: Maharashtra Board-2018

A thin ring has a mass $0.25 kg$ and a radius $0.5 m$. Its moment of inertia about an axis passing through its centre and perpendicular to its plane is ____.

Define moment of inertia. State its SI unit and dimensions.

State and prove principle of conservation of angular momentum.

Define radius of gyration. Write its physical significance.

The radius of gyration of a body about an axis, at a distance of 0.4 m from its centre of mass is 0.5 m. Find its radius of gyration about a parallel axis passing through its centre of mass.

In rotational motion of a rigid body, all particles move with _______.

Energy of $1000 \mathrm{J}$ is spent to increase the angular speed of a wheel from $20 \mathrm{rad}/\mathrm{s}$ to $30 \mathrm{rad}/\mathrm{s}$. Calculate the moment of inertia of the wheel.

State and prove the principle of parallel axis in rotational motion.