Embibe Experts Solutions for Chapter: Rotational Motion, Exercise 1: Exercise 1

A solid spherical ball rolls down without slipping on incline. What fraction of total energy is associated with rotation?

On reaching by pure rolling at the bottom of incline the fraction of $\mathrm{KE}$ in rotational motion is $\frac{2}{5}$. Then the objects is perhaps

A hollow sphere of mass $m$ and radius $R$ rolls on a horizontal surface without slipping such that velocity of its centre of mass is $v$. The total kinetic energy of the sphere is

The velocity of the centre of mass of a solid sphere of radius $R$ rotating with angular velocity $\omega$ about an axis passing through its centre of mass is

A solid spherical ball rolls on a table. Ratio of its rotational kinetic energy to total kinetic energy is

The angular momentum of a particle performing uniform circular motion is $L.$If the kinetic energy of partical is doubled and frequency is halved, then angular momentum becomes

Two rings of same radius and mass are placed such that their centres are at a common point and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the centre and perpendicular to the plane of one of the rings is, (Mass of the ring$=m$, radius$=r$.)

A thin rod of length $4l,$ mass $4m$ is bent at the points as shown in the figure. What is the moment of inertia of the rod about the axis passing point $O$ and perpendicular to the plane of the paper?