Embibe Experts Solutions for Chapter: Systems of Particles and Rotational Motion, Exercise 1: Exercise

The moment of inertia of a thin rod of length $L$ and mass $M$ about an axis passing through a point at a distance $\frac{L}{3}$ from one of its ends and perpendicular to the rod is,

M.O.I of a ring of mass M and R about its diameter is 

A constant couple of $400 \mathrm{N} \mathrm{m}$ turns a wheel of moment of inertia $100 \mathrm{kg} {\mathrm{m}}^2$ about an axis through its centre. The angular velocity gained in $4 \mathrm{s}$ is

A rod of mass $M$ and length $L$ is placed in a horizontal plane with one end hinged about the vertical axis. A horizontal force $F=\frac{Mg}{2}$ is applied at a distance $\frac{5L}{6}$ from the hinged end. The angular acceleration of the rod will be

A particle performs uniform circular motion with an angular momentum $L$. If the frequency of particle motion is doubled and its kinetic energy is halved, the angular momentum becomes,

Two bodies have their moments of inertia $I$ and $2I$, respectively, about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio,

A disk of radius $R$ is rolling purely on a flat horizontal surface with a constant angular velocity. The angle between the velocity and the acceleration vectors of point $P$ is,

The centre of a wheel rolling on a plane surface moves with a speed $v_0$. A particle on the rim of the wheel at the same level as the centre will be moving at which of the following speeds?