Embibe Experts Solutions for Exercise 3: Assignment

A thin wire of length $l$ and mass $m$ is bent in the form of a semicircle as shown. Its moment of inertia about an axis joining its free ends will be

In case of pure rolling, what will be the velocity of point $A$ of the ring of radius $R ?$

A uniform rod of mass $m$ and length $l$ is suspended by two strings at its ends as shown. When one of the strings is cut, the rod starts falling with an initial angular acceleration

When a body is rolling without slipping on a rough horizontal surface, the work done by 'friction is

An object slides down a smooth incline and reaches the bottom with velocity $v$. If same mass is in the form of a ring and it rolls down an inclined plane of same height and angle of inclination, then its velocity at the bottom of inclined plane will be

Three rings each of mass $m$ and radius $r$ are so placed that they touch each other as shown in the figure. The moment of inertia of the system about the axis $O{O}^{\text{'}}$ is

In the figure shown below, a meter stick of mass $M$ is supported in a horizontal position by two light strings attached at points $A$ and $B$ of the rod. The initial angular acceleration of the stick if one of the strings is cut, is [Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$]

A particle of mass $1 \mathrm{kg}$ is moving along the line $y=x+3$ ($x$ and $y$ are in meter) with speed $3 \mathrm{m} {\mathrm{s}}^{-1}$. The magnitude of angular momentum of the particle about origin is