Exercise (Previous Year Questions)

Four identical thin rods, each of mass $M$ and length $l$, form a square frame. The moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is,

If $\overrightarrow{F}$ be a force acting on a particle having the position vector $\overrightarrow{r}$ and $\overrightarrow{\tau }$ be the torque of this force about the origin. Then

If a solid cylinder of mass $3 \mathrm{kg}$ is rolling on a horizontal surface with velocity $4 \mathrm{m}/\mathrm{s}$. It collides with a horizontal spring of force constant $200 \mathrm{N}/\mathrm{m}$. The maximum compression produced in the spring will be

A solid cylinder of mass$50 kg$  and radius $0.5 m$ is free to rotate about a horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of $2 rev/s^2$ is 

An automobile moves on a road with a speed of $54km{h}^{\mathit{-}\mathit{1}}$ The moment of inertia about its axis of rotation is $3kg{m}^{\mathit{2}}$. If the vehicle is brought to rest in $15s$, the magnitude of average torque transmitted by its brakes to the wheel is

From a disc of radius $R$ and mass $M$, a circular hole of diameter $R$, whose rim passes through the centre of the disc is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis passing through the centre of the disc?

Two rotating bodies $\mathrm{A}$ and $\mathrm{B}$ of masses $m$ and $2 m$ with moments of inertia ${\mathrm{I}}_{\mathrm{A}}$ and ${\mathrm{I}}_{\mathrm{B}}\left({\mathrm{I}}_{\mathrm{B}}>{\mathrm{I}}_{\mathrm{A}}\right)$ have equal kinetic energy of rotation. If ${\mathrm{L}}_{\mathrm{A}}$ and ${\mathrm{L}}_{\mathrm{B}}$ be their angular momenta respectively, then

Two discs of same moment of inertia rotating about their regular axis passing through centre and perpendicular to the plane of disc with angular velocities ${\omega }_1$ and ${\omega }_2$. They are brought in to contact face to face coinciding the axis of rotation. The expression for the loss of energy during this process is:Enable GingerCannot connect to Ginger Check your internet connection
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