A disc is rotating with angular velocity $\vec{\omega}$. A force $\vec{F}$ acts at a point whose position vector with respect to the axis of rotation is $\vec{r}$. The power associated with torque due to the force is given by ..........
$(\vec{r} \times \vec{F}) \cdot \vec{\omega}$
$(\vec{r} \times \vec{F}) \times \vec{\omega}$
$\vec{r} \times(\vec{F}, \vec{\omega})$
$\vec{r} \cdot(\vec{F} \times \vec{\omega})$
If the rotational kinetic energy of a body is increased by $300\ \%$ then the percentage increase in its angular momentum will be .......... $\%$
A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass $K$. If radius of the ball be $R$, then the fraction of total energy associated with its rotational energy will be
A uniform cylinder of radius $R$ is spinned with angular velocity $\omega$ about its axis and then placed into a corner. The coefficient of friction between the cylinder and planes is $μ$. The number of turns taken by the cylinder before stopping is given by
A fly wheel of moment of inertia $I$ is rotating at $n$ revolutions per $sec$. The work needed to double the frequency would be
Explain the construction and working of an ideal lever and also explain the principle of momen of force.