The direction of the angular velocity vector is along

$A$ massless string is wrapped around a disc of mass $M$ and radius $R$. Another end is tied to a mass $m$ which is initially at height $h$ from the ground level as shown in the figure. If the mass is released,then its velocity while touching the ground level will be:

The linear velocity of a rotating body is given by $\overrightarrow v = \overrightarrow \omega \times \overrightarrow r,$ where $\overrightarrow \omega$ is the angular velocity and $\overrightarrow r$ is the radius vector. If the angular velocity of a body is $\overrightarrow \omega = \hat i - 2\hat j + 2\hat k$ and the radius vector is $\overrightarrow r = 4\hat j - 3\hat k,$ then find the magnitude of linear velocity $|\overrightarrow v |$.

Two blocks of mass $1\ kg$ and $2\ kg$ are connected with each other by a spring of spring constant $60\ N/m$. If the velocity given to the block of mass $2\ kg$ at the natural length is $6\ m/s$,find the maximum velocity of the $1\ kg$ block in the subsequent motion (in $m/s$).

What is a rigid body?

The direction of the angular velocity vector is along which of the following?