$A$ uniform rod of mass $m$ and length $l$ is suspended by means of two identical inextensible light strings as shown in the figure. The tension in one string immediately after the other string is cut is . . . . . . . ($g$ is the acceleration due to gravity)

Point masses $m_1$ and $m_2$ are placed at the opposite ends of a rigid rod of length $L$ and negligible mass. The rod is to be set rotating about an axis perpendicular to it. The position of point $P$ on this rod through which the axis should pass so that the work required to set the rod rotating with angular velocity $\omega_0$ is minimum,is given by

What is a rigid body? Explain the difference between a rigid body and a solid body.

Are the linear variables of all particles the same for the rotational motion of a rigid body?

$A$ straight rod of length $L$ is released on a frictionless horizontal floor in a vertical position. As it falls and slips,the distance of a point on the rod from the lower end,which follows a quarter circular locus,is

$A$ $3.0\ kg$ bobbin consists of a central cylinder of radius $5.0\ cm$ and two end plates each of radius $6.0\ cm$. It is placed on a slotted incline,where friction is sufficient to prevent sliding. $A$ block of mass $4.5\ kg$ is suspended from a cord wound around the bobbin and passing through the slot under the incline. If the bobbin is in static equilibrium,what is the angle of tilt $\theta$ of the incline?