If the given graph shows the load (W) attached to and the elongation ($\Delta l$) produced in a wire of length 1 meter and cross-sectional area 1 mm$^2$, then the Young's modulus of the material of the wire is
A solid cylinder of mass 2 kg and radius 0.2 m is rotating about its own axis without friction with angular velocity 5 rad/s. A particle of mass 1 kg moving with a velocity of 5 m/s strikes the cylinder and sticks to it as shown in figure.
The angular velocity of the system after the particle sticks to it will be: