A uniform disc of mass `m` and radius `R` rotates about a fixed vertical axis passing through its centre with angular velocity `omega`. A particle of same mass `m` and having velocity of `2omegaR` towards centre of the disc collides with the disc moving horizontally and sticks to its rim. Then

A uniform disc of mass m and radius R rotates about a fixed vertical axis passing through its centre with angular velocity omega . A particle of same angular velocity mass m and moving horizontally with velocity 2omegaR towards centre of the disc collides and sticks to its rim. The impulse on the particle due to the disc is

A uniform disc of mass m and radius R rotates about a fixed vertical axis passing through its centre with angular velocity omega . A particle of same angular velocity mass m and moving horizontally with velocity 2omegaR towards centre of the disc collides and sticks to its rim. The angular velocity of the disc after the particle sticks to it is

A uniform disc of mass M and radius R is rotating about a horizontal axis passing through its centre with angular velocity omega . A piece of mass m breaks from the disc and flies off vertically upwards. The angular speed of the disc will be

A uniform disc of mass m and radius R I rotated about an axis passing through its centre and perpendicular to its plane with an angular velocity omega_() . It is placed on a rough horizontal plane with the axis of the disc keeping vertical. Coefficnet of friction between te disc and the surface is mu , find (a). The time when disc stops rotating (b). The angle rotated by the disc before stopping.

A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with an angular velocity omega . Another disc of same dimensions but of mass (1)/(4) M is placed gently on the first disc co-axially. The angular velocity of the system is