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

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 the same dimensions but of mass M//4 is placed gently on the first disc co-axially. show that angular velocity o fthe system is 4 omega//5 .

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 the same dimensions but of mass M/4 is placed gently on the first disc coaxially. The angular velocity of the system now is 2 omega //sqrt5.

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 the same dimension but of mass M/4 is placed gently on the first disc coaxially. Show that the angular momentum of the system is (4)/(5)omega .

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 the plane with angular velocity omega . Another disc of same mass but half the radius is gently placed over it coaxially. The angular speed ofthe composite disc will be:

A ring of mass m and radius r rotates about an axis passing through its centre and perpendicular to its plane with angular velocity omega . Its kinetic energy is

A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its center and perpendicular to its plane with an angular velocity omega . Now two particles each of mass m are placed on its perimeter along a diameter along a diameter. Find the new angular velocity. If m=M//2 , find the percentage change in the angular velocity.