A uniform rod of mass `M` and length `L` with two particles `m` and `m_(2)` attached to its ends, is pivoted at its centre. The system rotates in a vertical plane with angular velocity `omega`.

Consider a uniform rod of mass m and length 2l with two particles of mass m each at its ends. Let AB be a line perpendicular to the length of rod and passig through its centre. Find the moment of inertial of the system about AB.

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 uniform thin rod AB of mass M and length l attached to a string OA of length (l)/(2) is placed on a smooth horizontal plane and rotates with angular velocity omega around a vertical axis through O. A peg P is inserted in the plane in order that on striking it the bar will come exactly to rest

A uniform thin rod AB of mass M and length l attached to a string OA of length (l)/(2) is placed on a smooth horizontal plane and rotates with angular velocity omega around a vertical axis through O. A peg P is inserted in the plane in order that on stricking it the bar will come exactly to rest

A light rod of length l has two masses m_1 and m_2 attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is.