System of Parti...

A small part of the rim of a fly wheel breaks off while it is rotating at a constant angular speed. Then its radius of gyration will

Three identical thin rods, each of mass m and length l are joined to form an equilateral triangle. Find the moment of inertia of the triangle about one of its sides.

A body of mass 1.5 kg rotating about an axis with angular velocity of 0.3 rad $$s^{-1}$$ has the angular momentum of 1.8 kg $$m^2s^{-1}$$. The radius of gyration of the body about an axis is :

Two objects $$P$$ and $$Q$$ initially at rest move towards each other under mutual force of attraction. At the instant when the velocity of $$P$$ is $$v$$ and that of $$Q$$ is $$2v$$, the velocity of centre of mass of the system is

If a body of moment of inertia $$2$$kg $$m^2$$ revolves about its axis making $$2$$ rotations per school, then its angular momentum(in Js) is:

The radius of gyration of a solid cylinder of mass $$M$$ and radius $$R$$ about its own axis is

A thin rod of length L is suspended from one end and rotated with n rotations per second. The rotational kinetic energy of the rod will be :

The radius of gyration of a solid sphere of radius $$R$$ about a certain axis is $$R$$. The distance of this axis from the centre of the sphere is

A rod of mass $$m$$ and length $$L$$, lying horizontally, is free to rotate about a vertical axis through its centre. A horizontal force of constant magnitude $$F$$ acts on the rod at a distance of $$L/4$$ from the centre. The force is always perpendicular to the rod. Find the angle rotated by the rod during the time $$t$$ after the motion starts.

Two particles $$A$$ and $$B$$ initially at rest, move towards each other under a mutual force of attraction. At the instant when the speed of $$A$$ is $$v$$ and the speed of $$B$$ is $$2v,$$ the speed of center of mass of the system is