Point masses `m_(1)` and `m_(2)` are placed at the ends of a rigid rod of length L and negligible mass. The rod is to be set rotating about an axis perpendicular to its length. Locate a point on the rod through which the axis of rotation should pass in order that the work required to set the rod rotating with angular velocity `omega_(0)` is minimum.

Point masses m_(1) and m_(2) are placed at the opposite ends of a rigid rod of length L , and negligible mass. The rod is to be set rotating about an axis perpendicualr to it. The position of point P on this rod through which the axis should pass so that the work required to set the rod rotating with angular velocity omega_(0) is minimum, is given by :

Two point masses of 0.3 kg and 0.7kg are fixed at the ends of a rod of length 1.4 m and of negligible mass. The rod is set rotating about an axis perpendicular to its length with a uniform angular speed. The point on the rod through which the axis should pass in order that the work required for rotation of the rod is minimum, is located at a distance of

Two point masses A of mass M and B of mass of 4M are fixed at the ends of a rod of length l and of negligible mass. The rod is set rotation about an axis perpendicular to its length with a uniform angular speed. The work required for rotating the rod will be minimum when the distance of axis of rotation from the mass A is at

A rod is rotating with angular velocity omega about axis AB. Find costheta .

Two point masses m and 4m are connected by a light rigid rod of length l at the opposite ends. Moment of inertia of the system about an axis perpendicular to the length and passing through the centre of mass is

Moment of inertia of a uniform rod of length L and mass M , about an axis passing through L//4 from one end and perpendicular to its length is

Find radius of gyration of a rod of length l and mass m about an axis perpendicular its length through one end.

Two point masses m_(1) and m_(2) are joined by a weightless rod of length r . Calculate the moment of inerrtia of the system about an axis passing through its centre of mass and perpendicular to the rod.

The moment of inertia of a straight thin rod of mass M and length l about an axis perpendicular to its length and passing through its one end, is