A non-conducting rod AB of length l has total charge Q . The rod is rotated about an axis passing through a point (l/3)` distance from one end and perpendicular to plane of rod with constant angular speed omega, the magnetic moment of rod is

Moment of inertia of a thin rod of mass m and length l about an axis passing through a point l/4 from one end and perpendicular to the rod is

The moment of inertia of a uniform thin rod of length L and mass M about an axis passing through a point at a distance of L//3 from one of its ends and perpendicular to the rod is

The moment of inertia of a uniform thin rod of length L and mass M about an axis passing through a point at a distance of L/3 from one of its ends and perpendicular to the rod is

An insulting thin rod of length l has a linear charge density rho(x)=rho_(0)(x)/(l) on it. The rod is rotated about an axis passing through the origin (x=0) and perpendicular to the rod. If the rod makes n rotations per second, then the time averaged magnetic moment of the rod is :

A thin uniform rod of mass M and length L. Find the radius of gyration for rotation about an axis passing through a point at a distance of (L )/(4 ) from centre and perpendicular to rod.

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

A steel rod of length 2l cross-sectional area A and mass M is set rotating in a horizontal plane about an axis passing through its centre and perpendicular to its length with constant angular velocity omega . If Y is the Young's modulus for steel, find the extension in the length of the rod. (Assume the rod is uniform.)