A thin uniform rod- of length L, area of cross section A and density `rho` - is rotated about an axis passing through a point at a distance `(L)/(6)` from one end and perpendicular to its length. Derive its moment of inertia about this axis in terms of L, A and `rho`.

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.

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

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

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

Consider a thin uniform rod having length 'L' and mass 'M'. Its moment of inertia about an axis passing through mid-point between centre point and one end and perpendicular to its length is

A uniform rod of mass m. length L, area of cross- secticn A is rotated about an axis passing through one of its ends and perpendicular to its length with constant angular velocity o in a horizontal plane If Y is the Young's modulus of the material of rod, the increase in its length due to rotation of rod is

The radius of gyration of a uniform rod of length l , about an axis passing through a point (l)/(8) away form the centre of the rod , and perpendicular to it is: