Systems of Part...

A solid sphere of mass M, radius R and having moment of inertia about an axis passing through the centre of mass as I, is recast into a disc of thickness t, whose moment of inertia about an axis passing through its edge and perpendicular to its plane remains I. Then, radius of the disc will be

The moment of inertia of a thin rod of mass M and length L about an axis perpendicular to the rod at a distance L/4 from one end is

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

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 T joint is formed by two identical rods A and B each of mass m and length L in the XY plane as shown. Its moment of inertia about axis coinciding with A is

A uniform rod of length ‘2L\' has mass per unit length \'m\' The moment of inertia of the rod about an axis passing through its centre and perpendicular to its length is

The moment of inertia of a uniform rod about a perpendicular axis passing through one end is I₁. The same rod is bent into a ring and its moment of inertia about a diameter is I₂. Then I₁ / I₂ is

The moment of inertia of a circular disc of radius 2 m and mass 1 kg about an axis passing through the centre of mass but perpendicular to the plane of the disc is 2 kg m². Its moment of inertia about an axis parallel to this axis but passing through the edge of the disc is (see the given figure)

The radius of gyration of a thin uniform circular disc (of radius R) about an axis passing through its centre and lying in its plane is

A tap can be operated easily using two fingers because