The moment of inertia of the disc used in a torsional pendulum about the suspension wire is `0.2kg-m^2`. It oscillates with a period of 2s. Asnother disc is placed over the first one and time period of the system becomes 2.5s. Find the moment of inertia of the second disc about the wire.

(a) A uniform disc of radius 5*0cm and mass 200g is fixed at its centre to a metal wire, the other end of which is fixed with a clamp. The hanging disc is rotated about the wire through an angle and is released. If the disc makes torsional oscillations with time period 0.20s , find the torsional constant of the wire. (b) In the previous part, another disc is placed over the first one and the time period of the system become 0.65 . Find the M.I. of the second disc about the wire.

State and prove theorem of perpendicular axes and use it to obtain moment of inertia of a solid disc about one of it's diameter.

If the radius of gyration of a solid disc of mass 10 kg about an axis is 0.40 m, then the moment of inertia of the disc about that axis is

The moment of inertia of a disc about an axis passing through its centre and perpendicular to its plane is 0.4 kg m^2 . Calculate its moment of inertia about its diameter

The moment of inertia of a disc about an axis passing through its centre and perpendicular to its plane is 0.4 kg m^2 . Calculate its moment of inertia about tangent perpendicular to the plane of the disc.

The moment of inertia of a disc about an axis passing through its centre and perpendicular to its plane is 0.4 kg m^2 . Calculate its moment of inertia about tangent parallel to the plane

The moment of inertia of a circular disc about an axis passing through its centre and perpendicular to the plane is 4 kg m^(2) . Its moment of inertia about the diameter is

(a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2MR^2IS, where M is the mass of the sphere and R is the radius of the sphere(b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be MR2I4, find its moment of inertia about an axis normal to the' disc and passing through a point on its edge.

The moment of inertia of a circular disc about its diameter is 500 kg m^(2) . If its radius is 2 m, than its radius of gyration is