A wheel having moment of inertia 2 kg m^2 about its axis ,rotates at 50 rpm .About this axis .Find the torque that can stop te wheel in one minute.

The moment of inertia of ring about an axis paralle to one of its diameter and angential to the ring is :

A string is wrapped around the rim of a wheel of moment of inertia 0.20 kg m^2 and radius 20 cm.the wheel is free to rotate about its axis .Initially,the wheel is at rest.The string is now pulled by a force of 20 N.Find the angular velocity of the wheel after 5.0 seconds.

Moment of inertia of a sphere about its diameter is 2/5MR^2 . What is the radius of gyratin about that axis?

The oxygen molecule has a mass of 5.30 xx 10^-26 kg and a moment of inertia of 1.94xx10^-46 kg m^2 about an axis through its centre perpendicular to the lines joining the two atoms. Suppose the mean speed of such a molecule in a gas is 500 m//s and that its kinetic energy of rotation is two thirds of its kinetic energy of translation. Find the average angular velocity of the molecule.

Find the moment of inertia of a thin circular ring about an axis passing through the centre and perpendicular to the plane of the ring

The moment of inertia of a ring is 0.40 kg m^2 .If it is making 2100 rpm ,What torque is required to stop it in 2 seconds?

The moment of inertia of a rod about an axis through its centre and perpendicular to its length is ML^2//12 (where M is the mass and L is the lenth of the rod).The rod is bent in the middle so that the two halves make an angle 60^@ .The moment of inertia of the bent rod about the same axis would be :

The discs of moments of inertia I_1 and I_2 about their respective axis (normal to the disc and passing through the centre), and rotating with agnular speeds omega_1 and omega_2 are brought into contact face to face with their axis of rotation coincident. Show that the kinetic energy of the combined system is less than the sum of the initial kinetic energies of the two discs. How do you account for this loss in energy ? Take omega_1 ne omega_2 .

About which axis of a body is its moment of inertia the least?

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^2//5 , where M is the mass of the sphere and R is the radius of the sphere.