Why is the moment of a couple independent of the axis of rotation even if axis is fixed?

The moment of couple is independent of

Aballet dancer spins about a vertical axis at 120rpm with arms outstretched. With her arms folded the moment of inertia about the axis of rotation decreases by 40 %. What isnew rate of revolution ?

A flywheel rotating about a fixed axis has a kinetic energy of 360 J when its angularspeed is 30 rad/s, then the moment of inertia of fly wheel about the axis of rotation will be

A circular disc of radius R and thickness R/6 has moment of inertia I about an axis passing through. Its is melted and recast into a solid sphere. What is the moment of inertia of the solid sphere about its diameter as the axis of rotation?

A uniform ring of mass M of outside radius r_(2) is fitted tightly with a shaft of radius r_(1) . If the shaft is rotated with a constant angular acceleration. About it's axis, the moment of the elastic force in the ring about the axes of rotation is

A ballet dancer spins about a vertical axis at 90 rpm with arms outstretched. With the arms folded, the moment of inertia about the same axis of rotation changes to 75 %. Calculate the new speed of rotation.

The moment of couple acting on an electric field is maximum when

Why is diamagnetism independent of temperature?

An electric fan has blades of length 30 cm as measured from the axis of rotation. If the fan is rotating at 1200 rpm , find the acceleration of a point on the tip of a blade.

State an expression for moment of inertia of a uniform solid sphere about on axis of rotation coinciding with its diameter.