Question

Consider the simplest rigid body, consisting of two point objects each of mass m, connected by a massless stick of length 2f. Suppose that the motion of this baton is to spin about an axis we'll choose to call , i.e. w = w2. We choose our origin at the center of mass, which is stationary. The angle between the AB axis and i is B.

Answer 1

moment of inertia of baton system=2 ml²$Sin^{2}(\beta )$ ​​ which is constant

Angular velocity of baton system is constant.

So angular momentum of the baton system is constant about the given axis.(as we know angular momentum of rigid body is $I\omega$)

So torque on the given system will be zero