Problem 1.145

A closed chain \(A\) of mass \(m=0.36 \mathrm{~kg}\) is attached to a vertical rotating shaft by means of a thread (Fig. 1.37 ), and rotates with a constant angular velocity \(\omega=35 \mathrm{rad} / \mathrm{s}\). The thread forms an angle \(\theta=45^{\circ}\) with the vertical. Find the distance between the chain's centre of gravity and the rotation axis, and the tension of the thread.