Problem 1.112

\(1.112 .\) A horizontal disc rotates with a constant angular velocity \(\omega=6.0\) rad/s about a vertical axis passing through its centre. A small body of mass \(m=0.50\) kg moves along a diameter of the disc with a velocity \(v^{\prime}=50 \mathrm{~cm} / \mathrm{s}\) which is constant relative to the disc. Find the force that the disc exerts on the body at the moment when it is located at the distance \(r=30 \mathrm{~cm}\) from the rotation axis.