The system shown in Figure P12.12 consists of two balls \(A\) and \(B\) connected by a thin rod of negligible mass. Ball A has three times the inertia of ball \(\mathrm{B}\) and the distance between the two balls is \(\ell\). If the system has a translational velocity of \(v\) in the \(x\) direction and is spinning counterclockwise at an angular speed of \(\omega=2 v / \ell\), determine the ratio of the instantaneous speeds of the two balls \(v_{\mathrm{A}} / v_{\mathrm{B}}\) at the moment shown.

Data from Figure P12.12

Transcribed Image Text:

B +x A w = 20/1