Motion of the wheel as it rolls up the fixed rack on its geared hub is controlled throug...

Motion of the wheel as it rolls up the fixed rack on its geared hub is controlled through the peripheral cable by the driving wheel D, which turns counterclockwise at the constant rate ω₀ = 4 rad /s for a short interval of motion. By examining the geometry of a small (differential) rotation of line AOCB as it pivots momentarily about the contact point C, determine the angular velocity ω of the wheel and the velocities of point A and the center O. Also fi nd the acceleration of point C.