A machine part consists of a thin, uniform 4.00−kg bar that is 1.50 m long, hinged perpendicular to a similar vertical bar of mass m_rod = 3.33 kg and length 1.80 m. The longer bar has a small but dense m_ball = 1.88−kg ball at one end (see figure). By what distance will the center of mass of this part move if the vertical bar is pivoted counterclockwise through 90∘ to make the entire part horizontal? HINT: it may be easier to first calculate how much the center of mass moves horizontally and vertically, separately.