A machine part consists of a thin, uniform 5.0-kg bar that is 4.8m 4.8 m long, hinged perpendicular to a similar vetrical bar of + mass 4.0 kg and length of 4.8 m. The vertical bar has a small but dense 3.0-kg ball at the end. 5.0 kg a) By what distance will the center of mass (CM) of the system move horizontally and vertically if the bar is pivoted counterclockwise through 900 to make the entire part horizontal? b) Find the equation of the path of CM as vertical parts moves through an angle 01'1300 counterclockwise from its initial position. Indicate what the path is and draw the path of CM. c) If the ball rotates about the pivot with a constant angular velocity of 3 rad/min, determine the velocity and acceleration of the center of mass when ball has moved through an angle of450 counterclockwise. d) On a graph show the location of the CM, its velocity and acceleration for part c). 4.0 kg 3.0 kg 4.8m