500 gr collar C may slide along pole AB. The spring has an undeformed length of 400.0 mm and a spring constant of 135 N/m. Knowing that the collar is released from rest at A and that A h = d = 800.0 mm 600.0 mm a) determine the speed of collar at B if there is friction between collar and rod with a coefficient of friction of MK = 0.25 = 0.35 b) using the results of part a) determine the speed of collar at B if there is no friction between collar and rod. NOTE: You may need: A machine part consists of a thin, uniform 5.0-kg bar that is 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. = Jde/cose In(1/cose + tan0) Jd0/cos0 = tane 4.8 m d h 30 points hinge 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 90 to make the entire part horizontal? 4.0 kg 4.8 m b) Find the equation of the path of CM as vertical parts moves through an angle of 180 counterclockwise from its initial position. Indicate what the path is and draw the path of CM. 3.0 kg 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 of 45 counterclockwise. On a graph show the location of the CM, its velocity and acceleration for part c). 30 points