Learning Goal: To set up and analyze equations of motion in a cylindrical coordinate system. The mechanism shown in the figure below rotates about the vertical axis. The collar has mass m = 2.95 kg. The spring has an unstretched length of 300 mm and the spring constant is k = 250 N/m. The distance d = 225 mm, and the collar is required to stay a fixed distance r = 300 mm from the vertical axis. (Figure 1) Part A - The angular velocity for a smooth shaft If there is no friction between shaft AB and the collar, what angular velocity must the mechanism have to keep the collar at r = 300 mm from the vertical axis? Express your answer to three significant figures. View Available Hint(s) = 4.12 rad/s Figure 1 of 1 d A wwwww k C B Submit Previous Answers Correct Part B - The minimum required angular velocity when there is friction Consider the same mechanism again, with m = 2.95 kg, d = 225 mm, k = 250 N/m, only now, instead of being smooth, the collar and shaft have a maximum coefficient of friction of s = 0.297. What is the minimum angular velocity required to keep the collar at a constant distance r = 300 mm from the axis of rotation? Express your answer to three significant figures. View Available Hint(s) = 1.86 rad/s Submit Previous Answers Correct Notice that this angular velocity is less than that found in Part A, as expected. Part C - The maximum allowable angular velocity when there is friction Consider the same mechanism again with m = 2.95 kg d=225 mm k = 250 N/m and 0.297 What is the Part B - The minimum required angular velocity when there is friction Learning Goal: To set up and analyze equations of motion in a cylindrical coordinate system. The mechanism shown in the figure below rotates about the vertical axis. The collar has mass m = 2.95 kg. The spring has an unstretched length of 300 mm and the spring constant is k = 250 N/m. The distance d = 225 mm, and the collar is required to stay a fixed distance r = 300 mm from the vertical axis. (Figure 1) Consider the same mechanism again, with m = 2.95 kg, d = 225 mm, k = 250 N/m, only now, instead of being smooth, the collar and shaft have a maximum coefficient of friction of s = 0.297. What is the minimum angular velocity required to keep the collar at a constant distance r = 300 mm from the axis of rotation? Express your answer to three significant figures. View Available Hint(s) = 1.86 rad/s Figure < 1 of 1 d k B Submit Previous Answers Correct Notice that this angular velocity is less than that found in Part A, as expected. Part C - The maximum allowable angular velocity when there is friction Consider the same mechanism again, with m = 2.95 kg, d = 225 mm, k = 250 N/m, and s = 0.297. What is the maximum angular velocity allowable if the collar is to remain at a constant distance r = 300 mm from the axis of rotation? Express your answer to three significant figures. View Available Hint(s) vec 6 Submit Previous Answers Request Answer Incorrect; Try Again ? rad/s