To set up and analyze equations of motion in a cylindrical c

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 Express your answer to three significant figures. The minimum required angular velocity when there is friction Consider the same mechanism again, with m = 3.65 kg, d = 450 mm, k = 250 N/m, only now, instead of being smooth, the collar and shaft have a maximum coefficient of friction of mu_s = 0.26. What is the minimum angular velocity required to keep the collar at a constant distance r = 2000 mm from the axis of rotation? Express your answer to three significant figures.

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