A small, solid aluminum cylinder (length = 9.00 inch, d = 3.50 inch) is rolling on a level floor when it encounters a ramp that slopes upwards at 37.0 degrees to the horizontal. The cylinder rolls exactly 40.0 inches up the ramp before coming to a stop. Calculate the translational and rotational velocities of the cylinder just before it encounters the ramp. The density of aluminum is 2710 kg/m³ and the moment of inertia of a solid cylinder is 1/2 MR².
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