You finished your PHYS 2211 course and during the summer you get a job at a fair, where they ask you to design a ride. The ride you designed consists of a very tall pole that can rotate, with a (relatively massless) mechanical arm that rotates at an angle 9 = 30 degrees (left side of the figure). At the end of the arm there is a cabin that sits 10 people. The total mass of the cabin and people is estimated to be about m = 2000 kg. If the length of the arm is R = 15 m, and the pole rotates at an angular speed of w = 27r/20 rads/sec, what is the translational angular momentum of the cabin with respect to the point where the mechanical arm attaches to the pole? You can pretend the cabin is a point mass. If the length of the arm is R = 15 m, and the pole rotates at an angular speed of w = 27r/20 rads/sec, what is the translational angular momentum of the cabin with respect to the point where the mechanical arm attaches to the pole? You can pretend the cabin is a point mass. In the original version (left side of the gure), what is the magnitude and direction of the torque exerted by the gravitational force on the cabin, with respect to the point where the mechanical arm attaches to the pole