1. Car circling along a banked curve Consider a car circling along a frictionless banked curve with an angle of 30 degrees and radius of 200 In. What is the necessary speed of the car to avoid any sliding? Try to navigate through this problem in the following steps: (1) Draw the free body diagram of the car from a side View of the banked curve (2) Set up the Newton's 2"" law for each of the \"rtz\" coordinates (3) Find how fast (critical speed) the car has to move in order to avoid sliding up and down the banked curve