Exercise 2: Measuring coefcient of static friction In Exercise 1, you considered a shoe at rest on a ramp. You will now be performing this experiment to determine the coefcient of static friction between the shoe and the surface it is resting on. Procedure: (see |ab_2_video_'l for extra guidance if needed) 1) Set up your experiment by placing your shoe on a at surface that can be tilted to create a ramplinclined plane. 2) Slowly increase the angle of your ramp until the shoe begins to slide. Note the angle of the ramp at the angle it begins to slide as shown in the image below. Repeat this measurement three times and take the average of your measured values. Record these angles in the table below. Note: Leave the coefcient of static friction (us) column blank for now, you will be calculating it in the next section. Results Coefficient of Static Friction Data Coefficient of Angle of ramp static friction s [unitless] Analysis Your shoe remains motionless due to friction until the angle is great enough such that the max force of static is smaller in magnitude compared to the force of gravity parallel to the ramp. In Exercise 1, you wrote an equation for the net force acting on your shoe in this scenario where it is motionless and just on the verge of slipping. Rearrange this equation so that you can calculate us as a function of 6 (Le. us is on the left-hand side of the equation and everything else including .9 is on the right-hand side). Use this equation to ll in the rest of the above chart with your calculated values of ,us. (2.1) Submit your chart completed with the results from Exercise 2. (3 marks) Right before your shoe starts sliding, 8 reaches a maximum which means the force of gravity down the ramp is also at a maximum. This force is balanced by the static friction acting up the ramp. (2.2) By reducing the angle of the ramp by a factor of 2, ,ur5 does not change, yet the object remains stationary. As the angle of the ramp decreases, the normal force increases. Explain why your object remains stationary in a few short sentences. Alter your equation (Fame = :13 F") to reect this. (3 marks) Hint: Is FEW = ,us FN true at all times? Or should you reconsider the equal sign? Other options include >,