Exercise 1: Planning your experiment In this lab you will be exploring the exciting world of tribology, or, the science of friction. The goal of the following exercises is to measure the coefcient of static and kinetic friction between your shoe and an inclined surface of your choice (i.e., measure the mu of your shoe ). There are several common ways of making this type of measurement, and today you will be using the setup described in parts c) and d) of the Warm-Up exercise. You will look at two cases: 1) when your shoe is just about to slide; any greater angle of the ramp will result in the shoe accelerating down the ramp, and 2) when your shoe accelerates at a constant rate down a ramp with an angle slightly larger than found in case 1). Before you continue collect the following: 1. One shoe. Tip: this experiment works a bit better with shoes that are more \"slippery\" and have iess grip. We recommend shoes that are a bit cider and have the soies worn down, or shoes that are just not too grippy to begin with. 2. Measuring tape Protractor 4. Inclined planeiramp for which the angle can be adjusted. Suggestions: a tong piece of cardboard works great to make a ramp, or a coffee tabie that you can tiit, a white board, anything smooth and at that can be titted and has a iength of at ieast 40cm, the ionger it is the more accurate your measurement resuits. F" Place your shoe on the at surface and slowly tilt the ramp up increasing the angle. For this scenario answer the following: (1.1) i) Draw the FBD for the forces that are acting on your shoe right before it starts sliding but is still stationary, and make sure you properly label the forces. Dene your axes to be parallel and perpendicular to the ramp. Take the direction down the ramp to be the positive x-direction and up out of the ramp to be the positive y-direction. ii) Write an equation for the sum of the forces acting on your shoe in the direction parallel to the ramp. Your equation should look like this: Fnet = [sum of all forces] = me = N where [sum of all forces] is a list of all of the forces acting on your shoe in the parallel x- direction. (2 marks) Make sure you include the correct sign for your forces. You may wish to refer to one of the free-body diagrams in the Warm-Up Exercises. Now review the scenario above for the case where angle of the ramp is large enough that the shoe accelerates down the ramp