Submit a single pdf document to Canvas. For each problem, write the problem statement in your own words, show the solution including the MATLAB code and the required formatted plot (with tittle, axis labels, and grid lines), clearly state the answers, and briefly discuss the results. 1. (Problem 5.16, except modified to require MATLAB instead of Excel to plot) When a rope is pulled across a fixed cylinder, such as shown in Figure P5.16, the tension in the rope is greater on one side than on the other due to friction between the rope and the cylinder. In this example, the force required to lift the 500-N weight will be greater than 500N, since the friction force is resisting the movement. In statics, you will learn that the relationship between the two forces is as follows: T2=T1e where = the coefficient of friction, a property of the two contacting materials, and = the contact angle in radians. Figure P5.16 Use MATLAB to plot T2, the force required to lift the weight, versus the angle in degrees from 0 to 720 (the rope wrapped completely around the cylinder twice), using =0.3 and T1=500N. Comment on the results. 2. Repeat the previous problem for a friction coefficient =0.1. Add the curve to the plot created in the previous problem. Add a legend identifying the two curves