You have just obtained a well-paid summer internship in the renowned civil engineering firm, RoundaboutMe Lte. Ptd. This firm recently received a substantial amount of money from the govemment to design and build a roundabout in front of Universiti gate. With a little excitement, you enter the headquarters of the firm awaiting your project. The boss clarifies your initial assignment in the following letter: Dear New Intern, There are numerous tasks to carry out in the construction of a gate roundabout. We must evaluate the type, quality, and structural patterns of the soil before we lay down any concrete. There are also many choices to make when it comes to design a roundabout. The partners in our firm have opted for a flat, circular, counter-clockwise exit, mostly for purposes of cost- effectiveness. As an intern, you will have to determine what portion of a circle we will need, as well as the optirnal dimension of the circle Security being of utmost importance, you will have to calculate the maximum speed limit on the roundabout. Note that the maximum speed on the road is 60 km h, although speeds of up to 80 km h are common. As a designer, it is almost a rule of thumb that excesses of 20% over the speed limit are to be expected. Your calculations should be thorough enough to include different scenarios, such as travelling in rain or on oil spillage Minimizing the number of accidents on our roundabout is a critical part of obtaining future contracts. Trusting the quality and thoroughness of your work, Dato. Ir. Hasbi CEO, RoundaboutMe You have little experience with blueprints, so you decide to travel to the location of the future roundabout. You find that the construction site of a square plot of land measuring 5,000 m. You also find out that vehicles driving on the roundabout may range in masses from 100 kg (e.g., motorcycles) to 100,000 kg (e.g., fully loaded trucks). List all the relevant information you have gathered from the problem. Based on this information, state what you need to know to solve the problem. As new information comes in, you will want to summarize and update the relevant information you have gathered and ask new questions. Questions 1) List the tasks that you must work on, based on the CEO's request. 2) Sketch the roundabout you plan to design including the dimension. (Any design if circular is acceptable, the dimension must fit into 5000 m) 3) Draw a 2-D force diagram and free body diagram of the vehicle on the roundabout showing all forces in top and front view plane and derive equation for horizontal and vertical components. 4) What is the role of friction in determining the speed limit? Does friction help or prevent cars from moving along the roundabout? 5) How will rain or oil spillage affect your predictions? What must you change if rain or oil spillage reduces the frictional force?