MEE30003 Machine Design Tut 1: Modelling exercises Task 1 (Problem 2.7) The motorcycle in the following picture has a wheel base of length L. The centre of gravity is a distance c forward of the rear axle and a distance of h above the road. The coefficient of friction between the pavement and the tires is p. Determine a mathematical model/equation of the magnitudes of the forces exerted by the roadway on the two tires during braking for (a) rear wheel braking only, (b) front wheel braking only, and (c) front and rear wheel braking. Task 2 You have been appointed to a team of engineers who have been asked to design a wheel based vehicle to cover rough terrain. Because of the rough terrain, it will need to be able to travel over large rocks. The designers want to have an idea of what size (by radius) boulders the vehicle could be capable of travelling over along with what size the wheels would need to be and how much torque would need to be applied to be able to do this. Because many different combinations might work, a general mathematical model to calculate these values is desired. Given that you have recently completed an engineering degree at Swinburne, and been taught some phenomenal mechanical engineering design skills that few others have, it has been decided that you will be the one to perform the analysis (note: despite what you think, it is not because you're the newest member and no-one else really wants to do it). Task 3 Consider the fictional character Iron Man. Assume the repulser technology that allows him to fly works by pushing air away from his feet. Determine a mathematical term for the repulser diameter/ air velocity combinations that will allow him to hover. 1