Mathematical modelling of the distance run by car rolling on the first profile section of the double incline
Critical analysis of the earlier studies on the calculation of geometrical parameters of the hill (profile section height and gradient of slop) and kinematic parameters of the car (speed, time and distance run) by its rolling was carried out. Here we give analytical formulas for calculation of friction torque of wheel and axle bearings rolling in the cart of the car by clear wheel rolling and of friction force by wheel rolling with slipping on the first profile section with contrary or/and following wind. Analytical formula for calculation of distance run taking into account active and reactive force and resistive force torque on the first profile section was derived, using this formula we can calculate distance run only when the final speed of the car is known. Calculation of the speed of car rolling is another problem which can be solved only with the help of differential equation of motion.