A vehicle accelerates uniformly from rest to a final velocity whilst ascending a gradient. There is frictional resistance to motion. Making use of D’Alembert’s principle and the parameters below, determine: i) the tractive effort between the wheels and the road surface ii) the work done in ascending the slope iii) the average power developed by the engine. Weight (N) 650 Velocity (km/h) 42 Time (s) 7 Gradient (degrees) 19 Frictional resistance (kN) 0.507 b) A space vehicle travelling at a steady velocity separates by a controlled explosion into two sections. The two parts carry on in the
same direction with the heavier rear section moving slower than the lighter front section. Determine the final velocity of each section. Velocity (m/s) 1005 Mass of heavy rear section (kg) 629 Mass of light front section (kg) 195 Speed of heavy rear section = 149 m/s slower than front section c) A lift cage accelerates upwards from rest to a final velocity whilst travelling a vertical distance. Assume no frictional resistance to motion. Making use of the principle of conservation of energy, determine: i) the work done ii) the tension in the lifting cable iii) the maximum power developed. Mass of lift cage (kg) 556 Final velocity (m/s) 5.3 Distance travelled (m) 12
can anyone help?