Question

I. Draw individual free body diagram for mass A and mass EB Ensure you identify all forces. Label forces appropriately. Ensure zero ambiguity between terms. Treat both mass A and mass B as particles. mA 1500 kg m500 kg 200 m 35° 75° Include axis. Ensure you identify the correct direction of the friction forces. Logically justify your selected friction direction (1-3 sentences with some supporting calculations would suffice) 2. Derive an equation of motion for mass A in terms of its acceleration and the cable tension (T) Ensure you show all steps. Communicate and justify your working 3. Derive an equation of motion for mass B in terms of its acceleration and the cable tension (T) . Ensure you show all steps Communicate and justify your working 4. Derive an equation for the constrained motion of the pulley which defines the acceleration of mass A and mass B . Show a diagram to assist in your working Ensure you show all steps. Communicate and justify your working 5. What are the accelerations of mass A and B? What is the tension in the pulley? Ensure you show all steps. Communicate and justify your working. 6. What is the critical friction between the slope and mass B (ie, what value of μΒ will cause the system to stop moving)? . Ensure you show all steps. Communicate and justify your working

Answer 1