a) At an engineering firm, your manager has asked you to familiarise yourself with different principles...

  

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a) At an engineering firm, your manager has asked you to familiarise yourself with different principles that can be used in problem solving. Solve the following problem twice, once using D'Alembert's Principle and once using the Principle of Conservation of Energy: A block with a mass of 15kg is pulled up an incline with an angle of 25, as shown in the diagram below. The distance from A to B is 10m. The block accelerates uniformly from 3 m/s at point A to 7 m/s at point B. The coefficient of friction between the block and the ramp is 0.12. Calculate: i. The pulling force which produces the acceleration The work done in moving the block from A to B The average power required to move the block from A to B iii. A v, a m=15kg 8=25 B b) The Principle of Conservation of Energy equates work done in a system to the changes in potential and kinetic energy in addition to any energy losses. D'Alembert's Principle equates work done to the sum of all forces applied in a system times the distance over which they are applied. These two approaches can be used independently or in a complimentary manner, depending on the information available. Compare and contrast the two methods in relation to the problem you have solved in task a). a) At an engineering firm, your manager has asked you to familiarise yourself with different principles that can be used in problem solving. Solve the following problem twice, once using D'Alembert's Principle and once using the Principle of Conservation of Energy: A block with a mass of 15kg is pulled up an incline with an angle of 25, as shown in the diagram below. The distance from A to B is 10m. The block accelerates uniformly from 3 m/s at point A to 7 m/s at point B. The coefficient of friction between the block and the ramp is 0.12. Calculate: i. The pulling force which produces the acceleration The work done in moving the block from A to B The average power required to move the block from A to B iii. A v, a m=15kg 8=25 B b) The Principle of Conservation of Energy equates work done in a system to the changes in potential and kinetic energy in addition to any energy losses. D'Alembert's Principle equates work done to the sum of all forces applied in a system times the distance over which they are applied. These two approaches can be used independently or in a complimentary manner, depending on the information available. Compare and contrast the two methods in relation to the problem you have solved in task a).