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● (^) Problems arise frequently as part of any engineering design process. ● (^) Mechanical Engineers must obtain numerical answers to questions that involve a remarkable breadth of variables and physical properties. ● (^) Each quantity that is encountered in mechanical engineering has two components: a numerical value and a dimension. One is meaningless without the other. ● (^) Dimensional consistency, units and their conversions are very important. ● (^) Many times in a design process, engineers are asked to estimate quantities rather than finding an exact value.
● (^) What went wrong? ● (^) A close look at the spacecraft’s flight trajectory revealed that during its final approach to the planet, the MCO apparently passed only 60 km above the Martian surface, rather than the planned closest approach of between 140 km and 150 km ● (^) There were two teams collaborating on the spacecraft’s operation and navigation ● (^) To steer the spacecraft and make changes to its velocity, a team of scientists and engineers needed to know the engine’s impulse, or the net effect of the rocket engine’s thrust over the time that the engine burns.
● (^) Try to organize and present your work according to the following three steps: ● (^) Approach, Solution, Discussion ● (^) Approach: In this step you should come up with a plan to attack the problem. ● (^) Think about the problem up front before you start crunching numbers ● (^) Write a short summary of the problem and explain the general steps for solution, and list the major concepts, assumptions, equations, and conversion factors that you expect to use.
● (^) Discussion: First, use your intuition to determine whether the answer’s order of magnitude seems reasonable. ● (^) Second, evaluate the validity of your assumptions. ● (^) Third identify the major conclusion that you are able to draw from the solution, and explain what your answer means from a physical standpoint.
● (^) Significant digits are digits that are relevant and meaningful. ● (^) Precision: Number of significant digits used to represent a quantity. ● (^) Accuracy: Number of correct significant digits.
