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Unformatted text preview: Sample Mid-Term TAM 412 Instructions : This test is closed book, closed notes. You may use a calculator, but should not require such a tool. You may use a ruler for drawing purposes. Unless otherwise noted, all computations should be explicit and actual algebraic answers are expected. Theory questions For each of the following questions, make sure to justify your answer either by means of a mathematical proof (in the case of establishing a formula or a general proposition) or by means of an example (in the case of establishing a possibility or negating a general proposition). 1. (10 p) A mechanism is in equilibrium if all the coordinate functions corresponding to some chart are constant functions of time. What is the form of Lagrange's equations in this case? 2. (15 p) Can constraint forces do work? If yes, explain how! If no, why not? Work-out problems For each of the following questions, make sure to justify your answer by providing explicit computations and actual algebraic answers. If you are unable to ¯nd requested expressions in terms of the quantities given in theactual algebraic answers....
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- Spring '08
- actual algebraic answers