Practice Quiz: Chapter 12

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. Which of the following is a valid approach for predicting the behaviour of a new design under extreme conditions?

a) Prediction based on past experiences correct incorrect

b) Prediction based on physical models correct incorrect

c) Prediction based on mathematical models correct incorrect

d) All of the above correct incorrect

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. Which type of relationship is Hooke's Law, which relates stress and strain in a linear, elastic material?

a) Conservation law correct incorrect

b) State equation correct incorrect

c) Heuristic relationship correct incorrect

d) Compatibility requirement correct incorrect

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. Which type of relationship is Coulomb's Law, which relates normal force and sheer force between two bodies in sliding contact?

a) Conservation law correct incorrect

b) State equation correct incorrect

c) Heuristic relationship correct incorrect

d) Compatibility requirement correct incorrect

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. If a problem has seven independent relationships and seven variables, how many solutions will the problem have?

a) One solution correct incorrect

b) No solution correct incorrect

c) More than one solution correct incorrect

d) Both a and b correct incorrect

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. Which of the following can a relationship in a model express?

a) Physical laws correct incorrect

b) Repeated observations and experiences correct incorrect

c) The interface between components and phases correct incorrect

d) All of the above correct incorrect

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. What kind of variable is the force of gravitation when modelling the behaviour of a car?

a) Exogenous variable correct incorrect

b) Endogenous variable correct incorrect

c) Design variable correct incorrect

d) Determined variable correct incorrect

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. How should an engineer choose the values of design variables?

a) Choose them at random correct incorrect

b) Choose them by referencing earlier projects correct incorrect

c) Choose them in order to optimize design objectives correct incorrect

d) None of the above correct incorrect

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. Which of the following is not a good approach to model validation?

a) Checking the consistency of units correct incorrect

b) Performing sensitivity analysis correct incorrect

c) Comparing two sets of predictions made by the same model using different parameters correct incorrect

d) Checking if the magnitude of the prediction is reasonable correct incorrect

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. Which of the following is not a step in the process of developing a mathematical model?

a) Making assumptions correct incorrect

b) Identify relationships correct incorrect

c) Solving the model correct incorrect

d) Using the model to illustrate the benefit of one design over another correct incorrect

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. What is a benefit of using mathematical models?

a) Making accurate predictions based on known physical laws correct incorrect

b) Being able to identity a number of relationships in the model correct incorrect

c) Making your report look professional correct incorrect

d) All of the above correct incorrect

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. The six steps of mathematical modelling always take place sequentially.

a) True correct incorrect

b) False correct incorrect

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. To validate a model, you must solve it first.

a) True correct incorrect

b) False correct incorrect

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. All relationships in engineering, including heuristics, are expressed as equations.

a) True correct incorrect

b) False correct incorrect

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. Models can always be validated prior to the development of a solution strategy.

a) True correct incorrect

b) False correct incorrect

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. Spatial components and temporal phases are the only two ways to subdivide physical systems during modelling.

a) True correct incorrect

b) False correct incorrect