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Given that x = 1 and dx/dt = 0, obtain the solution of the differential equation
where g(t) is the piecewise-continuous function defined in Exercise 14(b).
Exercise 14(b)
Express in terms of Heaviside unit step functions the following piecewise-continuous causal functions. In each case obtain the Laplace transform of the function.
Suggest an appropriate material for each of the following applications, and, if necessary, recommend corrosion prevention measures that should be taken. Justify your suggestions.
You own an aluminium processing plant, and want to hot roll aluminium from a billet to a sheet form. The billet is 5m long, 3m wide and 0.25m thick. Your output sheet is to be 0.001m in thickness by 3m width. You configured your plant as a flexible m..
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1 kg of air is polytropically compressed reversibly from 5 bar to 10 bar from an initial temperature of 300oC. Find the transferred heat and the change in entropy. Take the polytropic index as 1.25.
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