question archive 3 The extension, y, of a material with an applied force, F, is given by y = efx1x10-3 a) Calculate the work done if the force increases from 100N to 500N using: i) An analytical integration technique ii) A numerical integration technique [Note: the work done is given by the area under the curve] b) Compare the two answers c) Using a computer spreadsheet increase the number of values used for your numerical method d) Analyse any affect the size of numerical step has on the result
3 The extension, y, of a material with an applied force, F, is given by y = efx1x10-3 a) Calculate the work done if the force increases from 100N to 500N using: i) An analytical integration technique ii) A numerical integration technique [Note: the work done is given by the area under the curve] b) Compare the two answers c) Using a computer spreadsheet increase the number of values used for your numerical method d) Analyse any affect the size of numerical step has on the result
Subject:Civil EngineeringPrice: Bought3
3 The extension, y, of a material with an applied force, F, is given by y = efx1x10-3 a) Calculate the work done if the force increases from 100N to 500N using: i) An analytical integration technique ii) A numerical integration technique [Note: the work done is given by the area under the curve] b) Compare the two answers c) Using a computer spreadsheet increase the number of values used for your numerical method d) Analyse any affect the size of numerical step has on the result. 4 For the function v = 12 sin 40, calculate the: a) Mean b) Root mean square (RMS) Over a range of 0 < 0 s " radians. [Note the trigonometric identity cos 20 = 1 - 2 sin2 0] 5 A complex function can be modelled by the equation: y = cos(x3) 3x2 Find the indefinite integral of the function (S cos(x3)3x2 dx) using a substitution method. 6 The acceleration of an object moving in a strange way has been modelled as a = exx. a) Use integration by parts to find an equation to model the velocity v if v = Sexx dx. b) Is the problem any different if you find v = S xe* dx?
