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# ps3 - 2.14/2.140 Problem Set 3 Assigned Thurs Feb 22 2007...

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2.14/2.140 Problem Set 3 Assigned: Thurs. Feb. 22, 2007 Due: Thurs. March 1, 2007, in class Reading: Nise Ch. 3; Notes from course web page on state-space to transfer function conversion. The following problems are assigned to both 2.14 and 2.140 students. Nise Ch. 3, Problem 4 Use the mass positions and velocities as the state variables. Nise Ch. 3, Problem 6 Use the inertia rotary positions and velocities as the state variables. Nise Ch. 3, Problem 11a Carry out the requested calculations by hand; do not use Matlab or other computational tools. Nise Ch. 3, Problem 13 Nise Ch. 3, Problem 14a Nise Ch. 3, Problem 19 Nise Ch. 3, Problem 24 This problem considers the dynamics of electrical contact to the ca- ternary wire by the pantograph pickup on top of an electric passenger train. a) Write the requested state equations, using the position and velocity of the two masses as the state variables. Note that the element K f has been inadvertently omitted from Figure 2.35b in the text.

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